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Volumn 42, Issue 3, 2002, Pages 477-489

A new approach to the algebraic structures for integration methods

Author keywords

B series; C simplifying assumptions; Composition rule; D simplifying assumptions; Dual forest; Dual space; Elementary weight function; Forest space; Tree space

Indexed keywords


EID: 0043236606     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (9)

References (13)
  • 1
    • 0039179700 scopus 로고    scopus 로고
    • Runge-Kutta methods and renormalization
    • Ch. Brouder, Runge-Kutta methods and renormalization, European Phys. J. C., 12 (2000), pp. 521-534.
    • (2000) European Phys. J. C. , vol.12 , pp. 521-534
    • Brouder, Ch.1
  • 2
    • 0030291054 scopus 로고    scopus 로고
    • The common basis of the theories of linear cyclic methods and Runge-Kutta methods
    • Special issue celebrating the centenary of Runge-Kutta methods
    • P. Albrecht, The common basis of the theories of linear cyclic methods and Runge-Kutta methods, Special issue celebrating the centenary of Runge-Kutta methods. Appl. Numer. Math. 22:1-3 (1996), pp. 3-21.
    • (1996) Appl. Numer. Math. , vol.22 , Issue.1-3 , pp. 3-21
    • Albrecht, P.1
  • 3
    • 0039179843 scopus 로고
    • Coefficients for the study of Runge-Kutta integration processes
    • J. C. Butcher, Coefficients for the study of Runge-Kutta integration processes, J. Austral. Math. Soc., 3 (1963), pp. 185-201.
    • (1963) J. Austral. Math. Soc. , vol.3 , pp. 185-201
    • Butcher, J.C.1
  • 4
    • 84968481790 scopus 로고
    • An algebraic theory of integration methods
    • J. C. Butcher, An algebraic theory of integration methods, Math. Comp., 26 (1972), pp. 79-106.
    • (1972) Math. Comp. , vol.26 , pp. 79-106
    • Butcher, J.C.1
  • 5
    • 84968484439 scopus 로고
    • A convergence criterion for a class of integration methods
    • J. C. Butcher, A convergence criterion for a class of integration methods, Math. Comp. 26 (1972), pp. 107-117.
    • (1972) Math. Comp. , vol.26 , pp. 107-117
    • Butcher, J.C.1
  • 8
    • 0000761144 scopus 로고
    • Méthodes de nyström pour l'équation différentielle y″ = f(x, y)
    • E. Hairer, Méthodes de Nyström pour l'équation différentielle y″ = f(x, y), Numer. Math. 27:3 (1976/77), pp. 283-300.
    • (1976) Numer. Math. , vol.27 , Issue.3 , pp. 283-300
    • Hairer, E.1
  • 9
    • 0015746593 scopus 로고
    • Multistep-multistage-multiderivative methods of ordinary differential equations
    • E. Hairer and G. Wanner, Multistep-multistage-multiderivative methods of ordinary differential equations, Computing, 11:3 (1973), pp. 287-303.
    • (1973) Computing , vol.11 , Issue.3 , pp. 287-303
    • Hairer, E.1    Wanner, G.2
  • 10
    • 0015960381 scopus 로고
    • On the Butcher group and general multi-value methods
    • E. Hairer and G. Wanner, On the Butcher group and general multi-value methods, Computing, 13:1 (1974), pp. 1-15.
    • (1974) Computing , vol.13 , Issue.1 , pp. 1-15
    • Hairer, E.1    Wanner, G.2
  • 11
    • 34250391672 scopus 로고
    • A theory for Nyström methods
    • E. Hairer and G. Wanner, A theory for Nyström methods, Numer. Math. 25:4 (1975/76), pp. 383 400.
    • (1975) Numer. Math. , vol.25 , Issue.4 , pp. 383400
    • Hairer, E.1    Wanner, G.2
  • 12
    • 0346338471 scopus 로고    scopus 로고
    • Order conditions for numerical integrators obtained by composing simpler integrators
    • A. Murua and J. M. Sanz-Serna, Order conditions for numerical integrators obtained by composing simpler integrators, Roy. Soc. London Philos. Trans. Ser. A., Math. Phys. Eng. Sci., 357:1754 (1999), pp. 1079-1100.
    • (1999) Roy. Soc. London Philos. Trans. Ser. A., Math. Phys. Eng. Sci. , vol.357 , Issue.1754 , pp. 1079-1100
    • Murua, A.1    Sanz-Serna, J.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.