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1.

電子ブック

EB
by Sergio Benenti
出版情報: New York, NY : Springer Science+Business Media, LLC, 2011
シリーズ名: Universitext ;
オンライン: http://dx.doi.org/10.1007/978-1-4614-1499-5
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2.

電子ブック

EB
edited by Jeffrey C. Lagarias
出版情報: New York, NY : Springer Science+Business Media, LLC, 2011
オンライン: http://dx.doi.org/10.1007/978-1-4614-1129-1
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3.

電子ブック

EB
by Antonio Galbis, Manuel Maestre
出版情報: Boston, MA : Springer US, 2012
シリーズ名: Universitext ;
オンライン: http://dx.doi.org/10.1007/978-1-4614-2200-6
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4.

電子ブック

EB
by Marius Ghergu, Vicenţiu D. Rӑdulescu
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2012
シリーズ名: Springer Monographs in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-3-642-22664-9
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5.

電子ブック

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by Giovambattista Amendola, Mauro Fabrizio, John Murrough Golden
出版情報: Boston, MA : Springer Science+Business Media, LLC, 2012
オンライン: http://dx.doi.org/10.1007/978-1-4614-1692-0
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6.

電子ブック

EB
edited by Bourama Toni, Keith Williamson, Nasser Ghariban, Dawit Haile, Zhifu Xie
出版情報: New York, NY : Springer New York : Imprint: Springer, 2012
シリーズ名: Springer Proceedings in Mathematics & Statistics ; 24
オンライン: http://dx.doi.org/10.1007/978-1-4614-4559-3
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Central Configuration of the N-Body Problem and Spacecraft Orbital Design, Dr. Zhifu Xie
A Note on Fractional Calculus and some Applications. Dr. Gaston N’Guerekata
A note on Non-Autonomous Systems of Second-Order Differential Equations, Dr. Toka Diagana
How the Talmud divides an Estate among Creditors, Dr. Stephen Schecter
On the non-uniqueness of the decomposition of weighted pseudo-almost periodic functions. Dr. Gaston N’Guerekata.-Note on the almost periodic Beverton-Holt equation. Paul Bezandry
Piecewise-defined Difference Equations: Open Problem, Dr. Candace Kent
Mathematics Behind Microstructures, Dr. Daniel Vasiliu
Tool Support for Efficient Programming of Graphics Processing Units, Dr. Kostadin Damevski
Association Studies of Racial Disparities in Cancer Survivability, Dr. Lisa Walls and Dr. Weidong Mao
Perfect Hexagons, Elementary Triangle and the Center of Cubic Curve. –Dr. Raymond Fletcher
Central Configuration of the N-Body Problem and Spacecraft Orbital Design, Dr. Zhifu Xie
A Note on Fractional Calculus and some Applications. Dr. Gaston N’Guerekata
A note on Non-Autonomous Systems of Second-Order Differential Equations, Dr. Toka Diagana
7.

電子ブック

EB
by Peregrina Quintela, Ana Belén Fernández, Adela Martínez, Guadalupe Parente, María Teresa Sánchez
出版情報: Milano : Springer Milan : Imprint: Springer, 2012
シリーズ名: Sxi — Springer per l’Innovazione / Sxi — Springer for Innovation ; 1
オンライン: http://dx.doi.org/10.1007/978-88-470-2406-9
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目次情報:
1. Introduction
2. i-MATH Map of Demand for Mathematical Technology (TransMATH Demand Map)
3. i-MATH Map of Supply of Mathematical Technology (TransMATH Supply Map)
1. Introduction
2. i-MATH Map of Demand for Mathematical Technology (TransMATH Demand Map)
3. i-MATH Map of Supply of Mathematical Technology (TransMATH Supply Map)
8.

電子ブック

EB
by P.V. Ananda Mohan
出版情報: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2013
シリーズ名: Modeling and Simulation in Science, Engineering and Technology ;
オンライン: http://dx.doi.org/10.1007/978-0-8176-8358-0
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I. Introduction
II. Active RC filters
III. OTA-C filters
IV. SC filters
V. Practical designs of VLSI analog filters
Appendix A
Appendix B.
I. Introduction
II. Active RC filters
III. OTA-C filters
9.

電子ブック

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by Ram P. Kanwal
出版情報: New York, NY : Springer New York : Imprint: Birkhäuser, 2013
シリーズ名: Modern Birkhäuser Classics ;
オンライン: http://dx.doi.org/10.1007/978-1-4614-6012-1
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Introduction
Integral Equations with Separable Kernels
Method Of Successive Approximations
Classical Fredholm Theory.- Applications of Ordinary Differential Equations.- Applications of Partial Differential Equations
Symmetric Kernels
Singular Integral Equations
Integral Transformation Methods
Applications to Mixed Boundary Value Problems
Integral Equations Perturbation Methods
Appendix
Bibliography
Index
Introduction
Integral Equations with Separable Kernels
Method Of Successive Approximations
10.

電子ブック

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by Neal Madras, Gordon Slade
出版情報: New York, NY : Springer New York : Imprint: Birkhäuser, 2013
シリーズ名: Modern Birkhäuser Classics ;
オンライン: http://dx.doi.org/10.1007/978-1-4614-6025-1
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Preface.-  Introduction
Scaling, polymers and spins
Some combinatorial bounds
Decay of the two-point function
The lace expansion
Above four dimensions
Pattern theorems
Polygons, slabs, bridges and knots
Analysis of Monte Carlo methods
Related Topics
Random walk
Proof of the renewal theorem
Tables of exact enumerations
Bibliography
Notation
Index.
Preface.-  Introduction
Scaling, polymers and spins
Some combinatorial bounds
11.

電子ブック

EB
by Bjorn Birnir
出版情報: New York, NY : Springer New York : Imprint: Springer, 2013
シリーズ名: SpringerBriefs in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-1-4614-6262-0
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1.The Mathematical Formulation of Fully-Developed Turbulence
2.Probability and the Statistical Theory of Turbulence
3.The Invariant Measure and the Probability Density Function
4. Existence Theory of Swirling Flow
The Bound for a Swirling Flow
Detailed estimates of S2 and S3
The Generalized Hyperbolic Distributions
References
1.The Mathematical Formulation of Fully-Developed Turbulence
2.Probability and the Statistical Theory of Turbulence
3.The Invariant Measure and the Probability Density Function
12.

電子ブック

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by Matteo Colangeli
出版情報: New York, NY : Springer New York : Imprint: Springer, 2013
シリーズ名: SpringerBriefs in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-1-4614-6306-1
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1. Introduction
2. From the Phase Space to the Boltzmann Equation
3. Methods of Reduced Description
4. Hydrodynamic Spectrum of Simple Fluids
5. Hydrodynamic Fluctuations from the Boltzmann Equation
6. 13 Moment Grad System
7. Conclusions
References.
1. Introduction
2. From the Phase Space to the Boltzmann Equation
3. Methods of Reduced Description
13.

