Numerical and theoretical investigation of blow-up in various fluid models

The global regularity problem for smooth solutions to the incompressible Euler and Navier-Stokes equations is a major open problem in the analysis partial differential equations and in mathematical physics. In recent years, there have been several significant advances in our understanding of the global regularity problem for the Euler equations both numerically and analytically. Particularly, […]

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Learning Jungle AI Recommender System for Enhanced Education

Devhaus Corporation operates 20 early child education centers across 5 countries including Canada, USA, Singapore, Cambodia and Philippines. To further implement its principle of Observation to Education, Devhaus is partnering with York University research team to develop an Artificial Intelligence Recommender System to help teachers across the world select optimal lesson plans for each kid […]

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Options spanning in sublattice spaces

Market completeness is a broad assumption used in economical finance. It is in which any portfolio payoff can be replicated by underlying assets, or “basic” assets. The completion of markets using options has been established by Ross (1976), using other methodologies, and the relationship of options and lattice spaces by Brown and Ross (1991). I […]

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Pricing Swaptions and Bond Options by Using One Volatility Surface

Options belong to a class of investments known as derivatives, because their value is derived from the value of an underlying asset that the option holder has the right to buy or sell. Their pricing models generally require at least the volatility of the underlying asset (eq. swap rate, bond price). We want to focus […]

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Méthodes de programmation dynamique stochastique pour la planification hydro-électrique moyen-terme sous incertitude

Le but de la planification hydro-électrique moyen-terme est de déterminer la quantité de ressources hydrauliques qui sera puisé de chacun des réservoirs d’un système de production pour répondre à une demande électrique ou en débit. Ces quantités ou politiques s’étendent en général sur des horizons de 1 à 2 années avec des décisions hebdomadaires ou […]

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Optimization of Savings and Retirement for Canadians

There are numerous financial goals that most Canadians face. Retirement, funding post high school education, managing debt, purchasing appropriate amounts of insurance and saving for lump sum purchases. Each of these goals has various accounts and savings vehicles associated with them. The research projects we are proposing will help Canadians define their own financial situation, […]

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Development of algorithms and methods for information fusion enabled decisionsupport

In every situation humans make observations and analyse the observed information, by combining and evaluating the relationships between the observation to understand the situation. Often these observations can be uncertain, redundant, from unknown sources, contradictory, and too many for a human to be able to analyse fast enough and correctly, leading to incorrect assessment of […]

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Chudnovsky-Ramanujan Type Formulae

In a well-known 1914 paper, Ramanujan gave a number of rapidly converging series for 1/pi which are derived using modular functions of higher level. The Chudnovskys derived an analogous series representation 1/pi, often used in practice for record breaking computations of pi. These formulae have recently been explained in the context of elliptic curves, modular […]

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Gestion combinee de I’allocation des ordres de fabrication aux usines et desroutes de livraison aux clients chez Toiture Mauricienne

Toiture Mauricienne fabrique des fermes de to its qu’elle livre directement a partir de ses usines et entrepOts aux sites de construction de ses clients. Lorsqu’un client appelle, I’ordre de fabricalion (OF) est generalement alloue a I’usine disponible la plus proche du site de livraison. Une fois les cherpentes fabriquees, cheque usine confectionne des routes […]

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Image Segmentation Techniques and its Application in Geosciences

TerraNotes Ltd is a geoscience company based in Edmonton, Alberta. TerraNotes has developed or improved 75 proprietary techniques in geophysical applications. With the current advanced techniques in making use of ground-based and airborne surveys, the exploration industry can now routinely produce complex geophysical mappings. Hence it is of importance to develop advanced image processing techniques […]

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