High order difference methods for time dependent PDE
By: Bertil Gustafsson
Series: Springer series in computational mathematics -- 38; Springer series in computational mathematics -- 38.
Publisher: Springer
Published: 2008
Place of publication: Berlin
Language: eng
Number of pages: 334
ISBN-13: 9783540749929
Subjects: Finite differences; Solutions numériques; Différences finies; Zeitabhängigkeit; Partial Differential equations; Análise numérica; Numerical solutions; Équations aux dérivées partielles; Differenzenverfahren; Partielle Differentialgleichung
Description: "The subject of this book is high order finite difference methods for time dependent PDE. The idea is to give an overview of the basic theory and construction principles by using model examples. The book also contains a general presentation of the techniques and results for well-posedness and stability, with inclusion of the three fundamental methods of analysis both for PDE in its original and discretized form: the Fourier transform, the energy method and the Laplace transform. Various types of wave propagation problems are treated in specific detail since high order methods are particularly effective for these problems."--BOOK JACKET.
Notes: Includes bibliographical references (p. 325-330).