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math.NA2023
High order asymptotic preserving and well-balanced schemes for the shallow water equations with source terms
Guanlan Huang, Sebastiano Boscarino, Tao Xiong
In this study, we investigate the Shallow Water Equations incorporating source terms accounting for Manning friction and a non-flat bottom topology. Our primary focus is on develop…
math.NA2023
Semi-Implicit-type order-adaptive CAT2 schemes for systems of balance laws with relaxed source term
E. Macca, S. Boscarino
In this paper we present two semi-implicit-type second order Compact Approximate Taylor (CAT2) numerical schemes and blend them with a local a posteriori Multi-dimensional Optimal…