Operator Theory and Numerical Methods

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Applied
Cover of the book Operator Theory and Numerical Methods by H. Fujita, N. Saito, T. Suzuki, Elsevier Science
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Author: H. Fujita, N. Saito, T. Suzuki ISBN: 9780080538020
Publisher: Elsevier Science Publication: July 3, 2001
Imprint: North Holland Language: English
Author: H. Fujita, N. Saito, T. Suzuki
ISBN: 9780080538020
Publisher: Elsevier Science
Publication: July 3, 2001
Imprint: North Holland
Language: English

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.

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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.

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