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Volumn 56, Issue 3, 2006, Pages 221-235

A generalization of prolate spheroidal functions with more uniform resolution to the triangle

Author keywords

Polynomial approximation; Prolate spheroidal; Sturm liouville; Triangle

Indexed keywords

BOUNDARY CONDITIONS; DIFFERENTIAL EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS; LINEAR EQUATIONS;

EID: 33846701057     PISSN: 00220833     EISSN: 15732703     Source Type: Journal    
DOI: 10.1007/s10665-006-9080-z     Document Type: Article
Times cited : (6)

References (14)
  • 1
    • 0035420586 scopus 로고    scopus 로고
    • Prolate spheroidal wavefunctions, quadrature and interpolation
    • Xiao H, Rokhlin V, Yarvin N (2001) Prolate spheroidal wavefunctions, quadrature and interpolation. Inverse Problems 17:805-838
    • (2001) Inverse Problems , vol.17 , pp. 805-838
    • Xiao, H.1    Rokhlin, V.2    Yarvin, N.3
  • 2
    • 4544383537 scopus 로고    scopus 로고
    • Prolate spheroidal wavefunctions as an alternative to chebyshev and legendre polynomials for spectral and pseudospectral algorithms
    • Boyd JP (2004) Prolate spheroidal wavefunctions as an alternative to chebyshev and legendre polynomials for spectral and pseudospectral algorithms. J Comp Phys 199:688-716
    • (2004) J Comp Phys , vol.199 , pp. 688-716
    • Boyd, J.P.1
  • 3
    • 17644389543 scopus 로고    scopus 로고
    • Computation of grid points, quadrature weights and derivatives for spectral element methods using prolate spheroidal wave functions - Prolate elements
    • Boyd JP (2004) Computation of grid points, quadrature weights and derivatives for spectral element methods using prolate spheroidal wave functions - prolate elements. ACM Trans Comp Logic 31:149-165
    • (2004) ACM Trans Comp Logic , vol.31 , pp. 149-165
    • Boyd, J.P.1
  • 4
    • 13444255982 scopus 로고    scopus 로고
    • Wave propagation using bases for bandlimited functions
    • Beylkin G, Sandberg K (2005) Wave propagation using bases for bandlimited functions. Wave Motion 41:263-291
    • (2005) Wave Motion , vol.41 , pp. 263-291
    • Beylkin, G.1    Sandberg, K.2
  • 5
    • 33745222937 scopus 로고    scopus 로고
    • Spectral methods based on prolate spheroidal wave functions for hyperbolic pdes
    • Chen QY, Gottlieb D, Hesthaven JS (2005) Spectral methods based on prolate spheroidal wave functions for hyperbolic pdes. SIAM J Num Anal 43:1912-1933
    • (2005) SIAM J Num Anal , vol.43 , pp. 1912-1933
    • Chen, Q.Y.1    Gottlieb, D.2    Hesthaven, J.S.3
  • 6
    • 33846662025 scopus 로고    scopus 로고
    • The natural function space for triangular and tetrahedral spectral elements
    • Los Alamos National Laboratory
    • Wingate BA, Taylor MA (1998) The natural function space for triangular and tetrahedral spectral elements. Technical Report LA-UR-98-1711, Los Alamos National Laboratory
    • (1998) Technical Report LA-UR-98-1711
    • Wingate, B.A.1    Taylor, M.A.2
  • 7
    • 0038363138 scopus 로고    scopus 로고
    • Spectral approximations on the triangle
    • Owens RG (1998) Spectral approximations on the triangle. Proc Roy Soc Lond A, 454:857-872
    • (1998) Proc Roy Soc Lond A , vol.454 , pp. 857-872
    • Owens, R.G.1
  • 8
    • 0041327217 scopus 로고    scopus 로고
    • Approximation on simplices with respect to weighted Sobolev norms
    • Braess D, Schwab C (2000) Approximation on simplices with respect to weighted Sobolev norms. J Approx Theory 103(2):329-337
    • (2000) J Approx Theory , vol.103 , Issue.2 , pp. 329-337
    • Braess, D.1    Schwab, C.2
  • 9
    • 0001655705 scopus 로고
    • Sur une famille de polynomes à deux variables orthogonaux dans un triangle
    • Proriol J (1957) Sur une famille de polynomes à deux variables orthogonaux dans un triangle. Comptes Rendus de l'Académie des Sciences Paris 245:2459-2461
    • (1957) Comptes Rendus De L'Académie Des Sciences Paris , vol.245 , pp. 2459-2461
    • Proriol, J.1
  • 11
    • 0002095317 scopus 로고
    • Two-variable analogues of the classical orthogonal polynomials
    • In: Askey RA (ed) Academic Press
    • Koornwinder T (1975) Two-variable analogues of the classical orthogonal polynomials. In: Askey RA (ed) Theory and applications of special functions. Academic Press, pp. 435-495
    • (1975) Theory and Applications of Special Functions , pp. 435-495
    • Koornwinder, T.1
  • 12
    • 0026371189 scopus 로고
    • Spectral methods on triangles and other domains
    • Dubiner M (1991) Spectral methods on triangles and other domains. J Sci Comp 6:345-390
    • (1991) J Sci Comp , vol.6 , pp. 345-390
    • Dubiner, M.1
  • 13
    • 0029412889 scopus 로고
    • A triangular spectral element method; applications to the incompressible Navier-Stokes equations
    • Sherwin SJ, Karniadakis GE (1995) A triangular spectral element method; applications to the incompressible Navier-Stokes equations. Comp Meth Appl Mech Eng 123:189-229
    • (1995) Comp Meth Appl Mech Eng , vol.123 , pp. 189-229
    • Sherwin, S.J.1    Karniadakis, G.E.2
  • 14
    • 0042694237 scopus 로고    scopus 로고
    • An algorithm for computing Fekete points in the triangle
    • Taylor MA, Wingate BA, Vincent R (2000) An algorithm for computing Fekete points in the triangle. SIAM J Numer Anal 38:1707-1720
    • (2000) SIAM J Numer Anal , vol.38 , pp. 1707-1720
    • Taylor, M.A.1    Wingate, B.A.2    Vincent, R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.