36 citations · 179 across the 12 of their papers we have counts for
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math.NA2020★ 20 cited
An order-adaptive compact approximation Taylor method for systems of conservation laws
H. Carrillo, E. Macca, G. Russo +2
We present a new family of high-order shock-capturing finite difference numerical methods for systems of conservation laws. These methods, called Adaptive Compact Approximation Tay…
math.NA2020
Lax Wendroff approximate Taylor methods with fast and optimized weighted essentially non-oscillatory reconstructions
Hugo Carrillo, Carlos Parés, David Zorío
The goal of this work is to introduce new families of shock-capturing high-order numerical methods for systems of conservation laws that combine Fast WENO (FWENO) and Optimal WENO…
math.NA2020★ 25 cited
Well-balanced high-order finite difference methods for systems of balance laws
Carlos Parés, Carlos Parés-Pulido
In this paper, high order well-balanced finite difference weighted essentially non-oscillatory methods to solve general systems of balance laws are presented. Two different familie…