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In this paper we deal with the numerical approximation of
integro-differential equations arising in financial applications
in which jump processes act as the underlying stochastic processes.
Our aim is to find finite differences schemes which are high-order accurate
for large time simulations.… |
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Molecular dynamics (MD) has become one of the most powerful tools of investigation in soft matter. Despite such success, simulations of large molecular environments are mostly run using the approximation of closed systems without the possibility of exchange of matter. Due to the molecular… |
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In order to take into account the territory in which the outputs are in the market and the time-depending firms' strategies, the discrete Cournot duopoly game (with adaptive expectations, modeled by Kopel) is generalized through a non autonomous reaction-diffusion binary system of PDEs, with self… |
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The general relativistic version is developed for Robertsons
discussion of the Poynting-Robertson effect that he based on special relativity and
Newtonian gravity for point radiation sources like stars. The general relativistic
model uses a test radiation field of photons in outward radial motion… |
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Marine species reproduce and compete while being advected by turbulent flows. It is largely unknown, both theoretically and experimentally, how population dynamics and genetics are changed by the presence of fluid flows. Discrete agent-based simulations in continuous space allow for accurate… |
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Various molecular pharmacokinetic-pharmacodynamic (PK-PD) models have been proposed in the last decades to represent and predict drug effects in anticancer chemotherapies. Most of these models are cell population based since clearly measurable effects of drugs can be seen much more easily on… |
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In this paper we revisit the problem of performing a QZ step with a so-called "perfect shift", which is an
"exact" eigenvalue of a given regular pencil lambda B-A in unreduced Hessenberg-Triangular form. In exact
arithmetic, the QZ step moves that eigenvalue to the bottom of the pencil, while the… |
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