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Schemes with Well controlled Dissipation (WCD) I
(2013)Research ReportWe consider the approximation of entropy solutions to nonlinear hyperbolic conservation laws, in the regime that small–scale effects drive the dynamics of shock waves in these solutions. We introduce and analyze a new class of numerical methods, referred to as the schemes with well-controled dissipation (WCD), which approximate entropy solutions with high–accuracy and can capture small scale dependent shock waves of arbitrary strength. ...Report