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Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy

A Liber Amicorum to Professor Godunov

  • Book
  • © 2020

Overview

Editors:
  1. Gennadii V. Demidenko

    1. Sobolev Institute of Mathematics, Novosibirsk, Russia

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  2. Evgeniy Romenski

    1. Sobolev Institute of Mathematics, Novosibirsk, Russia

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  3. Eleuterio Toro

    1. Laboratory of Applied Mathematics, DICAM, University of Trento, Trento, Italy

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  4. Michael Dumbser

    1. Department of Civil, Environmental and Mechanical Engineering, University of Trento, Trento, Italy

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  • Includes applications of mathematics in continuum mechanics

  • Covers differential and difference equations, equations of mathematical physics, and difference schemes

  • Gathers a range of contributions written in honor of Sergei Konstantinovich Godunov

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Table of contents (52 chapters)

  1. Front Matter

    Pages i-xiii
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  2. Determination of Discontinuity Surfaces of Transport Equation Coefficients

    • E. Yu. Balakina
    Pages 1-6

  3. Nonlocal Problems of Asymptotic Methods of Perturbation Theory

    • V. S. Belonosov
    Pages 7-12

  4. Numerical Solution of the Axisymmetric Dirichlet–Neumann Problem for Laplace’s Equation (Algorithms Without Saturation)

    • V. N. Belykh
    Pages 13-20

  5. Contributions to the Mathematical Technology Transfer with Finite Volume Methods

    • A. Bermúdez, S. Busto, L. Cea, M. E. Vázquez-Cendón
    Pages 21-27

  6. An Easy Control of the Artificial Numerical Viscosity to Get Discrete Entropy Inequalities When Approximating Hyperbolic Systems of Conservation Laws

    • Christophe Berthon, Arnaud Duran, Khaled Saleh
    Pages 29-36

  7. Development of the Matrix Spectrum Dichotomy Method

    • Elina A. Biberdorf
    Pages 37-43

  8. MHD Model of an Incompressible Polymeric Fluid. Stability of the Poiseuille Type Flow

    • A. M. Blokhin, D. L. Tkachev
    Pages 45-51

  9. Mathematical Models of Plasma Acceleration and Compression in Coaxial Channels

    • K. V. Brushlinskii, E. V. Stepin
    Pages 53-59

  10. Pseudospectrum and Different Quality of Stability Parameters

    • H. Bulgak
    Pages 61-67

  11. Well-Balanced High-Order Methods for Systems of Balance Laws

    • Manuel J. Castro, Carlos Parés
    Pages 69-75

  12. An All-Regime and Well-Balanced Lagrange-Projection Scheme for the Shallow Water Equations on Unstructured Meshes

    • Christophe Chalons, Samuel Kokh, Maxime Stauffert
    Pages 77-83

  13. On the Dynamics of a Free Surface that Limits the Final Mass of a Self-Gravitating Gas

    • N. P. Chuev
    Pages 85-91

  14. Exponential Stability of Solutions to Delay Difference Equations with Periodic Coefficients

    • G. V. Demidenko, D. Sh. Baldanov
    Pages 93-100

  15. On Estimates of Solutions to One Class of Functional Difference Equations with Periodic Coefficients

    • G. V. Demidenko, I. I. Matveeva
    Pages 101-109

  16. Integral Operators at Settings and Investigations of Tensor Tomography Problems

    • Evgeny Derevtsov, Yuriy Volkov, Thomas Schuster
    Pages 111-117

  17. Lagrangian Godunov Schemes

    • Bruno Després
    Pages 119-124

  18. On Numerical Methods for Hyperbolic PDE with Curl Involutions

    • M. Dumbser, S. Chiocchetti, I. Peshkov
    Pages 125-134

  19. Modeling Sodium Combustion with Liquid Water

    • Damien Furfaro, Richard Saurel, Lucas David, François Beauchamp
    Pages 135-143

  20. Geodesic Mesh MHD: A New Paradigm for Computational Astrophysics and Space Physics Applied to Spherical Systems

    • Sudip K. Garain, Dinshaw S. Balsara, Vladimir Florinski
    Pages 145-151
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Keywords

About this book

This book is a liber amicorum to Professor Sergei Konstantinovich Godunov and gathers contributions by renowned scientists in honor of his 90th birthday. The contributions address those fields that Professor Godunov is most famous for: differential and difference equations, partial differential equations, equations of mathematical physics, mathematical modeling, difference schemes, advanced computational methods for hyperbolic equations, computational methods for linear algebra, and mathematical problems in continuum mechanics. 

Editors and Affiliations

  • Sobolev Institute of Mathematics, Novosibirsk, Russia

    Gennadii V. Demidenko, Evgeniy Romenski

  • Laboratory of Applied Mathematics, DICAM, University of Trento, Trento, Italy

    Eleuterio Toro

  • Department of Civil, Environmental and Mechanical Engineering, University of Trento, Trento, Italy

    Michael Dumbser

Bibliographic Information

  • Book Title: Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy

  • Book Subtitle: A Liber Amicorum to Professor Godunov

  • Editors: Gennadii V. Demidenko, Evgeniy Romenski, Eleuterio Toro, Michael Dumbser

  • DOI: https://doi.org/10.1007/978-3-030-38870-6

  • Publisher: Springer Cham

  • eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)

  • Copyright Information: Springer Nature Switzerland AG 2020

  • Hardcover ISBN: 978-3-030-38869-0Published: 04 April 2020

  • Softcover ISBN: 978-3-030-38872-0Published: 04 April 2021

  • eBook ISBN: 978-3-030-38870-6Published: 03 April 2020

  • Edition Number: 1

  • Number of Pages: XIII, 398

  • Number of Illustrations: 14 b/w illustrations, 25 illustrations in colour

  • Topics: Mathematical Methods in Physics, Partial Differential Equations, Solid Mechanics, Characterization and Evaluation of Materials

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