A general mesh independence principle for Newton's method applied to second order boundary value problems

DOI10.1007/BF02252130zbMath0416.65058OpenAlexW38438213MaRDI QIDQ754624

Eugene L. Allgower, D. V. Pryor, Stephen F. McCormick

Publication date: 1979

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02252130

zbMATH Keywords

differential equationnonlinear boundary value problemsNewton iterationsdifference approximationextension of the mesh independence principle

Mathematics Subject Classification ID

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

Related Items (2)

A numerical method for stationary shock problems with monotonic solutions ⋮ On a mesh-independence principle for operator equations and the secant method

Cites Work

• Newton's method with mesh refinements for numerical solution of nonlinear two-point boundary value problems
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