DAWRS: A Differential - Algebraic System Solver by the Waveform Relaxation Method

Abstract

We investigate the concurrent solution of low-index differential-algebraic equations (DAE’s) by the waveform relaxation (WR) method, an iterative method for system integration. We present our new simulation code, DAWRS (Differential - Algebraic - Waveform Relaxation Solver), to solve DAE’s on parallel machines using the WR methods, and describe new techniques to improve the convergence of such methods. As experimental results, we demonstrate the achievable concurrent performance to solve DAE’s for a class of applications in chemical engineering.