Difference approximations for boundary and eigenvalue problems for ordinary differential equations
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- by Heinz-Otto Kreiss PDF
- Math. Comp. 26 (1972), 605-624 Request permission
Abstract:
The boundary value problem for ordinary differential equations is considered and a general theory for difference approximation is developed. In particular, the influence of extra boundary conditions is investigated and the eigenvalue problem is considered in detail.References
- L. Fox, The numerical solution of two-point boundary problems in ordinary differential equations, Oxford University Press, New York, 1957. MR 0102178
- Herbert B. Keller, Accurate difference methods for linear ordinary differential systems subject to linear constraints, SIAM J. Numer. Anal. 6 (1969), 8–30. MR 253562, DOI 10.1137/0706002
- Victor Pereyra, Iterated deferred corrections for nonlinear operator equations, Numer. Math. 10 (1967), 316–323. MR 221760, DOI 10.1007/BF02162030
- Hans J. Stetter, Asymptotic expansions for the error of discretization algorithms for non-linear functional equations, Numer. Math. 7 (1965), 18–31. MR 175320, DOI 10.1007/BF01397970
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Math. Comp. 26 (1972), 605-624
- MSC: Primary 65L10
- DOI: https://doi.org/10.1090/S0025-5718-1972-0373296-3
- MathSciNet review: 0373296