메뉴 건너뛰기




Volumn 36, Issue 1, 2004, Pages 53-72

Construction of general linear methods with Runge-Kutta stability properties

Author keywords

General linear methods; Inherent Runge Kutta stability; Nordsieck representation

Indexed keywords


EID: 4043085577     PISSN: 10171398     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:NUMA.0000027738.54515.50     Document Type: Article
Times cited : (30)

References (11)
  • 1
    • 38249003919 scopus 로고
    • Diagonally-implicit multi-stage integration methods
    • J.C. Butcher, Diagonally-implicit multi-stage integration methods, Appl. Numer. Math. 11 (1993) 347-363.
    • (1993) Appl. Numer. Math. , vol.11 , pp. 347-363
    • Butcher, J.C.1
  • 2
    • 0030263281 scopus 로고    scopus 로고
    • Construction of diagonally implicit general linear methods of type 1 and 2 for ordinary differential equations
    • J.C. Butcher and Z. Jackiewicz, Construction of diagonally implicit general linear methods of type 1 and 2 for ordinary differential equations, Appl. Numer. Math. 21 (1996) 385-415.
    • (1996) Appl. Numer. Math. , vol.21 , pp. 385-415
    • Butcher, J.C.1    Jackiewicz, Z.2
  • 3
    • 0032068326 scopus 로고    scopus 로고
    • Construction of high order diagonally implicit multistage integration methods for ordinary differential equations
    • J.C. Butcher and Z. Jackiewicz, Construction of high order diagonally implicit multistage integration methods for ordinary differential equations, Appl. Numer. Math. 27 (1998) 1-12.
    • (1998) Appl. Numer. Math. , vol.27 , pp. 1-12
    • Butcher, J.C.1    Jackiewicz, Z.2
  • 4
    • 0042318570 scopus 로고    scopus 로고
    • A reliable error estimation for DIMSIMs
    • J.C. Butcher and Z. Jackiewicz, A reliable error estimation for DIMSIMs, BIT 41 (2001) 656-665.
    • (2001) BIT , vol.41 , pp. 656-665
    • Butcher, J.C.1    Jackiewicz, Z.2
  • 5
    • 0345060035 scopus 로고    scopus 로고
    • A new approach to error estimation for general linear methods
    • J.C. Butcher and Z. Jackiewicz, A new approach to error estimation for general linear methods, Numer. Math. 95 (2003) 487-502.
    • (2003) Numer. Math. , vol.95 , pp. 487-502
    • Butcher, J.C.1    Jackiewicz, Z.2
  • 6
    • 0031559380 scopus 로고    scopus 로고
    • A nonlinear optimization approach to the construction of general linear methods of high order
    • J.C. Butcher, Z. Jackiewicz and H.D. Mittelmann, A nonlinear optimization approach to the construction of general linear methods of high order, J. Comput. Appl. Math. 81 (1997) 181-196.
    • (1997) J. Comput. Appl. Math. , vol.81 , pp. 181-196
    • Butcher, J.C.1    Jackiewicz, Z.2    Mittelmann, H.D.3
  • 7
    • 4043179733 scopus 로고    scopus 로고
    • The construction of practical general linear methods
    • J.C. Butcher and W.M. Wright, The construction of practical general linear methods, BIT 43 (2003) 695-721.
    • (2003) BIT , vol.43 , pp. 695-721
    • Butcher, J.C.1    Wright, W.M.2
  • 9
    • 0036679991 scopus 로고    scopus 로고
    • Implementation of DIMSIMs for stiff differential systems
    • Z. Jackiewicz, Implementation of DIMSIMs for stiff differential systems, Appl. Numer. Math. 42 (2002) 251-267.
    • (2002) Appl. Numer. Math. , vol.42 , pp. 251-267
    • Jackiewicz, Z.1
  • 10
    • 0032671026 scopus 로고    scopus 로고
    • Exploiting structure in the construction of DIMSIMs
    • Z. Jackiewicz and H.D. Mittelmann, Exploiting structure in the construction of DIMSIMs, J. Comput. Appl. Math. 107 (1999) 233-239.
    • (1999) J. Comput. Appl. Math. , vol.107 , pp. 233-239
    • Jackiewicz, Z.1    Mittelmann, H.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.