메뉴 건너뛰기




Volumn 230, Issue 2, 2009, Pages 333-340

On spectral methods for Volterra-type integro-differential equations

Author keywords

Gauss quadrature formulas; Legendre spectral method; Volterra type integro differential equations

Indexed keywords

GAUSS QUADRATURE FORMULAS; LEGENDRE-COLLOCATION METHOD; LEGENDRE-SPECTRAL METHOD; NUMERICAL RESULTS; SPECTRAL METHODS; VOLTERRA; VOLTERRA-TYPE INTEGRO-DIFFERENTIAL EQUATIONS;

EID: 67349266198     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2008.12.001     Document Type: Article
Times cited : (58)

References (10)
  • 2
    • 0034369460 scopus 로고    scopus 로고
    • Laguerre-Galerkin method for nonlinear partial differential equations on a semi-infinite interval
    • 635-654. MR1794346 (2001h:65152)
    • Guo B.-y., and Shen J. Laguerre-Galerkin method for nonlinear partial differential equations on a semi-infinite interval. Numer. Math. 86 (2000) 635-654. MR1794346 (2001h:65152)
    • (2000) Numer. Math. , vol.86
    • Guo, B.-y.1    Shen, J.2
  • 3
    • 0031485730 scopus 로고    scopus 로고
    • Nystrom interpolants based on zeros of Laguerre polynomials for someWeiner-Hopf equations
    • 621-642. MR1476342 (98j:45011)
    • Mastroianni G., and Monegato G. Nystrom interpolants based on zeros of Laguerre polynomials for someWeiner-Hopf equations. IMA J. Numer. Anal. 17 (1997) 621-642. MR1476342 (98j:45011)
    • (1997) IMA J. Numer. Anal. , vol.17
    • Mastroianni, G.1    Monegato, G.2
  • 4
    • 0034432262 scopus 로고    scopus 로고
    • Stable and efficient spectral methods in unbounded domains using Laguerre functions
    • 1113-1133. MR1786133 (2001g:65165)
    • Shen J. Stable and efficient spectral methods in unbounded domains using Laguerre functions. SIAM J. Numer. Anal. 38 (2000) 1113-1133. MR1786133 (2001g:65165)
    • (2000) SIAM J. Numer. Anal. , vol.38
    • Shen, J.1
  • 5
    • 0942263243 scopus 로고    scopus 로고
    • Laguerre pseudospectral method for nonlinear partial differential equations
    • MR1914675 (2003e:65184) Ben-yu,J.Shen, Mastroianni, Cheng-long
    • Xu C.-l., and Guo B.-y. Laguerre pseudospectral method for nonlinear partial differential equations. J. Comp. Math. 20 (2002) 413-428 MR1914675 (2003e:65184) Ben-yu,J.Shen, Mastroianni, Cheng-long
    • (2002) J. Comp. Math. , vol.20 , pp. 413-428
    • Xu, C.-l.1    Guo, B.-y.2
  • 6
    • 0030394703 scopus 로고    scopus 로고
    • Chebyshev spectral solution of nonlinear Volterra-Hammerstein integral equations
    • Elnagar G.N., and Kazemi M. Chebyshev spectral solution of nonlinear Volterra-Hammerstein integral equations. J. Comput. Appl. Math. 76 (1996) 147C158
    • (1996) J. Comput. Appl. Math. , vol.76
    • Elnagar, G.N.1    Kazemi, M.2
  • 8
    • 57149087968 scopus 로고    scopus 로고
    • On spectral methods for Volterra type integral equations and the convergence analysis
    • Tang T., Xu X., and Cheng J. On spectral methods for Volterra type integral equations and the convergence analysis. J. Comput. Math. 26 6 (2008) 825-837
    • (2008) J. Comput. Math. , vol.26 , Issue.6 , pp. 825-837
    • Tang, T.1    Xu, X.2    Cheng, J.3
  • 10
    • 84972568056 scopus 로고
    • Szegos conjecture on Lebesgue constants for Legendre series
    • Qu C.K., and Wong R. Szegos conjecture on Lebesgue constants for Legendre series. Pacific J. Math. 135 (1988) 157C188
    • (1988) Pacific J. Math. , vol.135
    • Qu, C.K.1    Wong, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.