Error control for initial value problems with discontinuities and delays

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

[2]  Desmond J. Higham,et al.  Global error versus tolerance for explicit Runge-Kutta methods , 1991 .

[3]  Jeff R. Cash,et al.  A block 6(4) Runge-Kutta formula for nonstiff initial value problems , 1989, TOMS.

[4]  W. H. Enright,et al.  Effective solution of discontinuous IVPs using a Runge-Kutta formula pair with interpolants , 1988 .

[5]  John D. Pryce,et al.  Two FORTRAN packages for assessing initial value methods , 1987, TOMS.

[6]  P. J. Prince,et al.  Runge-Kutta triples , 1986 .

[7]  Wayne H. Enright,et al.  Interpolants for Runge-Kutta formulas , 1986, TOMS.

[8]  Marino Zennaro,et al.  Numerical solution of delay differential equations by uniform corrections to an implicit Runge-Kutta method , 1985 .

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

[10]  Ole Østerby,et al.  Solving Ordinary Differential Equations with Discontinuities , 1984, TOMS.

[11]  Kenneth W. Neves.  Control of Interpolatory Error in Retarded Differential Equations , 1981, TOMS.

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

[13]  J. Dormand,et al.  A family of embedded Runge-Kutta formulae , 1980 .

[14]  Hans J. Stetter.  Interpolation and Error Estimation in Adams $PC$-Codes , 1979 .

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

[16]  Kenneth W. Neves.  Automatic Integration of Functional Differential Equations: An Approach , 1975, TOMS.