Operator Theory and Numerical Methods - Softcover

Fujita, Hiroshi

Softcover

ISBN 10: 0444546731 ISBN 13: 9780444546739

Publisher: North Holland, 2011

Synopsis

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.

Edition details

• Publisher: North Holland
• Publication date: 2011
• Language: English
• ISBN 10: 0444546731
• ISBN 13: 9780444546739
• Binding: Paperback
• Number of pages: 324