Spectral collocation for multiparameter eigenvalue problems arising from separable boundary value problems

DOI10.1016/j.jcp.2015.06.015zbMath1349.65655OpenAlexW2165144891MaRDI QIDQ2374667

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

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://research.tue.nl/nl/publications/spectral-collocation-for-multiparameter-eigenvalue-problems-arising-from-separable-boundary-value-problems(eb0cc15d-3fd7-4f11-9210-17c07f8c3992).html

zbMATH Keywords

subspace methodsSchrödinger equationHelmholtz equationseparation of variablesSylvester equationspectral methodsChebyshev collocationLaguerre collocationLamé's systemMathieu's systemmultiparameter eigenvalue problemtwo-parameter eigenvalue problembartels-stewart methodthree-parameter eigenvalue problem

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (5)

Spectral collocation solutions to systems of boundary layer type ⋮ Recursive Algorithms to Update a Numerical Basis Matrix of the Null Space of the Block Row, (Banded) Block Toeplitz, and Block Macaulay Matrix ⋮ Numerical Strategies for Solving Multiparameter Spectral Problems ⋮ Fiber product homotopy method for multiparameter eigenvalue problems ⋮ Two complementary block Macaulay matrix algorithms to solve multiparameter eigenvalue problems

Uses Software

• LAPACK
• Matlab
• eigs
• DLMF
• IRAM
• Differentiation Matrix Suite
• Algorithm 432

Cites Work

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