Lectures on Numerical Methods in Bifurcation Problems
by H.B. Keller
Publisher: Tata Institute Of Fundamental Research 1986
Number of pages: 140
These lectures introduce the modern theory of continuation or path following in scientific computing. Almost all problem in science and technology contain parameters. Families or manifolds of solutions of such problems, for a domain of parameter variation, are of prime interest.
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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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