Collocation for Two-Point Boundary Value Problems Revisited

DOI10.1137/0723038zbMath0618.65072OpenAlexW2085325870MaRDI QIDQ4728139

Uri M. Ascher

Publication date: 1986

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0723038

zbMATH Keywords

stabilitysuperconvergencequasilinearizationnonstiff problemsCollocation methodsfirst order systemscollocation Runge-Kutta methodshigher differential equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

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A new fourth-order cubic spline method for second-order nonlinear two- point boundary-value problems, Numerical solution of nonlinear differential boundary value problems using adaptive non-overlapping domain decomposition method, Stability of two-step spline collocation methods for initial value problems for fractional differential equations, Computing Covariance Matrices for Constrained Nonlinear Large Scale Parameter Estimation Problems Using Krylov Subspace Methods, Adaptivity and computational complexity in the numerical solution of ODEs, F-TRANSFORM FOR NUMERICAL SOLUTION OF TWO-POINT BOUNDARY VALUE PROBLEM, Projected collocation for higher-order higher-index differential- algebraic equations, Gauss–Newton Methods for Robust Parameter Estimation, A note on conditioning, stability and collocation matrices

Uses Software

• COLNEW
• COLSYS