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Difference approximations for boundary and eigenvalue problems for ordinary differential equations. (English) Zbl 0264.65044


MSC:

65L10 Numerical solution of boundary value problems involving ordinary differential equations
39A05 General theory of difference equations
65L15 Numerical solution of eigenvalue problems involving ordinary differential equations
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References:

[1] L. Fox, The numerical solution of two-point boundary problems in ordinary differential equations, Oxford University Press, New York, 1957. · Zbl 0077.11202
[2] Herbert B. Keller, Accurate difference methods for linear ordinary differential systems subject to linear constraints, SIAM J. Numer. Anal. 6 (1969), 8 – 30. · Zbl 0176.14801 · doi:10.1137/0706002
[3] Victor Pereyra, Iterated deferred corrections for nonlinear operator equations, Numer. Math. 10 (1967), 316 – 323. · Zbl 0258.65059 · doi:10.1007/BF02162030
[4] Hans J. Stetter, Asymptotic expansions for the error of discretization algorithms for non-linear functional equations, Numer. Math. 7 (1965), 18 – 31. · Zbl 0148.39003 · doi:10.1007/BF01397970
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