In this paper, we present a conceptual-numerical model that can be deduced from a calibrated finite difference groundwater-flow model, which provides a parsimonious approach to simulate and analyze hydraulic heads and ...
Company Rossi, Rafael; Jódar Sánchez, Lucas Antonio; Pintos Taronger, José Ramón(Elsevier, 2012-06)
Markets liquidity is an issue of very high concern in financial risk management. In a perfect liquid market the option pricing model becomes the well-known linear Black-Scholes problem. Nonlinear models appear when transaction ...
Piqueras-García, Miguel Ángel; Company Rossi, Rafael; Jódar Sánchez, Lucas Antonio(Elsevier, 2017)
[EN] The spatial temporal spreading of a new invasive species in a habitat has interest in ecology
and is modeled by a moving boundary diffusion logistic partial differential problem, where
the moving boundary represents ...
Serrano Cruz, José Ramón; Climent, H.; Piqueras, P.; García Afonso, Óscar(Elsevier, 2013-04)
This paper presents a chemical species transport model to account for variable composition and gas properties along the flow path in internal combustion engines. The numerical solution to adapt the gas dynamic model to ...
Company Rossi, Rafael; Egorova, Vera; Jódar Sánchez, Lucas Antonio(Elsevier, 2018)
[EN] The matter of the stability for multidimensional diffusion-advection-reaction problems treated with the semi-discretization method is remaining challenge because when all the stepsizes tend simultaneously to zero the ...
[EN] Numerical simulations are useful in the processes of design, development and optimization of transducers for non-destructive testing. In this work, a three-dimensional velocity-stress finite-difference model is presented ...
Casabán, M.-C.; Company Rossi, Rafael; Jódar Sánchez, Lucas Antonio(Elsevier, 2023-01)
[EN] This paper deals with the construction of numerical solutions of moving boundary random problems where the uncertainty is limited to a finite degree of randomness in the mean square framework. Using a front fixing ...
Piqueras García, Miguel Ángel(Universitat Politècnica de València, 2018-09-10)
Multitud de problemas en ciencia e ingeniería se plantean como ecuaciones en derivadas parciales (EDPs). Si la frontera del recinto donde esas ecuaciones han de satisfacerse se desconoce a priori, se habla de "Problemas ...
[EN] In this paper, we investigate and implement a numerical method that is based on the mimetic finite difference operator in order to solve the nonlinear Allen-Cahn equation with periodic and non-periodic boundary ...