I Inverse problems and related topics for partial differential equations: 1. Jin Cheng, Mourad Choulli and Shuai Lu, An inverse conductivity problem in multifrequency electric impedance tomography
2. Piermarco Cannarsa and Cristina Urbani, Superexponential stabilizability of degenerate parabolic equations via bilinear control
3. Michel Cristofol and Lionel Roques, Simultaneous determination of two coefficients in Itô diffusion processes-theoretical and numerical approaches
4. Victor Isakov and Shuai Lu, On the inverse source problem with boundary data at many wave numbers
5. Guanghui Hu, Yikan Liu and Masahiro Yamamoto, Inverse moving source problem for fractional diffusion(-wave) equations: determination of orbits
6. O. Yu. Imanuvilov and M. Yamamoto, Inverse problems for a compressible fluid system
7. Xinchi Huang, Carleman estimate for a general second-order hyperbolic equation
II Regularization theory of inverse problems
8. Bernd Hofmann and Peter Mathé, A priori parameter choice in Tikhonov regularization with oversmoothing penalty for non-linear ill-posed problems
9. Daniel Gerth, Bernd Hofmann and Christopher Hofmann, Case studies and a pitfall for nonlinear variational regularizationunder conditional stability
10. Mykola Krasnoschok, Sergei Pereverzyev, Sergii V. Siryk and Nataliya Vasylyeva, Regularized reconstruction of the order in semilinear subdiffusion with memory
11. Ronny Ramlau, Christoph Koutschan, and Bernd Hofmann, On the singular value decomposition of n-fold integration operators
12. Daniel Gerth and Stefan Kindermann, The Kurdyka-Šojasiewicz inequality as regularity condition
13. Kazufumi Ito, Value function calculus and applications
Preface
I Inverse problems and related topics for partial differential equations: 1. Jin Cheng, Mourad Choulli and Shuai Lu, An inverse conductivity problem in multifrequency electric impedance tomography
2. Piermarco Cannarsa and Cristina Urbani, Superexponential stabilizability of degenerate parabolic equations via bilinear control
1 L. Silva et al., Simulation of Complex High Reynolds Flows with a VMS method and Adaptive Meshing
2 B. Bastl et al., Comparison of coupled and decoupled solvers for incompressible Navier-Stokes equations solved by isogeometric analysis
3 A. Jaeschke and M. Möller, High-Order Isogeometric Methods for Compressible Flows. I. Scalar Conservation Laws
4 M. Möller and A. Jaeschke, High-Order Isogeometric Methods for Compressible Flows. II. Compressible Euler Equations
5 G. Tumolo and L. Bonaventura, Simulations of Non-hydrostatic Flows by an Efficient and Accurate p-adaptive DG Method
6 L. Bonaventura et al., A fully semi-Lagrangian method for the Navier–Stokes equations in primitive variables
7 A. Dervieux et al., Mesh adaptation for k-exact CFD approximations
8 M. R. A. Abdelmalik and E. H. van Brummelen, Entropy Stable Discontinuous Galerkin Finite Element Moment Methods for Compressible Fluid Dynamics
9 M. Make et al., Space-Time NURBS-Enhanced Finite Elements for Solving the Compressible Navier-Stokes Equations
10 S. Santoso et al., Fluid Flow Simulation from geometry data based on point clouds
11 C. Miles et al., Thermomechanically-consistent phase-field modelling of thin film flows
12 K. Bicol and A. Quaini, On the sensitivity to model parameters in a filter stabilization technique for advection dominated advection-diffusion-reaction problems
13 J. K. Ryan and J. Docampo, One-dimensional Line SIAC filtering for multi-dimensions: Applications to Streamline Visualization
14 J. H. Spühler et al., A high performance computing framework for finite element simulation of blood flow in the left ventricle of the human heart
15 B. S. Hosseini and M. Möller, Phase field-based incompressible two-component liquid flow simulation
16 J. Watkins et al., A study on the performance portability of the finite element assembly process within the Albany Land Ice solver
17 A. Johansson et al., A MultiMesh Finite Element Method for the Stokes Problem
18 Y. Mesri et al., A variational multi-scale anisotropic mesh adaptation scheme for aerothermal problems
19 N. Ferro et al., Density-based inverse homogenization with anisotropically adapted elements
20 H. Hajduk et al., Bathymetry reconstruction using inverse shallow water
