Large sparse continuation problems
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Publication:1263940
DOI10.1016/0377-0427(89)90144-1zbMath0688.65035OpenAlexW2064386875MaRDI QIDQ1263940
Kurt Georg, Eugene L. Allgower, Cheng-Sheng Chien
Publication date: 1989
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0377-0427(89)90144-1
convergencebifurcationsolution manifoldpreconditionersnonlinear eigenvalue problemsNumerical experimentslarge sparse systemsnonlinear conjugate gradient methodcontinuation methodslocal perturbationsbuckled platescorrector phasehigher-order predictors
Related Items (15)
Bifurcations of corank greater than two ⋮ Continuation-minimization methods for stability problems ⋮ Conjugate gradient methods for continuation problems. II ⋮ Partial Newton-correction method for multiple fixed points of semi-linear differential operators by Legendre-Gauss-Lobatto pseudospectral method ⋮ A new augmented singular transform and its partial Newton-correction method for finding more solutions ⋮ A parallel and adaptive continuation method for semilinear bifurcation problems ⋮ Conjugate gradient methods for continuation problems ⋮ A new augmented singular transform and its partial Newton-correction method for finding more solutions to nonvariational quasilinear elliptic PDEs ⋮ A MULTIGRID-LANCZOS ALGORITHM FOR THE NUMERICAL SOLUTIONS OF NONLINEAR EIGENVALUE PROBLEMS ⋮ On the numerical solution of double-periodic elliptic eigenvalue problems ⋮ Secondary bifurcations in the buckling problem ⋮ An augmented singular transform and its partial Newton method for finding new solutions ⋮ An algorithm for computing unstable solutions of semilinear boundary value problems ⋮ Bifurcations of a simplified buckling problem and the effect of discretizations ⋮ A parallel continuation algorithm for nonlinear eigenvalue problems
Uses Software
Cites Work
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