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Waveform Relaxation method (WR) is a beautiful algorithm to solve OrdinaryDifferential Equations (ODEs). However, because of its poor convergencecapability, it was rarely used. In this paper, we propose a new distributedalgorithm, named Waveform Transmission Method (WTM), by virtually insertingwaveform transmission lines into the dynamical system to achieve distributedcomputing of extremely large ODEs. WTM has better convergence capability thanthe traditional WR algorithms.

Waveform Transmission Method, a New Waveform-relaxation Based Algorithm to Solve Ordinary Differential Equations in Parallel