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Positivity-Preserving Schemes in Multidimensions

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Publication:2706433
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DOI10.1137/S1064827599360443zbMath0983.65102OpenAlexW2084840411MaRDI QIDQ2706433

Ambady Suresh

Publication date: 19 March 2001

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s1064827599360443

zbMATH Keywords

numerical experimentsfinite difference schemeadvectionpositivity preservingspurious oscillationsdiscrete total variation diminishing limitersMUSCL-Hancock upwind scheme


Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Initial value problems for first-order hyperbolic systems (35L45)


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Towards a generalised GPU/CPU shallow-flow modelling tool, A simple two-dimensional extension of the HLL Riemann solver for hyperbolic systems of conservation laws, A class of bound-preserving MUSCL-Hancock schemes in two dimensions, High-resolution methods for two-component fluid flow problem with moving interface, Sheaf-theoretic investigation of CIP-method, Stochastic Galerkin framework with locally reduced bases for nonlinear two-phase transport in heterogeneous formations, On a class of robust bound-preserving MUSCL-hancock schemes



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