電子ブック

EB
edited by Bourama Toni
出版情報: New York, NY : Springer New York : Imprint: Springer, 2013
シリーズ名: Springer Proceedings in Mathematics & Statistics ; 37
オンライン: http://dx.doi.org/10.1007/978-1-4614-6345-0
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An Overview of Durability and Damage Tolerance Methodology at NASA Langley Research Center, Jonathan Ransom, Edward Glaessgen, James Ratcliffe
On the -convergence Theory and its Application to Block Copolymer Morphology, Xiaofeng Ren
‘Rainbows’ in homogeneous and radially inhomogeneous spheres: connections with ray, wave and potential scattering theory, John Adam
Understanding the Dynamics of Collision and near-collision motion in the N-body problem, Lennard Bakker
Absolute Stability and Conditional Stability in General Delayed Differential Equations, Junping Shi
Existence of Antiperiodic solutions to semilinear evolution equations in intermediate Banach Spaces, Gaston N’Guerekata, Gisele Mophou
Signal, Image Processing and Machine Learning; The Key to Complex Problems in Medicine and Biology, Masha Zahery, Kayvan Najarian
Real-Time Noise Cancellation using Wavelet Transforms, Eshan Sheybani
Null Controllability of the heat equation with two constraints on the control: application to a discriminating sentinel with given sensitivity, Ousseynou Nakoulima, Sadou Tao
A Galerkin Method Solution of Heat Transfer Problems in Closed Channels: Fluid Flow Analysis, Nasser Ghariban
Optimal Control for Distributed Linear Systems subjected to Null-controllability with constraints on the state, Michelle Mercan
Almost and Pseudo-almost Limit Cycles with Applications to quasiperiodic Solitary Waves, Bourama Toni, Melissa Watts
On Almost periodic Stochastic Difference Equations, Paul Bezandry
An Overview of Durability and Damage Tolerance Methodology at NASA Langley Research Center, Jonathan Ransom, Edward Glaessgen, James Ratcliffe
On the -convergence Theory and its Application to Block Copolymer Morphology, Xiaofeng Ren
‘Rainbows’ in homogeneous and radially inhomogeneous spheres: connections with ray, wave and potential scattering theory, John Adam
14.

電子ブック

EB
by Brian C. Hall
出版情報: New York, NY : Springer New York : Imprint: Springer, 2013
シリーズ名: Graduate Texts in Mathematics ; 267
オンライン: http://dx.doi.org/10.1007/978-1-4614-7116-5
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1 The Experimental Origins of Quantum Mechanics
2 A First Approach to Classical Mechanics
3 A First Approach to Quantum Mechanics
4 The Free Schrödinger Equation
5 A Particle in a Square Well
6 Perspectives on the Spectral Theorem
7 The Spectral Theorem for Bounded Self-Adjoint Operators: Statements
8 The Spectral Theorem for Bounded Sef-Adjoint Operators: Proofs
9 Unbounded Self-Adjoint Operators
10 The Spectral Theorem for Unbounded Self-Adjoint Operators
11 The Harmonic Oscillator
12 The Uncertainty Principle
13 Quantization Schemes for Euclidean Space
14 The Stone–von Neumann Theorem
15 The WKB Approximation
16 Lie Groups, Lie Algebras, and Representations
17 Angular Momentum and Spin
18 Radial Potentials and the Hydrogen Atom
19 Systems and Subsystems, Multiple Particles
V Advanced Topics in Classical and Quantum Mechanics
20 The Path-Integral Formulation of Quantum Mechanics
21 Hamiltonian Mechanics on Manifolds
22 Geometric Quantization on Euclidean Space
23 Geometric Quantization on Manifolds
A Review of Basic Material
References. - Index
1 The Experimental Origins of Quantum Mechanics
2 A First Approach to Classical Mechanics
3 A First Approach to Quantum Mechanics
15.

電子ブック

EB
edited by Michael Reissig, Michael Ruzhansky
出版情報: Heidelberg : Springer International Publishing : Imprint: Springer, 2013
シリーズ名: Springer Proceedings in Mathematics & Statistics ; 44
オンライン: http://dx.doi.org/10.1007/978-3-319-00125-8
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Preface
Global Existence and Energy Decay of Solutions for a Nondissipative Wave Equation with a Time-Varying Delay Term
Non-uniqueness and uniqueness in the Cauchy problem of elliptic and backward-parabolic equations
On internal regularity of solutions to the initial value problem for the Zakharov–Kuznetsov equation
Singular semilinear elliptic equations with subquadratic gradient terms
On the parabolic regime of a hyperbolic equation with weak dissipation: the coercive case
H¥ well-posedness for degenerate p-evolution models of higher order with time-dependent coefficients
On the global solvability for semilinear wave equations with smooth time dependent propagation speeds
Filippov Solutions to Systems of Ordinary Differential Equations with Delta Function Terms as Summands
Resolvent estimates and scattering problems for Schr¨odinger, Klein-Gordon and wave equations
On an Optimal Control Problem for the Wave Equation in One Space Dimension Controlled by Third Type Boundary Data
Critical exponent for the semilinear wave equation with time or space dependent damping
A note on a class of conservative, well-posed linear control systems
Recent progress in smoothing estimates for evolution equations
Differentiability of Inverse Operators
Quasi-symmetrizer and hyperbolic equations
Solution of the Cauchy problem for generalized Euler-Poisson-Darboux equation by the method of fractional integrals
Global Solutions of Semilinear System of Klein-Gordon Equations in de Sitter Spacetime
Preface
Global Existence and Energy Decay of Solutions for a Nondissipative Wave Equation with a Time-Varying Delay Term
Non-uniqueness and uniqueness in the Cauchy problem of elliptic and backward-parabolic equations
16.

電子ブック

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by Felix V. Dolzhansky
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013
シリーズ名: Encyclopaedia of Mathematical Sciences ; 103
オンライン: http://dx.doi.org/10.1007/978-3-642-31034-8
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Preface
Part I Main Principles and Laws of Motion of an Ideal Fluid
Part II Quasi-geostrophic Approximations of the Equations of Motion of Rotating Barotropic and Baroclinic Fluids
Part III Hydrodynamic Stability and Atmospheric Dynamics
Part IV Friction in Geophysical Boundary Layers and Their Models
Part V Mechanical Prototypes of Equations of Motion of a Rotating Stratified Fluid and a Toy Model of Atmospheric Circulation
Part VI Appendices
Index
Preface
Part I Main Principles and Laws of Motion of an Ideal Fluid
Part II Quasi-geostrophic Approximations of the Equations of Motion of Rotating Barotropic and Baroclinic Fluids
17.

電子ブック

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by Anatoliy Malyarenko
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013
シリーズ名: Probability and Its Applications ;
オンライン: http://dx.doi.org/10.1007/978-3-642-33406-1
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1.Introduction
2.Spectral Expansions
3.L2 Theory of Invariant Random Fields
4.Sample Path Properties of Gaussian Invariant Random Fields
5.Applications
A.Mathematical Background
References
Index
1.Introduction
2.Spectral Expansions
3.L2 Theory of Invariant Random Fields
18.

