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2022

14 Wednesday Dec 2022
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04:00 PM 05:00 PM

Lagrangian Approximations and Computations of Front Speeds in Chaotic Flows

ABSTRACT We study the propagation speeds of reaction-diffusion-advection (RDA) fronts in time-periodic cellular and chaotic flows with Kolmogorov-Petrovsky-Piskunov (KPP) nonlinearity....
Venue: G5-314, Yeung Kin Man Academic Building
07 Wednesday Dec 2022
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04:00 PM 05:00 PM

Mathematics of in-gap interface modes in photonic/phonoic structures

ABSTRACT The developments of topological insulators have provided a new avenue of creating interface modes (or edge modes) in photonic/phononic structures....
Venue: G5-314, Yeung Kin Man Academic Building
30 Wednesday Nov 2022
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04:00 PM 05:00 PM

Evolving finite element methods with an artificial tangential velocity for mean curvature flow and Willmore flow

ABSTRACT An artificial tangential velocity is introduced into the evolving surface finite element methods for mean curvature flow and Willmore flow in order to improve the mesh quality in approxima...
Venue: B5-311 Yeung Kin Man Academic Building
30 Wednesday Nov 2022
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03:00 PM 04:00 PM

Large ranking games with diffusion control

ABSTRACT We consider a symmetric stochastic differential game where each player can control the diffusion intensity of an individual dynamic state process, and the players whose states at a determi...
Venue: Online via Zoom
30 Wednesday Nov 2022
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10:00 AM 11:00 AM

Empirical approximation to invariant measures for McKean-Vlasov processes

ABSTRACT This work obtains  that, under a monotonicity condition, the invariant probability measure of a McKean-Vlasov process can be approximated by weighted empirical measures of some proces...
Venue: Online Zoom
23 Wednesday Nov 2022
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03:00 PM 04:00 PM

Resolution analysis in some scattering problems and enhanced resolution in certain scenarios

ABSTRACT In this talk, we explore image resolution and the ill-posed-ness of inverse scattering problems.  In particular, we would like to discuss how certain properties of the inclusion might...
Venue: Online via Zoom
03 Thursday Nov 2022
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04:30 PM 05:30 PM

Research Methodologies---a computational mathematician's perspective

ABSTRACT In this informal talk, I will share my experience in doing research in computational mathematics.   ...
Venue: B6605 College Conference Room 6th floor, Blue Zone, Yeung Kin Man Academic Building
26 Wednesday Oct 2022
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04:00 PM 05:00 PM

40 Years of Calderon's Problem

ABSTRACT We survey some of the results obtained during the last 40 years on Calderon's inverse problem: Can one determine the electrical conductivity in the interior of a medium by making voltage a...
Venue: 1312, Li Dak Sum Yip Yio Chin Academic Building (LI)
19 Wednesday Oct 2022
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09:00 AM 10:00 AM

A priori error analysis and greedy training algorithms for neural networks solving PDEs

ABSTRACT We provide an a priori error analysis for methods solving PDEs using neural networks....
Venue: Online Zoom
18 Thursday Aug 2022
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05:00 PM 06:00 PM

A posteriori error analysis for discontinuous Galerkin methods on polygonal and polyhedral meshes

ABSTRACT PDE models are often characterised by local features such as solution singularities/layers and domains with complicated boundaries and phase transitions....
Venue: Online Zoom