Listar GI-M2NICA - Artigos por título
Mostrando ítems 20-39 de 74
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Boundary-safe PINNs extension: Application to non-linear parabolic PDEs in counterparty credit risk
(Elsevier B.V., 2023)[Abstract]: The goal of this work is to develop a novel strategy for the treatment of the boundary conditions for multi-dimension nonlinear parabolic PDEs. The proposed methodology allows to get rid of the heuristic choice ... -
Data-driven characterization of viscoelastic materials using time-harmonic hydroacoustic measurements
(Elsevier B.V., 2024-02-01)[Absctract]: Any numerical procedure in mechanics requires choosing an appropriate model for the constitutive law of the material under consideration. The most common assumptions regarding linear wave propagation in a ... -
Effects of jump-diffusion models for the house price dynamics in the pricing of fixed-rate mortgages, insurance and coinsurance
(Elsevier, 2015)[Abstract] In the pricing of fixed rate mortgages with prepayment and default options, we introduce jump-diffusion models for the house price evolution. These models take into account sudden changes in the price (jumps) ... -
End-To-End Multi-Task Learning for Simultaneous Optic Disc and Cup Segmentation and Glaucoma Classification in Eye Fundus Images
(Elsevier, 2022)[Abstract] The automated analysis of eye fundus images is crucial towards facilitating the screening and early diagnosis of glaucoma. Nowadays, there are two common alternatives for the diagnosis of this disease using deep ... -
Enriched finite element subspaces for dual–dual mixed formulations in fluid mechanics and elasticity
(Elsevier, 2005)[Abstract] In this paper we unify the derivation of finite element subspaces guaranteeing unique solvability and stability of the Galerkin schemes for a new class of dual-mixed variational formulations. The approach, which ... -
Equilibrium models with heterogeneous agents under rational expectations and its numerical solution
(Elsevier B.V., 2021-05)[Abstract]: In this work we assume rational expectations to pose general equilibrium models with heterogeneous firms that can enter or exit the industry. More precisely, we assume a general Ito process for the dynamics of ... -
Financial Option Valuation by Unsupervised Learning with Artificial Neural Networks
(MDPI AG, 2020-12-28)[Abstract] Artificial neural networks (ANNs) have recently also been applied to solve partial differential equations (PDEs). The classical problem of pricing European and American financial options, based on the corresponding ... -
Fully discrete FEM-BEM method for a class of exterior nonlinear parabolic-elliptic problems in 2D
(Elsevier BV * North-Holland, 2006-10)[Abstract] We considered a nonlinear parabolic equation in a bounded domain of R2 coupled with the Laplace equation in the corresponding exterior region. This kind of problems appears in the modelling of quasi-stationary ... -
Global Optimization for Automatic Model Points Selection in Life Insurance Portfolios
(MDPI AG, 2021-02-25)[Abstract] Starting from an original portfolio of life insurance policies, in this article we propose a methodology to select model points portfolios that reproduce the original one, preserving its market risk under a ... -
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 ... -
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 ... -
IDESS: a toolbox for identification and automated design of stochastic gene circuits
(Oxford University Press, 2023-11)[Abstract]: Motivation One of the main causes hampering predictability during the model identification and automated design of gene circuits in synthetic biology is the effect of molecular noise. Stochasticity may ... -
Jump-diffusion models with two stochastic factors for pricing swing options in electricity markets with partial-integro differential equations
(Elsevier, 2019)[Abstract] In this paper we consider the valuation of swing options with the possibility of incorporating spikes in the underlying electricity price. This kind of contracts are modelled as path dependent options with ... -
Jump–diffusion productivity models in equilibrium problems with heterogeneous agents
(Elsevier B.V., 2024-11)[Abstract]: In this paper we adopt a rational expectations framework to formulate general equilibrium models with heterogeneous agents. The productivity dynamics are characterized by a jump–diffusion model, thus allowing ... -
Low cost a posteriori error estimators for an augmented mixed FEM in linear elasticity
(Elsevier BV * North-Holland, 2014)[Abstract] We consider an augmented mixed finite element method applied to the linear elasticity problem and derive a posteriori error estimators that are simpler and easier to implement than the ones available in the ... -
Mathematical Analysis and Numerical Methods for Pricing Pension Plans Allowing Early Retirement
(SIAM, 2013)[Abstract] In this paper, we address the mathematical analysis and numerical solution ofa model for pricing a defined benefit pension plan. More precisely, the benefits received by themember of the plan depend on the ... -
Mathematical analysis and numerical simulation of a Reynolds-Koiter model for the elastohydrodynamic journal-bearing device
(E D P Sciences, 2002-03)[Abstract] The aim of this work is to deduce the existence of solution of a coupled problem arising in elastohydrodynamic lubrication. The lubricant pressure and concentration are modelled by Reynolds equation, jointly ... -
Mathematical analysis of obstacle problems for pricing fixed-rate mortgages with prepayment and default options
(Elsevier, 2018)[Abstract] In this paper, we address the mathematical analysis of a partial differential equation model for pricing fixed-rate mortgages with prepayment and default options, where the underlying stochastic factors are the ... -
Model and numerical methods for pricing renewable energy certificate derivatives
(Elsevier B.V., 2023-04)[Abstract]: Assuming that the price of the renewable energy certificate (REC) is known, we formulate the valuation problem of a European REC derivative in terms of a linear PDE model where the underlying stochastic factors ... -
Models and numerical methods for XVA pricing under mean reversion spreads in a multicurrency framework
(Elsevier B.V., 2024-03)[Abstract]: In this article we make some new relevant contributions to the computation of total valuation adjustments (XVA) for financial derivatives involving several currencies. From the modelling point of view, for the ...