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by Eckhard Meinrenken
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013
シリーズ名: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics ; 58
オンライン: http://dx.doi.org/10.1007/978-3-642-36216-3
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Preface
Conventions
List of Symbols
1 Symmetric bilinear forms
2 Clifford algebras
3 The spin representation
4 Covariant and contravariant spinors
5 Enveloping algebras
6 Weil algebras
7 Quantum Weil algebras
8 Applications to reductive Lie algebras
9 D(g; k) as a geometric Dirac operator
10 The Hopf–Koszul–Samelson Theorem
11 The Clifford algebra of a reductive Lie algebra
A Graded and filtered super spaces
B Reductive Lie algebras
C Background on Lie groups
References
Index
Preface
Conventions
List of Symbols
19.

電子ブック

EB
by Vladimir I. Arnold ; edited by Ilia Itenberg, Viatcheslav Kharlamov, Eugenii I. Shustin
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013
シリーズ名: UNITEXT ; 66
オンライン: http://dx.doi.org/10.1007/978-3-642-36243-9
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Publisher's Foreword
Editors' Foreword
Introduction
2 Geometry of Conic Sections
3 The Physics of Conic Sections and Ellipsoids
4 Projective Geometry
5 Complex Algebraic Curves
6 A Problem for School Pupils
A Into How Many Parts do n Lines Divide the Plane?- Editors' Comments on Gudkov's Conjecture
Notes
Publisher's Foreword
Editors' Foreword
Introduction
20.

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edited by Clint Dawson, Margot Gerritsen
出版情報: New York, NY : Springer New York : Imprint: Springer, 2013
シリーズ名: The IMA Volumes in Mathematics and its Applications ; 156
オンライン: http://dx.doi.org/10.1007/978-1-4614-7434-0
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Physical and Computational Issues in the Numerical Modeling of Ocean Circulation, R.L. Higdon
Modeling Hazardous, Free-Surface Geophysical Flows with Depth-Averaged Hyperbolic Systems and Adaptive Numerical Methods, D.L. George
Real-Time Forecasting and Visualization of Hurricane Waves and Storm Surge using SWAN+ADCIRC and FigureGen, J.C. Dietrich, C.N. Dawson, J.M. Proft, M.T. Howard, G. Wells, J.G. Fleming, R.A. Luettich, Jr., J.J. Westerink, Z. Cobell, M. Vitse, H. Lander, B.O. Blanton, C.M. Szpilka, J.H. Atkinson
Methane in Surbsurface: Mathematical  Modeling and Computational Challenges, M. Peszynska
Fast Algorithms for Bayesian Inversion, S. Ambikasaran, A. K. Saibaba, E.F. Darve and P.K. Kitanidis
Modeling Spatial and Structural Uncertainty in the Subsurface , M. Gerritsen and J. Caers
Physical and Computational Issues in the Numerical Modeling of Ocean Circulation, R.L. Higdon
Modeling Hazardous, Free-Surface Geophysical Flows with Depth-Averaged Hyperbolic Systems and Adaptive Numerical Methods, D.L. George
Real-Time Forecasting and Visualization of Hurricane Waves and Storm Surge using SWAN+ADCIRC and FigureGen, J.C. Dietrich, C.N. Dawson, J.M. Proft, M.T. Howard, G. Wells, J.G. Fleming, R.A. Luettich, Jr., J.J. Westerink, Z. Cobell, M. Vitse, H. Lander, B.O. Blanton, C.M. Szpilka, J.H. Atkinson
21.

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edited by Larisa Beilina
出版情報: New York, NY : Springer New York : Imprint: Springer, 2013
シリーズ名: Springer Proceedings in Mathematics & Statistics ; 48
オンライン: http://dx.doi.org/10.1007/978-1-4614-7816-4
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Theoretical and Numerical Study of Iteratively Truncated Newton's Algorithm, Anatoly B. Bakushinsky, Alexandra B. Smirnova, and Hui Liu
Approximate Global Convergence in Imaging of Land Mines from Backscattered Data, L. Beilina and M. V. Klibanov
Time-adaptive FEM for Distributed Parameter Identification in Biological Models, L. Beilina and I.Gainova
Adaptive finite element method in reconstruction of dielectrics from backscattered data, L. Beilina, M. P. Hatlo Andresen, H. E. Krogstad
A Posteriori Error Estimates for Fredholm Integral Equations of the First Kind, N. Koshev and L. Beilina
Inverse Problems in Geomechanics: Diagnostics and Prediction of the State of Rock Masses with Estimating Their Properties, L. A. Nazarova and L.A. Nazarov
 A Globally Convergent Numerical Method for Coefficient Inverse Problems with Time-Dependent Data, Aubrey Rhoden, Natee Patong, Yueming Liu, Jianzhong Su and Hanli Liu
Adaptive FEM with relaxation for a hyperbolic coefficient inverse problem, L. Beilina and M. V. Klibanov
Error Estimation in Ill-posed Problems in Special Cases, A. G. Yagola, Y. M. Korolev
Stable numerical methods of approaching quantum mechanical molecular force fields to experimental data, G. Kuramshina, I. Kochikov and A. Yagola
On the Alternating Method for Cauchy Problems and its Finite Element Discretisation, Thouraya N. Baranger B. Tomas Johansson and Romain Rischette
Theoretical and Numerical Study of Iteratively Truncated Newton's Algorithm, Anatoly B. Bakushinsky, Alexandra B. Smirnova, and Hui Liu
Approximate Global Convergence in Imaging of Land Mines from Backscattered Data, L. Beilina and M. V. Klibanov
Time-adaptive FEM for Distributed Parameter Identification in Biological Models, L. Beilina and I.Gainova
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by C.B. Wang
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013
オンライン: http://dx.doi.org/10.1007/978-3-642-38565-0
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Introduction
Densities in Hermitian Matrix Models
Bifurcation Transitions and Expansions
Large-N Transitions and Critical Phenomena
Densities in Unitary Matrix Models
Transitions in the Unitary Matrix Models
Marcenko-Pastur Distribution and McKay’s Law
Introduction
Densities in Hermitian Matrix Models
Bifurcation Transitions and Expansions
23.

電子ブック

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edited by Frédéric Bourgeois, Vincent Colin, András Stipsicz
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名: Bolyai Society Mathematical Studies ; 26
オンライン: http://dx.doi.org/10.1007/978-3-319-02036-5
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Mathematical contributions from V.I. Arnold
Topological methods in 3-dimensional contact geometry
A short introduction to Fukaya categories
Open books and Lefschetz pencils in contact geometry
Introduction to contact topology in higher dimensions
Bordered Heegaard Floer homology
Stein structures: existence and flexibility
Embedded contact homology, cobordism maps, and applications
Knot contact homology and applications
Mathematical contributions from V.I. Arnold
Topological methods in 3-dimensional contact geometry
A short introduction to Fukaya categories
24.

