Mills, R. J.; Kelly, D. W.; Reizes, J. A.; Isles, J. D.; Miller, A. D. Exact error estimates and adaptive mesh transformation control for elliptic boundary value problems in R 1. (English) Zbl 0654.65060 Computational techniques and applications, Proc. Int. Conf., CTAC-3, Sydney/Aust. 1987, 487-498 (1988). [For the entire collection see Zbl 0643.00022.] The authors study the generation of a posteriori bounds in the numerical solution of boundary value problems by arbitrary methods. A simple example is presented. Little reference is given to other existing techniques for the construction of a posteriori error estimates. Reviewer: J.M.Sanz-Serna MSC: 65L10 Numerical solution of boundary value problems involving ordinary differential equations 65L50 Mesh generation, refinement, and adaptive methods for ordinary differential equations 34B05 Linear boundary value problems for ordinary differential equations Keywords:error estimates; mesh transformation control; a posteriori bounds; a posteriori error estimates Citations:Zbl 0643.00022 PDFBibTeX XML