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John HarlimDepartments of Mathematics and Meteorology, Penn State UniversityManifold learning based computational methodsRecent success of machine learning has drawn tremendous interests in applied mathematics and scientific computations. In this

Matthew Norman, Oak Ridge National LaboratoryFluids algorithms from a High Performance Computing PerspectiveNumerical approximations to Partial Differential Equations have provided diverse benefits to society over the years. Their applications in

Jennifer RyanDepartment of Applied Mathematics and Statistics, Colorado School of MinesSuperconvergence Extraction: How to do it? When is it applicable?Many numerical simulations produce data that contains hidden information. This hidden information

Henry AdamsDepartment of Mathematics, Colorado State UniversityAn introduction to applied topology This talk is an introduction to computational topology, as applied to data analysis and to sensor networks. The shape of a dataset often reflects

Adrianna GillmanDepartment of Applied Mathematics, University of Colorado 51´«Ã½An efficient and high order accurate direct solution technique for variable coefficient elliptic partial differential equations For many applications in

Convergence to the Mean Field Game Limit: A Case Study Mean field games are used as approximations to n-player games with large n. Indeed, n-player Nash equilibria are known to converge to their mean field counterpart when the latter is unique

QUBO Models in Optimization, Machine Learning, and Quantum ComputingThe Quadratic Unconstrained Binary Optimization (QUBO) model has gained prominence in recent years with the discovery that it unifies a rich variety of combinatorial optimization

Set Values for Nonzero Sum Games With Multiple EquilibriumsNonzero sum games typically have multiple Nash equilibriums (or no equilibriums), and unlike zero sum games, they may have different values at different equilibriums. While most

Cluster Synchronization in Networks with SymmetriesWe first review the master stability function (MSF) approach to synchronization of networks of coupled identical oscillators. The original formulation proposed by Pecora and Carroll applies to the

Optimal transport for seismic inversion: tackling the nonlinearity.  Full waveform inversion (FWI) is a seismic imaging method which is now part of the conventional imaging workflow in the industry. It is also used for global and regional