共 30 条
[1]
Barrio R(2005)Performance of the Taylor series method for ODEs/DAEs Appl. Math. Comput. 163 525-545
[2]
Barrio R(2006)Sensitivity analysis of ODEs/DAEs using the Taylor series method SIAM J. Sci. Comput. 27 929-1947
[3]
Campbell SL(1995)Solvability of general differential-algebraic equations SIAM J. Sci. Comput. 16 257-270
[4]
Griepentrog E(1998)Symbolic manipulation techniques for model simplification in object-oriented modelling of large scale continuous systems Math. Comput. Simul. 48 133-150
[5]
Carpanzano E(2004)Symbolic numeric index analysis algorithm for differential-algebraic equations Indus. Eng. Chem. Res. 43 3886-3894
[6]
Maffezzoni C(2004)Index reduction for differential-algebraic equations by minimal extension ZAMM J. Appl. Math. Mech. Z. für Angew. Math. Mech. 84 579-597
[7]
Chowdhry S(1993)Index reduction in differential-algebraic equations using dummy derivatives SIAM J. Sci. Comput. 14 677-692
[8]
Krendl H(2005)Solving differential-algebraic equations by Taylor series (I): computing Taylor coefficients BIT Numer. Math. 45 561-591
[9]
Linninger AA(2008)Solving differential-algebraic equations by Taylor series (III): the DAETS code JNAIAM J. Numer. Anal. Indus. Appl. Math. 3 61-80
[10]
Kunkel P(2015)Algorithm 948: DAESA—a Matlab tool for structural analysis of differential-algebraic equations: software ACM Trans. Math. Softw. 41 12:1-12:14