Continuation and Collocation for Parameter-Dependent Boundary Value Problems

DOI10.1137/0910007zbMath0669.65067OpenAlexW2154993028MaRDI QIDQ3823094

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Publication date: 1989

Published in: SIAM Journal on Scientific and Statistical Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0910007

zbMATH Keywords

quadratic convergencecollocationNumerical examplesContinuation methodssteplength controlGauss-Newton type iteration

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (8)

Mesh selection for stiff two-point boundary value problems ⋮ Singular Perturbations of Limit Points with Application to Tubular Chemical Reactors ⋮ Unnamed Item ⋮ On smoothness and invariance properties of the gauss-newton method ⋮ RWPKV: A software package for continuation and bifurcation problems in two-point boundary value problems ⋮ Linear system solvers for boundary value ODEs ⋮ Numerical simulations of a rolling ball robot actuated by internal point masses ⋮ Numerical solution of eigenvalue problems for linear boundary value ODEs

Uses Software

• PASVA 4
• COLNEW
• ALCON
• COLSYS

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