Applied Mathematics and Analysis Seminar
As part of the Duke University
Department of Mathematics, the Program in Applied Mathematics
hosts this ongoing series of seminars. The presentations cover a broad range of topics including numerical analysis, ordinary and partial differential equations, nonlinear systems, scientific computing, dynamical systems theory, mathematical biology, pattern formation, and complex physical systems.
To join the applied mathematics mailing list visit: subscribe applied-math-seminar
As a convenience, some selected seminars and presentations can be viewed live via the web. Further, we have video archives of past talks, which are also publicly available for you to view at any time.
- Wednesday, September 25, 2019, 12:00pm, 119 Physics, Applied Math And Analysis Seminar
Tingran Gao (University of Chicago)
- Wednesday, October 2, 2019, 12:00pm, 119 Physics, Applied Math And Analysis Seminar
Xiaochuan Tian (UT Austin)
- Wednesday, October 9, 2019, 12:00pm, 119 Physics, Applied Math And Analysis Seminar
Joan Bruna (NYU)
- Wednesday, October 16, 2019, 12:00pm, Physics 119, Applied Math And Analysis Seminar
Non-Convex Harmonic Parameterization
Shahar Kovalsky (Duke University)
- Surface parameterization is fundamental to computational geometry and plays an important role in various applications ranging from texturing in computer graphics to the analysis and comparison of anatomical shapes in evolutionary biology. In many cases, it is desired, or even essential, that such a parameterization is invertible. The focus of this talk is invertibility, which while desirable, often presents a challenge in the computation of parameterizations.
Remarkably, in the special case of harmonic parameterization onto a convex subset, invertibility is guaranteed by Tutte’s graph embedding and its continuous analog, the Rado-Kneser-Choquet Theorem. I will discuss our work on generalizing these results to the non-convex case and present simple geometric conditions for invertibility.
Joint work with Stefan Steinerberger, Noam Aigerman, Misha Kazhdan, Jianfeng Lu and Ingrid Daubechies.
- Wednesday, October 23, 2019, 12:00pm, Physics 119, Applied Math And Analysis Seminar
Boris Khesin (U of Toronto)
- Wednesday, October 30, 2019, 12:00pm, 119 Physics, Applied Math And Analysis Seminar
Yu-Min Chung (UNC)
- Wednesday, November 6, 2019, 12:00pm, 119 Physics, Applied Math And Analysis Seminar
Jeff Calder (University of Minnesota)
- Wednesday, November 13, 2019, 12:00pm, Physics 119, Applied Math And Analysis Seminar
Theodore Drivas (Princeton University)
- Wednesday, November 20, 2019, 12:00pm, Physics 119, Applied Math And Analysis Seminar
Katie Newhall (UNC Chapel Hill)
- Wednesday, April 1, 2020, 12:00pm, 119 Physics, Applied Math And Analysis Seminar
Prediction of random and chaotic dynamics in nonlinear optics
Amir Sagiv (Columbia)
- The prediction of interactions between nonlinear laser beams is a longstanding open problem. A traditional assumption is that these interactions are deterministic. We have shown, however, that in the nonlinear Schrodinger equation (NLS) model of laser propagation, beams lose their initial phase information in the presence of input noise. Thus, the interactions between beams become unpredictable as well. Not all is lost, however. The statistics of many interactions are predictable by a universal model.
Computationally, the universal model is efficiently solved using a novel spline-based stochastic computational method. Our algorithm efficiently estimates probability density functions (PDF) that result from differential equations with random input. This is a new and general problem in numerical uncertainty-quantification (UQ), which leads to surprising results and analysis at the intersection of probability and approximation theory.
- Wednesday, April 8, 2020, 12:00pm, 119 Physics, Applied Math And Analysis Seminar
Jongchon Kim (UBC)
All seminars take place on Mondays at 4:30 pm in Room 119 Physics Building unless otherwise noted.
Tea and refreshments are served before the seminars at 4:00 pm in Physics 101.
Past speakers in the Duke Applied Mathematics seminars
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