Basic partial differential equations
著者
書誌事項
Basic partial differential equations
Chapman and Hall, c1995
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注記
Reprint. First published by Van Nostrand Reinhold in 1992
内容説明・目次
内容説明
Topics not usually found in books at this level include but examined in this text:
the application of linear and nonlinear first-order PDEs to the evolution of population densities and to traffic shocks
convergence of numerical solutions of PDEs and implementation on a computer
convergence of Laplace series on spheres
quantum mechanics of the hydrogen atom
solving PDEs on manifolds
The text requires some knowledge of calculus but none on differential equations or linear algebra.
目次
- First-order PDEs
- the heat equation
- Fourier series and Sturm-Liouville theory
- the wave equation
- Laplace's equation
- Fourier transforms
- numerical solutions - an introduction
- PDEs in higher dimensions.
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