Operator theory and numerical methods
著者
書誌事項
Operator theory and numerical methods
（Studies in mathematics and its applications, v. 30）
North-Holland, 2001
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注記
Includes bibliography (p. 275-302) and index
内容説明・目次
内容説明
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.
目次
1. Elliptic Boundary Value Problems and FEM2. Semigroup Theory and FEM3. Evolution Equations and FEM4. Other Methods in Time Discretization5. Other Methods in Space Discretization6. Nonlinear Problems7. Domain Decomposition Method
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