Removing numerical dispersion from linear evolution equations

06/22/2019

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by   Jens Wittsten, et al.

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In this paper we describe a method for removing the numerical errors in the modeling of linear evolution equations that are caused by approximating the time derivative by a finite difference operator. We prove that the method results in a solution with correct evolution throughout the entire lifespan. We also demonstrate the method on a model equation as well as on the simulation of elastic and viscoelastic wave propagation.