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.


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


Zbl 0523.34008
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[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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