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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.

A Tensor-Train Stochastic Finite Volume Method for Uncertainty Quantification

STAG 112

Speaker: Svetlana Tokareva

ABSTRACT: Many problems in physics and engineering are modeled by systems of partial differential equations such as the shallow water equations of hydrology, the Euler equations for inviscid, compressible flow, and the magnetohydrodynamic equations of plasma physics. The initial data, boundary conditions, and coefficients of these models may be uncertain due to measurement, prediction, or modeling errors.The stochastic finite volume (SFV) method offers an efficient one-pass approach for assessing uncertainty in hyperbolic conservation laws. The SFV method has shown great promise as a weakly-intrusive PDE solver for uncertainty quantification. However, in many relevant applications, the dimension of the stochastic space can make traditional implementations of the SFV method infeasible or impossible due to the so-called curse of dimensionality. We introduce the Tensor-Train SFV (TT-SFV) method within the tensor-train framework to manage the curse of dimensionality. This integration,… Read more.

TBA

STAG 112

Speaker: Susan Minkoff

Read more.

TBA

STAG 112

Speaker: Tyler Fara

Read more.

Mathematical Strategies for Regional Natural Resource Assessments with Examples for Geothermal Energy

STAG 112

Speaker: Erick Burns

Abstract: Under the Energy Act of 2020, the U.S. Geological Survey is tasked with completing assessments for five geothermal resource types: conventional geothermal, enhanced geothermal systems (EGS), low-temperature heating and cooling resources, underground thermal energy storage, and the potential for co-production of conventional hydrothermal with critical minerals. The mathematical tools employed for these assessments range from data-driven methods (e.g., Machine Learning) to process-based physically motivated models, with methods selected to capitalize upon what is known from past study. The goal is to make a best estimate of the resource along with estimates of uncertainty, typically using Bayesian paradigms. The reality of data often conflicts with the idealized assumptions of the underlying mathematical strategies, and understanding the math helps the practitioner understand and address bias (e.g., the use of regularization). As methods become increasingly complex and… Read more.

Two presentations by math grads

STAG 112

Presentation by Mansi MahajanTitle : Spectral Finite Elements for Electromagnetic Metamaterial Models Abstract : Metamaterials are artificially structured materials designed to exhibit electromagnetic properties not found in naturally occurring materials. This talk begins with a brief overview of electromagnetic metamaterials and their applications, such as cloaking, negative refraction, and superlensing. I will then introduce spectral finite element methods for modeling wave propagation in such media, with a focus on dispersive models like the Drude model and the use of edge (Nédélec) elements for accurate discretization of Maxwell’s equations. The talk will also touch on dispersion relations arising from the discretized system and their relevance to wave behavior in metamaterials.Presentation by Nicholas Slugg Read more.