| Description |
1 online resource (378 pages) |
| Contents |
Intro -- Preface -- Contents -- Determination of Discontinuity Surfaces of Transport Equation Coefficients -- 1 Introduction -- 2 Direct Problem -- 3 Inverse Problem -- References -- Nonlocal Problems of Asymptotic Methods of Perturbation Theory -- 1 Motivation of the Problem -- 2 The Idea of Modifying the Averaging Method -- References -- Numerical Solution of the Axisymmetric Dirichlet-Neumann Problem for Laplace's Equation (Algorithms Without Saturation) -- 1 Introduction -- 2 Statement of the Problem -- 3 Discretization of Eq.(1) and the Statement of the Result -- References |
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Contributions to the Mathematical Technology Transfer with Finite Volume Methods -- 1 Environmental Shallow Water Flows -- 2 Low Mach Number Flows -- 3 Gas Flow in Transport Networks -- References -- An Easy Control of the Artificial Numerical Viscosity to Get Discrete Entropy Inequalities When Approximating Hyperbolic Systems of Conservation Laws -- 1 Main Motivations -- 2 Godunov-type Scheme with Artificial Viscosity -- 3 Discrete Entropy Inequality -- 4 Numerical Results -- References -- Development of the Matrix Spectrum Dichotomy Method |
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1 Contradictions Between the Classical Spectral Problem and Applied Problems -- 2 New Statement of the Problem -- 3 Base Algorithms -- 4 Dichotomy Relative to the Second-Order Curves -- 5 Applications -- 6 Conclusion -- References -- MHD Model of an Incompressible Polymeric Fluid. Stability of the Poiseuille Type Flow -- 1 Introduction -- 2 Nonlinear Model of the Polymeric Fluid Flow in a Plane Channel Under the Presence of an External Magnetic Field -- 3 Periodic Perturbations. Formulation of Main Results -- References |
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Mathematical Models of Plasma Acceleration and Compression in Coaxial Channels -- 1 Introduction -- 2 Mathematical Model -- 3 Plasma Acceleration in Presence of Longitudinal Magnetic Field -- 4 Compression Plasma Flows in the Channels -- References -- Pseudospectrum and Different Quality of Stability Parameters -- 1 Floating-Point Arithmetic -- 2 Pseudospectrum and Spectral Portrait of a Matrix -- 3 Hurwitz Stability Problem -- 4 Schur Stability Problem -- References -- Well-Balanced High-Order Methods for Systems of Balance Laws -- 1 Introduction |
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2 Well-Balanced High-Order Finite Volume Scheme -- 3 Well-Balanced Reconstruction Operators -- 4 An Example -- 5 Further Comments -- References -- An All-Regime and Well-Balanced Lagrange-Projection Scheme for the Shallow Water Equations on Unstructured Meshes -- 1 Governing Equations and Asymptotic Limit -- 2 Acoustic-Transport Decomposition and Algorithm -- 3 Numerical Experiments -- References -- On the Dynamics of a Free Surface that Limits the Final Mass of a Self-Gravitating Gas -- 1 Formulation of the Problem |
| Summary |
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 |
| Notes |
2 The Existence and Uniqueness Theorem for the Solution of the Cauchy Problem for an Integral Equation of Volterra Type |
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Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force. WlAbNL |
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Print version record |
| Subject |
Continuum mechanics.
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Mathematics.
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Computer science -- Mathematics.
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Mathematics
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Computer science -- Mathematics
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Continuum mechanics
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Mathematics
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| Genre/Form |
Electronic books
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Festschriften
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Festschriften.
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| Form |
Electronic book
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| Author |
Demidenko, Gennadii V
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Romenskii, Evgenii I.
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Toro, E. F.
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Dumbser, Michael
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| ISBN |
9783030388706 |
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3030388700 |
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