Numerical Analysis and Scientific Computing seminar | Applied Mathematics

Winter 2025

March 18: Gennaro Coppola, TBA
Feb 25: Christina C. Christara, TBA

Fall 2024

Dec 3: Chris Eldred, Geometric mechanics and structure-preserving discretizations for models of physical systems
Nov 26: Siddhartha Mishra, Learning PDEs
Nov 12: Rajeev Jaiman (in person), Bridging Scientific Computation with Machine Learning for Fluid-Structure Interaction
Oct 29: Jenmy Zhang (in person), Probabilistic learning for model-form uncertainty quantification and digital twinning of real-world engineering systems
Oct 22: Collin Victor, Exploring the Infinite Nudging Limit in Continuous Data Assimilation
Oct 8: Gianmarco Mengaldo, Math + Explainable AI for weather and climate, with a focus on extremes
Oct 1: Di Fang, Time-dependent Hamiltonian Simulation: Quantum Algorithm and Superconvergence
Sept 17: Charles Parker, Computing H2-conforming finite element approximations without having to implement C1-elements

Winter 2024

April 9: Maria Han Veiga, A novel high-order divergence-free method for ideal magnetohydrodynamics equations
March 26: Jeffrey Banks, In person (MC 5501), Added-Mass-Partitioned Solvers: Robust and Accurate Computational Methods for Fluid Structure Interaction
March 12: Emmanuel Franck, Enhanced Discontinuous Galerkin schemes by neural networks
February 27: Nat Trask, Structure preserving data-driven models via exterior calculus
February 13: Houman Owhadi, Computational Hypergraph Discovery, a Gaussian Process framework for connecting the dots
January 30: Catherine Schuman, Neuromorphic Computing from the Computer Science Perspective: Algorithms and Applications
January 23: Dr. Jon Krohn, Generative A.I. with Large Language Models
January 16: Panagiotis Tsoutsanis, Evolution of High-Resolution Methods for Compressible Flows on Unstructured Meshes
January 9: Adi Ditkowski, Block Finite Difference Schemes and Their Relations to Discontinuous Galerkin Methods

Fall 2023

November 28: Vincent Perrier, Link between the low Mach number limit and the long time limit of the wave system: continuous and discrete aspects
November 21: Hrushikesh Mhaskar, Theory of machine learning revisited
November 14: Adriano Festa, In person (MC 5501), A semi-Lagrangian scheme for Hamilton-Jacobi equations on networks and its application to vehicular traffic models
November 7: Frank Gaitan, Solving systems of nonlinear partial differential equations through quantum computing
October 31: N. Sukumar, Exact Imposition of Boundary Conditions in Physics-Informed Neural Networks to Solve PDEs
October 17: Diane Guignard, In person (MC 5501), Discontinuous Galerkin method for large deformations of plates
October 3: Suchuan Dong, Can Neural Network-Based Methods Out-compete Traditional Numerical Techniques for Computational PDEs?
September 12: Rima Alaifari, Aspects of stability and uniqueness in deep learning algorithms

Spring 2023

August 15: Raymond Spiteri, In person (MC 5417), Fractional-Step Methods: Theory and Practice
August 1: Dante Kalise, In person (MC 5417), Data-driven schemes for Hamilton-Jacobi-Bellman equations
June 27: Oliver Krzysik, In person (MC 6460), Parallel multigrid-in-time for hyperbolic PDEs
June 13: David I. Ketcheson, Efficient PDE time discretizations that enforce conservation or dissipation properties
June 6: Mária Lukácová-Medvidová, Dissipative solutions of compressible fluid flows
May 16: Lucian Ivan, Progress in the Polydisperse Gaussian-Moment Model for Disperse Multiphase Flows

Winter 2023

April 25: Elisabeth Larrson, Meshfree methods for modeling the human respiratory system
April 11: Volker John, On recent topics in the finite element analysis of convection-diffusion problems
March 28: Esteban Ferrer, New avenues in high order fluid dynamics
March 21: Philipp Öffner, Function Space Summation by Parts Operators and their Applications in Numerical Schemes
March 14: Claus-Dieter Munz, Simulation of compressible two-phase flow with high resolution
March 7: Christiane Helzel, The Active Flux Method for Hyperbolic Conservation Laws
February 14: Florent Renac, Invariant domain preserving discontinuous spectral approximations of hyperbolic systems of conservation laws
February 7: Matthew Zahr, Simulation of shock-dominated flows using high-order implicit shock tracking
January 31: Catherine Mavriplis, in person (MC 5417), h-p Adaptive High Order Methods and Direct Numerical Simulation of Transitioning Flows
January 17: Robert M. Corless, in person (MC 5417), Elliptic cross sections in blood flow regulation

