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Volumn 31, Issue 1-4, 2002, Pages 103-114

Variable-order ESIRK methods for stiff differential equations

Author keywords

Effective order; Singly implicit Runge Kutta methods; Variable order

Indexed keywords


EID: 0036441056     PISSN: 10171398     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021156206196     Document Type: Conference Paper
Times cited : (1)

References (15)
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    • Alexander, R.1
  • 2
    • 0002612111 scopus 로고
    • A special family of Runge-Kutta methods for solving stiff differential equations
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    • Burrage, K.1
  • 4
    • 0000366955 scopus 로고
    • An implementation of singly-implicit Runge-Kutta methods
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    • (1980) BIT , vol.20 , pp. 326-340
    • Burrage, K.1    Butcher, J.C.2    Chipman, F.H.3
  • 5
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    • The effective order of Runge-Kutta methods
    • Lecture Notes in Mathematics, (Springer, New York)
    • J.C. Butcher, The effective order of Runge-Kutta methods, in: Conf. on the Numerical Solution of Differential Equations, Lecture Notes in Mathematics, Vol. 109 (Springer, New York, 1969) pp. 133-139.
    • (1969) Conf. on the Numerical Solution of Differential Equations , vol.109 , pp. 133-139
    • Butcher, J.C.1
  • 7
    • 0031211262 scopus 로고    scopus 로고
    • A generalization of singly-implicit Runge-Kutta methods
    • J.C. Butcher and P. Chartier, A generalization of singly-implicit Runge-Kutta methods, Appl. Numer. Math. 24 (1997) 343-350.
    • (1997) Appl. Numer. Math. , vol.24 , pp. 343-350
    • Butcher, J.C.1    Chartier, P.2
  • 8
    • 22644451772 scopus 로고    scopus 로고
    • The effective order of singly-implicit Runge-Kutta methods
    • J.C. Butcher and P. Chartier, The effective order of singly-implicit Runge-Kutta methods, Numer. Algorithms 20 (1999) 269-284.
    • (1999) Numer. Algorithms , vol.20 , pp. 269-284
    • Butcher, J.C.1    Chartier, P.2
  • 9
    • 0032182591 scopus 로고    scopus 로고
    • ESIRK methods and variable stepsize
    • J.C. Butcher and D.J.L. Chen, ESIRK methods and variable stepsize, Appl. Numer. Math. 28 (1998) 193-207.
    • (1998) Appl. Numer. Math. , vol.28 , pp. 193-207
    • Butcher, J.C.1    Chen, D.J.L.2
  • 10
    • 0035588495 scopus 로고    scopus 로고
    • On the implementation of ESIRK methods for stiff IVPS
    • J.C. Butcher and D.J.L. Chen, On the implementation of ESIRK methods for stiff IVPS, Numer. Algorithms 26 (2001) 201-218.
    • (2001) Numer. Algorithms , vol.26 , pp. 201-218
    • Butcher, J.C.1    Chen, D.J.L.2
  • 14
    • 0033328899 scopus 로고    scopus 로고
    • Stiff differential equations solved by Radau methods
    • E. Hairer and G. Wanner, Stiff differential equations solved by Radau methods, J. Comput. Appl. Math. 111(1) (1999) 93-111.
    • (1999) J. Comput. Appl. Math. , vol.111 , Issue.1 , pp. 93-111
    • Hairer, E.1    Wanner, G.2
  • 15
    • 7544232274 scopus 로고
    • The Rosenbrock-type methods
    • eds. G. Dalhquist and R. Jeltsch, Proceedings, Oberwolfach, Institut fur Geometrie und Praktische Mathematik, RWTH Aachen, Germany, Bericht Nr. 9.
    • P. Kaps, The Rosenbrock-type methods, in: Numerical Methods for Stiff Initial Value Problems, eds. G. Dalhquist and R. Jeltsch, Proceedings, Oberwolfach, Institut fur Geometrie und Praktische Mathematik, RWTH Aachen, Germany, 1981, Bericht Nr. 9.
    • (1981) Numerical Methods for Stiff Initial Value Problems
    • Kaps, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.