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1.

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by Ailana Fraser, André Neves, Peter M. Topping, Paul C. Yang ; edited by Matthew J. Gursky, Andrea Malchiodi
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: C.I.M.E. Foundation Subseries ; 2263
オンライン: https://doi.org/10.1007/978-3-030-53725-8
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2.

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by Jan Brandts, Sergey Korotov, Michal Křížek
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Springer Monographs in Mathematics ;
オンライン: https://doi.org/10.1007/978-3-030-55677-8
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3.

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by Bijan Davvaz
出版情報: Singapore : Springer Singapore : Imprint: Springer, 2020
オンライン: https://doi.org/10.1007/978-981-15-9569-1
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Sets, numbers and functions
Limits and continuity
Derivatives
Optimization problems
Integrals
Applications of integrations
Sequences and series
Sets, numbers and functions
Limits and continuity
Derivatives
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edited by Mohammad Hasan Shahid, Mohammad Ashraf, Falleh Al-Solamy, Yasunori Kimura, Gabriel Eduard Vilcu
出版情報: Singapore : Springer Singapore : Imprint: Springer, 2020
シリーズ名: Springer Proceedings in Mathematics & Statistics ; 327
オンライン: https://doi.org/10.1007/978-981-15-5455-1
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Part 1 - Differential Geometry: S. Suzuki and Y. Matsuyama, On complete minimal submanifolds in a sphere
M. Belkhelfa and F. Z. Kadi, The study of Ricci semi symmetry of normal complex contact manifold
R. Sachdeva, R. Kumar and S. S. Bhatia, Warped product slant lightlike submanifolds of indefinite Kaehler manifolds
S. Pandey, R. Prasad and S. K. Verma, Concircular curvature tensor’s properties on Lorentzian para-Sasakian manifolds
Mohd. Aquib, F. R. Al-Solamy, M. Jamali, M. T. Aldossary and M. N. Boyom
Inequalities for statistical submanifolds in Sasakian statistical manifolds
J. Roy, L. I. Piscoran, S. K. Hui, Certain classes of warped product submanifolds of Sasakian manifolds and applications
M. Ahmad, Jae-Bok Jun and M. A. Qayyoom, Hypersurfaces of a metallic Riemannian manifold
M. S. Lone, Willmore surfaces in three dimensional simply isotropic spaces
Part 2 – Algebra: Luisa Cairini, Vincezo De Filippis and G. Scudo, Product of generalized derivations having commuting values on lie ideals
C. Haetinger, M. Ashraf and M. A. Siddeeque, Some extensions theorems in the ring of quotients of *-prime rings
M. Issoual and N. Mahdo, Rings in which every 2-absobing ideal is prime
N. Ur Rehman, M. A. Raza and M. R. Mozumder, A note on skew-commutators with derivations on ideals
N. Dehghani and M. R. Vedadi, A brief survey on semiprime and weakly compressible modules
H. Alhazmi, S. Ali, A. Abbasi and M. R. Mozumder, On commutativity of prime rings with involution involving pair of Derivations
Part 3 – Analysis: T. Ibaraki, S. Kajiba, and Y. Kimura, Approximation of a common fixed point of two nonlinear mappings with nonsummable errors in a Banach space
Y. Kimura, Convex minimization problems on geodesic spaces and the shrinking projection method with errors
T. Kawasaki, An extension of integrals
D. Kaur and R.K. Mohanty, A higher-order finite difference method for numerical solution of the Kuramoto-Sivashinsky equation
B. Kaur, An extension of the Robe’s problem
N. Rao, A. Wafi and S. Khatoon, Better rate of convergence by modified Integral type operators
R. Gandhi, S. K. Sharma and B. S. Komal, Generalized composition operators and Evaluation Kernel on weighted Hardy space
R. Ali and M. Shahzad, Common solution to generalized general variational-like inequality and hierarchical fixed point problems
Part 1 - Differential Geometry: S. Suzuki and Y. Matsuyama, On complete minimal submanifolds in a sphere
M. Belkhelfa and F. Z. Kadi, The study of Ricci semi symmetry of normal complex contact manifold
R. Sachdeva, R. Kumar and S. S. Bhatia, Warped product slant lightlike submanifolds of indefinite Kaehler manifolds
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by Yoshishige Haraoka
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Lecture Notes in Mathematics ; 2271
オンライン: https://doi.org/10.1007/978-3-030-54663-2
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6.

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by Tristan Buckmaster, Sunčica Čanić, Peter Constantin, Alexander A. Kiselev ; edited by Luigi C. Berselli, Michael Růžička
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: C.I.M.E. Foundation Subseries ; 2272
オンライン: https://doi.org/10.1007/978-3-030-54899-5
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edited by Priti Kumar Roy, Xianbing Cao, Xue-Zhi Li, Pratulananda Das, Satya Deo
出版情報: Singapore : Springer Singapore : Imprint: Springer, 2020
シリーズ名: Springer Proceedings in Mathematics & Statistics ; 302
オンライン: https://doi.org/10.1007/978-981-15-0422-8
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E. V. Grigorieva and E. N. Khailov, Optimal Strategies of the Psoriasis Treatment by Suppressing the Interaction Between T-Limphocytes and Dendritic Cells
I. Schreiber, V. Radojkovic, F. Muzika, R. Jurašek and L. Schreiberová, The use of reaction network theory for finding network motifs in oscillatory mechanisms and kinetic parameter estimation
G. M. N'Guerekata, An existence result for some fractional Evolution equation with nonlocal conditions and compact resolvent operator
M. Ghosh, Impact of Tobacco Smoking on the Prevalence of Tuberculosis Infection: a Mathematical Study
S. G. Mosher, C. Costris-Vas and R. Smith, Modelling the Effects of Stigma on Leprosy
U. Forys, One simple model { various complex systems
Km. Meenakshi and S.B. Singh, Reliability Analysis of Multi-State Two-Dimensional System by Universal Generating Function
D. Goswami, Quantum Symmetry of Classical Spaces
P. Sankaran, Quasi-isometry and rigidity
V. Kannan, Existence of Compositional Square-Roots of Functions
E. Savas, On generalized statistical convergence and strongly summable functions of weight g
P. Das, On I- Statistically Order Pre Cauchy Sequences in Riesz Spaces
S. Basu, On Ball dentable property in Banach Spaces
S. Gorai, Some observations concerning polynomial convexity
D. K. Roy and B. Datta, Solution of large-scale multi-objective optimization mod-els for saltwater intrusion control in coastal aquifers uti-lizing ANFIS based linked meta-models for computa-tional feasibility and efficiency
M De, G Das, and K K Mandal, Cost driven optimization of microgrid under environmental uncertainties using different improved PSO models
M.Chowdhury and P.Das, Global exponential stability of non-autonomous Cellular Neural network model with time varying delays
S. S. Roy, Topological Configuration in the Heisenberg Spin Sequence and DNA
S. Sinha, A. Banerjee, N. Rakshit, and S. Ray, Modelling Studies focusing on Microphytobenthos and its role in Benthic-Pelagic Coupling
S. Das, S. Adhurya, and S. Ray, Overview of Ecological Economics and Ecosystem Services Consequences from Shrimp Culture
N. Rakshit, A. Banerjee, S. Sinha, and S. Ray, Recent trends of Ecosystem health and biodiversity status of pelagic-benthic coupled system in Indian estuaries with special emphasis on Hooghly estuary, India
S. Adhurya, S. Das, and S. Ray, Guanotrophication by Waterbirds in Freshwater Lakes: A Review on Ecosystem Perspective
Z. Yuxuan, Z. Yanhui, Lu Xiaohua, On the Volatility of High Frequency Stock Index Based on SV Model of MCMC
L. N. Guin, The effects of unequal diffusion coefficients on spatiotemporal pattern formation in prey harvested reaction-diffusion systems
B.C. Giri, R. Bhattacharjee and T. Maiti, Optimal pricing strategy in a two-echelon supply chain with admissible advanced and delayed payment
D. Mukherjeea, L. N. Guina, S. Chakravartya, Studies on Atherosclerotic Plaque Formation: A Mathematical Approach
Y. Zhou, Threshold of a stochastic delayed SIR epidemic model with saturation incidence
P. Mondal and S. Sinha, Semi-stationary Equilibrium Strategies in Non-cooperative N-person Semi-Markov Games
D. Dubey, S. K. Neogy and S. Sinha, Max Plus Algebra, Optimization and Game Theory
F. Al Basir, Dynamics of infectious diseases with periodic awareness campaigns
B. Samanta, B.C. Giri and K.S. Chaudhuri, A vendor-buyer supply chain model for deteriorating item with quadratic time-varying demand and pro-rata warranty policy
A. Sengupta, J. Chowdhury, Xue-Zhi Li and P. K. Roy, Pest Control of Jatropha curcas Plant for Different Response Functions
Y.X. Dangy, Global dynamics of a TB model with classes age structure and environmental transmission
S. Chakraborty
Gravitational waves : The Mathematical Background
J. D. Ferreiraa, V. S. Hari Rao, Current trends in the bifurcation methods of solutions of real world dynamical systems
S. K. Chakraborty and G. Panda, A modified coordinate search method based on axes rotation
E. V. Grigorieva and E. N. Khailov, Optimal Strategies of the Psoriasis Treatment by Suppressing the Interaction Between T-Limphocytes and Dendritic Cells
I. Schreiber, V. Radojkovic, F. Muzika, R. Jurašek and L. Schreiberová, The use of reaction network theory for finding network motifs in oscillatory mechanisms and kinetic parameter estimation
G. M. N'Guerekata, An existence result for some fractional Evolution equation with nonlocal conditions and compact resolvent operator
8.

