Mathematical Aspects of Numerical Solution of Hyperbolic Systems

Motivated by a gap between a fast development of numerical methods and achievements in nonlinear mechanics, this work systematizes and gives a scientific instrument to overcome the difficulties inherent in the solution of hyperbolic systems. In addition to those interested the development of numerical methods, Mathematical Aspects of Numerical Solution of Hyperbolic Systems will prove valuable to physicists and engineers who use numerical methods to solve increasingly complicated nonlinear equations.

List of contents

Hyperbolic Systems of Partial Differential Equations. Numerical Solution of Quasi-Linear Hyperbolic Systems. Gas Dynamic Equations. Shallow Water Equations. Magnetohydrodynamic Equations. Solid Dynamics Equation. Nonclassical Discontinuities and Solutions of Hyperbolic Systems.

About the author

Kulikovskii, A.G.; Pogorelov, N.V.; Semenov, A. Yu.

Summary

Presents a comprehensive description of various aspects of problems originating in numerical solution of hyperbolic systems of partial differential equations. This work systematizes methods for overcoming the difficulties inherent in the solution of hyperbolic systems. It is suitable for those interested in the development of numerical methods.

Product details

• Authors: A.G. Kulikovskii, A. G. Kulikovsky, N.V. Pogorelov, Nikolai V. Pogorelov, A. Yu. Semenov
• Publisher: Taylor and Francis
• Languages: English
• Product format: Hardback
• Released: 21.12.2000
• EAN: 9780849306082
• ISBN: 978-0-8493-0608-2
• No. of pages: 554
• Weight: 922 g
• Illustrations: Raster,schwarz-weiss
• Series: Monographs and Surveys in Pure and Applied Mathematics; Monographs and Surveys in Pure and Applied Mathematics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > General, dictionaries; MATHEMATICS / Applied, MATHEMATICS / Linear & Nonlinear Programming, SCIENCE / Mechanics / General, MATHEMATICS / Differential Equations / General, Classical mechanics, Nonlinear science, Differential calculus & equations, Maths for scientists, Differential calculus and equations