A method for the numerical solution of $y^{’} =f(x, y)$ based on a self-adjusting non-polynomial interpolant
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- by J. D. Lambert and B. Shaw PDF
- Math. Comp. 20 (1966), 11-20 Request permission
References
- John D. Lambert and Brian Shaw, On the numcerical solution of $y^{\prime } =f(x,\,y)$ by a class of formulae based on rational approximation, Math. Comp. 19 (1965), 456–462. MR 179947, DOI 10.1090/S0025-5718-1965-0179947-7
- Vladimir Ivanovich Krylov, Approximate calculation of integrals, The Macmillan Company, New York-London, 1962, 1962. Translated by Arthur H. Stroud. MR 0144464
- L. Fox, The numerical solution of two-point boundary problems in ordinary differential equations, Oxford University Press, New York, 1957. MR 0102178
- John D. Lambert and Andrew R. Mitchell, On the solution of $y^{\prime } =f(x,\,y)$ by a class of high accuracy difference formulae of low order, Z. Angew. Math. Phys. 13 (1962), 223–232 (English, with German summary). MR 140188, DOI 10.1007/BF01601084
Additional Information
- © Copyright 1966 American Mathematical Society
- Journal: Math. Comp. 20 (1966), 11-20
- MSC: Primary 65.61
- DOI: https://doi.org/10.1090/S0025-5718-1966-0189252-1
- MathSciNet review: 0189252