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7th FDM 2018: Lozenetz, Bulgaria
- Ivan Dimov, István Faragó, Lubin G. Vulkov:

Finite Difference Methods. Theory and Applications - 7th International Conference, FDM 2018, Lozenetz, Bulgaria, June 11-16, 2018, Revised Selected Papers. Lecture Notes in Computer Science 11386, Springer 2019, ISBN 978-3-030-11538-8
Invited Papers
- Joël Chaskalovic

, Franck Assous:
From a Geometrical Interpretation of Bramble-Hilbert Lemma to a Probability Distribution for Finite Element Accuracy. 3-14 - Hu Chen, Martin Stynes:

A High Order Method on Graded Meshes for a Time-Fractional Diffusion Problem. 15-27 - Alexander G. Churbanov

, Petr N. Vabishchevich:
Numerical Solving a Boundary Value Problem for the Eikonal Equation. 28-34 - Jürgen Geiser:

Iterative Semi-implicit Splitting Methods for Stochastic Chemical Kinetics. 35-47 - Lidiya Gileva

, Evgeniya Karepova
, Vladimir Shaydurov
:
The Application of a Special Hermite Finite Element Coupled with Collocation to the Diffusion Equation. 48-59 - Wen Li, Song Wang

:
A 2nd-Order Numerical Scheme for Fractional Ordinary Differential Equation Systems. 60-71 - Dmitry Lukyanenko

, Nikolay N. Nefedov:
Blow-Up of Fronts in Burgers Equation with Nonlinear Amplification: Asymptotics and Numerical Diagnostics. 72-79 - Grigorii I. Shishkin

, Lidia P. Shishkina
:
Improved Computer Scheme for a Singularly Perturbed Parabolic Convection-Diffusion Equation. 80-91 - Milan Stehlík

, Jean Paul Maidana
, Claudia Navarro Villarroel, Maritza Sepúlveda
, Doris Oliva
:
On Ignorance Regions and Spatial Aspects for South American sea lion (Otaria byronia) Operational Interaction with the Artisan Gillnet Fishery in Chile. 92-101 - Hidekazu Yoshioka, Yuta Yaegashi:

Finite Difference Scheme for Stochastic Differential Games with Several Singular Control Variables and Its Environmental Application. 102-113 - Zahari Zlatev

, Ivan Dimov, István Faragó
, Krassimir Georgiev
, Ágnes Havasi
:
Stability Properties of Repeated Richardson Extrapolation Applied Together with Some Implicit Runge-Kutta Methods. 114-125
Contributed Papers
- Tatiana A. Akimenko, Ekaterina Filippova:

Computer Modeling of Control the Thermal Imaging System Surveillance. 129-136 - Valentin Alekseev

, Aleksey Tyrylgin
, Maria V. Vasilyeva
:
Generalized Multiscale Finite Element Method for Elasticity Problem in Fractured Media. 137-144 - Alexander V. Avvakumov, Valery F. Strizhov, Petr N. Vabishchevich, Alexander O. Vasilev:

Automatic Time Step Selection for Numerical Solution of Neutron Diffusion Problems. 145-152 - Ramandeep Behl

, Eulalia Martínez, Fabricio Cevallos, Ali Saleh Alshomrani:
Local Convergence Results for an Optimal Iterative Method for Multiple Roots. 153-158 - Alexandru Mihai Bica

, Mircea Curila
, Sorin Curila
:
Spline Iterative Method for Pantograph Type Functional Differential Equations. 159-166 - S. V. Bogomolov, N. B. Esikova, Artem E. Kuvshinnikov

, P. N. Smirnov:
On Gas Dynamic Hierarchy. 167-174 - S. Chandra Sekhara Rao, Sheetal Chawla:

The Error Analysis of Finite Difference Approximation for a System of Singularly Perturbed Semilinear Reaction-Diffusion Equations with Discontinuous Source Term. 175-184 - Alicia Cordero

