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math.NA2025
FORCE- Numerical Fluxes within the Arbitrary High Order Semidiscrete WENO-DeC Framework: A Competitive Alternative to Upwind Fluxes
Lorenzo Micalizzi, Eleuterio Toro
This work systematically investigates the performance of FORCE-- numerical fluxes within an arbitrary high order semidiscrete finite volume (FV) framework for hyperbolic partial…
math.NA2025
High-Order Flux Splitting Schemes for the Euler Equations of Gas Dynamics
Shaoshuai Chu, Michael Herty, Eleuterio F. Toro
We develop high-order flux splitting schemes for the one- and two-dimensional Euler equations of gas dynamics. The proposed schemes are high-order extensions of the existing first-…
math.NA2025
Algorithms of very high space-time orders of accuracy for hyperbolic equations in the semidiscrete WENO-DeC framework
Lorenzo Micalizzi, Eleuterio F. Toro
In this work, we provide a deep investigation of a family of arbitrary high order numerical methods for hyperbolic partial differential equations (PDEs), with particular emphasis o…