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Kollokation mit mehrdimensionalen Spline — Funktionen

III. Praktische Behandlung Von Integral- Und Integrodifferentialgleichungen Sowie Allgemeiner Operatorgleichungen

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Part of the Lecture Notes in Mathematics book series (LNM,volume 395)

Abstract

Using a general optimality criterion for numerical approximations of operator equations it is shown that collocation with spline functions is an optimal method. The theoretical background for spline collocation is then developed using M — Splines. Practical strategies for improvement of the numerical calculation are discussed.

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Literatur

  1. Atteia, M., Généralisation de la définition et des propriétés des "spline fonctions", C. R. Acad. Sci. Paris Sér. A 260 (1965), 3550–3553

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© 1974 Springer-Verlag

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Schaback, R. (1974). Kollokation mit mehrdimensionalen Spline — Funktionen. In: Ansorge, R., Törnig, W. (eds) Numerische Behandlung nichtlinearer Integrodifferential-und Differentialgleichungen. Lecture Notes in Mathematics, vol 395. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0060679

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  • DOI: https://doi.org/10.1007/BFb0060679

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06832-7

  • Online ISBN: 978-3-540-37771-9

  • eBook Packages: Springer Book Archive