電子ブック

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by Thomas Alazard, Claude Zuily
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Universitext ;
オンライン: https://doi.org/10.1007/978-3-030-50284-3
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Part I Tools and Problems
1 Elements of functional analysis and distributions
2 Statements of the problems of Chapter 1
3 Functional spaces
4 Statements of the problems of Chapter 3
5 Microlocal analysis
6 Statements of the problems of Chapter 5
7 The classical equations
8 Statements of the problems of Chapter 7
Part II Solutions of the Problems. A Classical results. Index
Part I Tools and Problems
1 Elements of functional analysis and distributions
2 Statements of the problems of Chapter 1
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by Tarlok Nath Shorey
出版情報: Singapore : Springer Singapore : Imprint: Springer, 2020
シリーズ名: Infosys Science Foundation Series in Mathematical Sciences ;
オンライン: https://doi.org/10.1007/978-981-15-9097-9
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Introduction And Preliminaries
Cauchy Theorems and Their Applications
Conformal Mappings and Riemann Mapping Theorem
Picard's Theorems
Factorisation of Analytic Functions in C and in a Region
Gamma Function
Riemann Zeta Function
Dirichlet Series and Dirichlet Theorem
Harmonic Functions
Elliptic Functions and Modular Forms
Introduction And Preliminaries
Cauchy Theorems and Their Applications
Conformal Mappings and Riemann Mapping Theorem
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by Jianhong Wu, Xue Zhang
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Lecture Notes on Mathematical Modelling in the Life Sciences ;
オンライン: https://doi.org/10.1007/978-3-030-54024-1
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1. Ecology, Epidemiology and Global Public Health Burden of Tick-Borne Diseases
2. Deterministic Models and Temperature-Driven R0 Maps
3. Estimating Infection Risk of Tick-Borne Encephalitis
4. Structured Tick Population Dynamics
5. Infestation Dynamics and Tick-on-Host Distribution Pattern Formation
6. Oscillations Due To Diapause
7. Additional Topics for Future Studies
1. Ecology, Epidemiology and Global Public Health Burden of Tick-Borne Diseases
2. Deterministic Models and Temperature-Driven R0 Maps
3. Estimating Infection Risk of Tick-Borne Encephalitis
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by Yves Achdou, Pierre Cardaliaguet, François Delarue, Alessio Porretta, Filippo Santambrogio ; edited by Pierre Cardaliaguet, Alessio Porretta
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: C.I.M.E. Foundation Subseries ; 2281
オンライン: https://doi.org/10.1007/978-3-030-59837-2
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by Vladislav V. Kravchenko
出版情報: Cham : Springer International Publishing : Imprint: Birkhäuser, 2020
シリーズ名: Frontiers in Mathematics ;
オンライン: https://doi.org/10.1007/978-3-030-47849-0
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Introduction
Preliminaries on Sturm-Liouville equations
Finite interval
Half-line
Quantum scattering problem on the half-line
Scattering problem on the line
Inverse scattering transform method
Main transmutation operators
Series representations
Series representations for the Jost solution
Sturm-Liouville problems on finite intervals
Spectral problems on infinite intervals
The inverse problem on a finite interval
Solving the inverse problem on a half-line
Inverse quantum scattering on the half-line
Inverse scattering on the line
Introduction
Preliminaries on Sturm-Liouville equations
Finite interval
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by Dimitrios Ntalampekos
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Lecture Notes in Mathematics ; 2268
オンライン: https://doi.org/10.1007/978-3-030-50805-0
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by Alfio Quarteroni, Paola Gervasio
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: La Matematica per il 3+2 ; 121
オンライン: https://doi.org/10.1007/978-3-030-44541-6
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1. A warm-up to models
2. Getting started
3. Reckoning with the computer
4. A virtual surfer for the web
5. A network of capillaries
6. Predators and preys in the maths ocean
7. Take-home message
8. Solutions to exercises
1. A warm-up to models
2. Getting started
3. Reckoning with the computer
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by Jérôme Losson, Michael C. Mackey, Richard Taylor, Marta Tyran-Kamińska
出版情報: New York, NY : Springer US : Imprint: Springer, 2020
シリーズ名: Fields Institute Monographs ; 38
オンライン: https://doi.org/10.1007/978-1-0716-1072-5
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Part I. Introduction and Background to Density Evolution Problems
1. Introduction and Motivation
2. Density Evolution in Systems with Finite Dimensional Dynamics
Part II. Illustrating the Problem and Making it Precise for Differential Delay Equations
3. Dynamics in Ensembles of Differential Delay Equations
4. The Problem
III. Possible Analytical Approaches
5. The Hopf Functional Approach
6. The Method of Steps
Part IV. Possible Approximating Solutions
7. Turning a Differential Delay Equation into a High-Dimensional Map
8. Approximate "Liouville-like" Equation
9. Summary and Conclusions
References
Index
Part I. Introduction and Background to Density Evolution Problems
1. Introduction and Motivation
2. Density Evolution in Systems with Finite Dimensional Dynamics
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edited by Frank Nijhoff, Yang Shi, Da-jun Zhang
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Springer Proceedings in Mathematics & Statistics ; 338
オンライン: https://doi.org/10.1007/978-3-030-57000-2
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Quadrangular Sets in Projective LIne and in Moebius Space and Geometric Interpretation of the Non-Commutative Discrete Schwarzian Kadomtsev-Petviashvili Equation (Doliwa et al.)
Complexity and integrability in 4D bi-rational maps with two invariants (Gubbiotti et al.)
A non-linear relation for certain hypergeometric functions(Schmalz et al.)
An algebraically stable variety for a four-dimensional dynamical system reduced from the lattice super-KdV equation (Carstea et al.)
On the Lattice Potential KP Equation(Cao et al.)
Opers for higher states of the quantum Boussinesq model (Masoero et al.)
Nonsingular Rational Solutions to Integrable models (Gegenhasi et al.)
Stokes phenomenon arising in the confluence of the Gauss hypergeometric equation (Horrobin et al.)
Periodic trajectories of ellipsoidal billiards in the 3-dimensional Minkowski space (Dragovi´c et al.)
Analogues of Kahan’s method for higher order equations of higher degree (Hone et al.)
On some explicit representations of the elliptic Painlev´e equation (Noumi et al.)
