A new mesh selection strategy for ODEs
A new mesh selection strategy for boundary value problems of ordinary differential equations (ODEs) is proposed which utilizes a monitor function based on the conditioning properties of the continuous problem. The numerical methods applied to test the reliability of the strategy are symmetric linear multistep formulae used as boundary value methods. Some numerical examples are considered making use of the trapezoidal rule and the mesh selection strategy previously described, which show the effectiveness of this strategy for different kinds of problems.
scientific article; zbMATH DE number 1036638
scientific article