TY - JOUR T1 - VSMRK: A Parallel Implementation and the Performance of Variable Stepsize Multistep Runge-Kutta Methods for Stiff ODEs AU - , H. Suhartanto AU - , K. Burrage JO - Asian Journal of Information Technology VL - 6 IS - 11 SP - 1110 EP - 1116 PY - 2007 DA - 2001/08/19 SN - 1682-3915 DO - ajit.2007.1110.1116 UR - https://makhillpublications.co/view-article.php?doi=ajit.2007.1110.1116 KW - Multistep runge-kutta KW -stiff ordinary differential equations KW -parallel implementation AB - Many natural phenomena and applications in industry can be modeled as systems of Stiff Initial Value Problems (IVPs) of Ordinary Differential Equations (ODEs). Usually the problems to be solved are huge in dimension, hence require huge computing resources and time. This study describes the parallel implementation of Variable stepsize Multistep Runge-Kutta (MRK) method of Radau Type for solving stiff IVPs of ODEs and its performance on SGI Origin 2000. The numerical results show the superiority of the code compared to various standard code on dense and large sparse problems. ER -