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Mathematics Colloquium

From March 15, 2017 16:00 until March 15, 2017 17:00

At 800 N. State College Blvd , 92834 , Fullerton , California , United States

Posted by Renee Bennett

Categories: Colloquia

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Jorge Balbas (CSU Northride and UC Los Angeles) - Central Schemes for Non-Linear PDE:  Implementation, Applications, and Visualization

ABSTRACT:

Nonlinear PDEs are widely used for modeling physical phenomena and to formulate and solve problems in image processing, finance, or traffic flow. The solutions of these models, however, are characterized by steep gradients that often lead to the onset and propagation of discontinuities. Numerical methods based on central differencing offer an efficient black-box approach for detecting and evolving these discontinuous solutions and are relatively simple to implement. This talk will present an overview of central schemes for nonlinear PDEs along with several examples of fluid simulations that demonstrate the versatility and adaptability of this approach.