Two FORTRAN packages for assessing initial value methods. We present a discussion and description of a collection of FORTRAN routines designed to aid in the assessment of initial value methods for ordinary differential equations. Although the overall design characteristics are similar to those of earlier testing packages that were used for the comparison of methods, the details and objectives of the current collection are quite different. Our principal objective is the development of testing tools that can be used to assess the efficiency and reliability of a standard numerical method without requiring significant modifications to the method and without the tools themselves affecting the performance of the method. [For the algorithm NSDTST and STDTST: Routine for assessing the performance of IV solvers. see ibid. 13, 28-34 (1987)].

This software is also peer reviewed by journal TOMS.

References in zbMATH (referenced in 79 articles , 1 standard article )

Showing results 61 to 79 of 79.
Sorted by year (citations)
  1. Enright, W. H.; Higham, D. J.: Parallel defect control (1991)
  2. Higham, Desmond J.: Global error versus tolerance for explicit Runge-Kutta methods (1991)
  3. Higham, Desmond J.: Runge-Kutta defect control using Hermite-Birkhoff interpolation (1991)
  4. Higham, Nicholas J.: Algorithm 694: A collection of test matrices in MATLAB (1991)
  5. Sharp, P. W.: Numerical comparisons of some explicit Runge-Kutta pairs of orders 4 through 8 (1991)
  6. Calvé, M.; Vaillancourt, R.: Interpolants for Runge-Kutta pairs of order four and five (1990)
  7. Calvo, M.; Montijano, J. I.; Randez, L.: A new embedded pair of Runge-Kutta formulas of orders 5 and 6 (1990)
  8. Colquitt, S. D.; Williams, Jack: Polynomial and rational interpolation in the numerical solution of stiff systems (1989)
  9. Enright, W. H.: Analysis of error control strategies for continuous Runge-Kutta methods (1989)
  10. Enright, W. H.: A new error-control for initial value solvers (1989)
  11. Enright, W. H.; Seward, W. L.: Achieving tolerance proportionality in software for stiff initial-value problems (1989)
  12. Higham, Desmond J.: Robust defect control with Runge-Kutta schemes (1989)
  13. Lebedev, V. I.: Explicit difference schemes with time-variable steps for solving stiff systems of equations (1989)
  14. Skeel, Robert D.: Global error estimation and the backward differentiation formulas (1989)
  15. Enright, W. H.; Pryce, J. D.: Two FORTRAN packages for assessing initial value methods (1987)
  16. Fine, J. M.: Interpolants for Runge-Kutta-Nyström methods (1987)
  17. Fine, J. M.: Low order practical Runge-Kutta-Nyström methods (1987)
  18. Cash, J. R.; Lambrou, N.: Blended extended linear multistep methods for the accurate numerical integration of stiff initial value problems (1985)
  19. Dahlquist, Germund: On transformations of graded matrices, with applications to stiff ODE’s (1985)