applied math

Applied Math Seminar at Colorado State University

Thursday 3:00-4:00PM, Weber 223

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Spring 2019

Feb 14   Feb 28   Mar 14   Mar 28   Apr 04   Apr 11   Apr 18   Apr 22   Apr 25   May 02  


 
 
 
Feb 14   Back to top

Paul Constantine

Department of Computer Science, University of Colorado Boulder

Title  Tools and techniques for subspace-based parameter reduction in computational science models

Abstract  Scientists and engineers use computer simulations to study relationships between a physical model's input parameters and its output predictions. However, thorough parameter studies - e.g., constructing response surfaces, optimizing, or averaging - are challenging, if not impossible, when the simulation is expensive and the model has several inputs. To enable parameter studies in these instances, the engineer may attempt to reduce the dimension of the model's input parameter space using techniques such as sensitivity analysis or variable screening to identify unimportant variables that can be fixed for model analysis. Generalizing classical coordinate-based reduction, there are several emerging subspace-based parameter reduction tools, such as active subspace and sufficient dimension reduction, that identify important directions in the input parameter space with respect to a particular model output. I will motivate and provide an overview of subspace-based parameter reduction techniques and discuss strategies for exploiting such low-dimensional structures - including analysis and computation - to enable otherwise infeasible parameter studies. For more information, see activesubspaces.org  
 
 
Feb 28   Back to top

Zack Kilpatrick

Department of Applied Mathematics, University of Colorado Boulder

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Mar 14   Back to top

Greg Fesshauer

Department of Applied Mathematics and Statistics, Colorado School of Mines

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Mar 28   Back to top

Jinbo Xu

Toyota Technological Institute at Chicago, and University of Chicago

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Apr 04   Back to top

Runchang Lin

Department of Mathematics and Physics, Texas A&M International University

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Apr 11   Back to top

Varis Carey

Department of Mathematics and Statistics Sciences, University of Colorado Denver

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Apr 18   Back to top

Varun Gupta

Pacific Northwest National Laboratory

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Apr 22   Back to top

Xiu Ye

Department of Mathematics and Statistics, University of Arkansas at Little Rock

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Apr 25   Back to top

Mark Hoefer

Department of Applied Mathematics, University of Colorado Boulder

Title  Dispersive hydrodynamics: the mathematics and physics of nonlinear waves in dispersive media

Abstract  Dispersive hydrodynamics - modeled by hyperbolic conservation laws with dispersive perturbation - has emerged as a unified mathematical framework for the description of multiscale nonlinear wave phenomena in dispersive media and accurately describes a plethora of physical systems. This talk will be a tour through some recent mathematical and physical results in this growing field of research. Parallels and analogies to classical hydrodynamics will be presented such as the generation of shock waves subject to appropriate regularization and their description in terms of characteristics. From the existence of expansion shocks to the generation of viscous shock waves in a conservative medium, dispersive regularization also leads to a number of counterintuitive, effects, which will also be described.  
 
 
May 02   Back to top

Jared Bronski

Department of Mathematics, University of Illinois Urbana-Champaign

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