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20222026
most citedWell-balanced adaptive compact approximate Taylor methods for systems of balance laws

12 citations · 14 across the 7 of their papers we have counts for

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6 papers · 1 filter

math.NA2026

Asymptotic-Preserving Exponential Integrators applied to the Hyperbolic Korteweg-de Vries System

Abhijit Biswas, Sebastiano Boscarino, David I. Ketcheson +1

We study the application of exponential time integration methods, coupled with Fourier pseudospectral space discretization, to the hyperbolic Korteweg-de Vries (KdVH) system. We in…

math.NA2026

An Adaptive Fourier Spectral Method for the Vlasov-Poisson system

Seung Yeon Cho, Giovanni Russo

Numerical simulation of the Vlasov-Poisson system faces fundamental challenges due to phase-space filamentation. Standard spectral methods rely on artificial filtering to suppress…

math.NA2026

An efficient implicit scheme for the multimaterial Euler equations in Lagrangian coordinates

Simone Chiocchetti, Giovanni Russo

Stratified fluids composed of a sequence of alternate layers show interesting macroscopic properties, which may be quite different from those of the individual constituent fluids.…

math.NA2025★ 2 cited

A quantitative comparison of high-order asymptotic-preserving and asymptotically-accurate IMEX methods for the Euler equations with non-ideal gases

Giuseppe Orlando, Sebastiano Boscarino, Giovanni Russo

We present a quantitative comparison between two different Implicit-Explicit Runge-Kutta (IMEX-RK) approaches for the Euler equations of gas dynamics, specifically tailored for the…

math.NA2023

A semi-implicit finite volume method for the Exner model of sediment transport

S. Avgerinos, M. J. Castro, E. Macca +1

The aim of this work is to construct efficient finite volume schemes for the numerical study of sediment transport in shallow water, in the framework of the Exner model.In most cas…

math.NA2022★ 12 cited

Well-balanced adaptive compact approximate Taylor methods for systems of balance laws

H. Carrillo, E. Macca, C. Pares +1

Compact Approximate Taylor (CAT) methods for systems of conservation laws were introduced by Carrillo and Pares in 2019. These methods, based on a strategy that allows one to exten…