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Volumn 106, Issue 1, 1999, Pages 87-98

A conditionally P-stable fourth-order exponential-fitting method for y″ = f(x, y)

Author keywords

Exponential fitting; Hybrid multistep method; Ordinary differential equation; P stability

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS;

EID: 0032680240     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0377-0427(99)00055-2     Document Type: Article
Times cited : (75)

References (10)
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  • 2
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    • Numerical methods for y″ = f(x, y), via rational approximations to the cosine
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    • Coleman, J.P.1
  • 3
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    • P-stability and exponential-fitting methods for y″ = f(x,y)
    • J.P. Coleman, L.Gr. Ixaru, P-stability and exponential-fitting methods for y″ = f(x,y), IMA J. Numer. Anal. 16 (1996) 179-199.
    • (1996) IMA J. Numer. Anal. , vol.16 , pp. 179-199
    • Coleman, J.P.1    Ixaru, L.Gr.2
  • 6
    • 0031079516 scopus 로고    scopus 로고
    • EXPFIT4 - A FORTRAN program for the numerical solution of nonlinear second-order initial-value problems
    • L.Gr. Ixaru, H. De Meyer, G. Vanden Berghe, M. Van Daele, EXPFIT4 - a FORTRAN program for the numerical solution of nonlinear second-order initial-value problems, Comput. Phys. Commun. 100 (1997) 71-80.
    • (1997) Comput. Phys. Commun. , vol.100 , pp. 71-80
    • Ixaru, L.Gr.1    De Meyer, H.2    Berghe, G.V.3    Van Daele, M.4
  • 7
    • 77958409581 scopus 로고
    • Symmetric multistep methods for periodic initial value problems
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    • (1976) J. Inst. Math. Appl. , vol.18 , pp. 189-202
    • Lambert, J.D.1    Watson, I.A.2
  • 8
    • 0000926830 scopus 로고
    • A four-step phase-fitted method for the numerical integration of second-order initial-value problems
    • A.D. Raptis, T.E. Simos, A four-step phase-fitted method for the numerical integration of second-order initial-value problems, BIT 31 (1991) 160-168.
    • (1991) BIT , vol.31 , pp. 160-168
    • Raptis, A.D.1    Simos, T.E.2
  • 9
    • 0001499606 scopus 로고
    • A Runge-Kutta-Nyström method for the numerical integration of special second-order periodic initial-value problems
    • T.E. Simos, E. Dimas, A.B. Sideridis, A Runge-Kutta-Nyström method for the numerical integration of special second-order periodic initial-value problems, J. Comput. Appl. Math. 51 (1994) 317-326.
    • (1994) J. Comput. Appl. Math. , vol.51 , pp. 317-326
    • Simos, T.E.1    Dimas, E.2    Sideridis, A.B.3
  • 10
    • 0025596658 scopus 로고
    • Numerov-type methods with maximal phase-lag for the numerical integration of the one-dimensional Schrödinger equation
    • T.E. Simos, A.D. Raptis, Numerov-type methods with maximal phase-lag for the numerical integration of the one-dimensional Schrödinger equation, Computing 45 (1990) 175-181.
    • (1990) Computing , vol.45 , pp. 175-181
    • Simos, T.E.1    Raptis, A.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.