메뉴 건너뛰기




Volumn 182, Issue 2, 2006, Pages 1780-1794

Analysis of some new conservative schemes for nonlinear Schrödinger equation with wave operator

Author keywords

Conservation; Convergence; Difference scheme; Schr dinger equation

Indexed keywords

BOUNDARY VALUE PROBLEMS; CONVERGENCE OF NUMERICAL METHODS; FINITE DIFFERENCE METHOD; MATHEMATICAL OPERATORS; THEOREM PROVING;

EID: 33751539666     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.06.015     Document Type: Article
Times cited : (75)

References (14)
  • 1
    • 0041681179 scopus 로고
    • On the problem of numerical calculation for a class of the system of nonlinear Schrödinger equations with wave operator
    • Bo-ling G., and Hua-Xang L. On the problem of numerical calculation for a class of the system of nonlinear Schrödinger equations with wave operator. J. Numer. Methods Comput. Appl. 4 (1983) 176-182
    • (1983) J. Numer. Methods Comput. Appl. , vol.4 , pp. 176-182
    • Bo-ling, G.1    Hua-Xang, L.2
  • 2
    • 0041520666 scopus 로고    scopus 로고
    • A conservative numerical scheme for a class of nonlinear Schrödinger with wave operator
    • Zhang L., and Chang Q. A conservative numerical scheme for a class of nonlinear Schrödinger with wave operator. Appl. Math. Comput. 145 (2003) 603-612
    • (2003) Appl. Math. Comput. , vol.145 , pp. 603-612
    • Zhang, L.1    Chang, Q.2
  • 3
    • 0010295721 scopus 로고
    • Numerical simulation of nonlinear Schrödinger equation system: a new conservative scheme
    • Zhang F., Peréz-Ggarcía V.M., and Vázquez L. Numerical simulation of nonlinear Schrödinger equation system: a new conservative scheme. Appl. Math. Comput. 71 (1995) 165-177
    • (1995) Appl. Math. Comput. , vol.71 , pp. 165-177
    • Zhang, F.1    Peréz-Ggarcía, V.M.2    Vázquez, L.3
  • 4
    • 84965060858 scopus 로고
    • Finite difference calculus invariant structure of a class of algorithms for the nonlinear Klein-Gordon equation
    • Li S., and Vu-quoc. Finite difference calculus invariant structure of a class of algorithms for the nonlinear Klein-Gordon equation. SIAM Numer. Anal. 32 (1995) 1839-1864
    • (1995) SIAM Numer. Anal. , vol.32 , pp. 1839-1864
    • Li, S.1    Vu-quoc2
  • 5
    • 0043184050 scopus 로고
    • A numerical method for a system of generalized nonlinear Schrödinger equation
    • Chang Q., and Xu L. A numerical method for a system of generalized nonlinear Schrödinger equation. J. Comput. Math. 4 (1986) 191-199
    • (1986) J. Comput. Math. , vol.4 , pp. 191-199
    • Chang, Q.1    Xu, L.2
  • 6
    • 0001160015 scopus 로고    scopus 로고
    • Difference schemes for solving the generalized nonlinear Schrödinger equation
    • Chang Q., Jia E., and Sun W. Difference schemes for solving the generalized nonlinear Schrödinger equation. J. Comput. Phys. 148 (1999) 397-415
    • (1999) J. Comput. Phys. , vol.148 , pp. 397-415
    • Chang, Q.1    Jia, E.2    Sun, W.3
  • 7
    • 0005983470 scopus 로고
    • Conservative scheme for a model of nonlinear dispersive waves and its solitary waves induced by boundary notion
    • Chang Q., Wang G., and Guo B. Conservative scheme for a model of nonlinear dispersive waves and its solitary waves induced by boundary notion. J. Comput. Phys. 93 (1991) 360-375
    • (1991) J. Comput. Phys. , vol.93 , pp. 360-375
    • Chang, Q.1    Wang, G.2    Guo, B.3
  • 8
    • 33751521241 scopus 로고    scopus 로고
    • A new difference scheme for regularized long-wave equation
    • Zhang L., and Chang Q. A new difference scheme for regularized long-wave equation. Numer. Comput. Computer Appl., A Chin. J. 4 (2000) 247-254
    • (2000) Numer. Comput. Computer Appl., A Chin. J. , vol.4 , pp. 247-254
    • Zhang, L.1    Chang, Q.2
  • 9
    • 0002025756 scopus 로고
    • Two energy conserving numerical schemes for the Sine-Gordon equation
    • Zhang F., and Vázquez L. Two energy conserving numerical schemes for the Sine-Gordon equation. Appl. Math. Comput. 45 (1991) 17-30
    • (1991) Appl. Math. Comput. , vol.45 , pp. 17-30
    • Zhang, F.1    Vázquez, L.2
  • 11
    • 0003102674 scopus 로고    scopus 로고
    • An initial-boundary value problem of a nonlinear Klein-Gordon equation
    • Wong Y.S., Chang Q., and Gong L. An initial-boundary value problem of a nonlinear Klein-Gordon equation. Appl. Math. Comput. 84 (1997) 77-93
    • (1997) Appl. Math. Comput. , vol.84 , pp. 77-93
    • Wong, Y.S.1    Chang, Q.2    Gong, L.3
  • 12
    • 0041897399 scopus 로고
    • A conservative scheme for the Zakharov equations
    • Chang Q., and Jiang H. A conservative scheme for the Zakharov equations. J. Comput. Phys. 113 (1994) 309-319
    • (1994) J. Comput. Phys. , vol.113 , pp. 309-319
    • Chang, Q.1    Jiang, H.2
  • 13
    • 84968490649 scopus 로고
    • Finite difference method for generalized Zakharov equations
    • Chang Q., Guo B., and Jiang H. Finite difference method for generalized Zakharov equations. Math. Comput. 64 (1995) 537-553
    • (1995) Math. Comput. , vol.64 , pp. 537-553
    • Chang, Q.1    Guo, B.2    Jiang, H.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.