We derive the necessary and sufficient condition for the L∞−monotonicity of finite difference θ-scheme for a diffusion equation. We confirm that the discretization ratio ∆t = O(∆x) is necessary for the monotonicity except for the implicit scheme. In case of the heat equation, we get an explicit formula, which is weaker than the classical CFL condition. Key-words: Theta-scheme, monotonicity. ∗ W...

In the framework of Galichon, Henry-Labordère and Touzi [9], we consider the model-free no-arbitrage bound of variance option given the marginal distributions of the underlying asset. We first make some approximations which restrict the computation on a bounded domain. Then we propose a gradient projection algorithm together with a finite difference scheme to approximate the bound. The general ...

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The existence of dialects for any language constitutes a challenge for NLP in general since it adds another set of variation dimensions from a known standard. The problem is particularly interesting and challenging in Arabic and its different dialects, where the diversion from the standard could, in some linguistic views, warrant a classification as different languages. This problem would not b...

Enweji, N. 2014. Dynamics of Resistant Plasmodium falciparum Parasites. Digital Comprehensive Summaries of Uppsala Dissertations from the Faculty of Medicine 1020. 49 pp. Uppsala: Acta Universitatis Upsaliensis. ISBN 978-91-554-9007-2. Persistence of drug resistant Plasmodium falciparum is a major problem to management and control malaria in endemic areas. The focus of this thesis was to study ...

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