Dynamic Active Subspaces Computational and mathematical models of physical systems are essential tools in modern engineering design, epidemiological analysis, and scientific exploration. Sensitivity analysis of such systems becomes computationally complex when there are many parameters in the model. Active subspaces [Constantine, 2016] identify the most important linear combinations of parameters...
Rigorous bounds on heat transport in rapidly-rotating Rayleigh Benard convection Two approaches to rigorously estimating the heat transport in rapidly-rotating Rayleigh Benard convection are presented. The first uses the 'background method' of Constantin & Doering, and the second is a novel direct analysis of a class of exact solutions of...
Event Description: David Goluskin , Mathematics Department & Center for the Study of Complex Systems, University of Michigan Bounding average quantities in dynamical systems using semidefinite programming I will discuss the task of computing bounds on average quantities in dissipative dynamical systems, including time averages in finite-dimensional systems and spatiotemporal...
Event Description: Rob Maier, Department of Mathematics, University of Arizona Legendre Functions and Spherical Harmonics with Fractional Parameters Legendre polynomials are the most familiar orthogonal polynomials, and are used in approximation theory. Their generalizations, called Legendre functions, are parametrized by an order as well as a degree, and are typically...
Event Description: Stephen Pankavich , Department of Applied Mathematics and Statistics , Colorado School of Mines Bistability and Hopf Bifurcation in a Refined Model of the Acute Stage of HIV Infection Recent clinical studies have shown that HIV disease pathogenesis can depend strongly on many factors at the time of...
Event Description: Aaron Hagerstrom, National Institute of Standards and Technology (NIST), Boulder, CO Cluster synchronization and symmetries in networks of coupled dynamical systems Synchronization is an important and prevalent phenomenon in natural and engineered systems. In addition to the widely-studied case of global synchronization, many networks also exhibit cluster synchronization:...
Event Description: Peter Wills, Department of Applied Mathematics, University of Colorado Boulder Detecting Topological Changes in Dynamic Community Networks The study of time-varying networks is of fundamental importance for computer network analytics. Dynamic networks provide models for social networks, and are used to decode functional connectivity in neuroscience and...
Event Description: Ryan Jones, Department of Applied Mathematics, University of Colorado Boulder Hopper Bands: Locust Aggregation Locust swarms cause famine and hunger in parts of Sub-Saharan Africa as they travel across croplands and eat vegetation. Current models start with biological properties of locusts and analyze the macroscopic behavior of the...
Event Description: Seminar on advanced topics in complex and dynamic systems Location Information: Main Campus - Engineering Office Tower ( View Map ) 1111 Engineering DR Boulder, CO Room: 226: Applied Math Conference Room Contact Information: Name: Ian Cunningham Phone: 303-492-4668 Email: amassist@colorado.edu
Event Description: Seminar on advanced topics in complex and dynamic systems Location Information: Main Campus - Engineering Office Tower ( View Map ) 1111 Engineering DR Boulder, CO Room: 226: Applied Math Conference Room Contact Information: Name: Ian Cunningham Phone: 303-492-4668 Email: amassist@colorado.edu
