메뉴 건너뛰기




Volumn 21, Issue 3, 2001, Pages 301-319

New P-stable exponentially-fitted methods for the numerical solution of the Schrödinger equation

Author keywords

Exponential fitting; Finite difference; Multistep methods; P stability; Scattering problems; Schr dinger equation

Indexed keywords

COMPUTATIONAL COMPLEXITY; CURVE FITTING; MATHEMATICAL MODELS;

EID: 0034924872     PISSN: 09270256     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0927-0256(01)00146-X     Document Type: Article
Times cited : (4)

References (41)
  • 5
    • 84968515967 scopus 로고
    • An improved eigenvalue corrector formula for solving Schrödinger's equation for central fields
    • (1961) Math. Comp. , vol.15 , pp. 363-374
    • Cooley, J.W.1
  • 16
    • 0020458747 scopus 로고
    • Two-step methods for the numerical solution of the Schrödinger equation
    • (1982) Computing , vol.28 , pp. 373-378
    • Raptis, A.D.1
  • 17
    • 0000172670 scopus 로고
    • Exponentially-fitted solutions of the eigenvalue Schrödinger equation with automatic error control
    • (1983) Comput. Phys. Commun. , vol.28 , pp. 427-431
    • Raptis, A.D.1
  • 18
    • 0025596658 scopus 로고
    • Numerov-type methods with minimal phase-lag for the numerical integration of the one-dimensional Schrödinger equation
    • (1990) Computing , vol.45 , pp. 175-181
    • Simos, T.E.1    Raptis, A.D.2
  • 22
    • 0032842252 scopus 로고    scopus 로고
    • An exponentially-fitted eighth order method for the numerical solution of the Schrödinger equation
    • (1999) J. Comput. Appl. Math. , vol.108 , pp. 177-194
    • Simos, T.E.1
  • 23
    • 0033148222 scopus 로고    scopus 로고
    • Explicit eighth order methods for the numerical integration of initial-value problems with periodic or oscillating solutions
    • (1999) Comput. Phys. Commun. , vol.119 , pp. 32-44
    • Simos, T.E.1
  • 24
    • 0002895655 scopus 로고    scopus 로고
    • An eighth order exponentially-fitted method for the numerical integration of the Schrödinger equation
    • (1998) Comput. Chem. , vol.22 , pp. 467-489
    • Simos, T.E.1
  • 25
    • 0000778465 scopus 로고
    • Error analysis of exponential-fitted methods for the numerical solution of the one-dimensional Schrödinger equation
    • (1993) Phys. Lett. A , vol.177 , pp. 345-350
    • Simos, T.E.1
  • 30
    • 34250466523 scopus 로고
    • Chebyshevian multistep methods for ordinary differential equations
    • (1972) Numer. Math. , vol.19 , pp. 65-75
    • Lyche, T.1
  • 32
  • 35
    • 0021316047 scopus 로고
    • Phase properties of high order, almost P-stable formulae
    • (1984) BIT , vol.24 , pp. 225-238
    • Thomas, R.M.1
  • 41
    • 0004479705 scopus 로고    scopus 로고
    • Exponentially fitted Runge-Kutta methods for the numerical solution of the Schrödinger equation and related problems
    • (2000) Comput. Mater. Sci. , vol.18 , pp. 315-332
    • Simos, T.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.