21 E. G. Phillips et al., Enabling Scalable Multifluid Plasma Simulations through Block Preconditioning
22 S. Hijazi et al., The Effort of Increasing Reynolds Number in Projection-Based Reduced Order Methods: from Laminar to Turbulent Flows
23 J. M. Maljaars et al., Optimization Based Particle-Mesh Algorithm for High-Order and Conservative Scalar Transport
24 P. T. Lin et al., Krylov smoothing for fully-coupled AMG preconditioners for VMS resistive MHD
25 I. K. Marchevsky and G. A. Shcheglov, Double Layer Potential Density Reconstruction Procedure For 3D Vortex Methods
26 T. Yamada and K. Goto, Balancing Domain Decomposition Method on Additive Schwartz Framework for Multi-level Implementation
27 M. Gerritsma et al., Algebraic dual polynomials for the equivalence of curl-curl problems
28 K. Masui et al., Multiple-precision Iterative Methods for Solving Complex Symmetric Electromagnetic Systems
29 D. Kuzmin, Gradient-based limiting and stabilization of continuous Galerkin methods
30 J. Llobell et al., High order CG schemes for KdV and Saint-Venant flows
1 L. Silva et al., Simulation of Complex High Reynolds Flows with a VMS method and Adaptive Meshing
2 B. Bastl et al., Comparison of coupled and decoupled solvers for incompressible Navier-Stokes equations solved by isogeometric analysis
3 A. Jaeschke and M. Möller, High-Order Isogeometric Methods for Compressible Flows. I. Scalar Conservation Laws
On the existence of positive solutions for the time-scale dynamic equations on infinite intervals (Dogan)
A randomized quasi-Monte Carlo algorithms for some boundary value problems (Sipin)
On the study of forward Kolmogorov system and the corresponding problems for inhomogeneous continuous-time Markov chains (Zeifman)
Convergence rate estimates for some models of queuing theory, and their applications (Zeifman et al.)
On Enlarged Sufficient Conditions for L2-Dissipativity of Linearized Explicit Schemes with Regularization for 1D Gas Dynamics Systems of Equations (Zlotnik)
Equilibrium of a linearly elastic body under generalized boundary data (Starita et al.)
Nonlocal problems for the fourth order impulsive partial differential equations (Assanova et al.)
Application of method of differential inequalities to bounding the rate of convergence for a class of Markov chains (Kryukova et al.)
The method of fractional steps for the numerical solution of a multidimensional heat conduction equation with delay for the case of variable coefficient of heat conductivity (Lekomtsev)
Hyers-Ulam stability of a nonlinear Volterra integral equation on time scales (Christian et al.)
Hyers-Ulam stability of a nonlinear Volterra integral equation on time scales (Reinfelds et al.)
On some stochastic algorithms for the numerical solution of the first boundary value problem for the heat equation (Sipin et al.)
Local controllability of a class of fractional differential inclusions via derived cones (Aurelian)
A Modified Second-Order Collatz Equation as a Mathematical Model of Bipolar Disorder (Kent)
Local bifurcations in the generalized Cahn-Hilliard equation (Kulikovet et al.)
The numerical solution of wave equation with delay for the case of variable velocity coefficient (Tashirova)
Two nontrivial solutions for Robin problems driven by a p−Laplacian operator (Aguı et al.)
Multiple periodic solutions for a Duffing type equation with one-sided sublinear nonlinearity: Beyond the Poincare-Birkhoff twist theorem (Donde` et al.)
Dynamical models of interrelation in a class of artificial networks (Sadyrbaev et al.)
Analytic traveling-wave solutions of the Kardar-Parisi-Zhang interface growing equation with different kind of noise terms (Barna et al.)
Triple solutions for elastic beam equations of the fourth-order with boundary conditions subjected to an elastic device (Bonanno et al.)
Dynamics of discrete operator equations (Karakostas)
Research of four-dimensional dynamic systems describing processes of three’level assimilation (Chilachava et al.)
Two positive solutions for a nonlinear Neuman problem involving the discrete p−Laplacian (Bonanno et al.)
Structure of solution sets for fractional partial integro-differential equations (Benaouda)
Study of the Equivalent Impedance Of A Resonator Array Using Difference Equations (Albuquerque et al.)
