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Volumn 19, Issue 1-4, 1998, Pages 13-23

An algorithm for the computation of consistent initial values for differential-algebraic equations

Author keywords

Boundary value methods; Consistent initial values; Differential algebraic equations

Indexed keywords


EID: 0032285589     PISSN: 10171398     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1019175027639     Document Type: Article
Times cited : (10)

References (20)
  • 1
    • 0031078576 scopus 로고    scopus 로고
    • Parallel implementation of block boundary value methods for ODEs
    • P. Amodio and L. Brugnano, Parallel implementation of block boundary value methods for ODEs, J. Comput. Appl. Math. 78 (1997) 197-211.
    • (1997) J. Comput. Appl. Math. , vol.78 , pp. 197-211
    • Amodio, P.1    Brugnano, L.2
  • 2
    • 21344497804 scopus 로고
    • Boundary value methods for the solution of differential-algebraic equations
    • P. Amodio and F. Mazzia, Boundary value methods for the solution of differential-algebraic equations, Numer. Math. 66 (1994) 411-421.
    • (1994) Numer. Math. , vol.66 , pp. 411-421
    • Amodio, P.1    Mazzia, F.2
  • 3
    • 0040260395 scopus 로고
    • A boundary value approach to the numerical solution of initial value problems by multisteps methods
    • P. Amodio and F. Mazzia, A boundary value approach to the numerical solution of initial value problems by multisteps methods, J. Difference Equations Appl. 1 (1995) 353-367.
    • (1995) J. Difference Equations Appl. , vol.1 , pp. 353-367
    • Amodio, P.1    Mazzia, F.2
  • 4
    • 0031234673 scopus 로고    scopus 로고
    • Numerical solution of differential-algebraic equation and computation of consistent initial/boundary conditions
    • P. Amodio and F. Mazzia, Numerical solution of differential-algebraic equation and computation of consistent initial/boundary conditions, J. Comput. Appl. Math. 82(1-2) (1997) 299-311.
    • (1997) J. Comput. Appl. Math. , vol.82 , Issue.1-2 , pp. 299-311
    • Amodio, P.1    Mazzia, F.2
  • 5
    • 0001679106 scopus 로고
    • Collocation software for boundary value differential-algebraic equations
    • U. Ascher and R.J. Spiteri, Collocation software for boundary value differential-algebraic equations, SIAM J. Sci. Comput. 15 (1994) 938-952.
    • (1994) SIAM J. Sci. Comput. , vol.15 , pp. 938-952
    • Ascher, U.1    Spiteri, R.J.2
  • 7
    • 0029721294 scopus 로고    scopus 로고
    • Convergence and stability of boundary value methods for ordinary differential equations
    • L. Brugnano and D. Trigiante, Convergence and stability of boundary value methods for ordinary differential equations, J. Comput. Appl. Math. 66 (1996) 97-109.
    • (1996) J. Comput. Appl. Math. , vol.66 , pp. 97-109
    • Brugnano, L.1    Trigiante, D.2
  • 9
    • 0005665515 scopus 로고
    • Numerical solution of boundary value problems in differential-algebraic equations
    • K.D. Clark and L.R. Petzold, Numerical solution of boundary value problems in differential-algebraic equations, SIAM J. Sci. Statist. Comput. 5 (1989) 915-936.
    • (1989) SIAM J. Sci. Statist. Comput. , vol.5 , pp. 915-936
    • Clark, K.D.1    Petzold, L.R.2
  • 10
    • 0003216820 scopus 로고
    • Differential-Algebraic Equations and Their Numerical Treatment
    • Teubner, Leipzig
    • E. Griepentrog and R. Marz, Differential-Algebraic Equations and Their Numerical Treatment, Teubner-Texte zur Mathematik, Vol. 88 (Teubner, Leipzig, 1986).
    • (1986) Teubner-Texte zur Mathematik , vol.88