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by Vladimir I. Arnold ; edited by Alexander B. Givental, Boris A. Khesin, Alexander N. Varchenko, Victor A. Vassiliev, Oleg Ya. Viro
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2014
シリーズ名: Vladimir I. Arnold - Collected Works ; 2
オンライン: http://dx.doi.org/10.1007/978-3-642-31031-7
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1 Variational principle for three-dimensional steady-state flows of an ideal fluid
2 On the Riemann curvature of diffeomorphism groups
3 Sur la topologie des écoulements stationnaires des fluides parfaits (in French)
4 Conditions for non-linear stability of stationary plane curvilinear flows of an ideal fluid
5 On the topology of three-dimensional steady flows of an ideal fluid
6 On an a priori estimate in the theory of hydrodynamical stability
7 On the differential geometry of infinite-dimensional Lie groups and its application to the hydrodynamics of perfect fluids
8 On a variational principle for the steady flows of perfect fluids and its application to problems of non-linear stability
9 Characteristic class entering in quantization conditions
10 A note on Weierstrass auxiliary theorem
11 A letter to the editors (in Russian)
12 The stability problem and ergodic properties for classical dynamical systems
13 Remark on the branching of hyperelliptic integrals as functions of the parameters
14 Singularities of smooth mappings
15 Braids of algebraic functions and the cohomology of swallowtails
16 Hamiltonian nature of the Euler equations in the dynamics of a rigid body and of an ideal fluid
17 Remarks on singularities of finite codimension in complex dynamical systems
18 One-dimensional cohomologies of the Lie algebras of non-divergence vector fields, and rotation numbers of dynamic systems
19 The cohomology ring of the colored braid group
20 Trivial problems
21 Cohomology classes of algebraic functions invariant under Tschirnhausen transformations
22 Local Problems of Analysis
23 Algebraic unsolvability of the problem of stability and the problem of the topological classification of the singular points of analytic systems of differential equations (in Russian)
24 On some topological invariants of algebraic functions
25 Topological invariants of algebraic functions II
26 Algebraic unsolvability of the problem of Ljapunov stability and the problem of the topological classification of singular points of an analytic system of differential equations
27 On matrices depending on parameters
28 Distribution of ovals of the real plane of algebraic curves of involutions of four-dimensional smooth manifolds and the arithmetic of integer valued quadratic forms
29 Versal families and bifurcations of differential equations (in Russian)
30 Notes on the three-dimensional flow pattern of a perfect fluid in the presence of a small perturbation of the initial velocity field
31 Lectures on bifurcations in versal families
32 The topology of real algebraic curves (in Russian)
33 The asymptotic Hopf invariant and its applications
34 Magnetic field in a moving conducting fluid
35 A magnetic field in a stationary flow with stretching in a Riemannian space
36 The large-scale structure of the universe I. General properties. One- and two-dimensional models
37 Elements of the large-scale structure of the universe
38 Some remarks on the antidynamo theorem
39 Steady-state magnetic field in a periodic flow
40 Evolution of a magnetic field under the action of transfer and diffusion
41 The growth of a magnetic field in a three-dimensional steady incompressible fluid
42 Evolution of a magnetic field under the action of drift and diffusion (in Russian)
43 Exponential scattering of trajectories and its hydrodynamical applications
44 Kolmogorov's hydrodynamic attractors
45 Topological methods in hydrodynamics
46 Problemes mathématiques de l'hydrodynamique et de la magnétohydrodynamique (in English)
47 Translator's Preface to J. Milnor's book "Morse Theory"
48 Henri Poincaré: Selected Works in Three Volumes. Vol. I New Methods of Celestial Mechanics - Preface. From the editorial board. Comments
49 Comments on the paper "On a geometric theorem" by Henri Poincaré
1 Variational principle for three-dimensional steady-state flows of an ideal fluid
2 On the Riemann curvature of diffeomorphism groups
3 Sur la topologie des écoulements stationnaires des fluides parfaits (in French)
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by Lourenço Beirão Veiga, Konstantin Lipnikov, Gianmarco Manzini
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名: MS&A - Modeling, Simulation and Applications ; 11
オンライン: http://dx.doi.org/10.1007/978-3-319-02663-3
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1 Model elliptic problems
2 Foundations of mimetic finite difference method
3 Mimetic inner products and reconstruction operators
4 Mimetic discretization of bilinear forms
5 The diffusion problem in mixed form
6 The diffusion problem in primal form
7 Maxwells equations. 8. The Stokes problem. 9 Elasticity and plates
10 Other linear and nonlinear mimetic schemes
11 Analysis of parameters and maximum principles
12 Diffusion problem on generalized polyhedral meshes
1 Model elliptic problems
2 Foundations of mimetic finite difference method
3 Mimetic inner products and reconstruction operators
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by Alfredo Bermúdez, Dolores Gómez, Pilar Salgado
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名: UNITEXT ; 74
オンライン: http://dx.doi.org/10.1007/978-3-319-02949-8
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1 The harmonic oscillator
2 The Series RLC Circuit
3 Linear electrical circuits
4 Maxwell’s equations in free space
5 Some solutions of Maxwell’s equations in free space
6 Maxwell’s equations in material regions
7 Electrostatics
8 Direct current
9 Magnetostatics
10 The eddy currents model
11 An introduction to nonlinear magnetics. Hysteresis
12 Electrostatics with MaxFEM
13 Direct current with MaxFEM
14 Magnetostatics with MaxFEM
15 Eddy currents with MaxFEM
16 RLC circuits with MaxFEM
A Elements of graph theory
B Vector Calculus
C Function spaces for electromagnetism
D Harmonic regime: average values
E Linear nodal and edge finite elements
F Maxwell’s equations in Lagrangian coordinates
1 The harmonic oscillator
2 The Series RLC Circuit
3 Linear electrical circuits
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by Emiliano Cristiani, Benedetto Piccoli, Andrea Tosin
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名: MS&A, Modeling, Simulation and Applications ; 12
オンライン: http://dx.doi.org/10.1007/978-3-319-06620-2
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1 An Introduction to the Modeling of Crowd Dynamics
2 Problems and Simulations
3 Psychological Insights
4 An Overview of the Modeling of Crowd Dynamics
5 Multiscale Modeling by Time-Evolving Measures
6 Basic Theory of Measure-Based Models
7 Evolution in Measure Spaces with Wasserstein Distance
8 Generalizations of the Multiscale Approach
9 Appendices: A Basics of Measure and Probability Theory; B Pseudo-Code for the Multiscale Algorithm
1 An Introduction to the Modeling of Crowd Dynamics
2 Problems and Simulations
3 Psychological Insights
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edited by Ronald Hoppe
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名: Lecture Notes in Computational Science and Engineering ; 101
オンライン: http://dx.doi.org/10.1007/978-3-319-08025-3
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Solution of 2D Contact Shape Optimization Problems
Phase Field Methods for Binary Recovery
Programming with Separable Ellipsoidal Constraints
Adaptive Finite Elements for Optimally Controlled Elliptic Variational Inequalities
Topology Design of Elastic Structures for a Contact Model
Bisection Methods for Mesh Generation
Differentiability of Energy Functionals for Unilateral Problems in Domains
Two-Sided Guaranteed Estimates of the Cost Functional for Optimal Control Problems with Elliptic State Equations
Sensitivity Analysis of Work Functional for Compressible Navier-Stokes Equations
Exact Controllability to Trajectories for Navier-Stokes Equations
Solution of 2D Contact Shape Optimization Problems
Phase Field Methods for Binary Recovery
Programming with Separable Ellipsoidal Constraints
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by Wei Chen