Asymptotics of an Equation with Large State-Dependent Delay (Kashchenko)
About Some Methods of Analytic Representation and Classfication of a Wide Set of Geometric Figures with "Complex" Configuration (Tavkhelidze et al.)
On nonpower-law asymptotic behavior of blow-up solutions to Emden-Fowler type higher-order differential equations (Astashova et al.)
Third Order Iterative Method for Nonlinear Difference Schemes (Iumanova et al.)
Non-homogeneous boundary problems for one-dimensional flow of the compressible viscous and heat-conducting micropolar fluid (Draˇzic´)
The general case of cutting GML bodies (Gielis)
Computational simulation of bacterial infections in surgical procedures: an exploratory study (Ferreira et al.)
Coupling temperature with drug diffusion: a second order approximation (Ferreira et al.)
Drug release from thermosensitive polymeric platforms - towards non Fickian models (Ferreira et al.)
Some properties of a generalized solution for shear flow of a compressible viscous micropolar fluid model (Simˇcic´)
Collocation solution of fractional differential equations in piecewise nonpolynomial spaces (Lu´ısa et al.)
On conditions on the potential in a Sturm– Liouville problem and an upper estimate of its first eigenvalue (Ezhak et al.)
IFOHAM-a generalization of the Picard-Lindel off iteration method (Sacramento et al.)
Well-Posedness of Volterra Integro-differential Equations with Fractional Exponential Kernels (Rautian)
Chapter 1. Mathematical Study of Psoriasis Treatment by Interleukin 10 Through Impulsive Control Strategy
Chapter 2. Multigrid Methods for the Simulations of Surfactant
Chapter 3. Spreading on a Thin Liquid Film
Chapter 4. Proximinality and Remotality in Abstract Spaces
Chapter 5. Hopf bifurcation in a mathematical model of tuberculosis with delay
Chapter 6. Numerical simulation of cable equation using Differential quadrature method
Chapter 7. Numerical Simulation of Dusty Air Flow and Particle Deposition Inside Permeable Alveolar Duct
Chapter 8. Size- Biased Poisson-Ishita Distribution And Its Applications To Thunderstorm Events
Chapter 9. Resilience and dynamics of coral reefs impacted by chemically rich seaweeds and unsustainable fishing stability of fractional volterra integrodiff eqns
Chapter 10. On Fractional Partial Differential Equations of Diffusion Type with Integral Kernel
Chapter 11. Mathematical Study on Human Cells Interaction Dynamics for HIV-TB Co-infection
Chapter 12. Controllability of Nonlinear Fractional Damped Delay Systems with Multiple Delays in Control
Chapter 13. Existence and stability results for stochastic fractional delay differential equations with Gaussian noise
Chapter 14. A Graphical User Interface based Fingerprint Recognition
Chapter 15. Bicomplex Matrix Semigroups
Chapter 16. Mixed-Integer Optimal Control For Pdes: Relaxation Via Differential Inclusions And Applications To Gas Network Optimization
Chapter 17. Schrödinger operators with a switching effect
Chapter 18. Distribution Theory by Riemann Integrals
Chapter 19. Wavelet Galerkin Methods for Higher Order Partial Differential Equations
Chapter 20. Critical growth elliptic problems with Choquard type non linearity
Chapter 21. A New Model For Transient Flow In Gas Transportation Networks
Chapter 22. Partial differential equations on metric graphs: A survey of
Chapter 23. Wavelet-Neural-Fuzzy Coupled Modeling of National Stock Exchange (NSE) for Opening and Closing Stock
Chapter 24. Topological analysis of a weighted human behavior model coupled on a streets and places network in the context of urban terrorist attack
Chapter 1. Mathematical Study of Psoriasis Treatment by Interleukin 10 Through Impulsive Control Strategy
Chapter 2. Multigrid Methods for the Simulations of Surfactant
1. Introduction.-1.1 Historical remarks .-1.2 On overview of main results and applications .-1.3 Results on nonlocal reaction-diffusion systems 2. The functional framework.-2.1 The fractional-in-time linear Cauchy problem .-2.2 Ultracontractivity and resolvent families .-2.3 Examples of sectorial operators .-3 The semilinear parabolic problem.-3.1 Maximal mild solution theory .-3.2 Maximal strong solution theory .-3.3 Differentiability properties in the case 0 < a < .-3.4 Global a priori estimates