    • Griepentrog, E.1    Marz, R.2
  • 11
    • 0003321806 scopus 로고
    • The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods
    • Springer, New York
    • E. Hairer, C. Lubich and M. Roche, The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods, Lecture Notes in Mathematics, Vol. 1409 (Springer, New York, 1989).
    • (1989) Lecture Notes in Mathematics , vol.1409
    • Hairer, E.1    Lubich, C.2    Roche, M.3
  • 12
    • 0031674046 scopus 로고    scopus 로고
    • Boundary value methods for time domain simulation of power system dynamic behavior - Part I
    • F. Iavernaro, M. La Scala and F. Mazzia, Boundary value methods for time domain simulation of power system dynamic behavior - Part I, IEEE Trans. Circuits Systems 45(1) (1998) 50-63.
    • (1998) IEEE Trans. Circuits Systems , vol.45 , Issue.1 , pp. 50-63
    • Iavernaro, F.1    La Scala, M.2    Mazzia, F.3
  • 13
    • 0033293580 scopus 로고    scopus 로고
    • Block boundary value methods for the solution of ordinary differential equations
    • to appear
    • F. Iavernaro and F. Mazzia, Block boundary value methods for the solution of ordinary differential equations, SIAM J. Sci. Comput., to appear.
    • SIAM J. Sci. Comput.
    • Iavernaro, F.1    Mazzia, F.2
  • 14
    • 0032184119 scopus 로고    scopus 로고
    • Solving ordinary differential equations by generalized Adams methods: Properties and implementation techniques
    • to appear
    • F. Iavernaro and F. Mazzia, Solving ordinary differential equations by generalized Adams methods: Properties and implementation techniques, Appl. Numer. Math. 28 (1998), to appear.
    • (1998) Appl. Numer. Math. , vol.28
    • Iavernaro, F.1    Mazzia, F.2
  • 15
    • 0030621826 scopus 로고    scopus 로고
    • A shooting method for fully implicit index-2 differential algebraic equations
    • R. Lamour, A shooting method for fully implicit index-2 differential algebraic equations, SIAM J. Sci. Comput. 18 (1997) 94-114.
    • (1997) SIAM J. Sci. Comput. , vol.18 , pp. 94-114
    • Lamour, R.1
  • 16
    • 0026104931 scopus 로고
    • Approximation methods for the consistent initialization of differential-algebraic equations
    • B. Leimkuhler, L.R. Petzold and C.W. Gear, Approximation methods for the consistent initialization of differential-algebraic equations, SIAM J. Numer. Anal. 28 (1991) 205-226.
    • (1991) SIAM J. Numer. Anal. , vol.28 , pp. 205-226
    • Leimkuhler, B.1    Petzold, L.R.2    Gear, C.W.3
  • 18
    • 0041819194 scopus 로고
    • Boundary value methods for initial value problems: Parallel implementation
    • F. Mazzia, Boundary value methods for initial value problems: Parallel implementation, Ann. Numer. Math. 1 (1994) 439-450.
    • (1994) Ann. Numer. Math. , vol.1 , pp. 439-450
    • Mazzia, F.1
  • 19
    • 0346540659 scopus 로고    scopus 로고
    • Boundary value methods for the numerical solution of boundary value problems in differential-algebraic equations
    • F. Mazzia, Boundary value methods for the numerical solution of boundary value problems in differential-algebraic equations, Bollettino U.M.I. 7(11-A) (1997) 135-146.
    • (1997) Bollettino U.M.I. 7(11-A) , pp. 135-146
    • Mazzia, F.1
  • 20
    • 0000353268 scopus 로고
    • The consistent initialization of differential-algebraic systems
    • C.C. Pantelides, The consistent initialization of differential-algebraic systems, SIAM J. Sci. Statist. Comput. 9 (1988) 213-231.
    • (1988) SIAM J. Sci. Statist. Comput. , vol.9 , pp. 213-231
    • Pantelides, C.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.