Finite Difference Methods. Theory and Applications: 7th International Conference, FDM 2018, Lozenetz, Bulgaria, June 11-16, 2018, Revised Selected Papers

Description

This book constitutes the refereed conference proceedings of the 7th International Conference on Finite Difference Methods, FDM 2018, held in Lozenetz, Bulgaria, in June 2018.The 69 revised full papers presented together with 11 invited papers were carefully reviewed and selected from 94 submissions. They deal with many modern and new numerical techniques like splitting techniques, Green’s function method, multigrid methods, and immersed interface method. Front Matter ....Pages I-XVI Front Matter ....Pages 1-1 From a Geometrical Interpretation of Bramble-Hilbert Lemma to a Probability Distribution for Finite Element Accuracy (Joel Chaskalovic, Franck Assous)....Pages 3-14 A High Order Method on Graded Meshes for a Time-Fractional Diffusion Problem (Hu Chen, Martin Stynes)....Pages 15-27 Numerical Solving a Boundary Value Problem for the Eikonal Equation (Alexander G. Churbanov, Petr N. Vabishchevich)....Pages 28-34 Iterative Semi-implicit Splitting Methods for Stochastic Chemical Kinetics (Jürgen Geiser)....Pages 35-47 The Application of a Special Hermite Finite Element Coupled with Collocation to the Diffusion Equation (Lidiya Gileva, Evgeniya Karepova, Vladimir Shaydurov)....Pages 48-59 A 2nd-Order Numerical Scheme for Fractional Ordinary Differential Equation Systems (W. Li, S. Wang)....Pages 60-71 Blow-Up of Fronts in Burgers Equation with Nonlinear Amplification: Asymptotics and Numerical Diagnostics (Dmitry Lukyanenko, Nikolay Nefedov)....Pages 72-79 Improved Computer Scheme for a Singularly Perturbed Parabolic Convection–Diffusion Equation (Grigorii Shishkin, Lidia Shishkina)....Pages 80-91 On Ignorance Regions and Spatial Aspects for South American sea lion (Otaria byronia) Operational Interaction with the Artisan Gillnet Fishery in Chile (Milan Stehlík, Jean Paul Maidana, Claudia Navarro Villarroel, Maritza Sepúlveda, Doris Oliva)....Pages 92-101 Finite Difference Scheme for Stochastic Differential Games with Several Singular Control Variables and Its Environmental Application (Hidekazu Yoshioka, Yuta Yaegashi)....Pages 102-113 Stability Properties of Repeated Richardson Extrapolation Applied Together with Some Implicit Runge-Kutta Methods (Zahari Zlatev, Ivan Dimov, István Faragó, Krassimir Georgiev, Ágnes Havasi)....Pages 114-125 Front Matter ....Pages 127-127 Computer Modeling of Control the Thermal Imaging System Surveillance (Tatiana Akimenko, Ekaterina Filippova)....Pages 129-136 Generalized Multiscale Finite Element Method for Elasticity Problem in Fractured Media (V. Alekseev, A. Tyrylgin, M. Vasilyeva)....Pages 137-144 Automatic Time Step Selection for Numerical Solution of Neutron Diffusion Problems (A. V. Avvakumov, V. F. Strizhov, P. N. Vabishchevich, A. O. Vasilev)....Pages 145-152 Local Convergence Results for an Optimal Iterative Method for Multiple Roots (Ramandeep Behl, Eulalia Martínez, Fabricio Cevallos, Ali Saleh Alshomrani)....Pages 153-158 Spline Iterative Method for Pantograph Type Functional Differential Equations (Alexandru Mihai Bica, Mircea Curila, Sorin Curila)....Pages 159-166 On Gas Dynamic Hierarchy (S. V. Bogomolov, N. B. Esikova, A. E. Kuvshinnikov, P. N. Smirnov)....Pages 