Quadrangular Sets in Projective LIne and in Moebius Space and Geometric Interpretation of the Non-Commutative Discrete Schwarzian Kadomtsev-Petviashvili Equation (Doliwa et al.)
Complexity and integrability in 4D bi-rational maps with two invariants (Gubbiotti et al.)
A non-linear relation for certain hypergeometric functions(Schmalz et al.)
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by Vladimir I. Bogachev, Oleg G. Smolyanov
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Moscow Lectures ; 4
オンライン: https://doi.org/10.1007/978-3-030-38219-3
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Metric and Topological Spaces
Fundamentals of Measure Theory
The Lebesgue Integral
Connections between the Integral and Derivative
Normed and Euclidean Spaces
Linear Operators and Functionals
Spectral Theory
Locally Convex Spaces and Distributions
The Fourier Transform and Sobolev Spaces
Unbounded Operators and Operator Semigroups
Banach Algebras
Infinite-Dimensional Analysis
Metric and Topological Spaces
Fundamentals of Measure Theory
The Lebesgue Integral
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edited by Pablo Miranda, Nicolas Popoff, Georgi Raikov
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Latin American Mathematics Series – UFSCar subseries ;
オンライン: https://doi.org/10.1007/978-3-030-55556-6
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Commutator methods for N-body Schrödinger operators
Resolvent estimates and resonance free regions for Schrödinger operators with matrix-valued potentials
One-dimensional discrete Anderson model in a decaying random potential: From a.c. spectrum to dynamical localization
On non-selfadjoint operators with finite discrete spectrum
Pseudo-differential perturbations of the Landau Hamiltonian
Semiclassical surface wave tomography of isotropic media
Persistence of point spectrum for perturbations of one-dimensional operators with discrete spectra
Resonances for a system of Schrödinger operators above an energy-level crossing
Nonexistence result for wave operators in massive relativistic system
Quantized calculus for perturbed massive Dirac operator on noncommutative Euclidian space
On the explicit semiclassical limiting eigenvalue (resonance) distribution for the Zeeman (Stark) hydrogen atom Hamiltonian
Negative spectrum of the Robin Laplacian
On some integral operators appearing in scattering theory, and their resolutions
The strong Scott conjecture: The density of heavy atoms close to the nucleous
Commutator methods for N-body Schrödinger operators
Resolvent estimates and resonance free regions for Schrödinger operators with matrix-valued potentials
One-dimensional discrete Anderson model in a decaying random potential: From a.c. spectrum to dynamical localization
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by Marta Lewicka
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Universitext ;
オンライン: https://doi.org/10.1007/978-3-030-46209-3
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目次情報: 続きを見る
1 Introduction
2 The linear case: random walk and harmonic functions
3 Tug-of-War with noise. Case p ∈ [2,∞)
4 Boundary aware tug-of-war with noise. Case p ∈ (2,∞)
5 Game-regularity and convergence. Case p ∈ (2,∞)
6 Mixed tug-of-war with noise. Case p ∈ (1,∞)
A Background in probability
B Background in Brownian motion
C Background in PDEs. D Solutions to selected exercises
References
Index
1 Introduction
2 The linear case: random walk and harmonic functions
3 Tug-of-War with noise. Case p ∈ [2,∞)
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edited by Vladimir Georgiev, Tohru Ozawa, Michael Ruzhansky, Jens Wirth
出版情報: Cham : Springer International Publishing : Imprint: Birkhäuser, 2020
シリーズ名: Trends in Mathematics ;
オンライン: https://doi.org/10.1007/978-3-030-58215-9
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Local smoothing of Fourier integral operators and Hermite functions
On () -classes on the Engel group
Gelfand triples for the Kohn–Nirenberg quantization on homogeneous Lie groups
A multiplicity result for a non-homogeneous subelliptic problem with Sobolev exponent
The Dixmier trace and the noncommutative residue for multipliers on compact manifolds
On the focusing energy-critical 3D quintic inhomogeneous NLS
Lifespan of solutions to nonlinear Schrödinger equations with general homogeneous nonlinearity of the critical order
Spectral theory for magnetic Schrödinger operators in exterior domains with exploding and oscillating long-range potentials
Simple proof of the estimate of solutions to Schrödinger equations with linear and sub-linear potentials in modulation spaces
Remark on asymptotic order for the energy critical nonlinear damped wave equation to the linear heat equation via the Strichartz estimates
On uniqueness for the generalized Choquard equation
Characterization of the ground state to the intercritical NLS with a linear potential by the virial functional
Well-posedness for a generalized Klein-Gordon-Schrödinger equations
Local smoothing of Fourier integral operators and Hermite functions
On () -classes on the Engel group
Gelfand triples for the Kohn–Nirenberg quantization on homogeneous Lie groups
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edited by Jacek Banasiak, Adam Bobrowski, Mirosław Lachowicz, Yuri Tomilov
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Springer Proceedings in Mathematics & Statistics ; 325
オンライン: https://doi.org/10.1007/978-3-030-46079-2
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Preface
Part I, 85th Birthday Lecture: J. Kisyński, Topologies in the Set of Rapidly Decreasing Distributions
Part II, Theory: Y. A. Butko, The method of Chernoff approximation
A. Hussein and Delio Mugnolo, Laplacians with point interactions – expected and unexpected spectral properties
S. Kosowicz, Remarks on characterization of generators of bounded C0-semigroups
S. Trostorff , Semigroups associated with differential-algebraic equations
S. A. Zagrebina and N. N. Solovyova, Positive degenerate holomorphic groups of the operators and their applications
Part III, Applications: B. Andreianov and M. D. Rosini, Microscopic selection of solutions to scalar conservation laws with discontinuous flux in the context of vehicular traffic
A. Bartłomiejczyk and M. Wrzosek, Newton’s method for the McKendrick-von Foerster equation
M. Bongarti, S. Charoenphon and I. Lasiecka, Singular thermal relaxation limit for the Moore-Gibson-Thompson equation arising in propagation of acoustic waves
R. Brodnicka and H. Gacki, Applications of the Kantorovich-Rubinstein maximum principle in the theory of Boltzmann equations
E. V. Bychkov, Propagators of the Sobolev Equations
G. Ruiz Goldstein, J. A. Goldstein, D. Guidetti and S. Romanelli, The Fourth Order Wentzell Heat Equation
P. Kalita, G. Łukaszewicz, and J. Siemianowski, Nonlinear semigrous and their perturbations in hydrodynamics. Three examples
A. Karpowicz and H. Leszczyński, Method of lines for a kinetic equation of swarm formation
A. V. Keller and M. A. Sagadeeva, Degenerate Matrix Groups and Degenerate Matrix Flows in Solving the Optimal Control Problem for Dynamic Balance Models of the Economy
