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- Universidad de GranadaES26 papers
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- Aryabhatta Research Institute of Observational SciencesIN7 papers
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10 papers · 1 filter
The numerical solution of the Dirichlet generalized and classical harmonic problems for irregular n-sided pyramidal domains by the method of probabilistic solutions
M. Zakradze, Z. Tabagari, N. Koblishvili +4
This paper describes the application of the method of probabilistic solutions (MPS) to numerically solve the Dirichlet generalized and classical harmonic problems for irregular n s…
Well-balanced POD-based reduced-order models for finite volume approximation of hyperbolic balance laws
I. Gómez-Bueno, E. D. Fernández-Nieto, S. Rubino
This paper introduces a reduced-order modeling approach based on finite volume methods for hyperbolic systems, combining Proper Orthogonal Decomposition (POD) with the Discrete Emp…
Collocation Methods for High-Order Well-Balanced Methods for Systems of Balance Laws
Irene Gómez-Bueno, Manuel Jesús Castro Díaz, Carlos Parés +1
In some previous works, two of the authors introduced a technique to design high-order numerical methods for one-dimensional balance laws that preserve all their stationary solutio…
High-order well-balanced methods for systems of balance laws: a control-based approach
Irene Gómez-Bueno, Manuel Jesús Castro Díaz, Carlos Parés
In some previous works, two of the authors have introduced a strategy to develop high-order numerical methods for systems of balance laws that preserve all the stationary solutions…
A semi-implicit exactly fully well-balanced relaxation scheme for the Shallow Water Linearized Moment Equations
C. Caballero-Cárdenas, I. Gómez-Bueno, A. del Grosso +2
When dealing with shallow water simulations, the velocity profile is often assumed to be constant along the vertical axis. However, since in many applications this is not the case,…
A second order finite volume IMEX Runge-Kutta scheme for two dimensional PDEs in finance
J. G. López-Salas, M. Suárez-Taboada, M. J. Castro +2
In this article we present a novel and general methodology for building second order finite volume implicit-explicit (IMEX) numerical schemes for solving two dimensional financial…