A friendly Fortran DDE solver

Applied Numerical Mathematics

Volumn 56, Issue 3-4 SPEC. ISS., 2006, Pages 503-516

  Thompson, S ^a   Shampine, L F ^b  

^a RADFORD UNIVERSITY   (United States)

^b SOUTHERN METHODIST UNIVERSITY   (United States)

Author keywords

Delay differential equations; Discontinuity tracking; Mathematical software; State dependent delays

Indexed keywords

CODES (SYMBOLS); DIFFERENTIAL EQUATIONS; NUMERICAL METHODS; USER INTERFACES;

DELAY DIFFERENTIAL EQUATIONS; DISCONTINUITY TRACKING; MATHEMATICAL SOFTWARE; STATE DEPENDENT DELAYS;

FORTRAN (PROGRAMMING LANGUAGE);

EID: 33644622898     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apnum.2005.04.027     Document Type: Article

References (16)

1. T.W. Carr Onset of instabilities in self-pulsing semiconductor lasers with delayed feedback European Phys. J. D 19 2002 245 255
2. T.W. Carr Period-locking due to delayed feedback in a laser with saturable absorber Phys. Rev. E 68 2003 026212
3. S.P. Corwin, D. Sarafyan, and S. Thompson DKLAG6: A code based on continuously imbedded sixth order Runge-Kutta methods for the solution of state dependent functional differential equations Appl. Numer. Math. 24 1997 319 333
4. W.H. Enright, and H. Hayashi A delay differential equation solver based on a continuous Runge-Kutta method with defect control Numer. Algorithms 16 1997 349 364
5. Friendly Fortran DDE Solver http://www.radford.edu/~thompson/ffddes/
6. C.L. Lawson, R.J. Hanson, F.T. Krogh, and O.R. Kincaid Basic linear algebra subprograms for FORTRAN usage ACM Trans. Math. Software 5 1979 308 323
7. Matlab 6, The MathWorks, Inc., 3 Apple Hill Dr., Natick, MA 01760, 2002
8. C.A.H. Paul, A user-guide to ARCHI, Numer. Anal. Rept. No. 283, Mathematics Department, University of Manchester, Manchester, UK, 1995
9. L.F. Shampine Solving ODEs and DDEs with residual control Appl. Numer. Math. 52 2005 113 127
10. L.F. Shampine, I. Gladwell, and S. Thompson Solving ODEs with Matlab 2003 Cambridge University Press New York
11. L.F. Shampine, and M.W. Reichelt The Matlab ODE suite SIAM J. Sci. Comput. 18 1997 1 22
12. L.F. Shampine, and S. Thompson Event location for ordinary differential equations Comput. Math. Appl. 39 2000 43 54
13. L.F. Shampine, and S. Thompson Solving DDEs in Matlab Appl. Numer. Math. 37 2001 441 458
14. L.F. Shampine, and H.A. Watts The art of writing a Runge-Kutta code, Part I J.R. Rice Mathematical Software III 1977 Academic New York 257 275
15. L.F. Shampine, and H.A. Watts The art of writing a Runge-Kutta code, II Appl. Math. Comput. 5 1979 93 121
16. S. Suherman, R.H. Plaut, L.T. Watson, and S. Thompson Effect of human response time on rocking instability of a two-wheeled suitcase J. Sound Vibration 207 1997 617 625