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Volumn 22, Issue 3, 2005, Pages 403-427

A functionally fitted three-stage explicit singly diagonally implicit Runge-Kutta method

Author keywords

Embedded pair; ESDIRK; Functionally fitted runge kutta method; Periodic problem; Step size control

Indexed keywords


EID: 27744540012     PISSN: 09167005     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF03167492     Document Type: Article
Times cited : (27)

References (16)
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    • A four-stage implicit Runge-Kutta-Nyström method with variable coefficients for solving periodic initial value problems
    • K. Ozawa, A four-stage implicit Runge-Kutta-Nyström method with variable coefficients for solving periodic initial value problems. Japan J. Indust. Appl. Math., 16 (1999), 25-46.
    • (1999) Japan J. Indust. Appl. Math. , vol.16 , pp. 25-46
    • Ozawa, K.1
  • 8
    • 0005703792 scopus 로고    scopus 로고
    • Functional fitting Runge-Kutta method with variable coefficients
    • K. Ozawa, Functional fitting Runge-Kutta method with variable coefficients. Japan J. Indust. Appl. Math., 18 (2001), 105-128.
    • (2001) Japan J. Indust. Appl. Math. , vol.18 , pp. 105-128
    • Ozawa, K.1
  • 9
    • 0347968265 scopus 로고    scopus 로고
    • Functional fitting Runge-Kutta-Nyström method with variable coefficients
    • K. Ozawa, Functional fitting Runge-Kutta-Nyström method with variable coefficients. Japan J. Indust. Appl. Math., 19 (2002), 55-85.
    • (2002) Japan J. Indust. Appl. Math. , vol.19 , pp. 55-85
    • Ozawa, K.1
  • 11
    • 0032183736 scopus 로고    scopus 로고
    • Runge-Kutta-Nyström methods for ODEs with periodic solutions based on trigonometric polynomials
    • B. Paternoster, Runge-Kutta-Nyström methods for ODEs with periodic solutions based on trigonometric polynomials. Appl. Numer. Math., 28 (1998), 401-412.
    • (1998) Appl. Numer. Math. , vol.28 , pp. 401-412
    • Paternoster, B.1
  • 13
    • 0035541118 scopus 로고    scopus 로고
    • A fourth algebraic order exponentially-fitted Runge-Kutta method for the numerical solution of the Schrödinger equation
    • T.E. Simos, A fourth algebraic order exponentially-fitted Runge-Kutta method for the numerical solution of the Schrödinger equation. IMA J. Numer. Anal., 21 (2001), 919-931.
    • (2001) IMA J. Numer. Anal. , vol.21 , pp. 919-931
    • Simos, T.E.1
  • 15
    • 0000688555 scopus 로고
    • Diagonally implicit Runge-Kutta-Nyström methods for oscillatory problems
    • P.J. Van Der Houwen and B.P. Sommeijer, Diagonally implicit Runge-Kutta-Nyström methods for oscillatory problems. SIAM J. Numer. Anal., 26 (1989), 414-429.
    • (1989) SIAM J. Numer. Anal. , vol.26 , pp. 414-429
    • Van Der Houwen, P.J.1    Sommeijer, B.P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.