Laguerre polynomials for infinite-domain spectral elements

DOI10.1016/0021-9991(89)90112-5zbMath0665.65066OpenAlexW2199665742MaRDI QIDQ1116299

Cathy Mavriplis

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-9991(89)90112-5

zbMATH Keywords

spectral element methodconjugate gradient methodHelmholtz equationLaguerre polynomialssemi-infinite domains

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)

Related Items

Laguerre spectral approximation of Stokes' first problem for third-grade fluid, Exponentially accurate nonconforming least-squares spectral element method for elliptic problems on unbounded domain, Computational aspects of pseudospectral Laguerre approximations, Legendre-Laguerre coupled spectral element methods for second- and fourth-order equations on the half line, Laguerre approximation of stable manifolds with application to connecting orbits, Gegenbauer approximation and its applications to differential equations on the whole line, Jacobi spectral method for differential equations with rough asymptotic behaviors at infinity, Error estimation of Hermite spectral method for nonlinear partial differential equations, Laguerre spectral approximation of elliptic problems in exterior domains, Combined Hermite spectral-finite difference method for the Fokker-Planck equation, A Laguerre\,-\,Legendre spectral\,-\,element method for the solution of partial differential equations on infinite domains: Application to the diffusion of tumour angiogenesis factors

Cites Work

• A spectral element method for fluid dynamics: Laminar flow in a channel expansion
• The optimization of convergence for Chebyshev polynomial methods in an unbounded domain
• Numerical solution of problems in unbounded regions: coordinate transforms
• Orthogonal rational functions on a semi-infinite interval
• Spectral methods using rational basis functions on an infinite interval
• Spectral Calculations of One-Dimensional Inviscid Compressible Flows
• Unnamed Item