Applied Math & Analysis

As part of the Department of Mathematics, the Applied Mathematics Program hosts this ongoing series of seminars. The presentations cover a broad range of topics including numerical analysis, ordinary and partial differential equations, nonlinear systems, scientific computing, dynamical systems theory, mathematical biology, pattern formation, and complex physical systems.

Last updated: 2020/02/24 - 6:37am

Neural network models and concurrent learning schemes for multi-scale molecular modelling

Linfeng Zhang (Princeton University)
Tuesday, February 25 - 3:15 pm
Physics 119

We will discuss two issues in the context of applying deep learning methods to multi-scale molecular modelling: 1) how to construct symmetry-preserving neural network models for scalar and tensorial...

TBA

Jun Kitagawa (Michigan State University)
Tuesday, March 3 - 3:15 pm
119 Physics

Distinct distances on the plane (Frontiers in Mathematics)

Hong Wang (IAS)
Wednesday, March 4 - 12:00 pm
Physics 119

Given N distinct points on the plane, what is the minimal number of distinct distances between them? This problem was posed by Paul Erdos in 1946 and essentially solved by Guth and Katz in 2010. We...

Incidence estimates for tubes with application to Fourier analysis (Frontiers in Mathematics)

Hong Wang (IAS)
Friday, March 6 - 12:00 pm
Physics 119

If $\mathbb{T}$ is a collection of distinct tubes of length $N$, radius 1 and $P$ is a collection of disjoint unit balls. What is the largest size of their incidences \(I(P, \mathbb{T})=\{(p, T...

TBA

Xiangxiong Zhang (Purdue)
Tuesday, March 17 - 3:15 pm
119 Physics

TBA

Daryl Deford (MIT, CSAIL)
Tuesday, March 24 - 3:15 pm
119 Physics

TBA

Wotao Yin (UCLA)
Wednesday, March 25 - 12:00 pm
Gross 330

TBA

Pedro Aceves Sanchez (NC State)
Tuesday, March 31 - 3:15 pm
119 Physics

Vortex stretching and a modified zeroth law for the incompressible 3D Navier-Stokes equations

Tsuyoshi Yoneda (The University of Tokyo)
Wednesday, April 1 - 12:00 pm
119 Physics

By DNS of Navier-Stokes turbulence, Goto-Saito-Kawahara (2017) showed that turbulence consists of a self-similar hierarchy of anti-parallel pairs of vortex tubes, in particular, stretching in larger-...

Prediction of random and chaotic dynamics in nonlinear optics

Amir Sagiv (Columbia)
Tuesday, April 21 - 3:15 pm
119 Physics

The prediction of interactions between nonlinear laser beams is a longstanding open problem. A traditional assumption is that these interactions are deterministic. We have shown, however, that in the...