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Volumn 73, Issue 4, 1996, Pages 419-448

A time- and spaceadaptive algorithm for the linear time-dependent Schrödinger equation

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Indexed keywords


EID: 0039270375     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002110050199     Document Type: Article
Times cited : (29)

References (20)
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  • 2
    • 0002341433 scopus 로고
    • On fully discrete galerkin methods of second order temporal accuracy for the nonlinear Schrödinger equation
    • Akrivis, G.D., Dougalis, V.A., Karakashian, O.A. (1991): On fully discrete Galerkin methods of second order temporal accuracy for the nonlinear Schrödinger equation. Numer. Math. 59, 31-53
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    • Akrivis, G.D.1    Dougalis, V.A.2    Karakashian, O.A.3
  • 4
    • 0019368081 scopus 로고
    • Error estimates for the solution of the radial Schrödinger equation by the Rayleigh-Ritz finite element method
    • Botha, J.F., Schoombie S.W. (1981): Error estimates for the solution of the radial Schrödinger equation by the Rayleigh-Ritz finite element method. IAM J. Numer. Anal. 1, 47-63
    • (1981) IAM J. Numer. Anal. , vol.1 , pp. 47-63
    • Botha, J.F.1    Schoombie, S.W.2
  • 5
    • 0000677166 scopus 로고
    • Stability analysis of finite difference schemes for quantum mechanical equations of motion
    • Chattaraj, P.K., Koneru, S.R., Deb, B.M. (1987): Stability analysis of finite difference schemes for quantum mechanical equations of motion. JCP 72, 504-512
    • (1987) JCP , vol.72 , pp. 504-512
    • Chattaraj, P.K.1    Koneru, S.R.2    Deb, B.M.3
  • 6
    • 0016541865 scopus 로고
    • Approximation by finite element functions using local regularizations
    • Clément P. (1975): Approximation by finite element functions using local regularizations. RAIRO Anal. Numér. 2, 77-84
    • (1975) RAIRO Anal. Numér. , vol.2 , pp. 77-84
    • Clément, P.1
  • 7
    • 0022695120 scopus 로고
    • Stable explicit schemes for equations of the Schrödinger type
    • Chan, T.F., Lee, D., Shen, L. (1986): Stable explicit schemes for equations of the Schrödinger type. SIAM J. Numer. Anal. 23, 274-281
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    • Chan, T.F.1    Lee, D.2    Shen, L.3
  • 8
    • 0023331015 scopus 로고
    • Stablility analysis of difference schemes for variable coefficient Schrodinger type equations
    • Chan, T.F., Shen, L. (1987): Stablility analysis of difference schemes for variable coefficient Schrodinger type equations. SIAM J. Numer. Anal. 24, 336-349
    • (1987) SIAM J. Numer. Anal. , vol.24 , pp. 336-349
    • Chan, T.F.1    Shen, L.2
  • 9
    • 0026818262 scopus 로고
    • An unconditionally stable 3-level explicit difference scheme for the Schrödinger equation with a variable coefficient
    • Dai, W. (1992): An unconditionally stable 3-level explicit difference scheme for the Schrödinger equation with a variable coefficient. SIAM J. Numer. Anal. 29, 174-181
    • (1992) SIAM J. Numer. Anal. , vol.29 , pp. 174-181
    • Dai, W.1
  • 11
    • 1542639888 scopus 로고    scopus 로고
    • A convergent adaptive algorithm for Poisson's equation
    • to appear
    • Dörfler, W.: A convergent adaptive algorithm for Poisson's equation. SIAM J. Numer. Anal. (to appear)
    • SIAM J. Numer. Anal.
    • Dörfler, W.1
  • 12
    • 0042973847 scopus 로고
    • Solution of the Schrödinger equation by a spectral method
    • Feit, M.D., Fleck, F.A., Jr., Steger, A. (1982): Solution of the Schrödinger equation by a spectral method. JCP 47, 412-433
    • (1982) JCP , vol.47 , pp. 412-433
    • Feit, M.D.1    Fleck F.A., Jr.2    Steger, A.3
  • 13
    • 0001027363 scopus 로고
    • Conjugent gradient-type methods for linear systems with complex symmetric coefficient matrices
    • Freund R.W. (1992): Conjugent gradient-type methods for linear systems with complex symmetric coefficient matrices. SIAM J. Sci. Stat. Comput. 13, 425-448
    • (1992) SIAM J. Sci. Stat. Comput. , vol.13 , pp. 425-448
    • Freund, R.W.1
  • 15
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    • Adaptive finite element methods for diffusion and convection problems
    • Johnson, C. (1990): Adaptive finite element methods for diffusion and convection problems. Comput. Meth. Appl. Mech. Engrg. 82, 301-322
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    • Johnson, C.1
  • 16
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    • A Fourier method solution for the time dependent Schrödinger equation as a tool in molecular dynamics
    • Kosloff, D., Kosloff, R. (1983): A Fourier method solution for the time dependent Schrödinger equation as a tool in molecular dynamics. JCP 52, 35-53
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  • 20
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    • On the multi-level splitting of finite element spaces
    • Yserentant, Y. (1986): On the multi-level splitting of finite element spaces. Numer. Math. 49, 379-412
    • (1986) Numer. Math. , vol.49 , pp. 379-412
    • Yserentant, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.