O. G. Kitaeva, D. E. Shafranov and G. A. Sviridyuk, Degenerate holomorphic semigroups of operators in spaces of K-”noises” on Riemannian manifolds
A. C.S. Ng, Optimal energy decay in a one-dimensional wave-heat-wave system
Wha-Suck Lee and C. Le Roux, Implicit convolution Fokker-Planck equations: Extended Feller convolution
K. Pichór, R. Rudnicki, Asymptotic properties of stochastic semigroups with applications to piecewise deterministic Markov processes
L. Paunonen, On Polynomial Stability of Coupled Partial Differential Equations in 1D
K. V. Vasiuchkova, N. A. Manakova and G. A. Sviridyuk, Degenerate Nonlinear Semigroups of Operators and Their Applications
R. Triggiani, Sharp Interior and Boundary Regularity of the SMGTJ-equation with Dirichlet or Neumann Boundary Control
A. A. Zamyshlyaeva and A. V. Lut, Inverse Problem for The Boussinesq – Love Mathematical Model
A. A. Zamyshlyaeva, O. N. Tsyplenkova, Optimal control of solutions to Showalter –Sidorov problem for a high order Sobolev type equation with additive ”noise”
Preface
Part I, 85th Birthday Lecture: J. Kisyński, Topologies in the Set of Rapidly Decreasing Distributions
Part II, Theory: Y. A. Butko, The method of Chernoff approximation
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edited by Fatihcan M. Atay, Pavel B. Kurasov, Delio Mugnolo
出版情報: Cham : Springer International Publishing : Imprint: Birkhäuser, 2020
シリーズ名: Operator Theory: Advances and Applications ; 281
オンライン: https://doi.org/10.1007/978-3-030-44097-8
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Stability matters for reaction diffusion-equations on metric graphs under the anti-Kirchhoff vertex condition
Many-particle quantum graphs: A review
Deterministic and stochastic mean-field SIRS models on heterogeneous networks
Krein formula and convergence of Hamiltonians with scald potentials in dimension one
Ground states of the L2-critical NLS equation with localized nonlinearity on a tadpole graph
An asymptotic expansion of the trace of the heat kernel of a singular two-particle contact interaction in one-dimension
Modeling dynamic coupling in social interactions
A note on Cheeger inequalities for piecewise at surfaces
Unravelling topological determinants of excitable dynamics on graphs using analytical mean-field approaches
Spectral zeta functions
A family of diameter-based eigenvalue bounds for quantum graphs
Missing-level statistics in chaotic microwave networks versus level statistics of partially chaotic systems
Signatures, lifts, and eigenvalues of graphs
Strong Isoperimetric Inequality for Tessellating Quantum Graphs
Spectral monotonicity for Schrödinger operators on metric graphs
Random graphs and their subgraphs
Massive Modes for Quantum Graphs
Stability matters for reaction diffusion-equations on metric graphs under the anti-Kirchhoff vertex condition
Many-particle quantum graphs: A review
Deterministic and stochastic mean-field SIRS models on heterogeneous networks
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edited by Nalini Anantharaman, Ashkan Nikeghbali, Michael Th. Rassias
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
オンライン: https://doi.org/10.1007/978-3-030-56409-4
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Monochromatic Random Waves for general Riemannian manifolds (Canzani)
A Brief Review of the “ETH- Approach to Quantum Mechanics” (Fröhlich)
Linear and non-linear harmonic boundaries of graphs; an approach with ℓp-cohomology in degree one (Gournay)
Polyharmonic functions for finite graphs and Markov chains (Hirschler)
Interacting electrons in a random medium: a simple one-dimensional model (Klopp)
Entropies for negatively curved manifolds (Ledrappie)- Two-dimensional quantum Yang-Mills theory and the Makeenko-Migdal equations (Lévy)
Limit operators for circular ensembles (Maples)
Gibbs measures of nonlinear Schrödinger equations as limits of quantum many-body states in dimension d ≤ 3 (Sohinger)
Interfaces in spectral asymptotics and nodal sets (Zelditch)
Monochromatic Random Waves for general Riemannian manifolds (Canzani)
A Brief Review of the “ETH- Approach to Quantum Mechanics” (Fröhlich)
Linear and non-linear harmonic boundaries of graphs; an approach with ℓp-cohomology in degree one (Gournay)
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by Daniel W. Stroock
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Graduate Texts in Mathematics ; 262
オンライン: https://doi.org/10.1007/978-3-030-58478-8
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目次情報:
Preface
Notation
1. The Classical Theory.-2. Measures. -3. Lebesgue Integration.-4. Products of Measures.-5. Changes of Variable.-6. Basic Inequalities and Lebesgue Spaces.-7. Hilbert Space and Elements of Fourier Analysis.-8. Radon–Nikodym, Hahn, Daniell Integration, and Carathéodory- Index
Preface
Notation
1. The Classical Theory.-2. Measures. -3. Lebesgue Integration.-4. Products of Measures.-5. Changes of Variable.-6. Basic Inequalities and Lebesgue Spaces.-7. Hilbert Space and Elements of Fourier Analysis.-8. Radon–Nikodym, Hahn, Daniell Integration, and Carathéodory- Index
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by Martin Schechter
出版情報: Cham : Springer International Publishing : Imprint: Birkhäuser, 2020
オンライン: https://doi.org/10.1007/978-3-030-45603-0
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Preface
Linking Systems
Sandwich Systems
Linking Sandwich Sets
The Monotonicity Trick
Infinite Dimensional Linking
Differential Equations
Schrödinger Equations
Zero in the Spectrum
Global Solutions
Second Order Hamiltonian Systems
Core Functions
Custom Monotonicity Methods
Elliptic Systems
Flows and Critical Points
The Semilinear Wave Equation
Nonlinear Optics
Radially Symmetric Wave Equations
Multiple Solutions
Preface
Linking Systems
Sandwich Systems
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by Yuri Vassilevski, Kirill Terekhov, Kirill Nikitin, Ivan Kapyrin
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
オンライン: https://doi.org/10.1007/978-3-030-47232-0
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Chapter 1 - Introduction
Chapter 2 - Monotone finite volume method on general meshes
Chapter 3 - Application of MFV in reservoir simulatio
Chapter 4 - Application of FVM in modelling of subsurface radionuclide migration
Chapter 5 - Application of MFV in modelling of coagulation of blood flow
Chapter 6 - INMOST platform technologies for numerical model development
Chapter 1 - Introduction
Chapter 2 - Monotone finite volume method on general meshes
Chapter 3 - Application of MFV in reservoir simulatio
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by Robert Magnus
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Springer Undergraduate Mathematics Series ;
オンライン: https://doi.org/10.1007/978-3-030-46321-2
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目次情報: 続きを見る
1 Introduction
2 Real Numbers
3 Sequences and Series
4 Functions and Continuity
5 Derivatives and Differentiation
6 Integrals and Integration
7 The Elementary Transcendental Functions
8 The Techniques of Integration
9 Complex Numbers
10 Complex Sequences and Series
11 Function Sequences and Function Series
12 Improper Integrals
Index
1 Introduction
2 Real Numbers
3 Sequences and Series
