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A Posterior Estimate of the Particle Method Error for Shallow Water Models

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Abstract

The article examines the application of the particle method to numerical solution of the Cauchy problem for a quasi-linear system of first-order partial differential equations with discontinuous piecewise-constant initial conditions. A posterior estimate of the particle method error is derived for some shallow-water models.

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  1. S. V. Zerkal'
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Zerkal', S.V. A Posterior Estimate of the Particle Method Error for Shallow Water Models. Computational Mathematics and Modeling 14, 149–159 (2003). https://doi.org/10.1023/A:1022907623642

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  • DOI: https://doi.org/10.1023/A:1022907623642

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