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Volumn 220, Issue 1-2, 2008, Pages 588-614

A Fourier spectral-discontinuous Galerkin method for time-dependent 3-D Schrödinger-Poisson equations with discontinuous potentials

Author keywords

Derivative matrix; Discontinuous Galerkin method; Discontinuous potentials; PML; Schr dinger Newton equations; Schr dinger Poisson equations; Spectral method; Total scattering wave formula

Indexed keywords

DIFFERENTIAL EQUATIONS; MATHEMATICAL OPERATORS; MATRIX ALGEBRA; NUMERICAL ANALYSIS; PARTIAL DIFFERENTIAL EQUATIONS; POISSON DISTRIBUTION; POISSON EQUATION;

EID: 47849084290     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2007.09.025     Document Type: Article
Times cited : (20)

References (26)
  • 1
    • 0347762801 scopus 로고    scopus 로고
    • A novel algorithm for the numerical integration of systems of ordinary differential equations arising in chemical problems
    • Aluffi-Pentini F., De Fronzo V., and Parisi V. A novel algorithm for the numerical integration of systems of ordinary differential equations arising in chemical problems. J. Math. Chem. 33 1 (2003) 1-15
    • (2003) J. Math. Chem. , vol.33 , Issue.1 , pp. 1-15
    • Aluffi-Pentini, F.1    De Fronzo, V.2    Parisi, V.3
  • 3
    • 0013499711 scopus 로고    scopus 로고
    • Derivation of the Schrödinger-Poisson equation from the quantum N-body problem
    • Bardos C., Erdos L., Golse F., Mauser N., and Yau H. Derivation of the Schrödinger-Poisson equation from the quantum N-body problem. C. R. Acad. Sci. t Sér. I Math. 334 6 (2002) 515-520
    • (2002) C. R. Acad. Sci. t Sér. I Math. , vol.334 , Issue.6 , pp. 515-520
    • Bardos, C.1    Erdos, L.2    Golse, F.3    Mauser, N.4    Yau, H.5
  • 4
    • 0031538201 scopus 로고    scopus 로고
    • On a one-dimensional Schrödinger-Poisson scattering model
    • Ben Abballah N., Degond P., and Markowich P.A. On a one-dimensional Schrödinger-Poisson scattering model. ZAMP 48 (1997) 35-55
    • (1997) ZAMP , vol.48 , pp. 35-55
    • Ben Abballah, N.1    Degond, P.2    Markowich, P.A.3
  • 5
    • 28044459877 scopus 로고
    • A perfectly matched layer for the absorption of electromagnetic waves
    • Berenger J.P. A perfectly matched layer for the absorption of electromagnetic waves. J. Comput. Phys. 114 2 (1994) 185-200
    • (1994) J. Comput. Phys. , vol.114 , Issue.2 , pp. 185-200
    • Berenger, J.P.1
  • 6
    • 0000977283 scopus 로고
    • Importance of space-charge effects in resonant tunneling devices
    • Cahay M., McLennan M., Datta S., and Lundstrom M.S. Importance of space-charge effects in resonant tunneling devices. Appl. Phys. Lett. 50 (1987) 612-614
    • (1987) Appl. Phys. Lett. , vol.50 , pp. 612-614
    • Cahay, M.1    McLennan, M.2    Datta, S.3    Lundstrom, M.S.4
  • 7
    • 24944580977 scopus 로고    scopus 로고
    • Spectral element method for the Schrödinger-Poisson system
    • Cheng C., Liu Q., Lee J., and Massoud H.Z. Spectral element method for the Schrödinger-Poisson system. J. Comput. Electron. 3 (2004) 417-421
    • (2004) J. Comput. Electron. , vol.3 , pp. 417-421
    • Cheng, C.1    Liu, Q.2    Lee, J.3    Massoud, H.Z.4
  • 8
    • 0036501083 scopus 로고    scopus 로고
    • Exponential time differencing for stiff systems
    • Cox S.M., and Matthews P.C. Exponential time differencing for stiff systems. J. Comput. Phys. 176 (2002) 430-455
    • (2002) J. Comput. Phys. , vol.176 , pp. 430-455
    • Cox, S.M.1    Matthews, P.C.2
  • 9
    • 27344459965 scopus 로고    scopus 로고
    • Fast calculation of energy and mass preserving solutions of Schrödinger-Poisson systems on unbounded domains
    • Ehrhardt M., and Zisowsky A. Fast calculation of energy and mass preserving solutions of Schrödinger-Poisson systems on unbounded domains. J. Comput. Appl. Math. 187 1 (2006) 1-28
    • (2006) J. Comput. Appl. Math. , vol.187 , Issue.1 , pp. 1-28
    • Ehrhardt, M.1    Zisowsky, A.2
  • 12
    • 33645944934 scopus 로고
    • Local density-functional theory of frequency-dependent linear response
    • Gross E.K.U., and Kohn W. Local density-functional theory of frequency-dependent linear response. Phys. Rev. Lett. 55 (1985) 2850-2852
    • (1985) Phys. Rev. Lett. , vol.55 , pp. 2850-2852
    • Gross, E.K.U.1    Kohn, W.2
  • 13
    • 0026679593 scopus 로고