167-174 The Error Analysis of Finite Difference Approximation for a System of Singularly Perturbed Semilinear Reaction-Diffusion Equations with Discontinuous Source Term (S. Chandra Sekhara Rao, Sheetal Chawla)....Pages 175-184 Efficiency and Stability of a Family of Iterative Schemes for Solving Nonlinear Equations (Alicia Cordero, Ivan Giménez, Juan R. Torregrosa)....Pages 185-192 Stability of a Family of Iterative Methods of Fourth-Order (Alicia Cordero, Lucía Guasp, Juan R. Torregrosa)....Pages 193-200 Multidimensional Real Dynamics for High-Order Processes (Alicia Cordero, Javier G. Maimó, Juan R. Torregrosa, Maria P. Vassileva)....Pages 201-207 Bi-parametric Family of Methods with Memory Based of Ostrowski-Chun Method (Alicia Cordero, Javier G. Maimó, Juan R. Torregrosa, Maria P. Vassileva)....Pages 208-215 Asymptotically Lyapunov-Stable Solutions with Boundary and Internal Layers in the Stationary Reaction-Diffusion-Advection Problems with a Small Transfer (M. A. Davydova, N. N. Nefedov, S. A. Zakharova)....Pages 216-224 Numerical Modeling of the Charge Transfer Along 1D Molecular Chain “Donor-Bridge-Acceptor” at T = 300 K (Nadezhda Fialko, Victor D. Lakhno)....Pages 225-232 Simulation of Influence of Special Regimes of Horizontal Flare Systems on Permafrost (M. Yu. Filimonov, N. A. Vaganova)....Pages 233-240 The Method of Fundamental Solutions Combined with a Multi-level Technique (Csaba Gáspár)....Pages 241-249 Generalized Multiscale Discontinuous Galerkin Method for Helmholtz Problem in Fractured Media (U. Gavrileva, V. Alekseev, M. Vasilyeva, J. D. De Basabe, Y. Efendiev, R. L. Gibson Jr.)....Pages 250-257 Difference Schemes for the Nonlinear Equations in Partial Derivatives with Heredity (T. V. Gorbova, V. G. Pimenov, S. I. Solodushkin)....Pages 258-265 Conservative Finite-Difference Algorithm for the Thermodiffusion Stefan Problem (A. Gusev, O. Mazhorova, O. Shcheritsa)....Pages 266-273 On One Method for Solving of a Non-stationary Fluid Flows with Free Surface (Valentin A. Gushchin, Vasilii G. Kondakov)....Pages 274-280 The Third Order Iterative Method for Solving Nonlinear Parabolic Equations and Its Application to the Biological Tissues Models (I. F. Iumanova, S. I. Solodushkin)....Pages 281-288 Iterative Process for Numerical Recovering the Lowest Order Space-Wise Coefficient in Parabolic Equations (D. Kh. Ivanov, P. N. Vabishchevich)....Pages 289-296 P-Thinned Gamma Process and Corresponding Random Walk (Pavlina Jordanova, Milan Stehlík)....Pages 297-304 Analytic Theory of Singular Perturbations and Lomov’s Regularization Method (Vasiliy I. Kachalov)....Pages 305-312 On Inverse Problem of Determination of the Coefficient in the Black-Scholes Type Equation (Vitaly L. Kamynin, Tatiana I. Bukharova)....Pages 313-320 Finite Difference Schemes on Locally Refined Cartesian Grids for the Solution of Gas Dynamic Problems on the Basis of Quasigasdynamics Equations (Yury N. Karamzin, Tatiana A. Kudryashova, Sergey V. Polyakov, Viktoriia O. Podryga)....Pages 321-328 Time to Start a Crowded Period in a Finite-Buffer Queue with Poisson Input Flow and General Processing Times (Wojciech M. Kempa)....Pages 329-336 Two-Grid Newton Algorithms for a System of Heat Conducting Gas Equations (Miglena N. Koleva, Lubin G. Vulkov)....Pages 337-345 On Convergence