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Numerical error bounds for fourth order boundary value problems, simultaneous estimation of u(x) and u”(x). (English) Zbl 0536.34004

See the preview in Zbl 0523.34008.

MSC:

34A40 Differential inequalities involving functions of a single real variable
65J99 Numerical analysis in abstract spaces
34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations
34B15 Nonlinear boundary value problems for ordinary differential equations

Citations:

Zbl 0523.34008
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References:

[1] Ehlich, H., Zeller, K.: Schwankung von Polynomen zwischen Gitterpunkten. Math. Z.86, 41-44 (1964) · Zbl 0131.06602 · doi:10.1007/BF01111276
[2] Ruttmann, B.: Untersuchungen zur Fehlerabsch?tzung von polynomialen N?herungsl?sungen bei Randwertaufgaben gew?hnlicher Differentialgleichungen. Diss. Univ. K?ln, 1982 · Zbl 0531.65047
[3] Schr?der, J.: Operator Inequalities. New York: Academic Press 1980 · Zbl 0455.65039
[4] Schr?der, J.: Fourth order two-point boundary value problems; estimates by two-sided bounds. Nonlinear Analysis (in press) · Zbl 0533.34019
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