Mesh Independence of Matrix-Free Methods for Path Following

DOI10.1137/S1064827598339360zbMath0957.65053OpenAlexW1988746355MaRDI QIDQ4509804

William R. Ferng, Carl. T. Kelley

Publication date: 19 October 2000

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

Full work available at URL: https://doi.org/10.1137/s1064827598339360

zbMATH Keywords

algorithmconvergencenumerical resultssingular pointsbifurcationsingularityGMRESBanach spacepath followingArnoldi methodmesh independencenonlinear two-point boundary value problembranch switchingfold pointcollective compactnessmatrix-free method

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solutions to equations with nonlinear operators (65J15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Abstract bifurcation theory involving nonlinear operators (47J15)

Related Items (8)

Krylov methods and determinants for detecting bifurcations in one parameter dependent partial differential equations ⋮ Local Improvement Results for Anderson Acceleration with Inaccurate Function Evaluations ⋮ Simultaneous solution of large-scale linear systems and eigenvalue problems with a parallel GMRES method ⋮ Numerical methods for nonlinear equations ⋮ Mesh independence of the generalized Davidson algorithm ⋮ Newton's Method for Monte Carlo--Based Residuals ⋮ Bifurcation detection with the (un)preconditioned GMRES(m) ⋮ Iterative methods for large continuation problems

Uses Software

• KELLEY

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