This book constitutes the thoroughly refereed post-conference proceedings of the 6th International Conference on Finite Difference Methods, FDM 2014, held in Lozenetz, Bulgaria, in June 2014.
The 36 revised full papers were carefully reviewed and selected from 62 submissions. These papers together with 12 invited papers cover topics such as finite difference and combined finite difference methods as well as finite element methods and their various applications in physics, chemistry, biology and finance.
Author(s): Ivan Dimov, István Faragó, Lubin Vulkov (eds.)
Series: Lecture Notes in Computer Science 9045
Edition: 1
Publisher: Springer International Publishing
Year: 2015
Language: English
Pages: 434
Tags: Algorithm Analysis and Problem Complexity; Programming Techniques; Computation by Abstract Devices; Computer Communication Networks; Software Engineering/Programming and Operating Systems; Discrete Mathematics in Computer Science
Front Matter....Pages I-XI
Front Matter....Pages 1-1
Simulation of Flow in Fractured Poroelastic Media: A Comparison of Different Discretization Approaches....Pages 3-14
A Transparent Boundary Condition for an Elastic Bottom in Underwater Acoustics....Pages 15-24
Well-Posedness in Hölder Spaces of Elliptic Differential and Difference Equations....Pages 25-37
Operator Semigroups for Convergence Analysis....Pages 38-49
The Power of Trefftz Approximations: Finite Difference, Boundary Difference and Discontinuous Galerkin Methods; Nonreflecting Conditions and Non-Asymptotic Homogenization....Pages 50-61
On Extension of Asymptotic Comparison Principle for Time Periodic Reaction-Diffusion-Advection Systems with Boundary and Internal Layers....Pages 62-71
The Finite Difference Method for Boundary Value Problem with Singularity....Pages 72-83
Superconvergence of Some Linear and Quadratic Functionals for Higher-Order Finite Elements....Pages 84-95
Time Step for Numerically Solving Parabolic Problems....Pages 96-103
Recent Advances in Numerical Solution of HJB Equations Arising in Option Pricing....Pages 104-116
Applications of Numerical Methods for Stochastic Controlled Switching Diffusions with a Hidden Markov Chain: Case Studies on Distributed Power Management and Communication Resource Allocation....Pages 117-128
Error Estimates of the Crank-Nicolson-Polylinear FEM with the Discrete TBC for the Generalized Schrödinger Equation in an Unbounded Parallelepiped....Pages 129-141
Front Matter....Pages 143-143
Difference Schemes for Delay Parabolic Equations with Periodic Boundary Conditions....Pages 145-152
Some Results of FEM Schemes Analysis by Finite Difference Method....Pages 153-160
Application of Finite Difference TVD Methods in Hypersonic Aerodynamics....Pages 161-168
Finite Difference Equations for Neutron Flux and Importance Distribution in 3D Heterogeneous Reactor....Pages 169-176
Matrix-Free Iterative Processes for Implementation of Implicit Runge–Kutta Methods....Pages 177-184
Simulation of Technogenic and Climatic Influences in Permafrost for Northern Oil Fields Exploitation....Pages 185-192
Iterative Implicit Methods for Solving Nonlinear Dynamical Systems: Application of the Levitron....Pages 193-200
Modeling Textile Fabric Used in Pest Control with a 3 Scale Domain Decomposition Method....Pages 201-208
Front Matter....Pages 143-143
The Theory and Applications of the SMIF Method for Correct Mathematical Modeling of the Incompressible Fluid Flows....Pages 209-216
Determination of the Time-Dependent Thermal Conductivity in the Heat Equation with Spacewise Dependent Heat Capacity....Pages 217-224
Inverse Problems of Simultaneous Determination of the Time-Dependent Right-Hand Side Term and the Coefficient in a Parabolic Equation....Pages 225-232
Effectiveness of the Parallel Implementation of the FEM for the Problem of the Surface Waves Propagation....Pages 233-240
Splitting Scheme for Poroelasticity and Thermoelasticity Problems....Pages 241-248
Numerical Investigation of Adaptive Immune Response to Viral Infection....Pages 249-256
Efficient Application of the Two-Grid Technique for Solving Time-Fractional Non-linear Parabolic Problem....Pages 257-265
Error Estimates of Four Level Conservative Finite Difference Schemes for Multidimensional Boussinesq Equation....Pages 266-273
Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equation with p-Laplacian Operator....Pages 274-281
Finite-Difference Simulation of Wave Propagation Through Prestressed Elastic Media....Pages 282-289
Modeling the Wind Influence on Acoustic-Gravity Propagation Waves in a Heterogeneous Earth-Atmosphere Model....Pages 290-298
Numerical Solutions of Fractional Differential Equations by Extrapolation....Pages 299-306
Finite Difference Method for Two-Sided Space-Fractional Partial Differential Equations....Pages 307-314
Spline Collocation for Fractional Integro-Differential Equations....Pages 315-322
Rational Spectral Collocation Method for Pricing American Vanilla and Butterfly Spread Options....Pages 323-331
Riemann Problem for First-Order Partial Equations Without the Convexity of a State Functions ....Pages 332-339
Numerical Modeling of a Block Medium as an Orthotropic Cosserat Continuum....Pages 340-347
Computational Algorithm for Modeling Viscoelastic Waves in the Kelvin–Voigt Medium....Pages 348-355
Investigating the Dynamics of Traffic Flow on a Highway in a Class of Discontinuous Functions....Pages 356-363
Numerical Simulation of Thermoelasticity Problems on High Performance Computing Systems....Pages 364-370
Front Matter....Pages 143-143
Multifrontal Hierarchically Solver for 3D Discretized Elliptic Equations....Pages 371-378
Solving the 3D Elasticity Problems by Rare Mesh FEM Scheme ....Pages 379-384
Computational Algorithm for Identification of the Right-Hand Side of the Parabolic Equation....Pages 385-392
Simulation and Numerical Investigation of Temperature Fields in an Open Geothermal System....Pages 393-399
Modeling of Annual Heat and Moisture Diffusion in a Multilayer Wall....Pages 400-407
Asymptotic-Numerical Method for Moving Fronts in Two-Dimensional R-D-A Problems....Pages 408-416
A New Approach to Constructing Splitting Schemes in Mixed FEM for Heat Transfer: A Priori Estimates....Pages 417-425
The Analysis of Lagrange Interpolation for Functions with a Boundary Layer Component....Pages 426-432
Back Matter....Pages 433-434