Krylov methods and determinants for detecting bifurcations in one parameter dependent partial differential equations

DOI10.1007/s10543-006-0101-0zbMath1111.65112OpenAlexW2086353207MaRDI QIDQ855275

N. E. Zubov

Publication date: 5 January 2007

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-006-0101-0

zbMATH Keywords

Hilbert spacenumerical experimentspreconditioningcontinuation methodpartial differential equationcompact operatordeterminantspectral methodKrylov subspace methodgeneralized minimal residual methodArnoldi decompositionbifurcation location

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Bifurcations of singular points in dynamical systems (37G10) Numerical computation of determinants (65F40) Numerical bifurcation problems (65P30)

Related Items (3)

A parallel algorithm for the computation of invariant tori in large-scale dissipative systems ⋮ Simultaneous solution of large-scale linear systems and eigenvalue problems with a parallel GMRES method ⋮ Continuation of Bifurcations of Periodic Orbits for Large-Scale Systems

Uses Software

• PLTMG
• PLTMGC
• LOCA

Cites Work

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