Computational partial differential equations using MATLAB

This is a concise yet solid introduction to advanced numerical methods. Thistextbook 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.It helps studentsbetter understand the numerical methods through the use of MATLAB[registered]. The authors uniquely emphasize both theoretical numerical analysis and practical implementation of the algorithms in MATLAB, making the book useful for students in computational science and engineering. They provide students with simple, clear implementations instead of sophisticated usages of MATLAB functions. It includes all the material needed for a numerical analysis course. Based on the authors' own courses, the text only requires some knowledge of computerprogramming, advanced calculus, and difference equations. It includes practical examples, exercises, references, and problems, along with a solutions manual for qualifying instructors. The accompanying CD-ROM contains MATLAB source code, enabling students to easily modify or improve the codes to solve their own problems. INDICE: Brief Overview of Partial Differential Equations. Finite Difference Methods for Parabolic Equations. Finite Difference Methods for Hyperbolic Equations. Finite Difference Methods for Elliptic Equations. High-Order Compact Difference Methods. Finite Element Methods: Basic Theory. Finite Element Methods: Programming. Mixed Finite Element Methods. Finite Element Methods for Electromagnetics. Meshless Methods with Radial Basis Functions. Other Meshless Methods. Answers to Selected Problems. Index.

• ISBN: 978-1-4200-8904-2
• Editorial: Chapman & Hall/CRC Statistics and Mathematics
• Encuadernacion: Rústica
• Páginas: 384
• Fecha Publicación: 26/09/2008
• Nº Volúmenes: 1
• Idioma: Inglés