, Ivan Giménez, Juan R. Torregrosa
:
Efficiency and Stability of a Family of Iterative Schemes for Solving Nonlinear Equations. 185-192 - Alicia Cordero

, Lucia Guasp, Juan R. Torregrosa
:
Stability of a Family of Iterative Methods of Fourth-Order. 193-200 - Alicia Cordero

, Javier García-Maimó
, Juan R. Torregrosa
, María P. Vassileva
:
Multidimensional Real Dynamics for High-Order Processes. 201-207 - Alicia Cordero

, Javier García-Maimó
, Juan R. Torregrosa
, María P. Vassileva
:
Bi-parametric Family of Methods with Memory Based of Ostrowski-Chun Method. 208-215 - Marina A. Davydova

, Nikolay N. Nefedov
, S. A. Zakharova
:
Asymptotically Lyapunov-Stable Solutions with Boundary and Internal Layers in the Stationary Reaction-Diffusion-Advection Problems with a Small Transfer. 216-224 - Nadezhda Fialko

, Victor D. Lakhno
:
Numerical Modeling of the Charge Transfer Along 1D Molecular Chain "Donor-Bridge-Acceptor" at T = 300 K. 225-232 - Mikhail Yu. Filimonov

, Nataliia A. Vaganova
:
Simulation of Influence of Special Regimes of Horizontal Flare Systems on Permafrost. 233-240 - Csaba Gáspár:

The Method of Fundamental Solutions Combined with a Multi-level Technique. 241-249 - Uigulaana Gavrileva

, Valentin Alekseev
, Maria V. Vasilyeva
, Jonas D. De Basabe
, Yalchin Efendiev
, Richard L. Gibson Jr.
:
Generalized Multiscale Discontinuous Galerkin Method for Helmholtz Problem in Fractured Media. 250-257 - T. V. Gorbova, Vladimir G. Pimenov, Svyatoslav I. Solodushkin:

Difference Schemes for the Nonlinear Equations in Partial Derivatives with Heredity. 258-265 - Andrey Gusev

, O. S. Mazhorova, O. V. Shcheritsa:
Conservative Finite-Difference Algorithm for the Thermodiffusion Stefan Problem. 266-273 - Valentin A. Gushchin, Vasilii G. Kondakov:

On One Method for Solving of a Non-stationary Fluid Flows with Free Surface. 274-280 - I. F. Iumanova, Svyatoslav I. Solodushkin:

The Third Order Iterative Method for Solving Nonlinear Parabolic Equations and Its Application to the Biological Tissues Models. 281-288 - D. Kh. Ivanov

, Petr N. Vabishchevich:
Iterative Process for Numerical Recovering the Lowest Order Space-Wise Coefficient in Parabolic Equations. 289-296 - Pavlina Jordanova

, Milan Stehlík:
P-Thinned Gamma Process and Corresponding Random Walk. 297-304 - Vasiliy I. Kachalov

:
Analytic Theory of Singular Perturbations and Lomov's Regularization Method. 305-312 - Vitaly L. Kamynin, Tatiana I. Bukharova:

On Inverse Problem of Determination of the Coefficient in the Black-Scholes Type Equation. 313-320 - Yuri N. Karamzin

, Tatiana A. Kudryashova
, Sergey V. Polyakov, Viktoriia O. Podryga
:
Finite Difference Schemes on Locally Refined Cartesian Grids for the Solution of Gas Dynamic Problems on the Basis of Quasigasdynamics Equations. 321-328 - Wojciech M. Kempa:

Time to Start a Crowded Period in a Finite-Buffer Queue with Poisson Input Flow and General Processing Times. 329-336 - Miglena N. Koleva

, Lubin G. Vulkov:
Two-Grid Newton Algorithms for a System of Heat Conducting Gas Equations. 337-345 - Aigul Manapova

:
On Convergence of Difference Approximations of Extremum Problems Described by Elliptic Equations with Unbounded Nonlinearity. 346-353 - Miklós E. Mincsovics:

