Differential algebraic equations with after-effect

[1]  Alan Feldstein,et al.  Characterization of jump discontinuities for state dependent delay differential equations , 1976 .

[2]  S. Campbell Singular linear systems of differential equations with delays , 1980 .

[3]  H. J. Pesch,et al.  Numerical treatment of delay differential equations by Hermite Interpolation , 1981 .

[4]  L. Petzold Differential/Algebraic Equations are not ODE's , 1982 .

[5]  C. W. Gear,et al.  ODE METHODS FOR THE SOLUTION OF DIFFERENTIAL/ALGEBRAIC SYSTEMS , 1984 .

[6]  Herbert Arndt Numerical solution of retarded initial value problems: Local and global error and stepsize control , 1984 .

[7]  M. Zennaro Natural continuous extensions of Runge-Kutta formulas , 1986 .

[8]  M. Zennaro Natural continuous extensions of Runge-Kutta methods , 1986 .

[9]  Ernst Hairer,et al.  The numerical solution of differential-algebraic systems by Runge-Kutta methods , 1989 .

[10]  E. Hairer,et al.  Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems , 2010 .

[11]  K. J. in 't Hout,et al.  A new interpolation procedure for adapting Runge-Kutta methods to delay differential equations , 1992 .

[12]  K. J. in 't Hout,et al.  The stability of a class of Runge-Kutta methods for delay differential equations , 1992 .

[13]  Christopher T. H. Baker,et al.  The tracking of derivative discontinuities in systems of delay-differential equations , 1992 .

[14]  Christopher A. H. Paul,et al.  Developing a delay differential equation solver , 1992 .

[15]  Ernst Hairer,et al.  Implicit Runge-Kutta methods for higher index differential-algebraic systems , 1993 .

[16]  E. Hairer,et al.  Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems , 1993 .

[17]  M. Ainsworth Theory and numerics of ordinary and partial differential equations , 1995 .

[18]  Convergence of numerical methods for systems of neutral functional-differential-algebraic equations , 1995 .

[19]  Christopher T. H. Baker,et al.  Issues in the numerical solution of evolutionary delay differential equations , 1995, Adv. Comput. Math..

[20]  Stephen L. Campbell Nonregular 2D descriptor delay systems , 1995 .

[21]  Uri M. Ascher,et al.  The numerical solution of delay-differential-algebraic equations of retarded and neutral type , 1995 .

[22]  Linda R. Petzold,et al.  Numerical solution of initial-value problems in differential-algebraic equations , 1996, Classics in applied mathematics.

[23]  R. Hauber,et al.  Numerical treatment of retarded differential–algebraic equations by collocation methods , 1997, Adv. Comput. Math..

[24]  Linda R. Petzold,et al.  Asymptotic stability of Hessenberg delay differential-algebraic equations of retarded or neutral type , 1998 .

[25]  W. Enright,et al.  Convergence Analysis of the Solution of Retarded and Neutral Delay Differential Equations by Continuous Numerical Methods , 1998 .

[26]  Linda R. Petzold,et al.  Consistent Initial Condition Calculation for Differential-Algebraic Systems , 1998, SIAM J. Sci. Comput..

[27]  Per Grove Thomsen,et al.  Numerical Solution of Differential Algebraic Equations , 1999 .

[28]  Yunkang Liu,et al.  Runge–Kutta–collocation methods for systems of functional–differential and functional equations , 1999, Adv. Comput. Math..

[29]  Christopher T. H. Baker,et al.  Retarded differential equations , 2000 .

[30]  E. Hairer,et al.  Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems , 2010 .

[31]  A. Bellen,et al.  Numerical methods for delay differential equations , 2003 .