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Computing Qualitatively Correct Approximations of Balance Laws

Exponential-Fit, Well-Balanced and Asymptotic-Preserving

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Focusing on the construction of elaborate flux functions, this book delves into one-dimensional contexts for hyperbolic systems that allow for shock-type solutions. It also examines kinetic equations within the framework of discrete-ordinate approximation, providing insights into the mathematical underpinnings and applications of these concepts in fluid dynamics and related fields.

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Computing Qualitatively Correct Approximations of Balance Laws, Laurent Gosse

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2016
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