Listar GI-M2NICA - Artigos por título
Mostrando ítems 40-59 de 74
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Numerical Analysis of a Second Order Pure Lagrange--Galerkin Method for Convection-Diffusion Problems. Part II: Fully Discretized Scheme and Numerical Results
(SIAM, Society for Industrial and Applied Mathematics, 2012-11-01)[Abstract]: We analyze a second order pure Lagrange-Galerkin method for variable coefficient convection-(possibly degenerate) diffusion equations with mixed Dirichlet-Robin boundary conditions. In a previous paper the ... -
Numerical Analysis of a Second order Pure Lagrange–Galerkin Method for Convection-Diffusion Problems. Part I: Time Discretization
(SIAM, Society for Industrial and Applied Mathematics, 2012-04-17)[Abstract]: We propose and analyze a second order pure Lagrangian method for variable coefficient convection-(possibly degenerate) diffusion equations with mixed Dirichlet-Robin boundary conditions. First, the method is ... -
Numerical solution of a 1-d elastohydrodynamic problem in magnetic storage devices
(E D P Sciences, 2008-07)[Abstract] In this work we present new numerical methods to simulate the mechanics of head-tape magnetic storage devices. The elastohydrodynamic problem is formulated in terms of a coupled system which is governed by a ... -
Numerical Solution of a Nonlinear PDE Model for Pricing Renewable Energy Certificates (RECs)
(Elsevier, 2021)[Abstract] In this article we present a valuation method for Renewable Energy Certificates (RECs) or green certificates. For this purpose, we propose a non-linear PDE model with two stochastic factors: the accumulated green ... -
On a FEM--BEM formulation for an exterior quasilinear problem in the plane
(Society for Industrial and Applied Mathematics (SIAM), 2000-05)[Abstract] We use a version of the FEM--BEM method introduced by Costabel [ Boundary Elements IX, Vol. 1, C. A. Brebbia et al., eds., Springer-Verlag, 1987] and Han [ J. Comput. Math., 8 (1990), pp. 223--232] to discretize ... -
On a Neural Network to Extract Implied Information from American Options
(Routledge, 2022)[Abstract] Extracting implied information, like volatility and dividend, from observed option prices is a challenging task when dealing with American options, because of the complex-shaped early-exercise regions and the ... -
On an adaptive stabilized mixed finite element method for the Oseen problem with mixed boundary conditions
(Elsevier BV, 2020-06-15)[Abstract] We consider the Oseen problem with nonhomogeneous Dirichlet boundary conditions on a part of the boundary and a Neumann type boundary condition on the remaining part. Suitable least squares terms that arise from ... -
PDE formulation of some SABR/LIBOR market models and its numerical solution with a sparse grid combination technique
(Elsevier, 2018-03-01)[Abstract]: SABR models have been used to incorporate stochastic volatility to LIBOR market models (LMM) in order to describe interest rate dynamics and price interest rate derivatives. From the numerical point of view, ... -
PDE Models and Numerical Methods for Total Value Adjustment in European and American Options with Counterparty Risk
(Elsevier Inc., 2017-09-01)[Abstract] Since the last financial crisis, a relevant effort in quantitative finance research concerns the consideration of counterparty risk in financial contracts, specially in the pricing of derivatives. As a consequence ... -
PDE Models for the Pricing of a Defaultable Coupon-Bearing Bond Under an Extended JDCEV Model
(Elsevier, 2021)[Abstract] We consider a two-factor model for the pricing of a non callable defaultable bond which pays coupons at certain given dates. The model under consideration is the Jump to Default Constant Elasticity of Variance ... -
PDEs for pricing interest rate derivatives under the new generalized Forward Market Model (FMM)
(Elsevier, 2024-09-01)[Abstract]: In this article we derive partial differential equations (PDEs) for pricing interest rate derivatives under the generalized Forward Market Model (FMM) recently presented by A. Lyashenko and F. Mercurio in [1] ... -
Pricing pension plans based on average salary without early retirement: partial differential equation modeling and numerical solution
(Infopro Digital Services, 2012)[Abstract] In this paper, a partial differential equation model for the pricing of pension plans based on average salary is posed by using the dynamic hedging methodology. The existence and uniqueness of solutions for ... -
Pricing pension plans under jump–diffusion models for the salary
(Elsevier, 2014)[Abstract] In this paper we consider the valuation of a defined benefit pension plan in the presence of jumps in the underlying salary and including the possibility of early retirement. We will consider that the salary ... -
Pricing renewable energy certificates with a Crank–Nicolson Lagrange–Galerkin numerical method
(2023-04)[Abstract]: The valuation problem of renewable energy certificates can be formulated in terms of a nonlinear PDE model where the underlying stochastic factors are the accumulated green certificates sold by an authorized ... -
Pricing swing options in electricity markets with two stochastic factors using a partial differential equation approach
(2017)[Abstract] In this paper, we consider the numerical valuation of swing options in electricity markets based on a two-factor model. These kinds of contracts are modeled as pathdependent options with multiple exercise ... -
Pure Lagrangian and Semi-Lagrangian Finite Element Methods for the Numerical Solution of Convection-Diffusion Problems
(University of Alberta, Northwestern Polytechnical University, Institute for Scientific Computing, 2014)[Abstract]: In this paper we propose a unified formulation to introduce and analyze (pure) Lagrangian and semi-Lagrangian methods for solving convection-diffusion partial differential equations. This formulation allows us ... -
Pure Lagrangian and semi-Lagrangian finite element methods for the numerical solution of Navier–Stokes equations
(Elsevier, Institute for Mathematics and Computer Science (IMACS), 2015-05-26)[Abstract]: In this paper we propose a unified formulation to introduce Lagrangian and semi-Lagrangian velocity and displacement methods for solving the Navier–Stokes equations. This formulation allows us to state classical ... -
Quasi-Regression Monte-Carlo Scheme for Semi-Linear PDEs and BSDEs with Large Scale Parallelization on GPUs
(Springer, 2019-04-04)[Abstract]: In this article we design a novel quasi-regression Monte Carlo algorithm in order to approximate the solution of discrete time backward stochastic differential equations, and we analyze the convergence of the ... -
Real quantum amplitude estimation
(Springer, 2023)[Abstract]: We introduce the Real Quantum Amplitude Estimation (RQAE) algorithm, an extension of Quantum Amplitude Estimation (QAE) which is sensitive to the sign of the amplitude. RQAE is an iterative algorithm which ... -
SABR/LIBOR market models: Pricing and calibration for some interest rate derivatives
(Elsevier, 2014-09-01)[Abstract]: In order to overcome the drawbacks of assuming deterministic volatility coefficients in the standard LIBOR market models to capture volatility smiles and skews in real markets, several extensions of LIBOR models ...