DELSOL -- a numerical code for the solution of systems of delay- differential equations. Delay-differential equations arise widely in many fields of science and engineering. In this paper we present an overview of a general purpose code DELSOL written to solve systems of such equations. Special attention is given to the program’s organisation and design. A number of numerical examples are also presented alongside a number of technical observations pertinent to the design of delay-differential software.

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  1. Kerr, Gilbert; González-Parra, Gilberto; Sherman, Michele: A new method based on the Laplace transform and Fourier series for solving linear neutral delay differential equations (2022)
  2. Coronel-Escamilla, Antonio; Gómez-Aguilar, José Francisco: A novel predictor-corrector scheme for solving variable-order fractional delay differential equations involving operators with Mittag-Leffler kernel (2020)
  3. Jhinga, Aman; Daftardar-Gejji, Varsha: A new numerical method for solving fractional delay differential equations (2019)
  4. Gökdoğan, Ahmet; Merdan, Mehmet; Ertürk, Vedat Suat: A multistage variational iteration method for solution of delay differential equations (2013)
  5. Yüzbaşı, Şuayip: On the solutions of a system of linear retarded and advanced differential equations by the Bessel collocation approximation (2012)
  6. ZivariPiran, Hossein; Enright, Wayne H.: An efficient unified approach for the numerical solution of delay differential equations (2010)
  7. Alomari, A. K.; Noorani, M. S. M.; Nazar, R.: Solution of delay differential equation by means of homotopy analysis method (2009)
  8. Fenwick, Michael K.; Escobedo, Fernando A.: Exploration of factors affecting the onset and maturation course of follicular lymphoma through simulations of the germinal center (2009)
  9. Gilsinn, David E.: On algorithms for estimating computable error bounds for approximate periodic solutions of an autonomous delay differential equation (2009)
  10. Feldstein, Alan; Neves, Kenneth W.; Thompson, Skip: Sharpness results for state dependent delay differential equations: An overview (2006)
  11. Gilsinn, David E.; Potra, Florian A.: Integral operators and delay differential equations (2006)
  12. Shampine, L. F.; Gladwell, I.; Thompson, S.: Solving ODEs with MATLAB. (2003)
  13. Baker, Christopher T. H.; Willé, David R.: On the propagation of derivative discontinuities in Volterra retarded integro-differential equations (2000)
  14. Malécot, Gustave: Essays of a humanistic and Christian mathematician. With a preface by Maxime Lamotte, a eulogy by Alain Arnoux, and an afterword and a scientific bibliography by Michel Gillois. Ed. by Michel Delsol, Régis Ladous and Roger Payot (1999)
  15. Willé, David R.: Experiments in stepsize control for Adams linear multistep methods (1998)
  16. Bocharov, G. A.; Marchuk, G. I.; Romanyukha, A. A.: Numerical solution by LMMs of stiff delay differential systems modelling an immune response (1996)
  17. Baker, C. T. H.; Paul, C. A. H.; Willé, D. R.: Issues in the numerical solution of evolutionary delay differential equations (1995)
  18. Jackiewicz, Z.; Lo, E.: The numerical integration of neutral functional-differential equations by fully implicit one-step methods (1995)
  19. Steinmann, P.: Localization analysis for orthotropic elastoplastic materials (1995)
  20. Zennaro, M.: Delay differential equations: Theory and numerics (1995)

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