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Department of Mathematics

Applied Mathematics and Computation Seminars

Methane bubbles frozen in the ice of Lake Baikal

The AMC seminar is devoted to general topics in applied mathematics and computation. We welcome an interdisciplinary audience and speakers: faculty, researchers, and graduate students from mathematics, geosciences, computer science, engineering, atmospheric sciences, and other disciplines, to attend and present research talks in their fields as well as reaching across multiple fields. Both technical, tutorial, and expository presentations are welcome.

Attendees are encouraged to join the mailing list by sending an email to the organizer (M. Peszynska).

Students attending regularly are encouraged to sign up for (an appropriate section of) seminar credit under MTH 607. Non-OSU participants from outside academe are also encouraged to write an email to the organizers and provide their names and affiliation.

See below for upcoming seminars or access the seminar archive.

Organizers

Malgorzata Peszynska and Ralph E. Showalter.

Timing

Meetings are Fridays at noon.

Math in the Arctic, part I

STAG 112

Speaker: Malgorzata Peszynska

The Arctic is a complex environment. In this first talk we focus on thermal processes (i.e., the nonlinear heat equation with a free boundary) and the appropriate mathematical framework in the sense of distributions, as well as on the computational aspects. This talk is partially based on joint work with Lisa Bigler (Math PHD 2022, currently in Sandia National Lab), and Naren Vohra (Math PHD 2023, currently at Losa Alamost National Lab). Read more.

Nonlinear integrable equation-based generation of random waves in large-scale basins and flumes

STAG 112

Speaker: Solomon Yim and Patrik Nabelek

Generation of prescribed, scaled physical time series of large-amplitude (including rogue) waves, as measured at particular ocean sites, are often needed in large-scale wave basin (LSWB) experiments to replicate extreme wave impact loads on offshore structures. Current state-of-the-practice models for wave generation in commercial and academic LSWBs worldwide are limited mostly to linear and second-order-term removal types. However, for large-amplitude wave generation, nonlinear models such as nonlinear Schrodinger (NLS) for deep water, Korteweg-de Vries (KdV) for shallow water, and their associated higher-order equations are deemed more accurate for large-amplitude wave simulations. In this study, some analytical and numerical tools we have developed for wave propagation analysis using the periodic and quasi-periodic inverse scattering transform (a.k.a. finite gap) theory based on the NLS and KdV equations propagation, and a nonlinear wavemaker theory (NWMT) based on NLS for wave… Read more.

Digital Twins for Time Dependent Problems

STAG 112

Speaker: Juan Restrepo

ABSTRACT: A digital twin is a set of algorithms that connect the virtual world to the physical worl in a fully bi-directional way: for example, a predictive digital twin will use physics models, machine learned models, constraints as well as observations to make forecasts. A digital twin used as a controller would yield a virtual prescription, taking into account observations, that prescribes changes in the real world aimed at obtaining a certain desired real world outcome. I will describe ongoing work on developing a digital twin that will become central to an artificial intelligence framework for large scale electric grid resilience via adaptation. BIO: Juan M. Restrepo is a Distinguished Member of the R&D staff and the section head of the mathematics in computation section at Oak Ridge National Laboratory. His research concerns foundational aspects of machine learning and the development of new artificial intelligence algorithms for science. He is a Fellow of the Society of… Read more.