Introduction to partial differential equations : a computational approach
著者
書誌事項
Introduction to partial differential equations : a computational approach
（Texts in applied mathematics, 29）
Springer, c2005
Corr. 2nd print
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注記
Includes bibliographical references (p. [385]-387) and index
" ISBN 0-387-98327-9 First edition Springer New York Berlin Heidelberg 1998" --T.p. verso
内容説明・目次
内容説明
This book teaches basic methods of partial differential equations and introduces related important ideas associated with the analysis of numerical methods for those partial differential equations. Coverage details such topics as separation of variables, Fourier analysis, maximum principles, and energy estimates. The book introduces numerical methods in parallel to the classical theory and also includes many engaging exercises.
目次
Setting the Scene.- Two-Point Boundary Value Problems.- The Heat Equation.- Finite Difference Schemes for the Heat Equation.- The Wave Equation.- Maximum Principles.- Poisson's Equation in Two Space Dimensions.- Orthogonality and General Fourier Series.- Convergence of Fourier Series.- The Heat Equation Revisited.- Reaction-Diffusion Equations.- Applications of the Fourier Transform.
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