Test Set IVP

Test set for initial value problem solvers. Both engineers and computational scientists alike will benefit greatly from having a standard test set for Initial Value Problems (IVPs) which includes documentation of the test problems, experimental results from a number of proven solvers, and Fortran subroutines providing a common interface to the defining problem functions. Engineers will be able to see at a glance which methods will be most effective for their class of problems. Researchers will be able to compare their new methods with the results of existing ones without incurring additional programming workload; they will have a reference with which their colleagues are familiar. This test set tries to fulfill these demands and tries to set a standard for IVP solver testing. We hope that the following features of this set will enable the achievement of this goal: uniform presentation of the problems, ample description of the origin of the problems, robust interfaces between problem and drivers, portability among different platforms, contributions by people from several application fields, presence of real-life problems, being used, tested and debugged by a large, international group of researchers, comparisons of the performance of well-known solvers, interpretation of the numerical solution in terms of the application field, ease of access and use.


References in zbMATH (referenced in 15 articles )

Showing results 1 to 15 of 15.
Sorted by year (citations)

  1. Singh, Gurjinder; Garg, Arvind; Kanwar, V.; Ramos, Higinio: An efficient optimized adaptive step-size hybrid block method for integrating differential systems (2019)
  2. Tan, Guangning; Nedialkov, Nedialko S.; Pryce, John D.: Conversion methods for improving structural analysis of differential-algebraic equation systems (2017)
  3. Tan, Guangning; Nedialkov, Nedialko S.; Pryce, John D.: Symbolic-numeric methods for improving structural analysis of differential-algebraic equation systems (2016)
  4. Nedialkov, Nedialko S.; Pryce, John D.; Tan, Guangning: Algorithm 948: DAESA -- a Matlab tool for structural analysis of differential-algebraic equations: software (2015)
  5. Ponalagusamy, R.; Ponnammal, K.: A parallel fourth order Rosenbrock method: construction, analysis and numerical comparison (2015)
  6. Pryce, John D.; Nedialkov, Nedialko S.; Tan, Guangning: DAESA -- a Matlab tool for structural analysis of differential-algebraic equations: theory (2015)
  7. Auer, Ekaterina; Rauh, Andreas: VERICOMP: A system to compare and assess verified IVP solvers (2012)
  8. Nguyen-Ba, Truong; Hao, Han; Yagoub, Hemza; Vaillancourt, Rémi: One-step 9-stage Hermite-Birkhoff-Taylor DAE solver of order 10 (2011)
  9. Nguyen-Ba, T.; Yagoub, H.; Hao, H.; Vaillancourt, R.: Pryce pre-analysis adapted to some DAE solvers (2011)
  10. Luo, Xin-Long: A second-order pseudo-transient method for steady-state problems (2010)
  11. Arponen, Teijo; Piipponen, Samuli; Tuomela, Jukka: Analysing singularities of a benchmark problem (2008)
  12. Fazio, Riccardo: Numerical scaling invariance applied to the van der Pol model (2008)
  13. Ramos, Higinio; Vigo-Aguiar, Jesús: A fourth-order Runge-Kutta method based on BDF-type Chebyshev approximations (2007)
  14. Vigo-Aguiar, Jesús; Ramos, Higinio: A new eighth-order A-stable method for solving differential systems arising in chemical reactions (2006)
  15. Nedialkov, Nedialko S.; Pryce, John D.: Solving differential-algebraic equations by Taylor series. I: Computing Taylor coefficients (2005)