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Numerical treatment of hammerstein-equations by variational methods

III. Numerische Behandlung nichtlinearer Randwertprobleme

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Part of the Lecture Notes in Mathematics book series (LNM,volume 267)

Abstract

Hammerstein-equations with positive and quasidefinite kernels are considered in one- and two-dimensional domains of ℝn and approximate solutions are constructed by means of spline-functions and finite elements. For these approximate solutions are given the proofs of existence, uniqueness and convergence and error estimates.

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Hertling, J. (1972). Numerical treatment of hammerstein-equations by variational methods. In: Ansorge, R., Törnig, W. (eds) Numerische Lösung nichtlinearer partieller Differential- und Integrodifferentialgleichungen. Lecture Notes in Mathematics, vol 267. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061622

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  • DOI: https://doi.org/10.1007/BFb0061622

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05895-3

  • Online ISBN: 978-3-540-37540-1

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