Solving ODEs and DDEs with residual control

[1]  Wayne H. Enright,et al.  A delay differential equation solver based on a continuous Runge–Kutta method with defect control , 1997, Numerical Algorithms.

[2]  Lawrence F. Shampine,et al.  Solving ODEs with MATLAB , 2002 .

[3]  Lawrence F. Shampine,et al.  A BVP solver based on residual control and the Maltab PSE , 2001, TOMS.

[4]  L. Shampine,et al.  Solving DDEs in MATLAB , 2001 .

[5]  D. Sarafyan,et al.  DKLAG6: a code based on continuously imbedded sixth-order Runge-Kutta methods for the solution of state-dependent functional differential equations , 1997 .

[6]  Lawrence F. Shampine,et al.  The MATLAB ODE Suite , 1997, SIAM J. Sci. Comput..

[7]  Wayne H. Enright,et al.  Runge-Kutta Software with Defect Control for Boundary Value ODEs , 1996, SIAM J. Sci. Comput..

[8]  Wayne H. Enright,et al.  The evaluation of numerical software for delay differential equations , 1996, Quality of Numerical Software.

[9]  Ronald F. Boisvert,et al.  The Quality of Numerical Software: Assessment and Enhancement , 1996, Quality of Numerical Software.

[10]  Christopher A. H. Paul,et al.  A User-Guide to Archi - An Explicit Runge-Kutta Code for Solving Delay and Neutral Differential Equa , 1995 .

[11]  Desmond J. Higham,et al.  Runge-Kutta Defect Control Using Hermite-Birkhoff Interpolation , 1991, SIAM J. Sci. Comput..

[12]  Desmond J. Higham,et al.  Robust defect control with Runge-Kutta schemes , 1989 .

[13]  W. H. Enright.  A new error-control for initial value solvers , 1989 .

[14]  L. S. Baca,et al.  Practical aspects of interpolation in Runge-Kutta codes , 1987 .

[15]  L. Shampine.  Interpolation for Runge–Kutta Methods , 1985 .

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

[17]  Hans J. Stetter.  Considerations concerning a theory for ode-solvers , 1978 .

[18]  L. Shampine.  Numerical Solution of Ordinary Differential Equations , 1995 .