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A continuation algorithm with step control. (English) Zbl 0544.65055
Numerical methods for bifurcation problems, Proc. Conf., Dortmund/Ger. 1983, ISNM 70, 480-494 (1984).
Summary: [For the entire collection see Zbl 0535.00021.]
The problem of steplength algorithms in continuation methods is considered. The present paper proposes a step control that leads to a routine which is extremely short and easy to handle. A complicated numerical example illustrates the effectiveness of the approach. A FORTRAN-routine is included.

65L10 Numerical solution of boundary value problems involving ordinary differential equations
65H10 Numerical computation of solutions to systems of equations
35B15 Almost and pseudo-almost periodic solutions to PDEs
34-04 Software, source code, etc. for problems pertaining to ordinary differential equations