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Finite Difference Methods. Theory and Applications

7th International Conference, FDM 2018, Lozenetz, Bulgaria, June 11-16, 2018, Revised Selected Papers

  • Conference proceedings
  • © 2019

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Editors:
  1. Ivan Dimov

    1. IICT, Bulgarian Academy of Sciences, Sofia, Bulgaria

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  2. István Faragó

    1. Eötvös Loránd University, Budapest, Hungary

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  3. Lubin Vulkov

    1. University of Rousse, Rousse, Bulgaria

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Part of the book series: Lecture Notes in Computer Science (LNCS, volume 11386)

Part of the book sub series: Theoretical Computer Science and General Issues (LNTCS)

Included in the following conference series:

Conference proceedings info: FDM 2018.

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Table of contents (80 papers)

  1. Contributed Papers

    1. 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

    2. Efficiency and Stability of a Family of Iterative Schemes for Solving Nonlinear Equations

      • Alicia Cordero, Ivan Giménez, Juan R. Torregrosa
      Pages 185-192

    3. Stability of a Family of Iterative Methods of Fourth-Order

      • Alicia Cordero, Lucía Guasp, Juan R. Torregrosa
      Pages 193-200

    4. Multidimensional Real Dynamics for High-Order Processes

      • Alicia Cordero, Javier G. Maimó, Juan R. Torregrosa, Maria P. Vassileva
      Pages 201-207

    5. 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

    6. 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

    7. 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

    8. Simulation of Influence of Special Regimes of Horizontal Flare Systems on Permafrost

      • M. Yu. Filimonov, N. A. Vaganova
      Pages 233-240

    9. The Method of Fundamental Solutions Combined with a Multi-level Technique

      • Csaba Gáspár
      Pages 241-249

    10. 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

    11. Difference Schemes for the Nonlinear Equations in Partial Derivatives with Heredity

      • T. V. Gorbova, V. G. Pimenov, S. I. Solodushkin
      Pages 258-265

    12. Conservative Finite-Difference Algorithm for the Thermodiffusion Stefan Problem

      • A. Gusev, O. Mazhorova, O. Shcheritsa
      Pages 266-273

    13. On One Method for Solving of a Non-stationary Fluid Flows with Free Surface

      • Valentin A. Gushchin, Vasilii G. Kondakov
      Pages 274-280

    14. 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

    15. Iterative Process for Numerical Recovering the Lowest Order Space-Wise Coefficient in Parabolic Equations

      • D. Kh. Ivanov, P. N. Vabishchevich
      Pages 289-296

    16. P-Thinned Gamma Process and Corresponding Random Walk

      • Pavlina Jordanova, Milan Stehlík
      Pages 297-304

    17. Analytic Theory of Singular Perturbations and Lomov’s Regularization Method

      • Vasiliy I. Kachalov
      Pages 305-312

    18. On Inverse Problem of Determination of the Coefficient in the Black-Scholes Type Equation

      • Vitaly L. Kamynin, Tatiana I. Bukharova
      Pages 313-320

    19. 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

    20. 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
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  1. Finite Difference Methods. Theory and Applications

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About this book

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.

Editors and Affiliations

  • IICT, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Ivan Dimov

  • Eötvös Loránd University, Budapest, Hungary

    István Faragó

  • University of Rousse, Rousse, Bulgaria

    Lubin Vulkov

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