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2014
シリーズ名: Springer Theses, Recognizing Outstanding Ph.D. Research ;
オンライン: http://dx.doi.org/10.1007/978-3-662-43739-1
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Introduction
Discontinuous Explosive Percolation with Multiple Giant Components
Deriving An Underlying Mechanism for Discontinuous Percolation Transitions
Continuous Phase Transitions in Supercritical Explosive Percolation
Unstable Supercritical Discontinuous Percolation Transitions
Algorithm of percolation models
Introduction
Discontinuous Explosive Percolation with Multiple Giant Components
Deriving An Underlying Mechanism for Discontinuous Percolation Transitions
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by Farook Rahaman
出版情報: New Delhi : Springer India : Imprint: Springer, 2014
オンライン: http://dx.doi.org/10.1007/978-81-322-2080-0
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Chapter 1. Pre-Relativity and Galilean Transformation
Chapter 2. Michelson-Morley Experiment and Velocity of Light
Chapter 3. Lorentz Transformations
Chapter 4. Mathematical Properties of Lorentz Transformations
Chapter 5. More Mathematical Properties of Lorentz Transformations
Chapter 6. Geometric Interpretation of Spacetime
Chapter 7. Relativistic Velocity and Acceleration
Chapter 8. Four Dimensional World
Chapter 9. Mass in Relativity
Chapter 10. Relativistic Dynamics
Chapter 11. Photon in Relativity
Chapter 12. Relativistic Lagrangian and Hamiltonian
Chapter 13. Electrodynamics in Relativity
Chapter 14. Relativistic Mechanics of continua
Chapter 1. Pre-Relativity and Galilean Transformation
Chapter 2. Michelson-Morley Experiment and Velocity of Light
Chapter 3. Lorentz Transformations
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edited by Trachette Jackson, Ami Radunskaya
出版情報: New York, NY : Springer New York : Imprint: Springer, 2015
シリーズ名: The IMA Volumes in Mathematics and its Applications ; 158
オンライン: http://dx.doi.org/10.1007/978-1-4939-2782-1
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Anti-Cancer Drug Resistance: A Pre-existing or Emerging Phenomenon?
Modeling Fluid Flow Induced by Bacterial Carpets
Modeling Auto regulation in the Kidney
Modeling Anti-coagulation Therapy
Mathematical Modeling of Evolutionary Diversification
Intermittent Preventative Treatment (IPT) and the Spread of Drug Resistance to Malaria
Stochastic Modeling of the Phototransduction Cascade for Melanopsin
Clustering in Inhibitory Neural Networks with Nearest Neighbor Coupling
Modeling the Dynamics of REM Sleep
Anti-Cancer Drug Resistance: A Pre-existing or Emerging Phenomenon?
Modeling Fluid Flow Induced by Bacterial Carpets
Modeling Auto regulation in the Kidney
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edited by Vladimir V. Mityushev, Michael Ruzhansky
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Springer Proceedings in Mathematics & Statistics ; 116
オンライン: http://dx.doi.org/10.1007/978-3-319-12148-2
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Omer H. Abdelrahman, Erol Gelenbe: Search in Big Networks and Big Data
David Applebaum, Rodrigo Banuelos: Probabilistic Approach to Fractional Integrals and the Hardy‐Littlewood‐Sobolev Inequality
R. V. Craster: Dynamic homogenization
Tadeusz Czachorski: Queueing Models for Performance Evaluation of Computer Networks ‐Transient State Analysis
Tokio Matsuyama, Michael Ruzhansky: Global well‐posedness of the Kirchhoff equation and Kirchhoff systems
Wieslaw L. Nowinski: Brain atlasing: design principles, methods, tools and applications
Grigory Panasenko: Method of asymptotic partial domain decomposition for nonsteady problems: wave equation on a thin structure
Aleksandr Rusakov: The first student of Andrei Nikolaevich Kolmogorov
M. Zhuravkov, L.Drozd, N. Romanova, A. Krupoderov: Mechanical-mathematical modelling of biological tissue behavior
Omer H. Abdelrahman, Erol Gelenbe: Search in Big Networks and Big Data
David Applebaum, Rodrigo Banuelos: Probabilistic Approach to Fractional Integrals and the Hardy‐Littlewood‐Sobolev Inequality
R. V. Craster: Dynamic homogenization
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by Sandro Salsa, Gianmaria Verzini
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: UNITEXT ; 87
オンライン: http://dx.doi.org/10.1007/978-3-319-15416-9
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1 Diffusion
2 The Laplace equation
3 First order equations
4 Waves
5 Functional analysis
6 Variational formulations
7 Appendix A Sturm-Liouville, Legendre and Bessel equations
8 Appendix B Identities
1 Diffusion
2 The Laplace equation
3 First order equations
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by Piermarco Cannarsa, Teresa D'Aprile
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: UNITEXT ; 89
オンライン: http://dx.doi.org/10.1007/978-3-319-17019-0
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1 Part I Measure and Integration
2 Part II Functional Analysis
3 Part III Selected Topics
4 Appendices
5 Index
1 Part I Measure and Integration
2 Part II Functional Analysis
3 Part III Selected Topics
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by Peter Jan Van Leeuwen, Yuan Cheng, Sebastian Reich
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Frontiers in Applied Dynamical Systems: Reviews and Tutorials ; 2
オンライン: http://dx.doi.org/10.1007/978-3-319-18347-3
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by Michel-Marie Deza, Mathieu Dutour Sikirić, Mikhail Ivanovitch Shtogrin
出版情報: New Delhi : Springer India : Imprint: Springer, 2015
シリーズ名: Forum for Interdisciplinary Mathematics ; 1
オンライン: http://dx.doi.org/10.1007/978-81-322-2449-5
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Chapter 1. Introduction: main ZC-notions
Chapter 2. Zigzags of fullerenes and c-disk-fullerenes
Chapter 3. Zigzags and railroads of spheres 3_v and 4_v
Chapter 4. ZC-circuits of 4-regular and self-dual {2,3,4}-spheres
Chapter 5. ZC-circuits of 5- and 6-regular spheres
Chapter 6. Goldberg–Coxeter construction and parametrization
Chapter 7. ZC-circuits of Goldberg–Coxeter construction
Chapter 8. Zigzags of polytopes and complexes
Chapter 1. Introduction: main ZC-notions
Chapter 2. Zigzags of fullerenes and c-disk-fullerenes
Chapter 3. Zigzags and railroads of spheres 3_v and 4_v
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by Pedro J. Torres
出版情報: Paris : Atlantis Press : Imprint: Atlantis Press, 2015
シリーズ名: Atlantis Briefs in Differential Equations ; 1
オンライン: http://dx.doi.org/10.2991/978-94-6239-106-2
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Motion of charged particles in a line
An electrostatically actuated micro-electro-mechanical system
Forced Keplerian-like systems
Particles under a central force field
Bose-Einstein condensates and signal transmission in optical fibers
Electron beam focusing by means of a periodic magnetic field
Point vortex dynamics
Pumping effect in a pipe/tank flow configuration
Radial oscillations of a bubble in a time-periodic pressure field
Radial oscillations of cylindrical and spherical shells
A model for cell volume regulation
Motion of charged particles in a line
An electrostatically actuated micro-electro-mechanical system
Forced Keplerian-like systems
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by Jaume Llibre, Richard Moeckel, Carles Simó
出版情報: Basel : Springer Basel : Imprint: Birkhäuser, 2015
シリーズ名: Advanced Courses in Mathematics - CRM Barcelona ;
オンライン: http://dx.doi.org/10.1007/978-3-0348-0933-7
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1 The Averaging Theory for Computing Periodic Orbits
Introduction: the classical theory
Averaging theory for arbitrary order and dimension
Three applications of Theorem
2 Lectures on Central Configurations
The n-body problem
Symmetries and integrals
Central configurations and self-similar solutions
Matrix equations of motion
Homographic motions of central configurations in Rd
Albouy-Chenciner reduction and relative equilibria in Rd
Homographic motions in Rd
Central configurations as critical points
Collinear central configurations
Morse indices of non-collinear central configurations
Morse theory for CC's and SBC's
Dziobek configurations
Convex Dziobek central configurations
Generic finiteness for Dziobek central configurations
Some open problems
3 Dynamical Properties of Hamiltonian Systems
Introduction
Low dimension
Some theoretical results, their implementation and practical tools
