ABSTRACT A cornerstone of topological electrodynamics is the bulk-boundary (or bulk-edge) correspondence principle (BBCP): the number of topologically protected interface modes between two periodic...

ABSTRACT Partial differential equations (PDEs) are widely used to model complex physical systems, but solving them efficiently remains a significant challenge....

ABSTRACT In this talk we will study a model describing the evolution of the thickness of a grounded shallow ice sheet....

ABSTRACT We will consider the inverse problem of determining the sound speed or index or refraction of a medium by measuring the travel times of waves going through the medium....

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....

ABSTRACT We study portfolio selection in a complete continuous-time market where the preference is dictated by the rank-dependent utility....

ABSTRACT Non-line-of-sight imaging aims at recovering obscured objects from multiple scattered light....

ABSTRACT First, we review the semi-discrete optimal transport problem and its relation to a Laguerre tessellation.  Then, we propose a new method for solving the semi-discrete optimal transpor...

ABSTRACT We introduce a new parameterization strategy that can be used to design algorithms simulating geometric flows on Wasserstein manifold, the probability density space equipped with optimal t...

ABSTRACT We develop a Voronoi cell-based model of epithelial cell dynamics and apply it to two different phenomena: (1) the regulation of the cornea, and (2) potential pathways for the evolution of...