Exploring stabilisation techniques for the reduced basis approximation of avection-diffusion PDEs
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Purpose Constrained devices, standard implants with large heads, and dual mobility systems have become popular options to manage instability after total hip arthroplasty (THA). Clinical results with these options have shown variable success rates and signi ...
This thesis develops equilibrium models, and studies the effects of market frictions on risk-sharing, derivatives pricing, and trading patterns.In the chapter titled "Imbalance-Based Option Pricing", I develop an equilibrium model of fragmented options m ...
Options are some of the most traded financial instruments and computing their price is a central task in financial mathematics and in practice. Consequently, the development of numerical algorithms for pricing options is an active field of research. In gen ...
We introduce a new method to price American options based on Chebyshev interpolation. In each step of a dynamic programming time-stepping we approximate the value function with Chebyshev polynomials. The key advantage of this approach is that it allows us ...
This paper addresses the techno-economic evaluation and optimisation of processes converting lignocellulosic biomass into liquid fuels, through the development of a suitable framework and the modelling and design of Biomass to Liquids (BTL) processes. In p ...
During the last decades, adhesives have become more preponderant as serious options to traditional mechanical ways of bonding things together. From airplane engineering to construction the advantages of such technique have pushed the innovation and conduct ...
This project was initialized by Professor Prandoni from EPFL in the context of a bachelor project entitled "Maintainable Online Coursese". The motivations for this project was the lack of intuitive slideshow annotation software considering the current boom ...
The calculation of the inverse scalelengths R/LT, R/Ln may depend on the choice of the radial variable, depending on the definition of the scalelength. The value of λT and λn, as defined in [O. Sauter {\it et al}, Phys. Plasmas {\bf ...
We derive analytic series representations for European option prices in polynomial stochastic volatility models. This includes the Jacobi, Heston, Stein-Stein, and Hull-White models, for which we provide numerical case studies. We find that our polynomial ...
We introduce a novel stochastic volatility model where the squared volatility of the asset return follows a Jacobi process. It contains the Heston model as a limit case. We show that the joint density of any finite sequence of log-returns admits a Gram–Cha ...