This book covers high order finite difference methods for time dependent PDE. It gives 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 eneregy method and the Laplace transform.
Format: Hardback
CONTRIBUTORS: Bertil Gustafsson
EAN: 9783540749929
COUNTRY: Germany
PAGES:
WEIGHT: 694 g
HEIGHT: 235 cm
PUBLISHED BY: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
DATE PUBLISHED: 2007-12-07
CITY:
GENRE: MATHEMATICS / Counting & Numeration, MATHEMATICS / Differential Equations / General
WIDTH: 155 cm
SPINE:
Book Themes:
Differential calculus and equations, Numerical analysis
From the reviews:
"This book presents the theory and construction principles of high order finite difference methods (FDM) for numerical solving of time dependent partial differential equations. … Many types of finite difference schemes are completely studied and numerical experiments and graphs are presented. … The book is written in a clear and comprehensive manner. It is recommended to researchers, PD students and readers interested in effective methods for numerical solving of partial differential equations." (Snezhana Gocheva-Ilieva, Zentralblatt MATH, Vol. 1146, 2008)