    • Transparent boundary condition for the beam propagation method
    • Haldley G.R. Transparent boundary condition for the beam propagation method. IEEE J. Quantum Electron. 28 (1992) 363-370
    • (1992) IEEE J. Quantum Electron. , vol.28 , pp. 363-370
    • Haldley, G.R.1
  • 14
    • 47849094211 scopus 로고    scopus 로고
    • R. Harrison, I. Moroz, K.P. Tod, A numerical study of the Schrödinger-Newton equation 2: the time-dependent problem, math-ph/0208046, 2002.
    • R. Harrison, I. Moroz, K.P. Tod, A numerical study of the Schrödinger-Newton equation 2: the time-dependent problem, math-ph/0208046, 2002.
  • 15
    • 0242371113 scopus 로고    scopus 로고
    • A numerical study of the Schrödinger-Newton equations
    • Harrison R., Moroz I., and Tod K.P. A numerical study of the Schrödinger-Newton equations. Nonlinearity 16 (2003) 101-122
    • (2003) Nonlinearity , vol.16 , pp. 101-122
    • Harrison, R.1    Moroz, I.2    Tod, K.P.3
  • 16
    • 76449100234 scopus 로고    scopus 로고
    • Conservative local discontinuous Galerkin methods for time dependent Schroedinger equation
    • Lu T., Cai W., and Zhang P.W. Conservative local discontinuous Galerkin methods for time dependent Schroedinger equation. Internat. J. Numer. Anal. Modeling 1 (2005) 45-65
    • (2005) Internat. J. Numer. Anal. Modeling , vol.1 , pp. 45-65
    • Lu, T.1    Cai, W.2    Zhang, P.W.3
  • 17
    • 0000071243 scopus 로고
    • Electron confinement in quantum nanostructures: self-consistent Poisson-Schrödinger theory
    • Luscombe J.H., Bouchard A.M., and Luban M. Electron confinement in quantum nanostructures: self-consistent Poisson-Schrödinger theory. Phys. Rev. B 46 (1992) 10262-10268
    • (1992) Phys. Rev. B , vol.46 , pp. 10262-10268
    • Luscombe, J.H.1    Bouchard, A.M.2    Luban, M.3
  • 20
    • 0031161655 scopus 로고    scopus 로고
    • Discrete transparent boundary conditions for Schrödinger-type equations
    • Schmidt F., and Yevick D. Discrete transparent boundary conditions for Schrödinger-type equations. J. Comput. Phys. 134 (1997) 96-107
    • (1997) J. Comput. Phys. , vol.134 , pp. 96-107
    • Schmidt, F.1    Yevick, D.2
  • 21
    • 47849086741 scopus 로고    scopus 로고
    • F. Siddhartha Guzman, L. Arturo Urena-Lopez, Gravitational cooling of self-gravitating Bose-Condensates, astro-ph/0603613, 2006.
    • F. Siddhartha Guzman, L. Arturo Urena-Lopez, Gravitational cooling of self-gravitating Bose-Condensates, astro-ph/0603613, 2006.
  • 22
    • 49849110942 scopus 로고
    • Iteration methods for calculating self-consistent fields in semiconductor inversion layers
    • Stern F. Iteration methods for calculating self-consistent fields in semiconductor inversion layers. J. Comput. Phys. 6 1 (1970) 56-67
    • (1970) J. Comput. Phys. , vol.6 , Issue.1 , pp. 56-67
    • Stern, F.1
  • 23
    • 47849128831 scopus 로고    scopus 로고
    • A. Taflove, S.C. Hagness, Computational Electromagnetics: The Finite-Difference Time-Domain Method. second ed., Artech House, Boston, London, 2000.
    • A. Taflove, S.C. Hagness, Computational Electromagnetics: The Finite-Difference Time-Domain Method. second ed., Artech House, Boston, London, 2000.
  • 24
    • 0039387882 scopus 로고    scopus 로고
    • Open boundary conditions for a time-dependent analysis of the resonant tunneling structure
    • Talebian M., and Pötz W. Open boundary conditions for a time-dependent analysis of the resonant tunneling structure. Appl. Phys. Lett. 69 (1996) 1148-1150
    • (1996) Appl. Phys. Lett. , vol.69 , pp. 1148-1150
    • Talebian, M.1    Pötz, W.2
  • 25
    • 47849111989 scopus 로고    scopus 로고
    • J. Werschnik, E.K.U. Gross, K. Burke, Time-dependent density functional theory: past, present, and future, cond-mat/0410362, 2004.
    • J. Werschnik, E.K.U. Gross, K. Burke, Time-dependent density functional theory: past, present, and future, cond-mat/0410362, 2004.
  • 26
    • 16844366209 scopus 로고    scopus 로고
    • Local discontinuous Galerkin methods for nonlinear Schrödinger equations
    • Xu Y., and Snhu C.W. Local discontinuous Galerkin methods for nonlinear Schrödinger equations. J. Comput. Phys. 205 (2005) 72-97
    • (2005) J. Comput. Phys. , vol.205 , pp. 72-97
    • Xu, Y.1    Snhu, C.W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.