Test Set for IVP Solvers
Test set for IVP 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: ...
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References in zbMATH (referenced in 5 articles )
Showing results 1 to 5 of 5.
- González-Pinto, S.; Hernández-Abreu, D.; Simeon, B.: Strongly $A$-stable first stage explicit collocation methods with stepsize control for stiff and differential-algebraic equations (2014)
- González-Pinto, S.; Hernández-Abreu, D.: Global error estimates for a uniparametric family of stiffly accurate Runge-Kutta collocation methods on singularly perturbed problems (2011)
- González-Pinto, S.; Hernández-Abreu, D.; Montijano, J. I.: An efficient family of strongly $A$-stable Runge-Kutta collocation methods for stiff systems and DAEs. I: Stability and order results (2010)
- Corliss, George F.; Kearfott, R. Baker; Nedialkov, Ned; Pryce, John D.; Smith, Spencer: Interval subroutine library mission (2008)
- Arnold, Martin; Burgermeister, Bernhard; Eichberger, Alexander: Linearly implicit time integration methods in real-time applications: DAEs and stiff ODEs (2007)