of Difference Approximations of Extremum Problems Described by Elliptic Equations with Unbounded Nonlinearity (Aigul Manapova)....Pages 346-353 Spijker’s Example and Its Extension (Miklós E. Mincsovics)....Pages 354-361 Numerical Estimation of Seismic Wave Attenuation in Fractured Porous Fluid-Saturated Media (Mikhail Novikov, Vadim Lisitsa, Tatiana Khachkova)....Pages 362-369 Relativistic Burgers Models on Curved Background Geometries (Baver Okutmustur)....Pages 370-377 Consistent Discrete-Analytical Schemes for the Solution of the Inverse Source Problems for Atmospheric Chemistry Models with Image-Type Measurement Data (Alexey Penenko, Vladimir Penenko, Elena Tsvetova, Zhadyra Mukatova)....Pages 378-386 Multiscale Mathematical Modeling of the Metal Nanoparticles Motion in a Gas Flow (Viktoriia Podryga, Sergey Polyakov)....Pages 387-394 Construction of Higher-Order Approximation Difference Scheme for Nonlinear Convection-Diffusion Equation Using Adaptive Artificial Viscosity in Case of Two-Phase Filtering Problems (I. V. Popov, Yu. A. Poveshchenko, S. V. Polyakov)....Pages 395-402 About Free-Volumetric Approximation of a Piezoconductive Medium with Gas Hydrate Inclusions (Yury Poveshchenko, Viktoriia Podryga, Parvin Rahimly)....Pages 403-410 Modeling of Fluidodynamic Processes in a Porous Medium with Gashydrate Deposits (Yu. A. Poveshchenko, P. I. Rahimly, I. V. Gasilova, G. I. Kazakevich, Yu. S. Sharova, V. O. Podryga et al.)....Pages 411-418 Nonlinear Differential Equation of the Surface Section of Gas-Liquid (L. A. Prokudina)....Pages 419-426 Completely Conservative Difference Schemes for Simultaneous Calculations of Thawed Hydrated Zone and Piezoconductive Medium with Gas Hydrate Inclusions (Parvin Rahimly, Yury Poveshchenko, Viktoriia Podryga, Orkhan Rahimly)....Pages 427-434 Converging Shock Wave for Ignition of a Pre-compressed Target of Laser Thermonuclear Fusion (Orkhan Rahimly, Nikolai Zmitrenko, Sergey Guskov)....Pages 435-442 Monte Carlo Solution of Dirichlet Problem for Semi-linear Equation (Abdujabbor Rasulov, Gulnora Raimova, Matyokub Bakoev)....Pages 443-451 Parallel Numerical Method to Estimate the Effective Elastic Moduli of Rock Core Samples from 3D Tomographic Images (Galina Reshetova, Tatiana Khachkova)....Pages 452-460 Integral-Consistent Numerical Technique for Self-gravitating Medium Model (Yu. S. Sharova, Yu. A. Poveshchenko, V. A. Gasilov, N. S. Smirnova, V. O. Podryga)....Pages 461-467 Computation of Mean-Field Equilibria with Correlated Stochastic Processes (V. Shaydurov, S. Zhang, V. Kornienko)....Pages 468-475 Development and Numerical Study of Robust Difference Schemes for a Singularly Perturbed Transport Equation (Lidia Shishkina, Grigorii Shishkin)....Pages 476-483 A High Order Accurate Overlapping Domain Decomposition Method for Singularly Perturbed Reaction-Diffusion Systems (Joginder Singh, Sunil Kumar, Mukesh Kumar)....Pages 484-492 Numerical Experiments for Some Markov Models for Solving Boundary Value Problems (Alexander S. Sipin, Alexander I. Zeifman)....Pages 493-500 Numerical Simulation of Deformations of Basalt Roving (Anastasia V. Sivtseva, Petr V. Sivtsev)....Pages 501-508 A Fractional Diffusion Model with Resetting (Ercília Sousa, Amal K. Das)....Pages 509-516 Generalized Multiscale Finite Element Method for Unsaturated