메뉴 건너뛰기
Applied Mathematics Letters
Volumn 9, Issue 6, 1996, Pages 61-66
A modified Runge-Kutta method for the numerical solution of ODE's with oscillation solutions
Author keywords

Oscillating solutions; Phase lag; Runge Kutta methods
Indexed keywords

EID: 0013397128     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/0893-9659(96)00095-X     Document Type: Article
Times cited : (14)
References (7)
  • 1
    • 0038440068 scopus 로고
    • Explicit Runge-Kutta pairs with one more derivative evaluation than the minimum
    • P.W. Sharp and E. Smart, Explicit Runge-Kutta pairs with one more derivative evaluation than the minimum, SIAM J. Sci. Comput. 14, 338-348, (1993).
    • (1993) SIAM J. Sci. Comput. , vol.14 , pp. 338-348
    • Sharp, P.W.1    Smart, E.2
  • 2
    • 0023366337 scopus 로고
    • Explicit Runge-Kutta (-Nyström) methods with reduced phase errors for computing oscillating solutions
    • P.J. van der Houwen and B.P. Sommeijer, Explicit Runge-Kutta (-Nyström) methods with reduced phase errors for computing oscillating solutions, SIAM J. Numer. Anal. 24, 595-617, (1987).
    • (1987) SIAM J. Numer. Anal. , vol.24 , pp. 595-617
    • Van Der Houwen, P.J.1    Sommeijer, B.P.2
  • 3
    • 0002659592 scopus 로고
    • Runge-Kutta interpolants with minimal phase-lag
    • T.E. Simos, Runge-Kutta interpolants with minimal phase-lag, Computers Math. Applic. 26 (8), 43-49, (1993).
    • (1993) Computers Math. Applic. , vol.26 , Issue.8 , pp. 43-49
    • Simos, T.E.1
  • 4
    • 0019010803 scopus 로고
    • A one-step method for direct integration of structural dynamics equations
    • L. Brusa and L. Nigro, A one-step method for direct integration of structural dynamics equations, Internat. J. Numer. Methods Engrg. 15, 685-699, (1980).
    • (1980) Internat. J. Numer. Methods Engrg. , vol.15 , pp. 685-699
    • Brusa, L.1    Nigro, L.2
  • 5
    • 0021578695 scopus 로고
    • A Noumerov-type method with minimal phase-lag for the integration of second order periodic initial-value problems
    • M.M. Chawla and P.S. Rao, A Noumerov-type method with minimal phase-lag for the integration of second order periodic initial-value problems, J. Comput. Appl. Math. 11, 277-281, (1984).
    • (1984) J. Comput. Appl. Math. , vol.11 , pp. 277-281
    • Chawla, M.M.1    Rao, P.S.2
  • 6
    • 0000926830 scopus 로고
    • A four-step phase fitted method for the numerical integration of second order initial-value problems
    • A.D. Raptis and T.E. Simos, A four-step phase fitted method for the numerical integration of second order initial-value problems, BIT 31, 89-121, (1990).
    • (1990) BIT , vol.31 , pp. 89-121
    • Raptis, A.D.1    Simos, T.E.2
  • 7
    • 0001330331 scopus 로고
    • Numerical methods for y″ = f(x, y) via rational approximation for the cosine
    • J.P. Coleman, Numerical methods for y″ = f(x, y) via rational approximation for the cosine, IMA J. Numer. Anal. 9, 145-165, (1989).
    • (1989) IMA J. Numer. Anal. , vol.9 , pp. 145-165
    • Coleman, J.P.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.