32 citations · 50 across the 8 of their papers we have counts for
9 papers
A generalized Riemann problem-based compact reconstruction method for finite volume schemes
Gino I. Montecinos, Eleuterio F. Toro, Lucas O. Müller
We present a Generalized Riemann Problem-based reconstruction method (GRPrec) for high-order finite volume schemes applied to hyperbolic partial differential equations. The method…
Optimal control approach for moving bottom detection in one-dimensional shallow waters by surface measurements
Gino Montecinos, Rodrigo Lecaros, Juan López-Ríos +1
We consider the Boussinesq-Peregrine (BP) system as described by Lannes [Lannes, D. (2013). The water waves problem: mathematical analysis and asymptotics (Vol. 188). American Math…
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…
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…
A simplified Cauchy-Kowalewskaya procedure for the implicit solution of generalized Riemann problems of hyperbolic balance laws
Gino I. Montecinos, Dinshaw S. Balsara
The Cauchy-Kowalewskaya (CK) procedure is a key building block in the design of solvers for the Generalised Rieman Problem (GRP) based on Taylor series expansions in time. The CK p…
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…
A numerical procedure and unified formulation for the adjoint approach in hyperbolic PDE-constrained optimal control problems
Gino I. Montecinos, Juan Lopez-Rios, Jaime H. Ortega +1
The present paper aims at providing a numerical strategy to deal with PDE-constrained optimization problems solved with the adjoint method. It is done through out a unified formula…
A strategy to implement Dirichlet boundary conditions in the context of ADER finite volume schemes. One-dimensional conservation laws
Gino I. Montecinos
ADER schemes are numerical methods, which can reach an arbitrary order of accuracy in both space and time. They are based on a reconstruction procedure and the solution of generali…
Analytic solutions for the Burgers equation with source terms
Gino I. Montecinos
Analytic solutions for Burgers equations with source terms, possibly stiff, represent an important element to assess numerical schemes. Here we present a procedure, based on the ch…