Mathematical aspects of numerical solution of hyperbolic systems / Andrei G. Kulikovskii, Nikolai V. Pogorelov, Andrei Yu. Semenov.

Format:

Book

Author/Creator:

Kulikovskiĭ, A. G. (Andreĭ Gennadievich)

Contributor:

Pogorelov, Nikolai V.

Semenov, A. Yu. (Andrei Yurievich), 1955-

Series:

Chapman & Hall/CRC monographs and surveys in pure and applied mathematics ; 118.

Chapman & Hall/CRC monographs and surveys in pure and applied mathematics ; 118

Language:

English

Subjects (All):

Differential equations, Hyperbolic--Numerical solutions.

Differential equations, Hyperbolic.

Physical Description:

xiii, 540 pages : illustrations ; 25 cm.

Place of Publication:

Boca Raton : Chapman & Hall/CRC, 2001.

Summary:

This important new book sets forth a comprehensive description of various mathematical aspects of problems originating in numerical solution of hyperbolic systems of partial differential equations. The authors present the material in the context of the important mechanical applications of such systems, including the Euler equations of gas dynamics, magnetohydrodynamics (MHD), shallow water, and solid dynamics equations. This treatment provides -- for the first time in book form -- a collection of recipes for applying higher-order non-oscillatory shock-capturing schemes to MHD modelling of physical phenomena.

Notes:

Includes bibliographical references and index.

ISBN:

0849306086

OCLC:

45223521