Efficient space-time spectral methods for second-order problems on unbounded domains

DOI10.1007/s10915-017-0374-2zbMath1377.65139OpenAlexW2589666312MaRDI QIDQ1676920

Dong-qin Gu, Hui-yuan Li, Chao Zhang, Zhong-qing Wang

Publication date: 10 November 2017

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-017-0374-2

zbMATH Keywords

convergencenumerical exampleunbounded domainspace-time spectral methodsdual-Petrov-Galerkin methodssimultaneously orthogonal basis functions

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (8)

Hermite–Sobolev orthogonal functions and spectral methods for second- and fourth-order problems on unbounded domains ⋮ Efficient space-time Jacobi rational spectral methods for second order time-dependent problems on unbounded domains ⋮ Efficient space-time Legendre rational spectral method for parabolic problems in unbounded domains ⋮ Diagonalized Legendre spectral methods using Sobolev orthogonal polynomials for elliptic boundary value problems ⋮ Efficient Legendre-Laguerre spectral element methods for problems on unbounded domains with diagonalization technique ⋮ Spectral methods in space and time for parabolic problems on semi-infinite domains ⋮ Legendre-tau-Galerkin and spectral collocation method for nonlinear evolution equations ⋮ On approximate inverse of Hermite and Laguerre collocation differentiation matrices and new collocation schemes in unbounded domains

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