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Departmental Colloquia

10 Tuesday Dec 2024
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04:00 PM 05:00 PM

$\alpha$-potential games: A new paradigm for $N$-player dynamic games

ABSTRACT Static potential games, pioneered by Monderer and Shapley (1996), are non-cooperative games in which there exists an auxiliary function called static potential function, so that any player...
Venue: Y5-205, Yeung Kin Man Academic Building
03 Tuesday Dec 2024
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05:00 PM 06:00 PM

Improving the convergence of Markov chains via permutations and projections

ABSTRACT This talk aims at improving the convergence to equilibrium of finite Markov chains via permutations and projections....
Venue: G5-214, Yeung Kin Man Academic Building
26 Tuesday Nov 2024
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04:00 PM 05:00 PM

Two-phase micropolar fluids: Phase field models and their analysis

ABSTRACT Micropolar fluids are among the simplest cases of fluids with microstructures, where each fluid particle has its own internal rotations....
Venue: G5-214, Yeung Kin Man Academic Building
15 Tuesday Oct 2024
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03:00 PM 04:00 PM

Mamba Neural Operator: Who Wins? Transformers vs. State-Space Models for PDEs

ABSTRACT Partial differential equations (PDEs) are widely used to model complex physical systems, but solving them efficiently remains a significant challenge....
Venue: Y5-205, Yeung Kin Man Academic Building
08 Tuesday Oct 2024
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04:00 PM 05:00 PM

On the modelling and analysis of grounded shallow ice sheets melting

ABSTRACT In this talk we will study a model describing the evolution of the thickness of a grounded shallow ice sheet....
Venue: G5-214, Yeung Kin Man Academic Building
29 Thursday Aug 2024
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03:00 PM 04:00 PM

Numerical Ergodicity of Monotone SDEs Driven by Multiplicative Noise

ABSTRACT We establish the unique ergodicity of the Markov chain generated by the stochastic theta method (STM) with \theta \in [1/2, 1] for monotone SODEs and SPDEs driven by multiplicative noise....
Venue: Y5-205, Yeung Kin Man Academic Building
12 Wednesday Jun 2024
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11:00 AM 12:00 PM

Optimality of multiscale decompositions in imaging and inverse problems

ABSTRACT The multiscale decomposition of images developed by Tadmor, Nezzar and Vese in 2004 has been extended to other imaging applications and to inverse problems, even in the nonlinear case, by ...
Venue: Y5-302, Yeung Kin Man Academic Building
03 Wednesday Apr 2024
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11:00 AM 12:00 PM

Determination of quasilinear terms from restricted data

ABSTRACT In this talk we will consider the inverse problem of determining a nonlinear term appearing in some class of nonlinear equations....
Venue: Y5-305, Yeung Kin Man Academic Building
20 Wednesday Mar 2024
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03:00 PM 04:00 PM

Conductivity Imaging Using Deep Neural Networks

ABSTRACT Conductivity imaging from various observational data represents one fundamental task in medical imaging....
Venue: B5-210 Yeung Kin Man Academic Building
01 Friday Mar 2024
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04:00 PM 05:00 PM

On nonconforming approximations for a class of semilinear problems

ABSTRACT The a priori and a posteriori error analysis in [1, 3] establishes a unified analysis for different finite element approximations to regular roots of nonlinear partial differential equatio...
Venue: Y5-204, Yeung Kin Man Academic Building