| The Dictator Equation Vakhtang Putkaradze Mathematical and Statistical Sciences, University of Alberta |
When: 4:00 pm (Lubbock's local time is GMT -6) Where: room MATH 011 (basement) ZOOM details:
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| Recent developments on convex integration applied to surface quasi-geostrophic equations Kazuo Yamazaki Department of Mathematics and Statistics, Texas Tech University |
When: 4:00 pm (Lubbock's local time is GMT -6) Where: room MATH 011 (basement) ZOOM details:
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| Chaos in the stochastic Galerkin-Navier-Stokes equations Sam Punshon-Smith Department of Mathematics, Tulane University |
When: 4:00 pm (Lubbock's local time is GMT -6) Where: room MATH 011 (basement) ZOOM details:
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| A random selection of mathematical and computational challenges in pulsed power and plasma science Jacob Stephens Department of Electrical Engineering, Texas Tech University |
Naturally, the pulsed power community faces a number of mathematical and computational challenges. These range from molecular dynamics models of gas, electron, and ion emission from solids and dielectrics, various plasma models (fluid, particle, magnetohydrodynamic, and more), electromagnetic models, and often multi-physics combinations of these models and more. More recently, these models have been combined with modern optimization and machine learning techniques to develop next generation pulsed power systems with state-of-the-art capabilities. This talk will discuss a few of the mathematical and computational challenges in the pulsed power community.
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| Structure-preserving approximation techniques for computational fluid dynamics Eric Tovar Los Alamos National Laboratories, XCP-2 |
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| Learning Turbulence Models from Data - A Unified Perspective of Data Assimilation and Machine Learning Heng Xiao University of Stuttgart, Cluster of Excellence SimTech |
About the speaker. Dr. Heng Xiao is Professor at the University of Stuttgart, Germany. He holds a bachelor’s degree from Zhejiang University, China, a master’s degree from the Royal Institute of Technology (KTH), Sweden, and a Ph.D. degree from Princeton University, USA. From 2009 to 2012, he worked as a postdoctoral researcher at ETH Zurich, Switzerland. Between 2013 and 2022, he was a faculty member in the Department of Aerospace and Ocean Engineering at Virginia Tech. In 2013 he moved to Stuttgart to take the chaired professorship in Data-Driven Fluid Dynamics. His current research focus on turbulence modeling with data-driven methods, including data assimilation, machine learning, and uncertainty quantification..
When: 4:00 pm (Lubbock's local time is GMT -6) Where: room MATH 011 (basement) ZOOM details:
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* Meeting ID: 940 7062 3025 * Passcode: applied About the Applied Mathematics Seminar: to be notified about TTU's Applied Mathematics Seminar on a weekly basis please send e-mail to igtomas@ttu.edu
| A New Theory of Fractional Differential Calculus and Fractional Sobolev Spaces and Applications Xiaobing Feng University of Tennessee, Department of Mathematics |
About the speaker. Dr. Xiaobing Feng is a professor and the department head of the Department of Mathematics at the University of Tennessee. He obtained his Ph.D. degree from Purdue University in Computational and Applied Mathematics in 1992 under the direction of the late Professor Jim Douglas, Jr. His primary research interest is numerical solutions of deterministic and stochastic nonlinear PDEs which arise from various applications including fluid and solid mechanics, subsurface flow and poroelasticity, phase transition, forward and inverse scattering, image processing, optimal control, systems biology, and data assimilation.
When: 4:00 pm (Lubbock's local time is GMT -6) Where: room MATH 011 (basement) ZOOM details:
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| Low-rank Methods for Radiation Transport Calculations Ryan McClarren University of Notre Dame, Aerospace and Mechanical Engineering |
When: 4:00 pm (Lubbock's local time is GMT -5) Where: room MATH 011 (basement) ZOOM details:
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* Meeting ID: 940 7062 3025 * Passcode: applied About the speaker. Dr. Ryan McClarren, Associate Professor of Aerospace and Mechanical Engineering at the University of Notre Dame, has applied simulation to understand, analyze, and optimize engineering systems throughout his academic career. He has authored numerous publications in refereed journals on machine learning, uncertainty quantification, and numerical methods, as well as three scientific texts: Machine Learning for Engineers, Uncertainty Quantification and Predictive Computational Science: A Foundation for Physical Scientists, and Engineers and Computational Nuclear Engineering and Radiological Science Using Python. He was recently named Editor-in-Chief of the Journal of Computational & Theoretical Transport. A well-known member of the computational nuclear engineering community, Dr. McClarren has won research awards from NSF, DOE, and three national labs. Prior to joining Notre Dame in 2017, he was Assistant Professor of Nuclear Engineering at Texas A&M University, and previously a research scientist at Los Alamos National Laboratory in the Computational Physics and Methods group.
| Pseudo-spectral methods for incompressible flows with variable density Loic Cappanera University of Houston, Department of Mathematics |
About the speaker. In 2015, Loic Cappanera completed his PhD in Fluid Mechanics at Paris-Saclay University. Between 2016 to 2019, he worked as a postdoc at TAMU and Rice University. In 2019, he started to work in the Mathematics Department at the University of Houston as an Assistant Professor.
