Lung-an Ying

Tony F. Chan

Yunqing Huang

Jinchao Xu

Tao Tang

The book discusses some key scientific and technological developments in computational and applied partial differential equations. It covers many areas of scientific computing, including multigrid methods, image processing, finite element analysis and adaptive computations. It also covers software technology, algorithms and applications. Most papers are of research level, and are contributed by some well-known mathematicians and computer scientists. The book will be useful to engineers, computational scientists and graduate students.

Conference Proceedings for the International Conference Held in Zhangjiajie in July 2001

Recent Progress in Computational and Applied PDES

Jie Shen

Li-Lian Wang

Along with finite differences and finite elements, spectral methods are one of the three main methodologies for solving partial differential equations on computers. This book provides a detailed presentation of basic spectral algorithms, as well as a systematical presentation of basic convergence theory and error analysis for spectral methods. Readers of this book will be exposed to a unified framework for designing and analyzing spectral algorithms for a variety of problems, including in particular high-order differential equations and problems in unbounded domains. The book contains a large number of figures which are designed to illustrate various concepts stressed in the book. A set of basic matlab codes has been made available online to help the readers to develop their own spectral codes for their specific applications.

Algorithms, Analysis and Applications

Spectral Methods

Chi-Wang Shu

Stanley Osher

S.-Y. Cheng

The volume is from the proceedings of the international conference held in celebration of Stanley Osher's sixtieth birthday. It presents recent developments and exciting new directions in scientific computing and partial differential equations for time dependent problems and their interplay with other fields, such as image processing, computer vision and graphics. Over the past decade, there have been very rapid developments in the field. This volume emphasizes the strong interaction of advanced mathematics with real-world applications and algorithms. The book is suitable for graduate students and research mathematicians interested in scientific computing and partial differential equations.

International Conference on the Occasion of Stanley Osher's 60th Birthday, December 12-15, 2002, Hong Kong Baptist University, Hong Kong

Recent Advances in Scientific Computing and Partial Differential Equations

Tao Tang

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