Fall 2022

December 6: Luis Lehner, in person (MC 5417), Numerical Relativity, overview and its future challenges
November 29: Elizabeth Qian, Reduced operator inference for nonlinear PDEs
November 22: Xiangxiong Zhang, Recent Progress on Q^k Spectral Element Method: Accuracy, Monotonicity and Applications
November 15: Michael Schlottke-Lakemper, Collaborative high-performance computing with Julia
November 8: Krzysztof Fidkowski, Adjoint-based Adaptation and Optimization of Unsteady Turbulent Flows using Dynamic Closures
November 1: Traian Iliescu, Reduced Order Models for Turbulent Flows
October 25: Nicholas Kevlahan, in person (MC 5417), Two problems in data assimilation for the shallow water equations
October 18: Karthik Duraisamy, in person (MC 5417), Predictive Reduced Order Models for Multi-scale, Multi-physics Problems
October 4: Lennaert van Veen, in person (MC 5417), A non-local PDE model for animal aggregation
September 27: Carol Woodward, The SUNDIALS Suite of Time Integrators and Nonlinear Solvers: Its Capabilities, Design, and Role in Ushering New Methods Into Scientific Applications
September 20: Gregor Gassner, On Compatible Legendre-Gauss-Lobatto Subcell Low Order Finite Volume Methods (and what we can do with it)

Spring 2022

July 7: Ayaboe Edoh, Split Forms for Discrete Secondary Preservations of the Navier-Stokes Equations
June 28: Masayuki Yano, Towards rapid and reliable solution of parametrized PDEs: model reduction with applications to aerodynamics
June 21: Helen C. Yee, Recent Advancement of Entropy Split Methods for Compressible Gas Dynamics and MHD
May 31: David Williams, Current Challenges for Space-Time Finite Element Methods
May 24: Sofia Eriksson, Inverses and pseudoinverses of SBP-SAT finite difference operators
May 19: Jan S. Hesthaven, Structure preserving reduced order models
May 17: Giovanni Russo, Asymptotic preserving schemes for hyperbolic systems with relaxation

Winter 2022

March 29: Rémi Abgrall, Two cases of schemes that use a non conservative version of a conservative system: the Euler equations
March 22: Sigrun Ortleb, Numerical simulation of shallow water flows subject to wetting and drying by discontinuous Galerkin methods
March 15: Alina Chertock, Structure Preserving Numerical Methods for Hyperbolic Systems of Conservation and Balance Laws
March 8: Jean-Luc Guermond, Invariant domain preserving explicit and implicit-explicit Runge Kutta techniques for systems of conservation equation
March 1: David A. Kopriva, On the Foundations of Overset Grid Methods
February 15: Kenneth Duru, On the stability of the perfectly matched layer (PML) for propagating waves in SBP and DG methods
February 8: Nail Yamaleev, High-order Positivity-Preserving Entropy Stable Spectral Collocation Schemes for the 3-D Navier-Stokes Equations
February 1: Tommaso Buvoli, Novel Time Integration Methods for Solving Stiff Systems
January 25: Chen Greif, On the iterative solution of block-structured sparse linear systems
January 18: Romit Maulik, Reduced-order modeling of high-dimensional systems using scientific machine learning

Fall 2021

December 14: Jacob Schroder, Parallel-in-Time with Multigrid: Method, Theory, and Applications
Novemeber 30: Gunilla Kreiss, Stability and Accuracy for initial-boundary value problems, revisited
November 23: David Shirokoff, Implicit-Explicit (IMEX) Stability and Applications to the Dispersive Shallow Water Equations
November 16: Hessam Babaee, On-the-fly Reduced Order Modeling with Time Dependent Subspaces
November 9: Jennifer Ryan, Designing effective, efficient, and flexible convolution kernels
November 2: Sigal Gottlieb, High Order Unconditionally Strong Stability Preserving Multi-Derivative Implicit and Imex Runge–Kutta Methods with Asymptotic Preserving Properties
October 26: Dmitri Kuzmin, Flux-limiting approaches to enforcing discrete maximum principles and entropy stability in finite element schemes
October 19: Magnus Svärd, An alternative model for viscous and compressible flows

Winter 2014

March 13: David Kopriva, Accurate Computation of Wave Scattering in Discontinuous Media with a Discontinuous Galerkin Spectral Element Method (AM Colloquium)
January 27: Yau Shu Wong, Efficient and Accurate Numerical Solutions for Helmholtz Equation at Large Wave Numbers (AM Seminar)

Fall 2013

November 4: Kees Vuik, Fast and robust iterative solvers for the Helmholtz equation (CM Colloquium)
October 2: Bernardo Cockburn, The HDG methods for partial differential equations (CM Colloquium)
September 19: Irad Yavneh, A Multilevel Algorithm for L_1 Minimization with Application to Sparse Representation of Signals (AM Colloquium)

Winter 2013

April 5: Janelle Resch, Examining Nonlinear Wave Propagation in the Trumpet
March 8: John Lang, The Arab Spring: A simple compartmental model for the dynamics of a revolution
January 25: Marty Fuhry, Discontinuous Galerkin Methods on Graphics Processing Units

(No seminars were held in Spring 2012 and Fall 2012 since Prof. De Sterck and Prof. Krivodonova were on leave.)

Winter 2012

April 2: Ruibin Qin, A Discontinuous Galerkin Method for Hyperbolic Problems on Cartesian Grids with Embedded Geometries
March 12: Yasunori Aoki, Global Approximation of Singular Capillary Surfaces: Asymptotic Analysis meets Numerical Analysis
Jan 23: Dale Connor, Discontinuous Galerkin Method for Advanced Electrodynamics