Conditioning and Hybrid Mesh Selection Algorithms for Two-Point Boundary Value Problems

摘要: Boundary value problems for ordinary differential equations (BVODES) occur in a great many practical situations and they are generally much harder to solve than initial problems. Traditionally codes BVODES did not take into account the conditioning of problem it was assumed that being solved was well conditioned so that small local errors gave rise correspondingly global errors. Recently new generation which has been developed. However most these based on rather ad hoc approach with need choose several heuristics without any real guidance how choices can be made. In this paper we identify clearly which chosen discuss different monitor functions used in our codes. This has important effect of unifying various approaches have recently proposed. turn allows us, present paper, introduce technique for computing is ideally suited BVODES.