Spring 2025
- Jun 17: Sam Hadden, Computer Algebra for Dynamical Modeling of Planetary Systems with CELMECH
Winter 2025
- Apr 22: Per-Olof Persson, High-Order Methods on Unstructured Meshes for Fluid and Solid Mechanics
- Apr 15: Justin Sirignano, Scientific Machine Learning: Applications to PDEs and Convergence Analysis
- Apr 1: Christina C. Christara, Convergence of high-order methods on parabolic PDEs with nonsmooth initial conditions
- Mar 25: Magnus Svärd, Well-posedness and numerical stability
- Mar 18: Gennaro Coppola, Structure-preserving discretization of compressible-flow equations
- Feb 14: Tristan Montoya, An entropy-stable discontinuous spectral-element method for the spherical shallow water equations in covariant form
- Jan 21: Jan Glaublitz, Beyond polynomials: SBP operators for general function spaces
- Jan 14: Andrey Shkerin, High-Order Stochastic Symplectic Scheme for the Langevin Equation and Field Theory
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
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April 2: Ruibin Qin, A Discontinuous Galerkin Method for Hyperbolic Problems on Cartesian Grids with Embedded Geometries
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March 12: Yasunori Aoki, Global Approximation of Singular Capillary Surfaces: Asymptotic Analysis meets Numerical Analysis
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Jan 23: Dale Connor, Discontinuous Galerkin Method for Advanced Electrodynamics