- xiii, 364 p. : ill. ; 25 cm. + 1 CD-ROM (4 3/4 in.).
- Additional Authors
- Chen, Yi-Tung.
- "A Chapman & Hall book.""Requiring only some knowledge of computer programming, advanced calculus, and difference equations, the book includes practical examples, exercises, references, and problems. The accompanying CD-ROM contains MATLAB source code, enabling readers to easily modify or improve the codes to solve their own problems."--BOOK JACKET.Contents: 1. Brief Overview of Partial Differential Equations -- 2. Finite Difference Methods for Parabolic Equations -- 3. Finite Difference Methods for Hyperbolic Equations -- 4. Finite Difference Methods for Elliptic Equations -- 5. High-Order Compact Difference Methods -- 6. Finite Element Methods: Basic Theory -- 7. Finite Element Methods: Programming -- 8. Mixed Finite Element Methods -- 9. Finite Element Methods for Electromagnetics -- 10. Meshless Methods with Radial Basis Functions -- 11. Other Meshless Methods -- Appendix A. Answers to Selected Problems.Includes bibliographical references and index.Summary: "This concise yet solid introduction introduces several major numerical methods for solving various partial differential equations (PDEs) in science and engineering, including elliptic, parabolic, and hyperbolic equations. It covers traditional techniques that include the classic finite difference method and the finite element method as well as state-of-the-art numerical methods, such as the high-order compact difference method and the radial basis function meshless method." "The authors uniquely emphasize both theoretical numerical analysis and practical implementation of the algorithms in MATLAB, making the book useful for readers interested in computational science and engineering. They provide simple, clear implementations instead of sophisticated usages of MATLAB functions.".