A new basis implementation for a mixed order boundary value ODE solver
SIAM Journal on Scientific and Statistical Computing
Continuation and collocation for parameter-dependent boundary value problems
SIAM Journal on Scientific and Statistical Computing
SIAM Journal on Scientific and Statistical Computing
Journal of Computational Physics
Runge-Kutta Software with Defect Control four Boundary Value ODEs
SIAM Journal on Scientific Computing
Applied Numerical Mathematics - Selected papers on eighth conference on the numerical treatment of differential equations 1-5 September 1997, Alexisbad, Germany
Collocation Software for Boundary-Value ODEs
ACM Transactions on Mathematical Software (TOMS)
COLSYS - - A Collocation Code for Boundary - Value Problems
Proceedings of a Working Conference on Codes for Boundary-Value Problems in Ordinary Differential Equations
Journal of Computational and Applied Mathematics
Solving regularly and singularly perturbed reaction-diffusion equations in three space dimensions
Journal of Computational Physics
International Journal of Computing Science and Mathematics
Journal of Computational and Applied Mathematics
ACM Transactions on Mathematical Software (TOMS)
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In a recent paper, the present authors derived an automatic continuation algorithm for the solution of linear singular perturbation problems. The algorithm was incorporated into two general-purpose codes for solving boundary value problems, and it was shown to deal effectively with a large test set of linear problems. The present paper describes how the conintuation algorithm for linear problems can be extended to deal with the nonlinear case. The results of exstensive numerical testing on a set of nonlinear singular perturbation problems are given, and these clearly demonstrate the efficacy of continuation for solving such problems.