Applications to Celestial Mechanics
1 The Averaging Theory for Computing Periodic Orbits
Introduction: the classical theory
Averaging theory for arbitrary order and dimension
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by Thomas Witelski, Mark Bowen
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Springer Undergraduate Mathematics Series ;
オンライン: http://dx.doi.org/10.1007/978-3-319-23042-9
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Rate equations
Transport equations
Variational principles
Dimensional scaling analysis
Self-similar scaling solutions of differential equations
Perturbation methods
Boundary layer theory
Long-wave asymptotics for PDE problems
Weakly-nonlinear oscillators
Fast/slow dynamical systems
Reduced models for PDE problems
Modelling in applied fluid dynamics
Rate equations
Transport equations
Variational principles
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by Debora Amadori, Laurent Gosse
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: SpringerBriefs in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-3-319-24785-4
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1 Introduction
2 Local and global error estimates
3 Position-dependent scalar balance laws
4 Lyapunov functional for inertial approximations
5 Entropy dissipation and comparison with Lyapunov estimates
6 Conclusion and outlook
1 Introduction
2 Local and global error estimates
3 Position-dependent scalar balance laws
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by Krešimir Veselić
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2011
シリーズ名: Lecture Notes in Mathematics ; 2023
オンライン: http://dx.doi.org/10.1007/978-3-642-21335-9
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by P.R. Kumar, Martin J. Wainwright, Riccardo Zecchina ; edited by Fabio Fagnani, Sophie M. Fosson, Chiara Ravazzi
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Lecture Notes in Mathematics ; 2141
オンライン: http://dx.doi.org/10.1007/978-3-319-16967-5
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edited by Nedjeljka Žagar, Joseph Tribbia
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Mathematics of Planet Earth ; 8
オンライン: https://doi.org/10.1007/978-3-030-60963-4
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3D Normal Mode Functions (NMFs) Of a Global Baroclinic Atmospheric Model
Normal Mode Functions and Initialization
Normal-Mode Functions and Atmospheric Data Assimilation
3D Modal Variability and Energy Transformations On The Sphere
Generalization of Baroclinic Instability and Rossby Wave Saturation Theory
Applications to Predictions And Climate Studies
3D Normal Mode Functions (NMFs) Of a Global Baroclinic Atmospheric Model
Normal Mode Functions and Initialization
Normal-Mode Functions and Atmospheric Data Assimilation
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edited by J. A. Tenreiro Machado, Necati Özdemir, Dumitru Baleanu
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Nonlinear Systems and Complexity ; 31
オンライン: https://doi.org/10.1007/978-3-030-37141-8
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Chapter 1. Monotone iterative technique for non-autonomous semilinear differential equations with non-instantaneous impulses
Chapter 2. An extrapolated Crank Nicholson VMS-POD method for Darcy Brinkman Equations
Chapter 3. Comparison of Exact and Numerical Solutions for the Sharma-Tasso-Olver Equation
Chapter 4. A Linear B–spline Approximation for a Class of Nonlinear Time and Space Fractional Partial Differential Equations
Chapter 5. Escaping from Current Minimizer by Using an Auxiliary Function Smoothed by Bezier Curves
Chapter 6. A modified Laguerre matrix approach for Burger-Fisher type nonlinear equations
Chapter 7. Increasing the Effects of Auxiliary Function by Multiple Extrema in Global Optimization
Chapter 8. A New Approach for the Solution of the Generalized Abel Integral Equation
Chapter 9. NPSOG: A new hybrid method for unconstrained differentiable optimization
Chapter 10. Detection of HIV-1 Protease Cleavage Sites via Hidden Markov Model and Physiochemical Properties of Aminoacids
Chapter 11. A Numerical Approach for Variable Order Fractional Equations
Chapter 12. Evolution of Plane Curves via Lie Symmetry Analysis in the Galilean Plane
Chapter 1. Monotone iterative technique for non-autonomous semilinear differential equations with non-instantaneous impulses
Chapter 2. An extrapolated Crank Nicholson VMS-POD method for Darcy Brinkman Equations
Chapter 3. Comparison of Exact and Numerical Solutions for the Sharma-Tasso-Olver Equation
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edited by Tomáš Bodnár, Giovanni P. Galdi, Šárka Nečasová
出版情報: Cham : Springer International Publishing : Imprint: Birkhäuser, 2020
シリーズ名: Advances in Mathematical Fluid Mechanics ;
オンライン: https://doi.org/10.1007/978-3-030-39639-8
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Primitive Equations for Oceanic and Atmospheric Dynamics
Viscous Compressible Flows under Pressure
Global Well-posedness for Incompressible-Incompressible Two Phase Problem
The Role of Pressure in the Theory of Weak Solutions to the Navier-Stokes Equations
Pressure Dependent Material Coefficients
FE Pressure Stabilizations for Incompressible Flow Problems
Finite-Volume Methods for Navier-Stokes Equations
Primitive Equations for Oceanic and Atmospheric Dynamics
Viscous Compressible Flows under Pressure
Global Well-posedness for Incompressible-Incompressible Two Phase Problem
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edited by Larisa Beilina, Maïtine Bergounioux, Michel Cristofol, Anabela Da Silva, Amelie Litman
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Springer Proceedings in Mathematics & Statistics ; 328
オンライン: https://doi.org/10.1007/978-3-030-48634-1
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Thermoacoustic Applications (Patch et al.)
On the Transport Method for Hybrid Inverse Problems (Chung et al.)
Stable Determination of an Inclusion in a Layered Medium with Special Anisotropy (Di Cristo)
Convergence of stabilized P1 finite element scheme for time harmonic Maxwell’s equations (Asadzadeh et al.)
Regularized Linear Inversion with Randomized Singular Value Decomposition (Ito et al.)
Parameter selection in dynamic contrast-enhanced magnetic resonance tomography (Niinimaki et al.)
Convergence of explicit P1 finite-element solutions to Maxwell’s equations (Beilina et al.)
Reconstructing the Optical Parameters of a Layered Medium with Optical Coherence Elastography (Elbau et al.)
The finite element method and balancing principle for magnetic resonance imaging (Beilina et al.)
Thermoacoustic Applications (Patch et al.)
On the Transport Method for Hybrid Inverse Problems (Chung et al.)
Stable Determination of an Inclusion in a Layered Medium with Special Anisotropy (Di Cristo)
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edited by Serge Dos Santos, Mostafa Maslouhi, Kasso A. Okoudjou
出版情報: Cham : Springer International Publishing : Imprint: Birkhäuser, 2020
シリーズ名: Applied and Numerical Harmonic Analysis ;
オンライン: https://doi.org/10.1007/978-3-030-35202-8
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Part I Mathematical Modeling
The two-sided Gabor Quaternionic Fourier transform and uncertainty principles
Reflected backward SDEs in a convex polyhedron
On the energy decay of a nonhomogeneous hybrid system of elasticity
Part II Advanced Mathematics for Imaging
Advanced ground truth multimodal imaging using Time Reversal (TR) based Nonlinear Elastic Wave Spectroscopy (NEWS): medical imaging trends versus non-destructive testing applications
A geometrically constrained manifold embedding for an extrinsic Gaussian process
Numerical study of SIF for a crack in P265GH steel by XFEM
Part III Computer Sciences and Smart Technologies
Hardware acceleration of SVM training for real-time embedded systems: Overview
Integrating intelligent tutoring system into an adaptive E-Learning process
NDN VS TCP/IP: Which one is the best suitable for connected vehicles?
A new optimization method to Enhance QoS in OLSR protocol
Predictive analysis for diabetes using Big Data classification
Part I Mathematical Modeling
The two-sided Gabor Quaternionic Fourier transform and uncertainty principles
Reflected backward SDEs in a convex polyhedron
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by Daniele Antonio Di Pietro, Jérôme Droniou
