New software based on explicit Runge-Kutta formulas have been developed to replace well-established, widely-used codes written by the authors (RKF45 and its successors in the SLATEC Library and the NAG Fortran 77 Library Runge-Kutta codes). The new software has greater functionality than its predecessors. Also, it is more efficient, more robust and better documented.

References in zbMATH (referenced in 17 articles , 1 standard article )

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  1. Simos, T. E.; Tsitouras, Ch.: On high order Runge-Kutta-Nyström pairs (2022)
  2. Yu, Dong Won: The G-Euler process for nonlinear autonomous systems (2018)
  3. Thornburg, Jonathan: Event and apparent horizon finders for (3+1) numerical relativity (2007)
  4. Martinsen-Burrell, Neil; Julien, Keith; Petersen, Mark R.; Weiss, Jeffrey B.: Merger and alignment in a reduced model for three-dimensional quasigeostrophic ellipsoidal vortices (2006)
  5. Yu, Dong Won: The generalized Euler process for exponentially dominant systems (2004)
  6. Fredebeul, Ch.; Kornmaier, D.; Müller, M. W.: Multiple order double output Runge-Kutta Fehlberg formulae: Strategies for efficient application (2002)
  7. Van Vleck, Erik S.: Numerical shadowing using componentwise bounds and a sharper fixed point result (2000)
  8. Kropinski, M. C. A.: Integral equation methods for particle simulations in creeping flows (1999)
  9. Sommeijer, B. P.; Shampine, L. F.; Verwer, J. G.: RKC: An explicit solver for parabolic PDEs (1998)
  10. Brankin, R. W.; Gladwell, I.: Algorithm 771: (\mathrmrksuite_90): Fortran 90 software for ordinary differential equation initial-value problems (1997)
  11. Gladwell, I.; Bouas-Dockery, K.; Brankin, R. W.: A Fortran 90 separable Hamiltonian system solver (1997)
  12. Bogacki, P.; Shampine, L. F.: An efficient Runge-Kutta ((4,5)) pair (1996)
  13. Dempsey, K. M.; Gladwell, I.: Numerical instability in the breathing-mode dynamics of elastic rings (1996)
  14. Shampine, L. F.; Gladwell, I.: Software based on explicit RK formulas (1996)
  15. Brankin, R. W.; Gladwell, I.: A Fortran 90 version of RKSUITE: An ODE initial value solver (1994)
  16. Hosea, M. E.; Shampine, L. F.: Efficiency comparisons of methods for integrating ODEs (1994)
  17. Brankin, R. W.; Gladwell, I.; Shampine, L. F.: RKSUITE: A suite of explicit Runge-Kutta codes (1993)