186 citations
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math.NA2020★ 7 cited
A universal centred high-order method based on implicit Taylor series expansion with fast second order evolution of spatial derivatives
Gino I. Montecinos
In this paper, a centred universal high-order finite volume method for solving hyperbolic balance laws is presented. The scheme belongs to the family of ADER methods where the Gene…
math.NA2018★ 32 cited
An Efficient, Second Order Accurate, Universal Generalized Riemann Problem Solver Based on the HLLI Riemann Solver
Dinshaw S. Balsara, Jiequan Li, Gino I. Montecinos
The Riemann problem, and the associated generalized Riemann problem, are increasingly seen as the important building blocks for modern higher order Godunov-type schemes. In the pas…