Order reduction of stiff solvers at elastic multibody systems
Dedicated to W.C. Rheinboldt on the occasion of his 70th birthday
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2014, Journal of Computational and Applied MathematicsCitation Excerpt :A similar approach has been chosen for standard singularly perturbed systems in [8], which lead to the so-called Scholz conditions, see below. Compare also the analysis for unconstrained second order systems in [4]. Another approach was given by Scholz [8] who suggested the use of methods which do fulfill the following conditions.
Strongly A-stable first stage explicit collocation methods with stepsize control for stiff and differential-algebraic equations
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2004, Journal of Computational and Applied MathematicsCitation Excerpt :RODASP is also able to solve the aforementioned index-2 problems efficiently. Similar observations have been made in [13]. The whole flow simulation and forecast system of the German Federal Institute of Hydrology is implemented in Fortran90 on a PC.
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