Nonlinear partial differential equations in engineering / by W. F. Ames.
Series Mathematics in science and engineering ; 18Editor: New York : Academic Press, 1965-1972Descripción: 2 v. : il. ; 24 cmISBN: 0120567563 (v. 1); 0120567555 (v. 2)Tema(s): Differential equations, Partial | Differential equations, NonlinearOtra clasificación: 35-02 (00A69)1. The origin of nonlinear differential equations2. Transformation and general solutions3. Exact methods of solution4. Further analytic methods5. Approximate methods6. Further approximate methods7. Numerical methods (Parabolic equations, elliptic equations, hyperbolic equations, mixed systems)8. Some theoretical considerationsAppendix: Elements of group theory.
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Instituto de Matemática, CONICET-UNS | Libros ordenados por tema | 35 Am513 (Browse shelf) | Vol. 1 | Available | A-2990 |
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"This book is almost entirely concerned with methods of solution for nonlinear partial differential equations. In particular, it provides a unified treatment of a great variety of procedures ranging in character from the completely analytic to the completely numerical. The exposition is sometimes by means of general theory but more often is largely through examples. These are drawn from a variety of scientific disciplines including fluid mechanics, vibrations, elasticity, diffusion, heat transfer, and plasma physics.''
Incluye referencias bibliográficas.
1. The origin of nonlinear differential equations -- 2. Transformation and general solutions -- 3. Exact methods of solution -- 4. Further analytic methods -- 5. Approximate methods -- 6. Further approximate methods -- 7. Numerical methods (Parabolic equations, elliptic equations, hyperbolic equations, mixed systems) -- 8. Some theoretical considerations -- Appendix: Elements of group theory.
MR, 35 #1235
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