Block M-Matrices and Computation of Invariant Tori

DOI10.1137/0913053zbMath0755.65085OpenAlexW2123640483MaRDI QIDQ4009005

Jens Lorenz, Luca Dieci

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1137/0913053

zbMATH Keywords

stabilityconvergencenumerical examplesDynamical systemsRichardson extrapolationupwind schemeinvariant torusperiodic difference equationsblock \(M\)-matrix

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical methods for ordinary differential equations (65L99) Dynamical systems and ergodic theory (37-XX)

Related Items (11)

Block iterations and compactification for periodic block dominant systems associated to invariant tori approximation ⋮ A necessary and sufficient condition for \(M\)-matrices and its relation to block \(LU\) factorization ⋮ Convergence of parallel block SSOR multisplitting method for block H-matrix ⋮ A NEWTON METHOD FOR LOCATING INVARIANT TORI OF MAPS ⋮ The boundary-constraint method for constructing vortex-surface fields ⋮ A geometrical method for the approximation of invariant tori ⋮ A direct numerical method for quantifying regular and chaotic orbits ⋮ On parallel multisplitting block iterative methods for linear systems arising in the numerical solution of Euler equations ⋮ On a class of matrices which arise in the numerical solution of Euler equations ⋮ Convergence of block iterative methods for linear systems with generalized \(H\)-matrices ⋮ Preconditioning for a class of spectral differentiation matrices

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