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Ciarlet, P. G.

An \(O(h^ 2)\) method for a non-smooth boundary value problem. (English) Zbl 0159.11703

Aequationes Math. 2, 39-49 (1968).
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Cited in 11 Documents

Keywords:

ordinary differential equations
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Full Text: DOI EuDML

References:

[1] Ciarlet, P.G.,Variational Methods for Nonlinear Boundary Value Problems, Doctoral Thesis (Case Institute of Technology, 1966).
[2] Ciarlet, P.G., Schultz, M.H., andVarga, R.S.,Numerical Methods of High-Order Accuracy for Nonlinear Boundary Value Problems, I:One Dimensional Problems, Numer. Math.9, 394–430 (1967). · Zbl 0155.20403 · doi:10.1007/BF02162155
[3] Gerschgorin, S.,Fehlerabschätzung für das Differenzenverfahren zur Lösung partieller Differentialgleichungen, Z. Angew. Math. Mech.10, 373–382 (1930). · JFM 56.0467.03 · doi:10.1002/zamm.19300100409
[4] Householder, A.S.,The Theory of Matrices in Numerical Analysis (Blaisdell, New York 1964). · Zbl 0161.12101
[5] Lees, M.,Lecture Notes on Two-Point Boundary Value Problems (Case Institute of Technology, 1965).
[6] Rose, M.E.,Finite Difference Schemes for Differential Equations, Math. Comp.18, 179–195 (1964). · Zbl 0122.12301 · doi:10.1090/S0025-5718-1964-0183123-0
[7] Schechter, S.,Iteration Methods for Nonlinear Problems, Trans. Amer. Math. Soc.104, 179–189 (1962). · Zbl 0106.31801 · doi:10.1090/S0002-9947-1962-0152142-7
[8] Varga, R.S.,Matrix Iterative Analysis (Prentice-Hall, Englewood Cliffs, N.J. 1962). · Zbl 0133.08602
[9] Varga, R.S.,On a Discrete Maximum Principle, SIAM J. Numer. Anal.3, 355–359 (1966). · Zbl 0143.17603 · doi:10.1137/0703029
[10] Varga, R.S.,Hermite Interpolation-Type Ritz Methods for Two-Point Boundary Value Problems. inPartial Differential Equations, Edited by J. H. Bramble (Academic Press, New York 1966), pp. 365–373.
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