Partial differential equations of applied mathematics
著者
書誌事項
Partial differential equations of applied mathematics
（Pure and applied mathematics）
Wiley, c1989
2nd ed
- : pbk
大学図書館所蔵 全53件
注記
"A Wiley-Interscience publication"
Bibliography: p. 840-844
Includes index
内容説明・目次
内容説明
This revised and expanded comprehensive second edition discusses mathematical models that give rise to PDEs, classifies the equations and problems into different types, and examines exact and approximate methods for solution of these problems. The book addresses problems that involve both linear and nonlinear equations of the three basic types: parabolic, hyperbolic and elliptic. The coverage ranges from solution methods for first-order PDEs to perturbation and asymptotic methods for solving linear and nonlinear higher order equations. The book also includes a substantial number of new exercises and examples, with many answers. Furthermore, the chapter order is flexible enough to be used for full-year or one-term courses. The previous edition of this book was published in 1983.
目次
- Random walks and partial differential equations
- first order partial differential equations
- classification of equations and characteristics
- initial and boundary value problems in bounded regions
- integral transforms
- integral relations
- Green's functions
- variational and other methods
- perturbation methods
- asymptotic methods.
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