Hermite pseudospectral approximations. An error estimate

Journal of Mathematical Analysis and Applications

Volumn 304, Issue 1, 2005, Pages 189-197

  Aguirre, Julián ^a   Rivas, Judith ^a  

^a UNIVERSITY OF THE BASQUE COUNTRY UPV EHU   (Spain)

Author keywords

Hermite functions; Pseudospectral approximation

Indexed keywords

EID: 14644387586     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2004.09.013     Document Type: Article

References (7)

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2. G. Ben-Yu X. Cheng-Long Hermite pseudospectral method for nonlinear partial differential equations Math. Mod. Num. Anal. 34 2000 859-872
3. C. Bernardi Y. Maday Approximations spectrales de problèmes aux limites elliptiques 1992 Springer-Verlag Paris
4. D. Funaro O. Kavian Approximation of some diffusion evolution equations in unbounded domains by Hermite functions Math. Comp. 57 1991 597-619
5. T. Kriecherbauer K.T.-R. McLaughlin Strong asymptotics of polynomials orthogonal with respect to Freud weights Internat. Math. Res. Notices 1999 299-333
6. M.B. Pérez Pinilla, Un método espectral basado en funciones de Hermite para la resolución numérica de algunas ecuaciones del calor semilineales, PhD thesis, Universidad del País Vasco, Bilbao, 1997
7. G. Szegö Orthogonal Polynomials 1939 Amer. Math. Soc. Providence, RI