Partial Differential Equations of EvolutionThis introductory text on hyperbolic and parabolic equations is written for practising engineers. Assuming only a basic knowledge of differential and integral calculus, the equations studied are physically motivated and interpreted. |
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Obsah
Preface | 7 |
First order equations | 35 |
Second order hyperbolic equations | 99 |
Autorská práva | |
Další části 8 nejsou zobrazeny.
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Answer applied arbitrary assume assumptions boundary conditions bounded called characteristic classical solution complete Computational conduction consider constant continuous convergent corresponding defined definition denote dependence derivatives described determined direction domain eigenvalues equal example Exercise exists expression fact formula Fourier method function Further given heat heat equation Hence homogeneous hyperbolic important initial conditions initial functions initial-boundary value problems initial-value problem instance integral interval linear look Mathematics means method normal obtain operator partial differential equations physical plane positive processes properties region relation respect result satisfying side so-called solve space variables sufficiently surface telegraph equation temperature theorem theory transform u₁ uniformly uniqueness unit vector vibration wave equation zero
Bibliografické údaje
| Název | Partial Differential Equations of Evolution Ellis Horwood series in mathematics and its applications : Statistics, operational research and computational mathematics section Ellis Horwood series in mathematics and its applications, ISSN 0271-6151 Ellis Horwood series in mathematics and its applications: Statistics and operational research Mathematics and Its Applications Series Mathematics and its applications (Chichester, England : 1988).: Statistics, operational research, and computational mathematics |
| Autor | Jaroslav Bartak |
| Vydavatel | Ellis Horwood, 1991 |
| Zdroj originálu: | Michiganská univerzita |
| Digitalizováno | 5. únor 2010 |
| ISBN | 0136514499, 9780136514497 |
| Délka | Počet stran: 261 |
| Exportovat citaci | BiBTeX EndNote RefMan |