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edited by Sandra Pinelas, Arkadii Kim, Victor Vlasov
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Springer Proceedings in Mathematics & Statistics ; 318
オンライン: https://doi.org/10.1007/978-3-030-42176-2
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目次情報: 続きを見る
Part I: Differential Equations, Optimal Control and Stabilization
Burlakov, E. O. and Zhukovskiy, E. S: On Abstract Volterra Equations in Partially Ordered Spaces and Their Applications
Burlakov, E. O. and Pluzhnikova, E. A: On Implicit Abstract Volterra Equations in Metric Spaces
Vdovin, A. Yu. and Rubleva, S. S: On the Choice of Parameters of the Method of Dynamic Regularization for the Problem of Differentiation
Gorbova, T. V., Pimenov, V. G., and Solodushkin, S. I: Numerical Algorithm for Nonlinear Partial Differential Equation with Heredity and its Program Implementation
Zhukovskiy, S. E.: On Coincidence Points of Mappings between Partially Ordered Sets
Zykov, I. V.: An Algorithm for Constructing Reachable Sets for Systems with Multiple Integral Constraints
Kim, A. V., Andryushechkina, N. A., and Kim, V. V: Similarity and Structural Stability with respect to Delay of FDE Phase Portraits
Kim, A. V. and Andryushechkina, N. A: Real-Time Modeling of System State During the Process of More Precise Estimation of the Initial Position.-Kim, A. V. and Andryushechkina, N. A: Finite Difference Scheme for Special System of Partial Differential Equations
Layton, W. and McLaughlin, M: On URANS Congruity with Time Averaging: Analytical Laws Suggest Improved Models
Lebedev, P. D. and Uspenskii, A. A: Geometric Singularities of the Solution of the Dirichlet Boundary Problem for Hamilton–Jacobi Equation with a Low Order of Smoothness of the Border Curve
Pavlova, N. G.: Applications of the Theory of Covering Maps to the Study of Dynamic Models of Economic Processes with Continuous Time
Cherepennikov, V. B. and Kim, A. V: Smooth Solutions of Linear Functional Differential Equations of Neutral Type
Chernikova, N. Yu., Laneev, E. B., Muratov, M. N., and Ponomarenko, E. Yu: On an Inverse Problem to a Mixed Problem for the Poisson Equation
Shevchenko, R. I.: Stabilization of the Two Degree of Freedom Linear Milling Model
Part II: Stochastic Methods
Bashkirtseva, I. A. and Belyaeva, T. D: Stochastic Sensitivity Analysis and Control in the Bistable Electronic Generator
Bashkirtseva, I. A. and Zaitseva, S. S: Noise-induced Effects in Goldbeter Model
Belyaev, A. V. and Ryazanova, T. V: Piecewise Smooth Map of Neuronal Activity: Deterministic and Stochastic Cases
Kolinichenko, A. P. and Ryashko, L. B: Analysis of Spatial Patterns in the Distributed Stochastic Brusselator
Nasyrova, V. M. and Ryashko, L. B: Stochastic Splitting of Oscillations in a Discrete Model of Neural Activity
Ryashko, L. B. and Slepukhina, E. S: Stochastic Deformation of Invariant Tori in Neuron Model
Part III: Topology and Function Approximation
Lipin, A. E.: Resolvability of Pseudocompact Spaces at a Point
Pleshcheva, E. A: Fast Algorithms for Function Decomposition Based on n-Separate Periodic Wavelets
Part IV: Mathematical Biology and Bioinformatics
Averbukh, V. L., Mikhailov, I. O., Forghani, M. A., and Vasev, P. A: 3D Visualization to Analyze Multidimensional QBiological and Medical Data
Markov, N. S. and Ryvkin, A. M: The Peculiarities of Calcium Sparks Formation in Cardiac Cells in silico
Myachina, T. A. and Lookin, O. N: A Configurable Algorithm for Determining the Mean Sarcomere Length of a Cardiomyocyte by Discrete Fourier Transform
Pravdin, S. F., Nezlobinsky, T. V., Epanchintsev, T. I., Dierckx, H. and Panfilov, A. V: Simulation of Low-voltage Cardioversion in a Two-Dimensional Isotropic Excitable Medium Using Ionic Cell Models
Razumov, A. A. and Ushenin, K. S: The Influence of Left Ventricle Wall Thickness and Scar Fibrosis on Pseudo-ECG
Ryvkin, A. M. and Budeeva, E. A: Modeling the Effect of Ion Channel Inhibitors on the Functioning of the Cardiac Sinoatrial Node Cells
Khamzin, S. Yu. and Iaparov, B. I: The Influence of Ryanodine Receptors’ Non-uniform Arrangement on the Probability of Ca2+ Sparks
Stroshkov, V. P., Zotova, N. V., Novikov, N. V., Nosyrev, M. B., Semin, A. N., Kitonsa, H: Methods of Evaluating the Adaptation of the Body of Agricultural Workers to Changing Conditions of Social and Industrial Environment
Part V: Mathematical Modelling in Mining
Makarov, N. V., V.N. Makarov., V. N., Lifanov, A. V., Materov, A. Y., and Kitonsa, H:Development of Mathematical Model of Circular Grill of Piece-Smooth Profiles and Creation on its Basis of Gas-Sucking Fans
Makarov, V. N., Makarov, N. V., Lifanov, A. V., Materov, A. Y., and Kitonsa, H: Mathematical Model of Conformal Mappings in the Theory of Radial Grids of Mine Turbomachines
Nosyrev, M. B., Makarov, N. V., Makarov, V. N., Ugolnikov, A. V., and Kitonsa, H: Mathematical Model of Hydrovortex Hetero-Coagulation
Part VI: Mathematical Modelling in Economics
Kolesnikov, S. I. and Dolzhenko, L. M: Methodology for Assessing the Level of the Territory’s Economic Security
Novikov, N. V., Nosyrev, M. B., Plotnikov, N. S., Semin, A. N., Stroshkov, V. P., and Kitonsa H: The Third Dimension of the Supply-Demand Diagram
Part VII: Computer Science and Image Processing
Veretennikov, A. B.: Proximity Full-text Searches of Frequently Occurring Words with a Response Time Guarantee
Kostousov, V. B. and Dunaevskaya, K. V: Development and Research of Algorithm for Coordinates Correction on the Basis of Microrelief
Kornilov, F. A. and Dunaeva, A. V: Method for Constructing Orthorectified Satellite Image using Stereo Imagery and Digital Surface Model
Serezhnikova, T. I: An Effective Subgradient Method for Simultaneous Restoration and Segmentation of Blurred Images
Part I: Differential Equations, Optimal Control and Stabilization
Burlakov, E. O. and Zhukovskiy, E. S: On Abstract Volterra Equations in Partially Ordered Spaces and Their Applications
Burlakov, E. O. and Pluzhnikova, E. A: On Implicit Abstract Volterra Equations in Metric Spaces
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by Jun Kigami
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Lecture Notes in Mathematics ; 2265
オンライン: https://doi.org/10.1007/978-3-030-54154-5
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by Fernando Q. Gouvêa
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Universitext ;
オンライン: https://doi.org/10.1007/978-3-030-47295-5
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目次情報: 続きを見る
1 Apéritif
2 Foundations
3 The p-adic Numbers
4 Exploring ℚp
5 Elementary Analysis in ℚp
6 Vector Spaces and Field Extensions
7 Analysis in ℂp
8 Fun With Your New Head
A Sage and GP: A (Very) Quick Introduction
B Hints and Comments on the Problems
C A Brief Glance at the Literature
Bibliography
Index
1 Apéritif
2 Foundations
3 The p-adic Numbers
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by Kazuaki Taira
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Lecture Notes in Mathematics ; 1499
オンライン: https://doi.org/10.1007/978-3-030-48788-1
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by Béla Bajnok
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Undergraduate Texts in Mathematics ;
