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

DOI10.1007/BF01389210zbMath0352.65048OpenAlexW1985236555MaRDI QIDQ1235961

Eugene L. Allgower, Stephen F. McCormick

Publication date: 1978

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

Full work available at URL: https://eudml.org/doc/132518

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (8)

An iterative aggregation-disaggregation algorithm for solving linear equations ⋮ On the solution of nonlinear two-point boundary value problems on successively refined grids ⋮ Steady shock tracking and Newton's method applied to one-dimensional duct flow ⋮ An efficient approach for solving stiff nonlinear boundary value problems ⋮ Bibliography on the evaluation of numerical software ⋮ A general mesh independence principle for Newton's method applied to second order boundary value problems ⋮ A new algorithm for calculating Adomian polynomials for nonlinear operators ⋮ A numerical method for parameter identification of a boundary value problem

Cites Work

• Iterated deferred corrections for nonlinear boundary value problems
• A Method of "Alternating Corrections" for the Numerical Solution of Two-Point Boundary Value Problems
• Accurate Difference Methods for Nonlinear Two-Point Boundary Value Problems
• The Differentiation of Pseudo-Inverses and Nonlinear Least Squares Problems Whose Variables Separate
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