Filtration Problem in Heterogeneous Medium (D. Spiridonov, M. Vasilyeva)....Pages 517-524 A Continuous Model for the Ecological Collapse of Easter Island (Bálint Takács)....Pages 525-532 Solving a Singularly Perturbed Elliptic Problem by a Cascadic Multigrid Algorithm with Richardson Extrapolation (Svetlana Tikhovskaya)....Pages 533-541 Iterative Algorithms for Coupled Physics Electrical Conductivity Imaging (Alex Timonov)....Pages 542-549 Explicit and Conditionally Stable Combined Numerical Method for 1D and 2D Nonlinear Schrödinger Equation (Vyacheslav A. Trofimov, Evgeny M. Trykin)....Pages 550-557 On a Reliable Numerical Method for a Singularly Perturbed Parabolic Reaction-Diffusion Problem in a Doubly Connected Domain (Irina Tselishcheva, Grigorii Shishkin)....Pages 558-565 Generalized Multiscale Finite Element Method for Poroelasticity Problems in Heterogeneous Media (A. Tyrylgin, M. Vasilyeva, D. Brown)....Pages 566-573 Past Surface Temperatures Reconstructed by Inversion of the Measured Borehole Temperature-Depth Profiles in Rock (Sergey A. Tyuflin, Oleg V. Nagornov, Tatiana I. Bukharova)....Pages 574-579 Simulation of Cooling Devices and Effect for Thermal Stabilization of Soil in a Cryolithozone with Anthropogenic Impact (N. A. Vaganova, M. Yu. Filimonov)....Pages 580-587 The Conjugate Gradient Method for the Dirichlet Problem and Its Modifications (V. I. Vasil’ev, A. M. Kardashevsky, V. V. Popov)....Pages 588-595 On a Digital Version of Pseudo-Differential Operators and Its Applications (Vladimir B. Vasilyev)....Pages 596-603 Upscaled Model for Mixed Dimensional Coupled Flow Problem in Fractured Porous Media Using Non-local Multicontinuum (NLMC) Method (Maria Vasilyeva, Eric T. Chung, Yalchin Efendiev, Wing Tat Leung, Yating Wang)....Pages 604-611 Some Features of the Asymptotic-Numerical Method for the Moving Fronts Description in Two-Dimensional Reaction-Diffusion Problems (Vladimir Volkov, Dmitry Lukyanenko)....Pages 612-620 Conservative Semi-Lagrangian Numerical Algorithm with Decomposition of Integration Domain into Tetrahedrons for Three-Dimensional Advection Problem (Alexander Vyatkin, Elena Kuchunova)....Pages 621-629 Numerical Method for Calculating the Pipe Spatial Vibrations (Natalia Yaparova)....Pages 630-637 Finite Difference Computation of a Stochastic Aquaculture Problem Under Incomplete Information (Hidekazu Yoshioka, Kentaro Tsugihashi, Yuta Yaegashi)....Pages 638-645 Asymptotic and Numerical Analysis of Dynamics in a Generalized Free-Interfacial Combustion Model (Jun Yu, Kewang Chen, Laura K. Gross)....Pages 646-653 Analogue of Cubic Spline for Functions with Large Gradients in a Boundary Layer (Alexander Zadorin, Igor’ Blatov)....Pages 654-662 A Family of Optimal Eighth Order Multiple Root Finders with Multivariate Weight Function (Fiza Zafar, Alicia Cordero, Juan Ramon Torregrosa)....Pages 663-669 Multi-step Iterative Algorithm for Mathematical Modeling of Light Bullets in Anisotropic Media (Irina G. Zakharova, Aleksey A. Kalinovich, Maria V. Komissarova, Sergey V. Sazonov)....Pages 670-677 Absolute Stability and Implementation of the Two-Times Repeated Richardson Extrapolation Together with Explicit Runge-Kutta Methods (Zahari Zlatev, Ivan Dimov, István Faragó, Krassimir Georgiev, Ágnes Havasi)....Pages 678-686 Back Matter ....Pages 687-688