オンライン: https://doi.org/10.1007/978-3-030-56174-1
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目次情報: 続きを見る
Preface to Instructors
Preface to Students
Acknowledgments
I What's Mathematics
1 Let's Play a Game!
2 What's the Name of the Game?
3 How to Make a Statement
4 What's True in Mathematics?
A Ten Famous Conjectures.-B Ten Famous Theorems
II The Foundations of Mathematics
5 Let's Be Logical!
6 Setting Examples
7 Quantifier Mechanics
8 Let's Be Functional!
C The Foundations of Set Theory
III How to Prove It
9 Universal Proofs
10 The Domino Theory
11 More Domino Games
12 Existential Proofs
D Ten Famous Problems
IV Advanced Math for Beginners
13 Mathematical Structures
14 Working in the Fields (and Other Structures)
15 Group Work
16 Good Relations
17 Order, Please!
18 Now That's the Limit!
19 Sizing It Up
20 Infinite Delights
21 Number Systems Systematically
22 Games Are Valuable!
E Graphic Content
F All Games Considered
G A Top Forty List of Math Theorems
Preface to Instructors
Preface to Students
Acknowledgments
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by Christer Bennewitz, Malcolm Brown, Rudi Weikard
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Universitext ;
オンライン: https://doi.org/10.1007/978-3-030-59088-8
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目次情報: 続きを見る
1 Introduction
2 Hilbert space
3 Abstract spectral theory
4 Sturm–Liouville equations
5 Left-definite Sturm–Liouville equations
6 Oscillation, spectral asymptotics and special functions
7 Uniqueness of the inverse problem
8 Scattering
A Functional analysis
B Stieltjes integrals
C Schwartz distributions
D Ordinary differential equations
E Analytic functions
F The Camassa–Holm equation
References
Symbol Index
Subject Index
1 Introduction
2 Hilbert space
3 Abstract spectral theory
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by John Stillwell
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Undergraduate Texts in Mathematics ;
オンライン: https://doi.org/10.1007/978-3-030-55193-3
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1. The Theorem of Pythagoras
2. Greek Geometry
3. Greek Number Theory
4. Infinity in Greek Mathematics
5. Polynomial Equations
6. Algebraic Geometry
7. Projective Geometry
8. Calculus
9. Infinite Series
10. Elliptic Curves and Functions
11. Complex Numbers and Curves
12. Complex Numbers and Functions
13. Non-Euclidean Geometries
14. Group Theory
15. Topology
16. Commutative Algebra
17. Sets, Logic, and Computation
Bibliography
Index
1. The Theorem of Pythagoras
2. Greek Geometry
3. Greek Number Theory
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by Christian Constanda, Dale Doty
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Developments in Mathematics ; 65
オンライン: https://doi.org/10.1007/978-3-030-55849-9
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1. The Mathematical Model
2. Generalized Fourier Series
3. Interior Dirichlet Problem
4. Interior Neumann Problem
5. Interior Robin Problem
6. Exterior Dirichlet Problem
7. Exterior Neumann Problem
8. Exterior Robin Problem
A. Numerical Issues
B. Numerical Integration
C. Interior Boundary Value Problem for D[x,y]
D. Exterior Boundary Value Problems for D^A[X,y]
E. Numerical Integration of P[x,y] and P^A[x,y]
References
Index
1. The Mathematical Model
2. Generalized Fourier Series
3. Interior Dirichlet Problem
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edited by David H. Bailey, Naomi Simone Borwein, Richard P. Brent, Regina S. Burachik, Judy-anne Heather Osborn, Brailey Sims, Qiji J. Zhu
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Springer Proceedings in Mathematics & Statistics ; 313
オンライン: https://doi.org/10.1007/978-3-030-36568-4
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目次情報: 続きを見る
Section I: Applied Analysis, Optimisation, and Convexity
Burachik, R. and Li, G: Introduction .-Borwein, D., Borwein, J. M., and Sims, B: Symmetry and the Monotonicity of Certain Riemann Sums.-Rockafellar, R. T.: Risk and Utility in the Duality Framework of Convex Analysis
Dinh, N., Goberna, M. A., and Volle, M: Characterizations of robust and stable duality for linearly perturbed uncertain optimization problems .-Millán, R. D., Lindstrom, S. B., and Roshchina, V: Comparing Averaged Relaxed Cutters and Projection Methods: Theory and Examples
Section II: Education
Borwein, N. S.: Introduction
Borwein, N. S. and Osborn, J-a. H: On the Educational Legacies of Jonathan M. Borwein
Devlin, K.: How Mathematicians Learned to Stop Worrying and Love the Computer
Goos, M.: Crossing Boundaries: Fostering Collaboration between Mathematics Educators and Mathematicians in Initial Teacher Education Programs
Holmes, K.: Mathematics Education in the Computational Age: Challenges and Opportunities
Phillips, C. and Ly, F. K: Mathematics Education for Indigenous Students in Preparation for Engineering and Information Technologies
Assis, M. and Donovan, M: Origami as a Teaching Tool for Indigenous Mathematics Education
Jungić, D. and Jungić, V.: Dynamic Visual Models: Ancient Ideas and New
Chan, E. Y. S. and Corless, R. M: A Random Walk Through Experimental Mathematics
Section III: Financial Mathematics
Bailey, D. and Zhu, Q. J: Introduction
Altman, M.: A Holistic Approach to Empirical Analysis: The Insignificance of P, Hypothesis Testing, and Statistical Significance
Bailey, D. H, Borwein, J. M, Salehipour, A. and Prado, M. L: Do Financial Gurus Produce Reliable Forecasts?
Borwein, J. M and Zhu, Q. J: Entropy Maximization in Finance
Section IV: Number Theory, Special Functions, and Pi
Brent, R.: Introduction
Baake, M., Coons, M, and Mañibo, N: Binary Constant-Length Substitutions and Mahler Measures of Borwein Polynomials
Brent, R.: The Borwein Brothers, Pi and the AGM
Calude, C. S. and Calude, E: The Road to Quantum Computational Supremacy
Dilcher, Karl.: Nonlinear Identities for Bernoulli and Euler Polynomials
Hussain, M. Mahboubi, S. H. and Motahari, A. S: Metrical Theory for Small Linear Forms and Applications to Interference Alignment
Platt, D. and Trudgian, T: Improved Bounds on Brun’s Constant
Skerritt, M. P. and Vrbik, P: Extending the PSLQ Algorithm to Algebraic Integer Relations
Straub, A. and Zudilin, W: Short Walk Adventures
Section I: Applied Analysis, Optimisation, and Convexity
Burachik, R. and Li, G: Introduction .-Borwein, D., Borwein, J. M., and Sims, B: Symmetry and the Monotonicity of Certain Riemann Sums.-Rockafellar, R. T.: Risk and Utility in the Duality Framework of Convex Analysis
Dinh, N., Goberna, M. A., and Volle, M: Characterizations of robust and stable duality for linearly perturbed uncertain optimization problems .-Millán, R. D., Lindstrom, S. B., and Roshchina, V: Comparing Averaged Relaxed Cutters and Projection Methods: Theory and Examples
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edited by Dia Zeidan, Seshadev Padhi, Aliaa Burqan, Peer Ueberholz
出版情報: Singapore : Springer Singapore : Imprint: Springer, 2020
シリーズ名: Forum for Interdisciplinary Mathematics ;
オンライン: https://doi.org/10.1007/978-981-15-8498-5
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V. Bevia, C. Burgos, J.C. Cortes, A. Navarro-Quiles, and R. J. Villanueva: Analysing Differential Equations with Uncertainties via the Liouville–Gibbs Theorem: Theory and Applications
Reem Edwan, Rania Saadeh, Samir Hadid, Mohammed Al-Smadi, and Shaher Momani: Solving Time-Space Fractional Cauchy Problem with Constant Coefficients by Finite Difference Method
Mohammad S. Alkousa: On Modification of an Adaptive Stochastic Mirror Descent Algorithm for Convex Optimization Problems with Functional Constraints
Amir Baklouti and Samiha Hidri: Inductive Description of Quadratic Lie and Pseudo-Euclidean Jordan Triple Systems
Ko Messan Agbavon, Appanah Rao Appadu, and Bilge Inan: Comparative Study of Some Numerical Methods for the Standard Fitzhugh–Nagumo Equation
Mohammed Shqair, and Essam R. El-Zahar: Analytical Solution of Neutron Diffusion Equation in Reflected Reactors using Modified Differential Transform Method
Doria Affane and Mustapha Fateh Yarou: Second-Order Perturbed State-Dependent Sweeping Process with Subsmooth Sets
Khaled Alhussan, Kirill Delendik, Natalia Kolyago, Oleg Penyazkov, and A.V. Olga Voitik: Membrane Hydrogen Mixture Separation: Modelling and Analysis
TalatAlkhouli, Hatem S.A. Hamatta, Mustafa Mamat, and Mohd Rivaie: An Efficient Hybrid Conjugate Gradient Method for Unconstrained Optimization
Karima Laoubi and Djamila Seba: On the Polynomial Decay of the Wave Equation with Wentzell Conditions
Shatha Hasan, Samir Hadid, Mohammed Al-Smadi, Omar Abu Arqub, and Shaher Momani: Solutions of Fractional Verhulst Model by Modified Analytical and Numerical Approaches
Julia Calatayud , Juan Carlos Cortes, Marc Jornet, and Laura Villafuerte: Is It Worthwhile Considering Orthogonality in Generalized Polynomial Chaos Expansions Applied to Solving Stochastic Models?
