Spectral collocation solutions to multiparameter Mathieu's system

DOI10.1016/j.amc.2012.05.068zbMath1280.65078OpenAlexW2100488729MaRDI QIDQ388625

Călin-Ioan Gheorghiu, Bor Plestenjak, Michiel E. Hochstenbach, Joost Rommes

Publication date: 2 January 2014

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://research.tue.nl/nl/publications/spectral-collocation-solutions-to-multiparameter-mathieus-system(4cc6505f-8615-4a37-8d39-9da4f0f57a1f).html

zbMATH Keywords

convergencenumerical exampleseigenvectorcollocationJacobi-Davidson methodArnoldi methodChebyshev collocationQR algorithmreduced wave equationMathieu's systemmultiparameter eigenvalue problemtensor Rayleigh quotient iteration

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items

Spectral collocation for multiparameter eigenvalue problems arising from separable boundary value problems, Spectral collocation solutions to systems of boundary layer type, Jacobi-Gauss-Lobatto collocation method for the numerical solution of \(1+1\) nonlinear Schrödinger equations, Exact analytical solutions of the wave function for some \(q\)-deformed potentials, Numerical Strategies for Solving Multiparameter Spectral Problems, Koszul-Type Determinantal Formulas for Families of Mixed Multilinear Systems, A Sylvester–Arnoldi type method for the generalized eigenvalue problem with two‐by‐two operator determinants

Uses Software

• Matlab
• Differentiation Matrix Suite

Cites Work

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