3.5 Limiting behavior as a ®1
3.6 Nonnegativity of mild solutions .-3.7 An application: the fractional Fisher-KPP equation .-4 Systems of fractional kinetic equations .-4.1 Nonlinear fractional reaction-diffusion .-4.2 The fractional Volterra-Lotka model .-4.3 A fractional nuclear reactor model .-5 Final remarks and open problems .-A Some supporting technical tools .-B Integration by parts formula for the regional fractional Laplacian .-C A zoo of fractional kinetic equations.-C.1 Fractional equation with nonlocality in space.-C.2 Fractional equation with nonlocality in time.-C.3 Space-time fractional nonlocal equation.-References.-Index
1. Introduction.-1.1 Historical remarks .-1.2 On overview of main results and applications .-1.3 Results on nonlocal reaction-diffusion systems 2. The functional framework.-2.1 The fractional-in-time linear Cauchy problem .-2.2 Ultracontractivity and resolvent families .-2.3 Examples of sectorial operators .-3 The semilinear parabolic problem.-3.1 Maximal mild solution theory .-3.2 Maximal strong solution theory .-3.3 Differentiability properties in the case 0 < a < .-3.4 Global a priori estimates
3.5 Limiting behavior as a ®1
3.6 Nonnegativity of mild solutions .-3.7 An application: the fractional Fisher-KPP equation .-4 Systems of fractional kinetic equations .-4.1 Nonlinear fractional reaction-diffusion .-4.2 The fractional Volterra-Lotka model .-4.3 A fractional nuclear reactor model .-5 Final remarks and open problems .-A Some supporting technical tools .-B Integration by parts formula for the regional fractional Laplacian .-C A zoo of fractional kinetic equations.-C.1 Fractional equation with nonlocality in space.-C.2 Fractional equation with nonlocality in time.-C.3 Space-time fractional nonlocal equation.-References.-Index
G. Avalishvili and M. Avalishvili, On Variational Methods of Investigation of Mathematical Problems for Thermoelastic Piezoelectric Solids
P. K. Babilua and E. A. Nadaraya, On Nonparametric Kernel-Type Estimate of the Bernoulli Regression Function
L. Beznea, M. Deaconu and O. Lupascu-Stamate, Scaling Property for Fragmentation Processes Related to Avalanches
T. Chilachava and G. Pochkhua, Conflict Resolution Models and Resource Minimization Problems
T. Davitashvili, I. Samkharadze and M. Sharikadze, Modeling of Extreme Events and Regional Climate Variability on the Territory of the Caucasus (Georgia)
B. Dundua, T. Kutsia, M. Marin and C. Pau, Extending the pLog Calculus with Proximity Relations
B. Dundua, T. Kutsia, M. Marin and M. Rukhaia, Specification and Analysis of ABAC Policies in a Rule-Based Framework
N. Ene, M. Fernández and B. Pinaud, A Strategic Graph Rewriting Model of Rational Negligence in Financial Markets
A. Fialowski, On Lie Algebras with an Invariant Inner Product
R. Galdava, D. Gulua and J. Rogava, Study of Three-Layer Semi-Discrete Schemes for Second Order Evolution Equations by Chebyshev Polynomials
G. Giorgobiani, V. Kvaratskhelia and V. Tarieladze, Notes On Sub-Gaussian Random Elements
S. Gorgisheli, M. Mrevlishvili and D. Natroshvili, Localized Boundary-Domain Integro-Differential Equations Approach for stationary Heat Transfer Equation
B. Gulua and R. Janjgava, Boundary Value Problems of the Plane Theory of Elasticity for Materials with Voids
O. Purtukhia and Z. Zerakidze, Objective and Subjective Consistent Criteria for Hypotheses Testing
W. Rickert and W. H. Müller, Review of Rational Electrodynamics: Deformation and Force Models for Polarizable and Magnetizable Matter
G. Avalishvili and M. Avalishvili, On Variational Methods of Investigation of Mathematical Problems for Thermoelastic Piezoelectric Solids
P. K. Babilua and E. A. Nadaraya, On Nonparametric Kernel-Type Estimate of the Bernoulli Regression Function
L. Beznea, M. Deaconu and O. Lupascu-Stamate, Scaling Property for Fragmentation Processes Related to Avalanches
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