메뉴 건너뛰기




Volumn 24, Issue 2-3, 1997, Pages 319-330

DKLAG6: A code based on continuously imbedded sixth-order Runge-Kutta methods for the solution of state-dependent functional differential equations

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; ERRORS; ESTIMATION; INTERPOLATION; PIECEWISE LINEAR TECHNIQUES; POLYNOMIALS;

EID: 0031212575     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(97)00029-9     Document Type: Article
Times cited : (35)

References (17)
  • 1
    • 0040132776 scopus 로고
    • A global convergence theorem for a class of parallel continuous explicit Runge-Kutta methods and vanishing lag delay differential equations
    • Department of Mathematics, University of Manchester, Manchester
    • C.T.H. Baker and C.A.H. Paul, A global convergence theorem for a class of parallel continuous explicit Runge-Kutta methods and vanishing lag delay differential equations, Numerical Analysis Report No. 229, Department of Mathematics, University of Manchester, Manchester (1994).
    • (1994) Numerical Analysis Report No. 229 , vol.229
    • Baker, C.T.H.1    Paul, C.A.H.2
  • 2
    • 0010717273 scopus 로고
    • A bibliography on the numerical solution of delay differential equations
    • Department of Mathematics, University of Manchester, Manchester
    • C.T.H. Baker, C.A.H. Paul and D.R. Willé, A bibliography on the numerical solution of delay differential equations, Numerical Analysis Report No. 269, Department of Mathematics, University of Manchester, Manchester (1995).
    • (1995) Numerical Analysis Report No. 269 , vol.269
    • Baker, C.T.H.1    Paul, C.A.H.2    Willé, D.R.3
  • 3
    • 0007388759 scopus 로고
    • Issues in the numerical solution of evolutionary delay differential equations
    • Department of Mathematics, University of Manchester, Manchester
    • C.T.H. Baker, C.A.H. Paul and D.R. Willé, Issues in the numerical solution of evolutionary delay differential equations, Numerical Analysis Report No. 248, Department of Mathematics, University of Manchester, Manchester (1994).
    • (1994) Numerical Analysis Report No. 248 , vol.248
    • Baker, C.T.H.1    Paul, C.A.H.2    Willé, D.R.3
  • 4
    • 0038948550 scopus 로고    scopus 로고
    • Dklag6: Solution of systems of functional differential equations with state-dependent delays
    • Computer Science Department Technical Report Series, Radford University, Radford, VA, in preparation
    • S.P. Corwin and S. Thompson, DKLAG6: solution of systems of functional differential equations with state-dependent delays, Technical Report 96-002, Computer Science Department Technical Report Series, Radford University, Radford, VA, in preparation.
    • Technical Report 96-002
    • Corwin, S.P.1    Thompson, S.2
  • 5
    • 0038948549 scopus 로고    scopus 로고
    • Drake6 - Continuous simulation software for the solution of delay differential equations on personal computers
    • Computer Science Department Technical Report Series, Radford, VA
    • S.P. Corwin and S. Thompson, DRAKE6 - continuous simulation software for the solution of delay differential equations on personal computers, Technical Report 96-001, Computer Science Department Technical Report Series, Radford, VA (1996).
    • (1996) Technical Report 96-001
    • Corwin, S.P.1    Thompson, S.2
  • 6
    • 0039541240 scopus 로고
    • Solution of state-dependent systems of delay differential equations using the drake5/dklag6 solvers
    • Computer Science Department Technical Report Series, Radford, VA
    • S.P. Corwin and S. Thompson, Solution of state-dependent systems of delay differential equations using the DRAKE5/DKLAG6 solvers, Technical Report 95-001, Computer Science Department Technical Report Series, Radford, VA (1995).
    • (1995) Technical Report 95-001
    • Corwin, S.P.1    Thompson, S.2
  • 7
    • 0004073948 scopus 로고
    • A survey of the explicit runge-kutta method
    • Department of Computer Science, University of Toronto revised
    • W.H. Enright, D.J. Higham, B. Owren and P.W. Sharp, A survey of the explicit Runge-Kutta method, Technical Report 291/94, Department of Computer Science, University of Toronto (1994) (revised, 1995).
    • (1994) Technical Report 291/94
    • Enright, W.H.1    Higham, D.J.2    Owren, B.3    Sharp, P.W.4
  • 9
    • 84976730156 scopus 로고
    • Algorithm 497 - Automatic integration of functional differential equations [d2]
    • K.W. Neves, Algorithm 497 - automatic integration of functional differential equations [D2], ACM Trans. Math. Software 1 (4) (1975) 369-371.
    • (1975) ACM Trans. Math. Software , vol.1 , Issue.4 , pp. 369-371
    • Neves, K.W.1
  • 10
    • 84976747790 scopus 로고
    • Automatic integration of functional differential equations - An approach
    • K.W. Neves, Automatic integration of functional differential equations - an approach, ACM Trans. Math. Software 1 (4) (1975) 357-368.
    • (1975) ACM Trans. Math. Software , vol.1 , Issue.4 , pp. 357-368
    • Neves, K.W.1
  • 12
    • 0008815916 scopus 로고
    • Characterization of jump discontinuities for state-dependent delay differential equations
    • K.W. Neves and A. Feldstein, Characterization of jump discontinuities for state-dependent delay differential equations, J. Math. Anal. Appl. 56 (3) (1976) 689-707.
    • (1976) J. Math. Anal. Appl. , vol.56 , Issue.3 , pp. 689-707
    • Neves, K.W.1    Feldstein, A.2
  • 13
    • 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. Numer. Math. 9 (1992) 385-401.
    • (1992) J. Appl. Numer. Math. , vol.9 , pp. 385-401
    • Neves, K.W.1    Thompson, S.2
  • 14
    • 38249015780 scopus 로고
    • Developing a delay differential equation solver
    • C.A.H. Paul, Developing a delay differential equation solver, J. Appl. Numer. Math. 9 (1992) 403-414.
    • (1992) J. Appl. Numer. Math. , vol.9 , pp. 403-414
    • Paul, C.A.H.1
  • 15
    • 0040132725 scopus 로고
    • Effective and efficient numerical solution of ordinary differential equations
    • Department of Mathematics, Louisiana State University, New Orleans, LA
    • D. Sarafyan, Effective and efficient numerical solution of ordinary differential equations, Technical Report No. 54, Department of Mathematics, Louisiana State University, New Orleans, LA (1971).
    • (1971) Technical Report No. 54 , vol.54
    • Sarafyan, D.1
  • 16
    • 0040132770 scopus 로고    scopus 로고
    • Multistep runge-kutta formulas
    • D. Sarafyan, Multistep Runge-Kutta formulas, Notices Amer. Math. Soc. 13 (7), Issue No. 93 (1996) 847.
    • (1996) Notices Amer. Math. Soc. , vol.13 , Issue.7-93 , pp. 847
    • Sarafyan, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.