Entropy Aware Numerical Schemes by Simon-Christian Klein (.PDF)

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Entropy Aware Numerical Schemes for Hyperbolic Conservation Laws by Simon-Christian Klein
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Overview: Hyperbolic conservation laws produce shock waves that standard numerical methods struggle to handle. This book introduces Finite-Volume and Discontinuous Galerkin schemes that enforce Dafermos’s entropy rate criterion, ensuring physically relevant solutions by predicting and imposing maximal entropy dissipation. The resulting methods prove robust and non-oscillatory across challenging tests, from scalar laws to the full Euler equations on unstructured meshes.
Genre: Non-Fiction > Educational

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