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PROPERTY-PRESERVING NUMERICAL SCHEMES FOR CONSERVATION LAWS

By Dmitri Kuzmin, Hennes Hajduk
eBook
$134.00
By Dmitri Kuzmin, Hennes Hajduk
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High-order numerical methods for hyperbolic conservation laws do not guarantee the validity of constraints that physically meaningful approximations are supposed to satisfy. The finite volume and finite element schemes summarized in this book use limiting techniques to enforce discrete maximum principles and entropy inequalities. Spurious oscillations are prevented using artificial viscosity operators and/or essentially nonoscillatory reconstructions.

An introduction to classical nonlinear s...

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Science & TechnologyMathematicsMathematics - Applied