메뉴 건너뛰기




Volumn 43, Issue 2, 2010, Pages 201-238

Generalized jacobi rational spectral method and its applications

Author keywords

Applications; Generalized Jacobi rational approximation; Spectral method on the whole line

Indexed keywords

CONVERGENCE ANALYSIS; FISHER EQUATION; KLEIN-GORDON; NUMERICAL RESULTS; ORTHOGONAL SYSTEMS; RATIONAL APPROXIMATIONS; SPECTRAL METHOD ON THE WHOLE LINE; SPECTRAL METHODS;

EID: 77951141716     PISSN: 08857474     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10915-010-9353-6     Document Type: Article
Times cited : (32)

References (23)
  • 3
    • 0002717130 scopus 로고
    • Orthogonal rational functions on a semi-infinite interval
    • 0614.42013 10.1016/0021-9991(87)90002-7 888932
    • J.P. Boyd 1987 Orthogonal rational functions on a semi-infinite interval J. Comput. Phys. 70 63 88 0614.42013 10.1016/0021-9991(87)90002-7 888932
    • (1987) J. Comput. Phys. , vol.70 , pp. 63-88
    • Boyd, J.P.1
  • 4
    • 0001718791 scopus 로고
    • Spectral methods using rational basis functions on an infinite interval
    • 0615.65090 10.1016/0021-9991(87)90158-6 892255
    • J.P. Boyd 1987 Spectral methods using rational basis functions on an infinite interval J. Comput. Phys. 69 112 142 0615.65090 10.1016/0021-9991(87) 90158-6 892255
    • (1987) J. Comput. Phys. , vol.69 , pp. 112-142
    • Boyd, J.P.1
  • 9
    • 33746187880 scopus 로고
    • Numerical solutions of nonlinear wave equations
    • 0538.65079 (in Chinese)
    • B.-Y. Guo 1982 Numerical solutions of nonlinear wave equations Numer. Math., A J. Chin. Univ. 4 46 56 0538.65079 (in Chinese)
    • (1982) Numer. Math., A J. Chin. Univ. , vol.4 , pp. 46-56
    • Guo, B.-Y.1
  • 11
    • 0034652883 scopus 로고    scopus 로고
    • Jacobi approximations in certain Hilbert spaces and their applications to singular differential equations
    • 0951.41006 10.1006/jmaa.1999.6677 1741531
    • B.-Y. Guo 2000 Jacobi approximations in certain Hilbert spaces and their applications to singular differential equations J. Math. Anal. Appl. 243 373 408 0951.41006 10.1006/jmaa.1999.6677 1741531
    • (2000) J. Math. Anal. Appl. , vol.243 , pp. 373-408
    • Guo, B.-Y.1
  • 12
    • 0011906643 scopus 로고
    • Analytic solutions of the Fisher equation
    • 0759.35026 10.1088/0305-4470/24/3/023 1098210
    • B.-Y. Guo Z.-X. Chen 1991 Analytic solutions of the Fisher equation J. Phys. A, Math. Gen. 24 645 650 0759.35026 10.1088/0305-4470/24/3/023 1098210
    • (1991) J. Phys. A, Math. Gen. , vol.24 , pp. 645-650
    • Guo, B.-Y.1    Chen, Z.-X.2
  • 13
    • 0041028677 scopus 로고    scopus 로고
    • On spectral approximations using modified Legendre rational functions: Application to the Korteweg de Vries equation on the half line
    • 0992.65111 1855668
    • B.-Y. Guo J. Shen 2001 On spectral approximations using modified Legendre rational functions: application to the Korteweg de Vries equation on the half line Indiana Univ. Math. J. 50 181 204 0992.65111 1855668
    • (2001) Indiana Univ. Math. J. , vol.50 , pp. 181-204
    • Guo, B.-Y.1    Shen, J.2
  • 14
    • 33745038998 scopus 로고    scopus 로고
    • Optimal spectral-galerkin methods using generalized jacobi polynomials
    • DOI 10.1007/s10915-005-9055-7
    • B.-Y. Guo J. Shen L.-L. Wang 2006 Optimal spectral-Galerkin methods using generalized Jacobi polynomials J. Sci. Comput. 27 305 322 1102.76047 10.1007/s10915-005-9055-7 2285783 (Pubitemid 43876946)
    • (2006) Journal of Scientific Computing , vol.27 , Issue.1-3 , pp. 305-322
    • Guo, B.-Y.1    Shen, J.2    Wang, L.-L.3
