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Synopsis
This textbook 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. Helps Students Better Understand Numerical Methods through Use of MATLAB(R) 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. All the Material Needed for a Numerical Analysis Course Based on the authors' own courses, the text only requires some knowledge of computer programming, advanced calculus, and difference equations. It includes practical examples, exercises, references, and problems, along with a solutions manual for qualifying instructors.Students can download MATLAB code from crcpress, enabling them to easily modify or improve the codes to solve their own problems.
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Review
The edition can be surely considered as a successful textbook to study advanced numerical methods for partial differential equations.
―Ivan Secrieru (Chişinău), Zentralblatt Math, 1175
Synopsis
This is a concise yet solid introduction to advanced numerical methods. This textbook 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 students better 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 computer programming, 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."About this title" may belong to another edition of this title.
- PublisherChapman and Hall/CRC
- Publication date2008
- ISBN 10 1420089048
- ISBN 13 9781420089042
- BindingHardcover
- Edition number1
- Number of pages378
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