Partial differential equations
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Details
| Translated title of the contribution | Partial differential equations |
|---|---|
| Original language | English |
| Place of Publication | Tampere |
| Publisher | Tampere University of Technology |
| Publication status | Published - 2010 |
| Publication type | D4 Published development or research report or study |
Publication series
| Name | MAT-51316 |
|---|---|
| Publisher | Tampere University of Technology |
Abstract
Partial differential equations (PDEs) are used to model physical phenomena involving continua, such as fluid dynamics, electromagnetic fields, acoustics, gravitation, and quantum mechanics. They also arise as mathematical models of other multivariate phenomena, for example in mathematical finance. These course notes present derivations of the basic linear PDEs (transport, heat/diffusion, wave, Laplace) and explain how they model physical phenomena. Standard analytical solution methods (separation of variables, Dirichlet's principle, Green's functions) and general theorems about solution properties are presented. Numerical PDE solution packages in Matlab and Maple are briefly introduced. Additional course materials (including exercises and recorded lectures) are available at the author's home page http://math.tut.fi/~piche/pde
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Field of science, Statistics Finland
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