3 papers
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…
math.NA2019
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…
math.OC2017
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…