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: MS&A, Modeling, Simulation and Applications ; 19
オンライン: https://doi.org/10.1007/978-3-030-37203-3
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Part I: Foundations
1 Setting
2 Basic principles of Hybrid High-Order methods: The Poisson problem
3 Variable di_usion and di_usion–advection–reaction
4 Complements on pure di_usion
5 Variations and comparison with other methods
Part II: Applications to advanced models
6 p-Laplacian and Leray–Lions
7 Linear elasticity
8 Stokes
9 Navier–Stokes
Part III: Appendix
10 Appendix A: Error analysis setting for schemes in fully discrete formulation
11 Appendix B: Implementation
Part I: Foundations
1 Setting
2 Basic principles of Hybrid High-Order methods: The Poisson problem
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edited by Reuven Segev, Marcelo Epstein
出版情報: Cham : Springer International Publishing : Imprint: Birkhäuser, 2020
シリーズ名: Advances in Continuum Mechanics ; 43
オンライン: https://doi.org/10.1007/978-3-030-42683-5
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Part I: Kinematics, Forces, and Stress Theory
Manifolds of Mappings for Continuum Mechanics
Notes on Global Stress and Hyper-Stress Theories
Applications of Algebraic Topology in Elasticity
De Donder Construction for Higher Jets
Part II: Defects, Uniformity, and Homogeneity
Regular and Singular Dislocations
Homogenization of Edge-Dislocations as a Weak Limit of de-Rham Currents
A Kinematics of Defects in Solid Crystals
Limits of Distributed Dislocations in Geometric and Constitutive Paradigms
On the Homogeneity of Non-Uniform Material Bodies
Part I: Kinematics, Forces, and Stress Theory
Manifolds of Mappings for Continuum Mechanics
Notes on Global Stress and Hyper-Stress Theories
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by Marat Akhmet, Mehmet Onur Fen, Ejaily Milad Alejaily
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Nonlinear Systems and Complexity ; 29
オンライン: https://doi.org/10.1007/978-3-030-35854-9
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Chapter 1. Introduction
Chapter 2. The Unpredictable Point and Poincare Chaos
Chapter 3. Unpredictability in Bebutov Dynamics
Chapter 4. Non-linear Unpredictable Perturbations
Chapter 5. Unpredictability in Topological Dynamics
Chapter 6. Unpredictable Solutions of Hyperbolic Linear Equations
Chapter 7. Strongly Unpredictable Solutions
Chapter 8. Li-Yorke Chaos in Hybrid Systems on a Time Scale
Chapter 9. Homoclinic and Heteroclinic Motions in Economic Models
Chapter 10. Global Weather and Climate in the light of El Nino-Southern Oscillation
Chapter 11. Fractals: Dynamics in the Geometry
Chapter 12. Abstract Similarity, Fractals and Chaos
Chapter 1. Introduction
Chapter 2. The Unpredictable Point and Poincare Chaos
Chapter 3. Unpredictability in Bebutov Dynamics
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edited by José Ignacio Burgos Gil, Kurusch Ebrahimi-Fard, Herbert Gangl
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Springer Proceedings in Mathematics & Statistics ; 314
オンライン: https://doi.org/10.1007/978-3-030-37031-2
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I. Todorov, Perturbative quantum field theory meets number theory
E. Panzer, Some open problems on Feynman periods
S. Stieberger, Periods and Superstring Amplitudes
O. Schlotterer
The number theory of superstring amplitudes
N. Matthes, Overview On Elliptic Multiple Zeta Values
L. Adams, C. Bogner, S. Weinzierl, The Elliptic Sunrise
C. Vergu, Polylogarithm identities, cluster algebras and the N = 4 supersymmetric theory
H. Bachmann, Multiple Eisenstein series and q-analogues of multiple zeta values
H. Bachmann, U. Kühn, A dimension conjecture for q-analogues of multiple zeta values
J. Zhao, Uniform Approach to Double Shuffle and Duality Relations of Various q-Analogs of Multiple Zeta Values via Rota-Baxter Algebras
J. Singer, q-Analogues of multiple zeta values and their applications in renormalization
N. M. Nikolov, Vertex algebras and renormalization
K. Rejzner, Renormalization and periods in perturbative Algebraic Quantum Field Theory
C. Malvenuto, F. Patras, Symmetril moulds, generic group schemes, resummation of MZVs
A. Salerno, L. Schneps, Mould theory and the double shuffle Lie algebra structure
F. Chapoton, On some tree-indexed series with one and two parameters
K. Ebrahimi-Fard, W. Steven Gray, D. Manchon, Evaluating Generating Functions for Periodic Multiple Polylogarithms
D. Manchon, Arborified multiple zeta values
L. Foissy, F. Patras, Lie theory for quasi-shuffle bialgebras
H. Furusho, Galois action on knots II: Proalgebraic string links and knots
H. Nakamura, Z. Wojtkowiak, On distribution formulas for complex and l-adic polylogarithms
W. Zudilin, On a family of polynomials related to ζ(2,1)=ζ(3)
I. Todorov, Perturbative quantum field theory meets number theory
E. Panzer, Some open problems on Feynman periods
S. Stieberger, Periods and Superstring Amplitudes
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by Matteo Campanella, David Jou, Maria Stella Mongiovì
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: UNIPA Springer Series ;
オンライン: https://doi.org/10.1007/978-3-030-44207-1
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1 Fundamental assumptions
2 The state of a quantum system as a subsystem of a composite system
3 Relation between the state of a system as isolated and as open
4 Universality of the probability function
5 Appendix A
6 Appendix B
7 Appendix C
8 Appendix D.
1 Fundamental assumptions
2 The state of a quantum system as a subsystem of a composite system
3 Relation between the state of a system as isolated and as open
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by Hideyuki Azegami
出版情報: Singapore : Springer Singapore : Imprint: Springer, 2020
シリーズ名: Springer Optimization and Its Applications ; 164
オンライン: https://doi.org/10.1007/978-981-15-7618-8
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Preface
Notation
Chapter 1: Basics of Optimal Design
Chapter 2: Basics of Optimization Theory
Chapter 3: Basics of Mathematical Programming
Chapter 4: Basics of Variational Principles and Functional Analysis
Chapter 5: Boundary Value Problems of Partial Differential Equations
Chapter 6: Fundamentals of Numerical Analysis
Chapter 7: Abstract Optimum Design Problem
Chapter 8: Topology Optimization Problem of Density Variation Type
Chapter 9: Shape Optimization Problems of Domain Variation Type
Answers to Practice Problems
Afterword
References
Index
Preface
Notation
Chapter 1: Basics of Optimal Design
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by Santanu Saha Ray
出版情報: Singapore : Springer Singapore : Imprint: Springer, 2020
オンライン: https://doi.org/10.1007/978-981-15-1656-6
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1. Mathematical Preliminaries
2. New Approaches for Decomposition Method for the Solution of Differential Equations
3. Numerical Solution of Fractional Differential Equations by using New Wavelet Operational Matrix of General Order
4. Numerical Solutions of Riesz Fractional Partial Differential Equations
5. New Exact Solutions of Fractional Order Partial Differential Equations
6. An Investigation for New Double Periodic Solutions of Coupled Schrödinger-Boussinesq Equations
7. New Techniques for Fractional Reduced Differential Transform Method
7. A Novel Approach with Time-Splitting Fourier Spectral Method for Riesz Fractional Differential Equations
9. Numerical Simulation of Stochastic Point Kinetic Equation in the Dynamical System of Nuclear Reactor
1. Mathematical Preliminaries
2. New Approaches for Decomposition Method for the Solution of Differential Equations
3. Numerical Solution of Fractional Differential Equations by using New Wavelet Operational Matrix of General Order
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by David N. Cheban
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/10.1007/978-3-030-34292-0
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Almost Periodic Motions of Dynamical Systems
Compact Global Attractors
Analytical Dissipative Systems
Almost Periodic Solutions of Linear Differential Equations
Almost Periodic Solutions of Monotone Differential Equations
Gradient-Like Dynamical Systems
Almost Periodic Motions of Dynamical Systems
Compact Global Attractors
Analytical Dissipative Systems
56.

