Parallel Computations Based on Automatic Transformation of Ordinary Differential Equations

摘要

The paper is a part of student cooperation in AKTION project (Austria-Czech). Theoretical work on the numerical solution of ordinary differential equations by the Taylor series method has been going on for a number of years. The simulation language TKSL has been created to test the properties of the technical initial problems and to test an algorithm for Taylor series method [1]. The Residue Number System (RNS) has great potential for accelerating arithmetic operation, achieved by breaking operands into several residues and computing with them independently.