Multiparameter spectral theory and separation of variables

DOI10.1088/1751-8113/41/1/015209zbMath1141.34008OpenAlexW2041707457MaRDI QIDQ5440283

Sleeman, Brian D.

Publication date: 1 February 2008

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8113/41/1/015209

zbMATH Keywords

Schur polynomialsellipsoidal harmonicsquantum mechanics.La'me functions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Parameter dependent boundary value problems for ordinary differential equations (34B08) Lamé, Mathieu, and spheroidal wave functions (33E10) Tensor products of linear operators (47A80)

Related Items (9)

Spectral collocation for multiparameter eigenvalue problems arising from separable boundary value problems ⋮ Numerical simulation of the whispering gallery modes in prolate spheroids ⋮ Spectral collocation solutions to multiparameter Mathieu's system ⋮ Nonlinear multiparameter eigenvalue problems: linearised and nonlinearised solutions ⋮ Recursive Algorithms to Update a Numerical Basis Matrix of the Null Space of the Block Row, (Banded) Block Toeplitz, and Block Macaulay Matrix ⋮ Product formulas and convolutions for Laplace-Beltrami operators on product spaces: beyond the trivial case ⋮ Perturbation of nonlinear operators in the theory of nonlinear multifrequency electromagnetic wave propagation ⋮ On the Abramov approach for the approximation of whispering gallery modes in prolate spheroids ⋮ Two complementary block Macaulay matrix algorithms to solve multiparameter eigenvalue problems

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