Gleichmäßig einschließende Diskretisierungsverfahren für schwach nichtlineare Randwertaufgaben. (Uniformly enclosing discretization methods for weakly nonlinear boundary value problems)

DOI10.1007/BF01389432zbMath0621.65092OpenAlexW2604739317MaRDI QIDQ1090083

Christian Grossmann, Hans-Goerg Roos, Michael Krätzschmar

Publication date: 1986

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01389432

zbMATH Keywords

numerical examplesupper and lower boundstwo-sided boundsweak maximum principleupper and lower discretizationsweakly nonlinear boundary value problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

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Boundary value problems with discontinuities and monotone discretization ⋮ Convergence of Rothe's method in Hölder spaces. ⋮ Comparison of direct to shooting enclosures for an inverse-monotone boundary value problem with locally steep solution ⋮ Monotone iteration descretization algorithm for BVP's ⋮ Unnamed Item ⋮ A programmed algorithm for existence proofs for two-point boundary value problems ⋮ Enclosures of the solution of the Thomas-Fermi equation by monotone discretization ⋮ Elliptic variational inequalities of monotone kind ⋮ Enclosure of solutions of weakly nonlinear elliptic boundary value problems and their computation

Cites Work

• Elliptic Partial Differential Equations of Second Order
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