Spijker's Example and Its Extension. 354-361 - Mikhail Novikov

, Vadim V. Lisitsa
, Tatiana Khachkova
:
Numerical Estimation of Seismic Wave Attenuation in Fractured Porous Fluid-Saturated Media. 362-369 - Baver Okutmustur

:
Relativistic Burgers Models on Curved Background Geometries. 370-377 - Alexey Penenko

, Vladimir Penenko
, Elena Tsvetova
, Zhadyra Mukatova
:
Consistent Discrete-Analytical Schemes for the Solution of the Inverse Source Problems for Atmospheric Chemistry Models with Image-Type Measurement Data. 378-386 - Viktoriia O. Podryga

, Sergey V. Polyakov:
Multiscale Mathematical Modeling of the Metal Nanoparticles Motion in a Gas Flow. 387-394 - Igor V. Popov, Yu. A. Poveshchenko

, Sergey V. Polyakov
:
Construction of Higher-Order Approximation Difference Scheme for Nonlinear Convection-Diffusion Equation Using Adaptive Artificial Viscosity in Case of Two-Phase Filtering Problems. 395-402 - Yury Poveshchenko

, Viktoriia O. Podryga
, Parvin I. Rahimly
:
About Free-Volumetric Approximation of a Piezoconductive Medium with Gas Hydrate Inclusions. 403-410 - Yu. A. Poveshchenko

, Parvin I. Rahimly
, I. V. Gasilova, G. I. Kazakevich, Yu. S. Sharova, Viktoriia O. Podryga
, S. B. Popov:
Modeling of Fluidodynamic Processes in a Porous Medium with Gashydrate Deposits. 411-418 - Ludmila A. Prokudina:

Nonlinear Differential Equation of the Surface Section of Gas-Liquid. 419-426 - Parvin I. Rahimly

, Yury Poveshchenko
, Viktoriia O. Podryga
, Orkhan Rahimly
:
Completely Conservative Difference Schemes for Simultaneous Calculations of Thawed Hydrated Zone and Piezoconductive Medium with Gas Hydrate Inclusions. 427-434 - Orkhan Rahimly

, Nikolai Zmitrenko, Sergey Guskov:
Converging Shock Wave for Ignition of a Pre-compressed Target of Laser Thermonuclear Fusion. 435-442 - Abdujabor Rasulov

, Gulnora Raimova
, Matyokub Bakoev:
Monte Carlo Solution of Dirichlet Problem for Semi-linear Equation. 443-451 - Galina V. Reshetova

, Tatiana Khachkova
:
Parallel Numerical Method to Estimate the Effective Elastic Moduli of Rock Core Samples from 3D Tomographic Images. 452-460 - Yu. S. Sharova, Yu. A. Poveshchenko

, Vladimir A. Gasilov, N. S. Smirnova, Viktoriia O. Podryga
:
Integral-Consistent Numerical Technique for Self-gravitating Medium Model. 461-467 - Vladimir Shaydurov, Shuhua Zhang

, Viktoria S. Kornienko:
Computation of Mean-Field Equilibria with Correlated Stochastic Processes. 468-475 - Lidia P. Shishkina

, Grigorii I. Shishkin
:
Development and Numerical Study of Robust Difference Schemes for a Singularly Perturbed Transport Equation. 476-483 - Joginder Singh

, Sunil Kumar
, Mukesh Kumar:
A High Order Accurate Overlapping Domain Decomposition Method for Singularly Perturbed Reaction-Diffusion Systems. 484-492 - Alexander Sipin, Alexander I. Zeifman:

Numerical Experiments for Some Markov Models for Solving Boundary Value Problems. 493-500 - Anastasia V. Sivtseva, Petr V. Sivtsev:

Numerical Simulation of Deformations of Basalt Roving. 501-508 - Ercília Sousa, Amal K. Das:

A Fractional Diffusion Model with Resetting. 509-516 - Denis Spiridonov

, Maria V. Vasilyeva
:
Generalized Multiscale Finite Element Method for Unsaturated Filtration Problem in Heterogeneous Medium. 517-524 - Bálint Takács

