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
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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
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