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math.NA2026
Flux-Balanced Patankar-type Schemes for the Compressible Euler Equations
Thomas Izgin, Andreas Meister, Chi-Wang Shu +1
Positivity preservation of key physical quantities in the context of fluid flows, such as density and internal energy, is an essential property of a numerical scheme as otherwise t…
math.NA2025
An Alternative Finite Difference WENO-like Scheme with Physical Constraint Preservation for Divergence-Preserving Hyperbolic Systems
Dinshaw S. Balsara, Deepak Bhoriya, Chi-Wang Shu
Alternative finite difference Weighted Essentially Non-Oscillatory (AFD-WENO) schemes allow us to very efficiently update hyperbolic systems even in complex geometries. Recent inno…
math.NA2024
A non-separable progressive multivariate WENO- point value
Pep Mulet, Juan Ruiz-Alvarez, Chi-Wang Shu +1
The weighted essentially non-oscillatory {technique} using a stencil of points (WENO-) is an interpolatory method that consists in obtaining a higher approximation order f…