Introduction to the Numerical Integration of PDEs
by B. Piette
Publisher: University of Durham 2004
Number of pages: 89
In these notes, we describe the design of a small C++ program which solves numerically the sine-Gordon equation. The program is build progressively to make it multipurpose and easy to modify to solve any system of partial differential equations.
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by Dennis Deturck, Herbert S. Wilf - University of Pennsylvania
Contents: Differential and Difference Equations (Linear equations with constant coefficients, Difference equations, Stability theory); The Numerical Solution of Differential Equations (Euler's method); Numerical linear algebra.
by Bertrand Mercier - Tata Institute of Fundamental Research
Contents: Sobolev Spaces; Abstract Variational Problems and Examples; Conforming Finite Element Methods; Computation of the Solution of the Approximate Problem; Problems with an Incompressibility Constraint; Mixed Finite Element Methods; etc.
by Daniele Venturi - arXiv
The purpose of this manuscript is to provide a new perspective on the problem of numerical approximation of nonlinear functionals and functional differential equations. The proposed methods will be described and demonstrated in various examples.
by L. M. Milne Thomson - Macmillan and co
The object of this book is to provide a simple account of the subject of Finite Differences and to present the theory in a form which can be readily applied -- not only the useful material of Boole, but also the more modern developments.