DEPAC - design of a user oriented package of ODE solvers. DEPAC is a user interface to a package of codes for the solution of the initial value problem for a system of ordinary differential equations. It is intended to make the codes in the package as easy as possible to use and, at the same time, to take full advantage of the underlying algorithms. A major objective of the design is to facilitate switching codes. The prologs for the three methods at present represented in DEPAC are given. This document discusses some aspects of the design of DEPAC. It explains why the design is appropriate to the authors’ computing environment. It provides ideas, experience, and a discussion of issues which will assist researchers faced with a similar task in other environments.

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  1. McGrath, Joseph F.; Rampalli, Rajiv: Implicit integration with coordinate partitioning (2000)
  2. Sudarsan, R.; Keerthi, S. Sathiya: Numerical approaches for solutions of differential equations on manifolds (1998)
  3. Lee, Jon: Chaos and direct numerical simulation in turbulence (1995)
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  5. Lin, T. C.; Arora, J. S.: Differential dynamic programming technique for optimal control (1994)
  6. Dean, E. J.: An inexact Newton method for nonlinear two-point boundary-value problems (1992)
  7. Neves, K. W.; Thompson, S.: Software for the numerical solution of systems of functional differential equations with state-dependent delays (1992)
  8. Phatak, Makarand S.; Keerthi, Sathiya S.: A homotopy approach for stabilizing single-input systems with control structure constraints (1992)
  9. Ward, William A. jun.: Numerical generated basis functions for elliptic boundary-value problems (1992)
  10. Lin, T. C.; Arora, J. S.: Differential dynamic programming technique for constrained optimal control. II: Structural examples (1991)
  11. Calvo, M.; Montijano, J. I.; Randez, L.: A new embedded pair of Runge-Kutta formulas of orders 5 and 6 (1990)
  12. Calvo, M.; Montijano, J. I.; Randez, L.: A fifth-order interpolant for the Dormand and Prince Runge-Kutta method (1990)
  13. Thompson, S.: Stepsize control for delay differential equations using continuously imbedded Runge-Kutta methods of Sarafyan (1990)
  14. Bixler, Nathan E.: An improved time integrator for finite element analysis (1989)
  15. Salane, Douglas E.: Improving the performance of a code for solving stiff systems of ODEs (1989)
  16. Brankin, R. W.; Gladwell, I.; Shampine, L. F.: Starting BDF and Adams codes at optimal order (1988)
  17. Hairer, E.; Lubich, C.: Extrapolation at stiff differential equations (1988)
  18. Kagiwada, Harriet H.; Kalaba, Robert E.; Scott, Melvin R.: The b and h functions for integral equations with displacement kernels: a computational method and an application to radiative transfer (1987)
  19. Shampine, Lawrence F.: Solution of structured non-stiff ODEs (1986)
  20. Thompson, S.: Remarks on the choice of a stiff ordinary differential equation solver (1986)

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