On the solution of nonlinear two-point boundary value problems on successively refined grids

DOI10.1016/0168-9274(85)90032-7zbMath0619.65074OpenAlexW2061345018MaRDI QIDQ1089754

Mitchell D. Smooke, Robert M. M. Mattheij

Publication date: 1985

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(85)90032-7

zbMATH Keywords

convergenceNewton's methodmesh refinementmodel problemsadaptive finite difference methodsmildly nonuniform grid

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items

Distributed-memory parallel computation of a forced, time-dependent, sooting, ethylene/air coflow diffusion flame, Adaptive continuation algorithms with application to combustion problems, Jacobian-free Newton-Krylov methods: a survey of approaches and applications., A Note on Adaptive Nonlinear Preconditioning Techniques, An implicit compact scheme solver with application to chemically reacting flows, A Regularized Newton-Like Method for Nonlinear PDE, Smooth and robust solutions for Dirichlet boundary control of fluid-solid conjugate heat transfer problems, Composing Scalable Nonlinear Algebraic Solvers, Local rectangular refinement with application to nonreacting and reacting fluid flow problems, Estimates for the inverse of tridiagonal matrices arising in boundary- value problems

Uses Software

• COLSYS

Cites Work

• Estimates for the inverse of tridiagonal matrices arising in boundary- value problems
• Solution of burner-stabilized premixed laminar flames by boundary value methods
• A modified Newton method for the solution of ill-conditioned systems of nonlinear equations with application to multiple shooting
• Mesh selection for discrete solution of boundary problems in ordinary differential equations
• Newton's method with mesh refinements for numerical solution of nonlinear two-point boundary value problems
• Equidistributing Meshes with Constraints
• An Adaptive Finite Difference Solver for Nonlinear Two-Point Boundary Problems with Mild Boundary Layers
• Adaptive Mesh Selection Strategies for Solving Boundary Value Problems
• On Selection of Equidistributing Meshes for Two-Point Boundary-Value Problems
• Accurate Difference Methods for Nonlinear Two-Point Boundary Value Problems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item