Generalized Hermite approximations and spectral method for partial differential equations in multiple dimensions

DOI10.1007/s10915-013-9703-2zbMath1282.65161OpenAlexW2084543178MaRDI QIDQ395345

Zhong-qing Wang, Xin-Min Xiang

Publication date: 29 January 2014

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

Full work available at URL: https://doi.org/10.1007/s10915-013-9703-2

zbMATH Keywords

error analysisspectral methodgeneralized Hermite functionmultidimensional nonlinear wave equations

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for second-order elliptic equations (35J25) Spectral methods applied to problems in fluid mechanics (76M22) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Wave equation (35L05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

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