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# Applied and Computational Mathematics

**DMS Applied and Computational Mathematics Seminar**

Mar 24, 2023 02:00 PM

328 Parker Hall

Speaker: Christoph Fischbacher, Baylor University

Title: Spin Representation and Fermionic Fock Space

Abstract: In this talk, I will give an overview over recent results on the entanglement entropy of the one-dimensional Heisenberg XXZ model. For the spin-1/2 case, Beaud and Warzel showed that generic low-energy states satisfy a logarithmically corrected area law. I will talk about the extension of this result to higher-energy states (joint work with H. Abdul-Rahman and G. Stolz) and about a logarithmic lower bound (joint work with R. Schulte).

**DMS Applied and Computational Mathematics Seminar**

Mar 31, 2023 02:00 PM

328 Parker Hall

Speaker: **Professor ****Ivan Yotov**, University of Pittsburgh

Title: TBA

**DMS Applied and Computational Mathematics**

Apr 21, 2023 02:00 PM

328 Parker Hall

Speaker:

**Assistant Professor Peng Chen**, Georgia Tech

Title: TBA

**DMS Applied and Computational Mathematics Seminar**

Mar 17, 2023 02:00 PM

328 Parker Hall

Speaker: Yang Yang, Michigan State University

Title: Acoustic Source and Sound Speed Imaging with Application to Photoacoustic Tomography: A Numerical Study

Abstract: We present numerical algorithms to image passive acoustic sources (resp., sound speed) in the absence of sound speed (resp., source) information. The measurement is the boundary wave field and its spatial derivatives. The algorithms are validated with numerical examples. An application scenario is Photoacoustic Tomography, a multi-wave imaging modality where acoustic sources in unknown biological tissue are to be imaged.

The presentation is based on joint work with G. Huang, J. Qian, S. Qin, R. Wang.

**DMS Applied and Computational Math**

Feb 24, 2023 02:00 PM

328 Parker Hall

Speaker: **Professor** **Alejandro Aceves**, Southern Methodist University

**DMS Applied and Computational Math Seminar**

Jan 13, 2023 02:00 PM

328 Parker Hall

**Dohyun Kwon**, University of Wisconsin-Madison

**DMS Applied and Computational Mathematics Seminar**

Dec 02, 2022 02:00 PM

328 Parker Hall

**Dr.**

**Tuoc Phan**, University of Tennessee Knoxville

**Selim Sukhtaiev**

**DMS Applied and Computational Mathematics Seminar**

Nov 18, 2022 02:00 PM

328 Parker Hall and ZOOM

Speaker: **Tan Bui-Thanh**, University of Texas at Austin

*Short bio:*Tan Bui-Thanh is an associate professor, and the endowed William J Murray Jr. Fellow in Engineering No. 4, of the Oden Institute for Computational Engineering & Sciences, and the Department of Aerospace Engineering & Engineering mechanics at the University of Texas at Austin. Bui-Thanh obtained his PhD from the Massachusetts Institute of Technology in 2007, Master of Sciences from the Singapore MIT-Alliance in 2003, and Bachelor of Engineering from the Ho Chi Minh City University of Technology (DHBK) in 2001. He has decades of experience and expertise on multidisciplinary research across the boundaries of different branches of computational science, engineering, and mathematics. Bui-Thanh is currently a Co-director of the Center for Scientific Machine Learning at the Oden Institute. He is a former elected vice president of the SIAM Texas-Louisiana Section, and currently the elected secretary of the SIAM SIAG/CSE. Bui-Thanh was an NSF (OAC/DMS) early CAREER recipient, the Oden Institute distinguished research award, and a two-time winner of the Moncrief Faculty Challenging award.

**DMS Applied and Computational Mathematics Seminar**

Nov 11, 2022 02:00 PM

328 Parker Hall

Speaker: **Susmitha Sadhu**, Georgia College & State University

Title: A novel mechanism for detecting early warning signals of dramatic population changes and predicting a regime shift in a predator-prey model.

*singular Hopf bifurcation*, chaotic

*mixed-mode oscillations*(MMOs), featuring concatenation of small and large-amplitude oscillations, are observed as long transients before the system approaches its asymptotic state and experiences a regime shift. To analyze the dynamical cause that initiates a large amplitude oscillation, the model is reduced to a suitable normal form near the singular-Hopf point. Exploiting the separation of timescales and properties of the solutions of the normal form, the transient dynamics are analyzed. The analysis yields a method for detecting the initiation of a large amplitude oscillation and predicting the onset of a transition to the asymptotic state.

**DMS Applied and Computational Mathematics Seminar**

Nov 04, 2022 02:00 PM

ZOOM

Speaker: **Rongjie Lai**, Rensselaer Polytechnic Institute

**DMS Applied and Computational Mathematics Seminar**

Oct 28, 2022 02:00 PM

328 Parker Hall

**Dr. Paul Zhang**, Auburn University

**DMS Applied and Computational Mathematics Seminar**

Oct 24, 2022 03:00 PM

ZOOM

Speaker: **Dr. Christopher Strickland**, University of Tennessee

Abstract: Opioid use disorder has been a national health crisis in recent years, with high economic costs and opioid involvement in over 70% of all drug overdose deaths in 2019. Widespread opioid use has its roots in prescription medication – a fact which greatly increases the population’s exposure and mathematically suggests non-contact-based routes of addiction. In this talk, I will describe two recent mathematical models for opioid use disorder and treatment, including dynamics involving heroin and fentanyl in the context of data for the state of Tennessee. I will also show how these models, as well as population models for alcohol use disorder, exhibit fundamentally different dynamics from infectious disease models and therefore require a different approach to analysis. Finally, I will present an agent-based, social-network approach we are working on that complements our population-level modeling and shows promise for teasing out certain micro-level, heterogeneous dynamics related to the social spread of opioid use disorder.

**DMS Applied and Computational Mathematics Seminar**

Oct 21, 2022 02:00 PM

328 Parker Hall ZOOM

Speaker: **Raymond Chu**, UCLA

Last Updated: 09/25/2015