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Numerical engineering: Experiences in designing PDE software with selfadaptive variable step size/variable order difference methods. (English) Zbl 0565.65073
Defect correction methods. Theory and applications, Comput. Suppl. 5, 227-242 (1984).
[For the entire collection see Zbl 0545.00019.]
Algorithms are discussed for error estimation, for correcting the solution and for automatic choice of the step size and the difference formulae. The algorithms are used in the SLDGL-program package which has been developed for solving the ordinary and partial differential equations both for boundary value problems and initial value ones.
Reviewer: R.Farzan

MSC:
65Z05 Applications to the sciences
35-04 Software, source code, etc. for problems pertaining to partial differential equations
74-04 Software, source code, etc. for problems pertaining to mechanics of deformable solids
76-04 Software, source code, etc. for problems pertaining to fluid mechanics
35Q99 Partial differential equations of mathematical physics and other areas of application
65N15 Error bounds for boundary value problems involving PDEs
65M15 Error bounds for initial value and initial-boundary value problems involving PDEs