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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.NA2020
An iterative scaling function procedure for solving scalar non-linear hyperbolic balance laws
Gino I. Montecinos
The scaling of the exact solution of a hyperbolic balance law generates a family of scaled problems in which the source term does not depend on the current solution. These problems…