Evolution problems
著者
書誌事項
Evolution problems
(Mathematical analysis and numerical methods for science and technology / Robert Dautray, Jacques-Louis Lions, v. 5,
Springer-Verlag, c1992-1993
- 1 : gw
- 1 : us
- 2 : gw
- 2 : us
- タイトル別名
-
Analyse mathématique et calcul numérique pour les sciences et les techniques
大学図書館所蔵 全106件
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注記
2: With the collaboration of Claude Bardos ...[et al.]
Includes indexes
内容説明・目次
- 巻冊次
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1 : gw ISBN 9783540502050
内容説明
These 6 volumes - the result of a 10 year collaboration between the authors, two of France's leading scientists and both distinguished international figures - compile the mathematical knowledge required by researchers in mechanics, physics, engineering, chemistry and other branches of application of mathematics for the theoretical and numerical resolution of physical models on computers. Since the publication in 1924 of the "Methoden der mathematischen Physik" by Courant and Hilbert there has been no other comprehensive and up-to-date publication presenting the mathematical in directly implementable form. The advent of large computers has in the meantime revolutionized methods of computation and made this gap in the literature intolerable: the objective of the present work is to fill just this gap. Many phenomena in physical mathematics may be modeled by a system of partial differential equations in distributed systems: a model here means a set of equations, which together with given boundary data and, if the phenomenon is evolving in time, initial data, defines the system.
The advent of high-speed computers has made it possible for the first time to calculate values from models accurately and rapidly. Researchers and engineers thus have a crucial means of using numerical results to modify and adapt arguments and experiments along the way. Every facet of technical and industrial activity has been affected by these developments. Modeling by distributed systems now also supports work in many areas of physics (plasmas, new materials, astrophysics, geophysics), chemistry and mechanics and is finding increasing use in the life sciences.
- 巻冊次
-
2 : gw ISBN 9783540502067
内容説明
This is the final volume of a six-part series which compiles the mathematical knowledge required by researchers in mechanics, physics, engineering, chemistry and other branches of applied mathematics for the theoretical and numerical resolution of physical models on computers.
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