  • 15
    • 61549094949 scopus 로고    scopus 로고
    • Generalized Jacobi polynomials/functions and their applications
    • 1171.33006 10.1016/j.apnum.2008.04.003 2495135
    • B.-Y. Guo J. Shen L.-L. Wang 2009 Generalized Jacobi polynomials/ functions and their applications Appl. Numer. Math. 59 1011 1028 1171.33006 10.1016/j.apnum.2008.04.003 2495135
    • (2009) Appl. Numer. Math. , vol.59 , pp. 1011-1028
    • Guo, B.-Y.1    Shen, J.2    Wang, L.-L.3
  • 16
    • 0034197003 scopus 로고    scopus 로고
    • A rational approximation and its applications to differential equations on the half line
    • DOI 10.1023/A:1007698525506
    • B.-Y. Guo J. Shen Z.-Q. Wang 2000 A rational approximation and its applications to differential equations on the half line J. Sci. Comput. 15 117 148 0984.65104 10.1023/A:1007698525506 1827574 (Pubitemid 32498135)
    • (2000) Journal of Scientific Computing , vol.15 , Issue.2 , pp. 117-147
    • Guo, B.-Y.1    Shen, J.2    Wang, Z.-Q.3
  • 17
    • 0037049919 scopus 로고    scopus 로고
    • Chebyshev rational spectral and pseudospectral methods on a semi-infinite interval
    • DOI 10.1002/nme.392
    • B.-Y. Guo J. Shen Z.-Q. Wang 2002 Chebyshev rational spectral and pseudospectral methods on a semi-infinite interval Int. J. Numer. Methods Eng. 53 65 84 1001.65129 10.1002/nme.392 1870735 (Pubitemid 34018777)
    • (2002) International Journal for Numerical Methods in Engineering , vol.53 , Issue.1 , pp. 65-84
    • Guo, B.-Y.1    Shen, J.2    Wang, Z.-Q.3
  • 18
    • 61349166554 scopus 로고    scopus 로고
    • Modified Chebyshev rational spectral method for the whole line
    • Guo, B.-Y., Wang, Z.-Q.: Modified Chebyshev rational spectral method for the whole line. Discrete Contin. Dyn. Syst., 365-374 (2003)
    • (2003) Discrete Contin. Dyn. Syst. , pp. 365-374
    • Guo, B.-Y.1    Wang, Z.-Q.2
  • 19
    • 3142683796 scopus 로고    scopus 로고
    • Legendre rational approximation on the whole line
    • 1084.41006 10.1360/04za0014 2079538
    • B.-Y. Guo Z.-Q. Wang 2004 Legendre rational approximation on the whole line Sci. China, Ser. A, Math. 47 155 164 1084.41006 10.1360/04za0014 2079538
    • (2004) Sci. China, Ser. A, Math. , vol.47 , pp. 155-164
    • Guo, B.-Y.1    Wang, Z.-Q.2
  • 21
    • 61349178906 scopus 로고    scopus 로고
    • Some recent advances on spectral methods for unbounded domains
    • 2513685
    • J. Shen L.-L. Wang 2009 Some recent advances on spectral methods for unbounded domains Commun. Comput. Phys. 5 159 241 2513685
    • (2009) Commun. Comput. Phys. , vol.5 , pp. 159-241
    • Shen, J.1    Wang, L.-L.2
  • 22
    • 0000765110 scopus 로고
    • Numerical solution of a nonlinear Klein-Gordon equation
    • 0387.65076 10.1016/0021-9991(78)90038-4 503140
    • W. Strauss L. Vazquez 1978 Numerical solution of a nonlinear Klein-Gordon equation J. Comput. Phys. 28 271 278 0387.65076 10.1016/0021-9991(78)90038-4 503140
    • (1978) J. Comput. Phys. , vol.28 , pp. 271-278
    • Strauss, W.1    Vazquez, L.2
  • 23
    • 42349102412 scopus 로고    scopus 로고
    • Jacobi rational approximation and spectral method for differential equations of degenerate type
    • 1127.65047 10.1090/S0025-5718-07-02035-2 2353948
    • Z.-Q. Wang B.-Y. Guo 2008 Jacobi rational approximation and spectral method for differential equations of degenerate type Math. Comput. 77 181 199 1127.65047 10.1090/S0025-5718-07-02035-2 2353948
    • (2008) Math. Comput. , vol.77 , pp. 181-199
    • Wang, Z.-Q.1    Guo, B.-Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.