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Operator theory and numerical methods

Author: Hiroshi Fujita; Norikazu Saito; Takashi Suzuki
Publisher: Amsterdam ; London : Elsevier, 2001.
Series: Studies in mathematics and its applications, v. 30
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
In accordance with the developments in computation, theoretical studies on numerical schemes are now fruitful and highly needed. In 1991 an article on the finite element method applied to evolutionary problems was published. Following the method, basically this book studies various schemes from operator theoretical points of view. Many parts are devoted to the finite element method, but other schemes and problems  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Fujita, Hiroshi.
Operator theory and numerical methods.
Amsterdam ; London : Elsevier, 2001
(OCoLC)47063004
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Hiroshi Fujita; Norikazu Saito; Takashi Suzuki
ISBN: 9780444504746 0444504745
OCLC Number: 162578335
Description: 1 online resource (viii, 309 p.) : ill.
Series Title: Studies in mathematics and its applications, v. 30
Responsibility: Hiroshi Fujita, Norikazu Saito and Takashi Suzuki.

Abstract:

In accordance with the developments in computation, theoretical studies on numerical schemes are now fruitful and highly needed. In 1991 an article on the finite element method applied to evolutionary problems was published. Following the method, basically this book studies various schemes from operator theoretical points of view. Many parts are devoted to the finite element method, but other schemes and problems (charge simulation method, domain decomposition method, nonlinear problems, and so forth) are also discussed, motivated by the observation that practically useful schemes have fine mathematical structures and the converses are also true. This book has the following chapters: 1. Boundary Value Problems and FEM. 2. Semigroup Theory and FEM. 3. Evolution Equations and FEM. 4. Other Methods in Time Discretization. 5. Other Methods in Space Discretization. 6. Nonlinear Problems. 7. Domain Decomposition Method.

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