An Adaptation of Krylov Subspace Methods to Path Following Problems

DOI10.1137/S1064827597315376zbMath0948.65056MaRDI QIDQ4942070

Homer F. Walker

Publication date: 20 March 2000

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

zbMATH Keywords

combustion phenomenaKrylov subspace methodsdriven cavity problemcontinuation methodsHouseholder transformationsunderdetermined linear systemspath following problemshomotopy problems

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Iterative numerical methods for linear systems (65F10)

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Periodic steady state response of large scale mechanical models with local nonlinearities ⋮ Petrov-Galerkin computation of nonlinear waves in pipe flow of shear-thinning fluids: first theoretical evidences for a delayed transition ⋮ Parallel parameter study of the Wigner-Poisson equations for RTDs ⋮ Stabilized forms of orthogonal residual and constant incremental work control path following methods ⋮ Hexagon Invasion Fronts Outside the Homoclinic Snaking Region in the Planar Swift--Hohenberg Equation

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