Abstract
A Jacobi waveform relaxation (WR) method for solving initial value problems for ordinary differential equations (ODEs) is presented. In each window the method uses a technique called dynamic fitting and a pair of continuous Runge--Kutta (RK) formulas to produce the initial waveform, after which a fixed number of waveform iterates are computed. The reliability and efficacy of the method are demonstrated numerically by applying it to qualitatively different problems for linear tridiagonal ODEs.
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