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Volumn 39, Issue 5-6, 2000, Pages 43-54

Event location for ordinary differential equations

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CODES (SYMBOLS); CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIATION (CALCULUS); FORTRAN (PROGRAMMING LANGUAGE); FUNCTIONS; INITIAL VALUE PROBLEMS; INTEGRATION; MATHEMATICAL MODELS; PIECEWISE LINEAR TECHNIQUES; RUNGE KUTTA METHODS; THEOREM PROVING;

EID: 0034159738     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(00)00045-6     Document Type: Article
Times cited : (78)

References (21)
  • 1
    • 0000207879 scopus 로고
    • Effective solution of discontinuous IVPs using a Runge-Kutta formula pair with interpolants
    • W.H. Enright, K.R. Jackson, S.P. Nørsett and P.G. Thomsen, Effective solution of discontinuous IVPs using a Runge-Kutta formula pair with interpolants, Appl. Math. Comp. 27, 313-335 (1988).
    • (1988) Appl. Math. Comp. , vol.27 , pp. 313-335
    • Enright, W.H.1    Jackson, K.R.2    Nørsett, S.P.3    Thomsen, P.G.4
  • 3
    • 0031212575 scopus 로고    scopus 로고
    • DKLAG6: A code based on continuously imbedded sixth order Runge-Kutta methods for the solution of state dependent functional differential equations
    • S.P. Corwin, D. Sarafyan and S. Thompson, DKLAG6: A code based on continuously imbedded sixth order Runge-Kutta methods for the solution of state dependent functional differential equations, Appl. Num. Math. 24, 319-333 (1997).
    • (1997) Appl. Num. Math. , vol.24 , pp. 319-333
    • Corwin, S.P.1    Sarafyan, D.2    Thompson, S.3
  • 4
    • 38249015876 scopus 로고
    • Software for the numerical solution of systems of functional differential equations with state dependent delays
    • K.W. Neves and S. Thompson, Software for the numerical solution of systems of functional differential equations with state dependent delays, J. Appl. Num. Math. 9, 385-401 (1992).
    • (1992) J. Appl. Num. Math. , vol.9 , pp. 385-401
    • Neves, K.W.1    Thompson, S.2
  • 5
    • 0008524748 scopus 로고
    • One-step methods of any order for ordinary differential equations with discontinuous right-hand sides
    • R. Mannshardt, One-step methods of any order for ordinary differential equations with discontinuous right-hand sides, Numer. Math. 31, 131-152 (1978).
    • (1978) Numer. Math. , vol.31 , pp. 131-152
    • Mannshardt, R.1
  • 8
    • 0018015496 scopus 로고
    • Efficient integration over discontinuities in ordinary differential equations
    • M.B. Carver, Efficient integration over discontinuities in ordinary differential equations, Math,. Comp. Simulation 20, 190-196 (1978).
    • (1978) Math,. Comp. Simulation , vol.20 , pp. 190-196
    • Carver, M.B.1
  • 12
  • 16
    • 0001811061 scopus 로고
    • ODEPACK: A systematized collection of ODE solvers
    • (Edited by R.S. Stepleman et al), North-Holland, Amsterdam
    • A.C. Hindmarsh, ODEPACK: A systematized collection of ODE solvers, In Scientific Computing, (Edited by R.S. Stepleman et al), pp. 55-64, North-Holland, Amsterdam, (1983).
    • (1983) Scientific Computing , pp. 55-64
    • Hindmarsh, A.C.1
  • 17
    • 0000536084 scopus 로고
    • Automatic selection of methods for solving stiff and nonstiff systems of ordinary differential equations
    • L.R. Petzold, Automatic selection of methods for solving stiff and nonstiff systems of ordinary differential equations, SIAM J. Sci. Stat. Comput. 4, 136-148 (1983).
    • (1983) SIAM J. Sci. Stat. Comput. , vol.4 , pp. 136-148
    • Petzold, L.R.1
  • 19
    • 33646276805 scopus 로고
    • Bounds for the model quench front
    • H.T. Laquer and B. Wendroff, Bounds for the model quench front, SIAM J. Numer. Anal. 18, 225-241 (1981).
    • (1981) SIAM J. Numer. Anal. , vol.18 , pp. 225-241
    • Laquer, H.T.1    Wendroff, B.2
  • 21
    • 84976857655 scopus 로고
    • Software for nonlinear partial differential equations
    • N.K. Madsen and R.F. Sincovec, Software for nonlinear partial differential equations, ACM Trans. Math. Soft. 1, 232-260 (1975).
    • (1975) ACM Trans. Math. Soft. , vol.1 , pp. 232-260
    • Madsen, N.K.1    Sincovec, R.F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.