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math.NA2026
Multi-dimensional third-order time-implicit scheme for conservation laws
Alessandra Zappa, Matteo Semplice
When dealing with stiff conservation laws, explicit time integration forces to employ very small time steps, due to the restrictive CFL stability condition. Implicit methods offer…
math.NA2025
Numerical entropy production in finite volume ADER schemes
Matteo Semplice, Alessandra Zappa
We consider the numerical integration of conservation laws endowed with an entropy inequality and we study the residual of the scheme on this inequality, which represents the numer…