V. Bevia, C. Burgos, J.C. Cortes, A. Navarro-Quiles, and R. J. Villanueva: Analysing Differential Equations with Uncertainties via the Liouville–Gibbs Theorem: Theory and Applications
Reem Edwan, Rania Saadeh, Samir Hadid, Mohammed Al-Smadi, and Shaher Momani: Solving Time-Space Fractional Cauchy Problem with Constant Coefficients by Finite Difference Method
Mohammad S. Alkousa: On Modification of an Adaptive Stochastic Mirror Descent Algorithm for Convex Optimization Problems with Functional Constraints
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edited by Maria Rosaria Lancia, Anna Rozanova-Pierrat
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名: ICIAM 2019 SEMA SIMAI Springer Series ; 8
オンライン: https://doi.org/10.1007/978-3-030-61803-2
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C. Alberini and S. Finzi Vita, A numerical approach to a nonlinear diffusion model for self-organised criticality phenomena
M. Cefalo et al., Approximation of 3D Stokes flows in fractal domains
S. Fragapane, ∞-Laplacian obstacle problems in fractal domains
M. Gabbard, Discretization of the Koch Snowflake Domain with Boundary and Interior Energies
M.V. Marchi, On the dimension of the Sierpinski gasket in l2
U. Mosco and M.A. Vivaldi, On the external approximation of Sobolev spaces by M-convergence
A. Rozanova-Pierrat, Generalization of Rellich-Kondrachov theorem and trace compacteness for fractal boundaries
C. Alberini and S. Finzi Vita, A numerical approach to a nonlinear diffusion model for self-organised criticality phenomena
M. Cefalo et al., Approximation of 3D Stokes flows in fractal domains
S. Fragapane, ∞-Laplacian obstacle problems in fractal domains
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edited by Takashi Suzuki, Clair Poignard, Mark Chaplain, Vito Quaranta
出版情報: Singapore : Springer Nature Singapore : Imprint: Springer, 2021
シリーズ名: Springer Proceedings in Mathematics & Statistics ; 370
オンライン: https://doi.org/10.1007/978-981-16-4866-3
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PART 1: Mathematical Modeling: D. Guan, X. Luo, and H. Gao, Constitutive Modelling of Soft Biological Tissue from Ex Vivo to In Vivo: Myocardium as an Example
T. Colin, T. Michel, and C. Poignard, Mathematical Modeling of Gastro-intestinal Metastasis Resistance to Tyrosine Kinase Inhibitors
Y. Tanaka and T. Yasugi, Mathematical Modeling and Experimental Verification of the Proneural Wave
D. Kumakura and S. Nakaoka, Exploring Similarity between Embedding Dimension of Time-series Data and Flows of an Ecological Population Model
T. Hayashi, Mathematical Modeling for Angiogenesis
S. Collin, Corridore and C. Poignard, Floating Potential Boundary Condition in Smooth Domains in an Electroporation Context
N. L. Othman and T. Suzuki, Free Boundary Problem of Cell Deformation and Invasion
L. Preziosi and M. Scianna, Multi-level Mathematical Models for Cell Migration in Confined Environments
S. Magi, Mathematical Modeling of Cancer Signaling Addressing Tumor Heterogeneity
N. Sfakianakis and Mark A.J. Chaplain, Mathematical Modelling of Cancer Invasion: A Review
T. Williams, A. Wilson, and N. Sfakianakis, The First Step towards the Mathematical Understanding of the Role of Matrix Metalloproteinase-8 in Cancer Invasion
PART II: Biological Prediction: T. Ito, T. Suzuki, and Y. Murakami, Mathematical Modeling of the Dimerization of EGFR and ErbB3 in Lung Adenocarcinoma
H. Kubota, Selective Regulation of the Insulin-Akt Pathway by Simultaneous Processing of Blood Insulin Pattern in the Liver
D. Oikawa, N. Hatanaka, T. Suzuki, and F. Tokunaga, Mathematical Simulation of Linear Ubiquitination in T Cell Receptor-mediated NF-κB Activation Pathway
Y. Ito, D. Minerva, S. Tasaki, M. Yoshida, T. Suzuki, and A. Goto, Time Changes in the VEGF-A Concentration Gradient Lead Neovasculature to Engage in Stair-like Growth
N. Hatanaka, M. Futakuchi, and T. Suzuki, Mathematical Modeling of Tumor Malignancy in Bone Microenvironment
M. Yamamoto and Jun-ichiro Inoue, Signaling Networks Involved in the Malignant Transformation of Breast Cancer
PART III: Data Science: R. Morishita, H. Takahashi, and T. Sawasaki, Cell-free Based Protein Array Technology
Y. Nojima and Y. Takeda, Omics Data Analysis Tools for Biomarker Discovery and the Tutorial
M. Oyama and H. Kozuka-Hata, Integrative Network Analysis of Cancer Cell Signaling by High-resolution Proteomics
N. Nakamura and R. Yamada, Distance-matrix-based Extraction of Motility Features from Functionally Heterogeneous Cell Populations
S. Kawasaki, H. Hayashi, and Y. Tominaga, Data Analytic Study of Genetic Mechanism of Ovarian Carcinoma from Single Cell RNA-seq Data
PART 1: Mathematical Modeling: D. Guan, X. Luo, and H. Gao, Constitutive Modelling of Soft Biological Tissue from Ex Vivo to In Vivo: Myocardium as an Example
T. Colin, T. Michel, and C. Poignard, Mathematical Modeling of Gastro-intestinal Metastasis Resistance to Tyrosine Kinase Inhibitors
Y. Tanaka and T. Yasugi, Mathematical Modeling and Experimental Verification of the Proneural Wave
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edited by Juan Pablo Muszkats, Silvia Alejandra Seminara, María Inés Troparevsky
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名: ICIAM 2019 SEMA SIMAI Springer Series ; 4
オンライン: https://doi.org/10.1007/978-3-030-61713-4
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Fabio, M. et al., Approximate Solutions to Fractional Boundary Value Problems by Wavelet Decomposition Methods
Calderón, L., Wavelet B-splines bases on the interval for solving boundary value problems
La Mura, G. et al, Kalman-Wavelet combined Filtering
Arouxet, M. et al., Using the Wavelet Transform for Time Series Analysis
Muszkats, J. et al., Application of Wavelet Transform to Damage Detection in Brittle Materials via Energy and Entropy Evaluation of Acoustic Emission Signals
Fabio, M. et al., Approximate Solutions to Fractional Boundary Value Problems by Wavelet Decomposition Methods
Calderón, L., Wavelet B-splines bases on the interval for solving boundary value problems
La Mura, G. et al, Kalman-Wavelet combined Filtering
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by George C. Hsiao, Wolfgang L. Wendland
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名: Applied Mathematical Sciences ; 164
オンライン: https://doi.org/10.1007/978-3-030-71127-6
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目次情報: 続きを見る
Introduction
Boundary Integral Equations
Representation Formulae
Sobolev Spaces
Variational Formulations
Electromagnetic Fields
Introduction to Pseudodifferential Operators
Pseudodifferential Operators as Integral Operators
Pseudodifferential and Boundary Integral Operators
Integral Equations on Recast as Pseudodifferential Equations
Boundary Integral Equations on Curves in R^2. Remarks on Pseudodifferential Operators for Maxwell Equations
Appendix A: Local Coordinates
Appendix B: Vector Field Identities, Integration Formulae
References
Index
Introduction
Boundary Integral Equations
Representation Formulae
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by Guido Gentile
出版情報: Milano : Springer Milan : Imprint: Springer, 2021
シリーズ名: La Matematica per il 3+2 ; 132
オンライン: https://doi.org/10.1007/978-88-470-4012-0
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1 Operatori lineari
2 Equazioni differenziali lineari
3 Equazioni differenziali ordinarie
4 Analisi qualitativa del moto
5 Esempi di analisi qualitativa
6 Sistemi unidimensionali
7 Moto in un campo centrale
8 Moti relativi
9 Vincoli e corpi rigidi
10 Proprietà dei corpi rigidi
1 Operatori lineari
2 Equazioni differenziali lineari
3 Equazioni differenziali ordinarie
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edited by Jan Awrejcewicz
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名: Springer Proceedings in Mathematics & Statistics ; 364
オンライン: https://doi.org/10.1007/978-3-030-77314-4
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On the spinning motion of a disc under the influence a gyrostatic moment (Gamiel)
Suppression of impact oscillations in a railway current collection system with an additional oscillatory system (Nishiyama)
On Qualitative Analysis of Lattice Dynamical System of Two- and Three-Dimensional Biopixels Array: Bifurcations and Transition to Chaos (Martsenyuk)
Response sensitivity of damper-connected adjacent structural systems subjected to fully non-stationary random excitations (Genovese)
Analysis of switching strategies for the optimization of periodic chemical reactions with controlled flow-rate (Zuyev)
