scientific article

zbMath0734.65082MaRDI QIDQ3361844

J. A. C. Weideman

Publication date: 1992

Full work available at URL: https://eudml.org/doc/133630

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zbMATH Keywords

stabilityGalerkin methodeigenvaluescollocation methodsrational functionsHermite polynomialsLaguerre polynomialsHermite functionscondition numbersHermite methodspectral differentiation matrices

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Eigenvalues, singular values, and eigenvectors (15A18) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical differentiation (65D25)

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Kawahara solitons in Boussinesq equations using a robust Christov-Galerkin spectral method ⋮ Spectral collocation method for solving continuous population models for single and interacting species by means of exponential Chebyshev approximation ⋮ Generalized Hermite spectral method matching asymptotic behaviors ⋮ On approximate inverse of Hermite and Laguerre collocation differentiation matrices and new collocation schemes in unbounded domains ⋮ A rational approximation and its applications to nonlinear partial differential equations on the whole line. ⋮ Spectral method based on nonclassical basis functions: The advection-diffusion equation.

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