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Local piecewise polynomial projection methods for an O.D.E. which give high-order convergence at knots. (English) Zbl 0456.65056

MSC:
65L15 Numerical solution of eigenvalue problems involving ordinary differential equations
34L99 Ordinary differential operators
65D07 Numerical computation using splines
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[1] Carl de Boor and Blâir Swartz, Collocation at Gaussian points, SIAM J. Numer. Anal. 10 (1973), 582 – 606. · Zbl 0232.65065 · doi:10.1137/0710052 · doi.org
[2] Carl de Boor and Blair Swartz, Collocation approximation to eigenvalues of an ordinary differential equation: the principle of the thing, Math. Comp. 35 (1980), no. 151, 679 – 694. · Zbl 0444.65053
[3] Carl de Boor and Blair Swartz, Collocation approximation to eigenvalues of an ordinary differential equation: numerical illustrations, Math. Comp. 36 (1981), no. 153, 1 – 19. · Zbl 0456.65055
[4] Steven A. Pruess, Solving linear boundary value problems by approximating the coefficients, Math. Comp. 27 (1973), 551 – 561. · Zbl 0293.65057
[5] S. Pruess, High order approximations to Sturm-Liouville eigenvalues, Numer. Math. 24 (1975), no. 3, 241 – 247. · Zbl 0298.65058 · doi:10.1007/BF01436595 · doi.org
[6] K. A. Wittenbrink, High order projection methods of moment- and collocation-type for nonlinear boundary value problems, Computing (Arch. Elektron. Rechnen) 11 (1973), no. 3, 255 – 274 (English, with German summary). · Zbl 0288.65047
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