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On the effectiveness of a type-insentive code

✍ Scribed by K.D. Wade; M.G. Everett; C.W. Richards

Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
619 KB
Volume
14
Category
Article
ISSN
0965-9978

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✦ Synopsis

In a previous paper Wade et al. 1Β° a type-insensitive Runge-Kutta based code, SARK, was developed for the integration of a system of ODEs. The algorithm automatically determined which numerical method to use for the current integration step from a suite of internal explicit and implicit Runge-Kutta methods. Results produced showed that the switching algorithm developed was performing correctly when applied to different classes of problems. In this paper the use of the type-insensitive code is explored further by comparing it over a wider range of test problems.

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A type-insensitive ode code based on sec
A type-insensitive ode code based on second derivative formulas
✍ R. Sacks-Davis; L.F. Shampine πŸ“‚ Article πŸ“… 1981 πŸ› Elsevier Science 🌐 English βš– 718 KB

Several effective codes for the solution of stiff ordinary differential equations (ODES) are based on second derivative formulas. They are inefficient for non-stiff problems. It is shown how to modify such codes to make them reasonably efficient. The modifications make them more efficient for stiff