Modelos e métodos numéricos en enxeñaría e ciencias aplicadas (M2NICA)
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Modelos e métodos numéricos en enxeñaría e ciencias aplicadas (M2NICA)
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GI-M2NICA - Artigos [74]
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Second Order Finite Volume IMEX Runge-Kutta Schemes for Two Dimensional Parabolic PDEs in Finance
(Springer Nature, 2024-06-06)[Abstract]: We present a novel and general methodology for building second order finite volume implicit-explicit Runge-Kutta numerical schemes for solving two dimensional financial parabolic PDEs with mixed derivatives. ... -
IMEX-RK Finite Volume Methods for Nonlinear 1d Parabolic PDEs. Application to Option Pricing
(Springer Nature, 2024-06-06)[Abstract]: The goal of this paper is to develop 2nd order Implicit-Explicit Runge-Kutta (IMEX-RK) finite volume (FV) schemes for solving 1d parabolic PDEs for option pricing, with possible nonlinearities in the source and ... -
High-order well-balanced numerical schemes for one-dimensional shallow-water systems with Coriolis terms
(Elsevier B.V., 2024-05-15)[Absctract]: The goal of this work is to develop high-order well-balanced schemes for the one-dimensional shallow-water equations with Coriolis terms. The main contribution is the development of general numerical methods ... -
AMFR-W Numerical Methods for Solving High-Dimensional SABR/LIBOR PDE Models
(Society for Industrial and Applied Mathematics (SIAM), 2021-01)[Abstract]: In this work, we mainly develop a new numerical methodology to solve a PDE model recently proposed in the literature for pricing interest rate derivatives. More precisely, we use high-order-in-time AMFR-W-methods, ... -
Global optimization for data assimilation in landslide tsunami models
(Elsevier, 2020-02-15)[Abstract]: The goal of this article is to make automatic data assimilation for a landslide tsunami model, given by the coupling between a non-hydrostatic multi-layer shallow-water and a Savage-Hutter granular landslide ...