:
A Continuous Model for the Ecological Collapse of Easter Island. 525-532 - Svetlana Tikhovskaya

:
Solving a Singularly Perturbed Elliptic Problem by a Cascadic Multigrid Algorithm with Richardson Extrapolation. 533-541 - Alex Timonov:

Iterative Algorithms for Coupled Physics Electrical Conductivity Imaging. 542-549 - Vyacheslav A. Trofimov

, Evgeny M. Trykin
:
Explicit and Conditionally Stable Combined Numerical Method for 1D and 2D Nonlinear Schrödinger Equation. 550-557 - Irina V. Tselishcheva

, Grigorii I. Shishkin
:
On a Reliable Numerical Method for a Singularly Perturbed Parabolic Reaction-Diffusion Problem in a Doubly Connected Domain. 558-565 - Aleksey Tyrylgin

, Maria V. Vasilyeva
, Donald L. Brown
:
Generalized Multiscale Finite Element Method for Poroelasticity Problems in Heterogeneous Media. 566-573 - Sergey A. Tyuflin, Oleg V. Nagornov

, Tatiana I. Bukharova:
Past Surface Temperatures Reconstructed by Inversion of the Measured Borehole Temperature-Depth Profiles in Rock. 574-579 - Nataliia A. Vaganova

, Mikhail Yu. Filimonov
:
Simulation of Cooling Devices and Effect for Thermal Stabilization of Soil in a Cryolithozone with Anthropogenic Impact. 580-587 - V. I. Vasil'ev, A. M. Kardashevsky, V. V. Popov:

The Conjugate Gradient Method for the Dirichlet Problem and Its Modifications. 588-595 - Vladimir Vasilyev

:
On a Digital Version of Pseudo-Differential Operators and Its Applications. 596-603 - Maria V. Vasilyeva

, Eric T. Chung, Yalchin Efendiev, Wing Tat Leung, Yating Wang:
Upscaled Model for Mixed Dimensional Coupled Flow Problem in Fractured Porous Media Using Non-local Multicontinuum (NLMC) Method. 604-611 - Vladimir Volkov

, Dmitry Lukyanenko
:
Some Features of the Asymptotic-Numerical Method for the Moving Fronts Description in Two-Dimensional Reaction-Diffusion Problems. 612-620 - Alexander V. Vyatkin, Elena Kuchunova:

Conservative Semi-Lagrangian Numerical Algorithm with Decomposition of Integration Domain into Tetrahedrons for Three-Dimensional Advection Problem. 621-629 - Natalia M. Yaparova

:
Numerical Method for Calculating the Pipe Spatial Vibrations. 630-637 - Hidekazu Yoshioka, Kentaro Tsugihashi, Yuta Yaegashi:

Finite Difference Computation of a Stochastic Aquaculture Problem Under Incomplete Information. 638-645 - Jun Yu, Kewang Chen, Laura K. Gross:

Asymptotic and Numerical Analysis of Dynamics in a Generalized Free-Interfacial Combustion Model. 646-653 - Alexander Zadorin

, Igor A. Blatov
:
Analogue of Cubic Spline for Functions with Large Gradients in a Boundary Layer. 654-662 - Fiza Zafar

, Alicia Cordero, Juan R. Torregrosa:
A Family of Optimal Eighth Order Multiple Root Finders with Multivariate Weight Function. 663-669 - Irina G. Zakharova, Aleksey A. Kalinovich

, Maria V. Komissarova, Sergey V. Sazonov:
Multi-step Iterative Algorithm for Mathematical Modeling of Light Bullets in Anisotropic Media. 670-677 - Zahari Zlatev

, Ivan Dimov, István Faragó
, Krassimir Georgiev
, Ágnes Havasi
:
Absolute Stability and Implementation of the Two-Times Repeated Richardson Extrapolation Together with Explicit Runge-Kutta Methods. 678-686

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