Quaternion based free-floating space manipulator dynamics modeling using the dynamically equivalent manipulator approach (Jarzębowska)
Slosh analysis on a full car model with SDRE control and hydraulic damper (Balthazar)
A comparison of the common types of nonlinear energy sinks (Saeed)
Stability of three wheeled narrow vehicle (Weigel-Milleret)
Testing and analysis of vibrations of a tension transmission with a thermally sealed belt (Szymański)
Modeling and experimental tests on motion resistance of double-flange rollers of rubber track systems due to sliding friction between the rollers and guide lugs of rubber tracks (Chołodowski)
Structural dynamic response of the coupling between transmission lines and tower under random excitation (Machado)
Experimental assessment of the test station support structure rigidity by the vibration diagnostics method (Šmeringaiová)
Experimental dynamical analysis of a mechatronic analogy of the human circulatory system (Olejnik)
Robust design of inhibitory neuronal networks displaying rhythmic activity (Taylor)
Nonlinear dynamics of the industrial city's atmospheric ventilation: New differential equations model and chaos (Buyadzhi)
Biomechanical analysis of different foot morphology during standing on a dynamic support surface (Shu)
Comparison of various fractional order controllers on a poorly damped system (Birs)
Asymptotic analysis of submerged spring pendulum motion in liquid (Amer)
Parametric identification of non linear structures using Particle Swarm Optimization based on power flow balance criteria (Rajan)
Vibration and buckling of laminated plates of complex form under in-plane uniform and non-uniform loading (Linnik)
Dynamical systems and stability in fractional solid mechanics (Beda)
Stability of coupled systems of stochastic Cohen-Grossberg neural networks with time delays, impulses and Markovian switching (Tojtovska)
Stability of steady states with regular or chaotic behaviour in time (Mikhlin)
Modelling of torsional vibrations in a motorcycle steering system (Dębowski)
Free vibration frequencies of simply supported bars with variable cross section (Szlachetka)
On dynamics of a rigid block on visco-elastic foundation (Garziera)
On the spinning motion of a disc under the influence a gyrostatic moment (Gamiel)
Suppression of impact oscillations in a railway current collection system with an additional oscillatory system (Nishiyama)
On Qualitative Analysis of Lattice Dynamical System of Two- and Three-Dimensional Biopixels Array: Bifurcations and Transition to Chaos (Martsenyuk)
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by Andrea Manzoni, Alfio Quarteroni, Sandro Salsa
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名: Applied Mathematical Sciences ; 207
オンライン: https://doi.org/10.1007/978-3-030-77226-0
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目次情報: 続きを見る
1 Introduction: Representative Examples, Mathematical Structure
Part I A Preview on Optimization and Control in Finite Dimensions
2 Prelude on Optimization: Finite Dimension Spaces
3 Algorithms for Numerical Optimization
4 Prelude on Control: The Case of Algebraic and ODE Systems
Part II Linear-Quadratic Optimal Control Problems
5 Quadratic control problems governed by linear elliptic PDEs
6 Numerical Approximation of Linear-Quadratic OCPs
7 Quadratic Control Problems Governed by Linear Evolution PDEs
8 Numerical Approximation of Quadratic OCPs Governed by Linear Evolution PDEs
Part III More general PDE-constrained optimization problems
9 A Mathematical Framework for Nonlinear OCPs
10 Advanced Selected Applications
11 Shape Optimization Problems
Appendix A Toolbox of Functional Analysis
Appendix B Toolbox of Numerical Analysis
1 Introduction: Representative Examples, Mathematical Structure
Part I A Preview on Optimization and Control in Finite Dimensions
2 Prelude on Optimization: Finite Dimension Spaces
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by Biswaranjan Behera, Qaiser Jahan
出版情報: Singapore : Springer Nature Singapore : Imprint: Springer, 2021
シリーズ名: Indian Statistical Institute Series ;
オンライン: https://doi.org/10.1007/978-981-16-7881-3
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Local Fields
Multiresolution Analysis on Local Fields
Affine, Quasi-Affine and Co-Affine Frames
Characterizations in Wavelet Analysis
Biorthogonal Wavelets
Wavelet Packets and Frame Packets
Wavelets as Unconditional Bases
Shift-Invariant Spaces and Wavelets
Local Fields
Multiresolution Analysis on Local Fields
Affine, Quasi-Affine and Co-Affine Frames
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edited by María Isabel Asensio, Albert Oliver, José Sarrate
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名: ICIAM 2019 SEMA SIMAI Springer Series ; 6
オンライン: https://doi.org/10.1007/978-3-030-61795-0
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Asensio, M.I. et al., PhyFire: an online GIS-integrated wildfire spread simulation tool based on a semiphysical model
Egorova, V.N. et al., Physical parametrisation of fire-spotting for operational wildfire simulators
Suárez Molina, D. and Suárez González, J.C., Wind shear forecast in GCLP and GCTS airports
Costa-Solé, A. et al., One-phase and two-phase flow simulation using high-order HDG and high-order diagonally implicit time integration schemes
Asensio, M.I. et al., PhyFire: an online GIS-integrated wildfire spread simulation tool based on a semiphysical model
Egorova, V.N. et al., Physical parametrisation of fire-spotting for operational wildfire simulators
Suárez Molina, D. and Suárez González, J.C., Wind shear forecast in GCLP and GCTS airports
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by Siegfried Carl, Vy Khoi Le
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名: Springer Monographs in Mathematics ;
オンライン: https://doi.org/10.1007/978-3-030-65165-7
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edited by Concepción Muriel, Carmen Pérez-Martinez
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名: ICIAM 2019 SEMA SIMAI Springer Series ; 9
オンライン: https://doi.org/10.1007/978-3-030-61875-9
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Numerical Simulation: J. Alonso, J. et al., The upwelling of the Colombian Caribbean Coasts: remote sensing, morphology and influence on the Lake Maracaibo
J. Coronil, D. et al., Is it possible the use of discontinuous shapes in hydrodynamics?
Control Theory: García-Gutiérrez, J.J et al., Stabilization of third order switched linear systems via invariant set
Pérez, C. et al., Control of second-order switched systems with application to DC-DC converters
Differential Equations: Mendoza, J. et al., Symbolic computation algorithms for second-order ODEs by using two λ-symmetries
Ruiz, A. and Muriel, C., Systems of vector fields for the integration of ordinary differential equations
Numerical Simulation: J. Alonso, J. et al., The upwelling of the Colombian Caribbean Coasts: remote sensing, morphology and influence on the Lake Maracaibo
J. Coronil, D. et al., Is it possible the use of discontinuous shapes in hydrodynamics?
Control Theory: García-Gutiérrez, J.J et al., Stabilization of third order switched linear systems via invariant set
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by Svetlin G. Georgiev
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
オンライン: https://doi.org/10.1007/978-3-030-76132-5
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1. Calculus of Fuzzy Functions
2. First Order Fuzzy Dynamic Equations
3. Second Order Fuzzy Dynamic Equations
4. Functional Fuzzy Dynamic Equations
5. Impulsive Fuzzy Dynamic Equations
6. The Lebesgue Integration. Lp Spaces. Sobolev spaces
7. First Order Dynamic Inclusions
8. Second Order Dynamic Inclusions
9. Boundary Value Problems for First Order Impulsive Dynamic Inclusions
10. Controllability, Bang-Bang Principle
11. Linear Time-Optimal Control
12. The Pontryagin Maximum Principle
13. Dynamic Programming
14. Weak Solutions and Optimal Control Problems for Some Classes Linear First Order Dynamic Systems
15. Nonlinear Dynamic Equations and Optimal Control Problems
16 Nonlinear Integro-Dynamic Equations and Optimal Control Problems
Appendix: Fuzzy Sets
Appendix: Set-Valued Maps
Appendix: Alaoglu's Theorem. Krein-Milman Theorem
Appendix: Mazur's Theorem
Index
1. Calculus of Fuzzy Functions
2. First Order Fuzzy Dynamic Equations
3. Second Order Fuzzy Dynamic Equations
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by Svetlin G. Georgiev
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
オンライン: https://doi.org/10.1007/978-3-030-81265-2
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