Monday, May 15, 2023 4pm to 5pm
About this Event
Baskin Engineering 1156 High Street, Santa Cruz, California 95064
Presenter: Mayya Tokman, Professor of Applied Mathematics, School of Natural Sciences, UC Merced
Description: In recent decades, exponential integration has gained traction as an alternative to implicit methods for solving large-scale stiff systems of differential equations. For problems where an efficient preconditioner is difficult to construct or not available, exponential schemes can offer significant computational advantages compared to other state-of-the-art algorithms. In order to access the full computational benefits of the exponential approach, however, it is essential to use exponential integration for the appropriate forcing terms of the system being solved and to optimize the evaluations of exponential-like functions of large matrices. In this talk, Mayya Tokman will discuss the advantages of exponential integration, present different classes of exponential methods, and describe various ways in which exponential approach can be used in applications. She will explain how an exponential integrator must be constructed and implemented to achieve desired efficiency and accuracy. Performance of fully and partially exponential integrators will be demonstrated on problems from several fields such as computer graphics, weather forecasting and plasma physics.
Bio: Professor Mayya Tokman's research is focused on building mathematical models of physical phenomena and developing efficient numerical methods for problems in science and engineering. In particular, she has been developing numerical techniques, which allow fast integration of large nonlinear systems of differential equations with widely varying temporal scales. Professor Tokman has worked on modeling large scale behavior of astrophysical and laboratory plasmas, including evolution of coronal loops in the solar atmosphere and plasma configurations arising in fusion related experiments. Her research interests also include computational biology, in particular, modeling experimental manipulations of biomolecular structure of living cells.
Hosted By: Marcella Gomez
Join us in person or on Zoom: https://ucsc.zoom.us/j/97598034090?pwd=c2N6K1hPRGp3YTkyNVhjMVVVc0grZz09
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