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BCAM's Institutional Repository Data
Institutional Repository
735 Publications
OpenAIRE 3.0 (OA, funding)
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  • Numerical valuation of two-asset options under jump diffusion models using Gauss-Hermite quadrature

    Fakharany M.; Egorova V.; Company R. (2017)
    In this work a finite difference approach together with a bivariate Gauss–Hermite quadrature technique is developed for partial integro-differential equations related to option pricing problems on two underlying asset driven by jump-diffusion models. Firstly, the mixed derivative term is removed using a suitable transformation avoiding numerical drawbacks such as slow convergence and inaccuracy due to the appearance of spurious oscillations. Unlike the more traditional truncation approach ...

    Cost-efficient deployment of multi-hop wireless networks over disaster areas using multi-objective meta-heuristics

    Bilbao M. N.; Del Ser J.; Perfecto C.; Salcedo-Sanz S.; Portilla-Figueras J. A. (2017)
    Nowadays there is a global concern with the growing frequency and magnitude of natural disasters, many of them associated with climate change at a global scale. When tackled during a stringent economic era, the allocation of resources to efficiently deal with such disaster situations (e.g., brigades, vehicles and other support equipment for fire events) undergoes severe budgetary limitations which, in several proven cases, have lead to personal casualties due to a reduced support equipment. A...

    Internal control for non-local Schrodinger and wave equations involving the fractional Laplace operator

    Biccari U. (2014)
    We analyse the interior controllability problem for a non-local Schr\"odinger equation involving the fractional Laplace operator $(-\Delta)^s$, $s\in(0,1)$, on a bounded $C^{1,1}$ domain $\Omega\subset\mathbb{R}^n$. The controllability from a neighbourhood of the boundary of the domain is obtained for exponents $s$ in the interval $[1/2,1)$, while for $s

    Numerical aspects of large-time optimal control of Burgers equation

    Allahverdi N.; Pozo A.; Zuazua E. (2015)
    In this paper, we discuss the efficiency of various numerical methods for the inverse design of the Burgers equation, both in the viscous and in the inviscid case, in long time-horizons. Roughly, the problem consists in, given a final desired target, to identify the initial datum that leads to it along the Burgers dynamics. This constitutes an ill-posed backward problem. We highlight the importance of employing a proper discretization scheme in the numerical approximation of the equation unde...

    Nonlinear weakly curved rod by Γ-Convergence

    Velčíc I. (2012)
    We present a nonlinear model of weakly curved rod, namely the type of curved rod where the curvature is of the order of the diameter of the cross-section. We use an approach analogous to the one for rods and curved rods and start from the strain energy functional of three dimensional nonlinear elasticity. We do not impose any constitutional behavior of the material and work in a general framework. To derive the model, by means of Γ-convergence, we need to set the order of strain energy (i.e.,...
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