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| Approximate Eigenvalues via the Landscape Function in Disordered Media Shiwen Zhang University of Massachusetts Lowell, Department of Mathematics |
About the speaker. Dr. Shiwen Zhang joined the Department of Mathematics & Statistics at University of Massachusetts Lowell as an Assistant Professor in August 2022. Shiwen obtained his PhD from University of California, Irvine in 2016, under the supervision of Svetlana Jitomirskaya. From 2016 to 2022, he worked as a postdoc at Michigan State University, and then at University of Minnesota. Shiwen’s research field is analysis, including Mathematical Physics, dynamical systems, PDEs, and spectral theory of Schrödinger operators. In particular, Shiwen is interested in quantum localization in a disordered medium, dynamical and fractal properties of quasiperiodic operators. More recently, Shiwen works in collaboration with experts in numerical analysis and physicists, on problems of scientific computing of eigenvalues and eigenfunctions, arising from models in physics and semi-conductor devices.
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| Hidden symmetries in quantum mechanics revealed by the trajectory-based formulation Bill Poirier Texas Tech University, Department of Chemistry |
About the speaker. Dr. Bill Poirier is Chancellor’s Council Distinguished Research Professor and also Barnie E. Rushing Jr. Distinguished Faculty Member at Texas Tech University, in the Department of Chemistry and Biochemistry and also the Department of Physics. He received his Ph.D. in theoretical physics from the University of California, Berkeley, followed by a chemistry research associateship at the University of Chicago. His research interest is in understanding and solving the Schrödinger equation, from both foundational and practical perspectives. He has given well over 100 oral presentations on quantum mechanics, to both scientific and general audiences, and published over 100 papers in this field. He is also the creator of the continuous "many interacting worlds" interpretation of quantum mechanics.
When: 4:00 pm (Lubbock's local time is GMT -5) Where: room MATH 011 (basement) ZOOM details:
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| Development of a coupled Trefftz and finite element method for approximating Maxwell's equations Peter Monk University of Delaware, Department of Mathematics |
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| Scalable Multiphysics Block Preconditioning for Solution of Implicit Continuum Models for Challenging Plasma Physics Systems with Application to Magnetic Confinement Fusion John Shadid Sandia National Laboratories, Department of Mathematics and Statistics University of UNM |
This talk will discuss the structure of the implicit continuum fluid models that we are employing for MFC type applications. These include resistive magnetohydrodynamics (MHD), and a partially ionized multifluid electromagnetic (EM) plasma formulation. After discretization by stabilized finite element type methods the strongly coupled highly nonlinear algebraic system is achieved with a fully-coupled Newton nonlinear iterative method. The resulting large-scale sparse linear systems are iteratively solved by a GMRES Krylov method, preconditioned by approximate block factorization (ABF) and physics-based preconditioning approaches. These methods reduce the coupled multiphysics system to a set of simplified sub-systems to which scalable algebraic multilevel methods (AMG) can be applied. A critical aspect of these preconditioners is the development of approximate Schur complement operators that encode the critical cross-coupling physics of the system. To demonstrate the flexibility and performance of these methods we consider application of these techniques to various challenging prototype plasma problems. These include computational results relevant to aspects of magnetic confinement fusion applications. Results are presented on robustness, efficiency, and the parallel and algorithmic scaling of the solution methods. This work is collaborative with Jesus Bonilla, Edward Phillips, Peter Ohm, Michael Crockatt, Ignacio Tomas, Roger P. Pawlowski, R. Tuminaro, Jonathan Hu, Xinazhu-Tang, and Luis Chacon.
About the speaker. John Shadid is a Distinguished Member of the Technical Staff in the Computational Mathematics Department at Sandia National Laboratories, and has an appointment as a National Lab Professor in the Mathematics Department at the University of New Mexico. Dr. Shadid received his Ph.D. in Mechanical Engineering from the University of Minnesota in 1989. John has contributed to the areas of applied math, numerical methods, computational algorithms, and software development, for solution methods of highly-nonlinear coupled multiple-time-scale PDE systems. John was co-PI for the Aztec software library that received a 1997 R&D100 award and was one of the very first scalable parallel iterative solver libraries. He has also been lead-PI for several projects developing robust, scalable, implicit finite element reacting flow, MHD, and multifluid electromagnetic plasma system simulation capabilities in support of DOE Office of Science oriented scientific applications. In 2018, he was elected as a SIAM Fellow, and in 2019 he received the United States Association of Computational Mechanics (USACM) Thomas J.R. Hughes Medal for Computational Fluid Mechanics.
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