Operator theory and numerical methods (Q2730413)
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scientific article; zbMATH DE number 1631251
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Operator theory and numerical methods |
scientific article; zbMATH DE number 1631251 |
Statements
7 August 2001
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elliptic boundary value problems
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parabolic initial-boundary value problems
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finite elements methods
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boundary elements methods
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resolvent of operators
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single-step methods
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multi-step methods
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domain decomposition
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textbook
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Operator theory and numerical methods (English)
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The rough contents of this remarkable book are as follows: 1. Elliptic boundary value problems and finite element methods (FEMs), 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, Bibliography (421 entries), an Index and a Preface. NEWLINENEWLINENEWLINEThe authors provide a very sharp theoretical study of numerical methods used to solve partial differential equations of elliptic and parabolic type. Every numerical scheme is thoroughly dissected. As a whole, everything fits together in a harmonious way. However, a fairly solid background of functional and numerical analysis is supposed when this book is effectively used.
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