電子ブック

EB
edited by J. A. Tenreiro Machado, Necati Özdemir, Dumitru Baleanu
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Nonlinear Systems and Complexity ; 30
オンライン: https://doi.org/10.1007/978-3-030-37062-6
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Chapter 1. Heuristic Techniques for Real-time Order Acceptance and Scheduling in Metal Additive Manufacturing
Chapter 2. Developing A Nationwide Energy Storage Policy by Optimal Size and Site Selection
Chapter 3. Pontryagin’s Principle for a Class of Discrete Time Infinite-horizon Optimal Growth Problems
Chapter 4. A Medical Modelling Using Multiple Linear Regression
Chapter 5. Lie group method solution for two-dimensional heat and viscous flow driven by injection through a deformable rectangular channel with porous walls
Chapter 6. Optimal siting of wind turbines in a windfarm
Chapter 7. RSM-based Optimization of Excitation Capacitance and Speed for a Self-Excited Induction Generator
Chapter 8. Distance Constrained Vehicle Routing Problems: A Case Study using Artificial Bee Colony Algorithm
Chapter 9. Fractional model for type 1 diabetes
Chapter 10. Mathematical Modelling and Additive Manufacturing of a Gyroid
Chapter 1. Heuristic Techniques for Real-time Order Acceptance and Scheduling in Metal Additive Manufacturing
Chapter 2. Developing A Nationwide Energy Storage Policy by Optimal Size and Site Selection
Chapter 3. Pontryagin’s Principle for a Class of Discrete Time Infinite-horizon Optimal Growth Problems
57.

電子ブック

EB
edited by Valery A. Gritsenko, Vyacheslav P. Spiridonov
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Moscow Lectures ; 5
オンライン: https://doi.org/10.1007/978-3-030-42400-8
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A short introduction to the algebra, geometry, number theory and physics of moonshine
Modified elliptic genus
Superconformal indices and instanton partition functions
On spinorial representations of involutory subalgebras of Kac-Moody algebras
BPS spectra and invariants for three- and four-manifolds
Introduction to the theory of elliptic hypergeometric integrals
Feynman integrals and mirror symmetry
Theory and applications of the elliptic Painlevé equation
A short introduction to the algebra, geometry, number theory and physics of moonshine
Modified elliptic genus
Superconformal indices and instanton partition functions