University of Pittsburgh
Time Filters and Predictive Accuracy

May 29-30, 2019

The problem of numerical solution of complicated, coupled systems of evolution equations arises in nearly every application of scientific and technological importance and has spurred the development of much of modern numerical analysis. This has proven to be an area where appetite for better algorithms and greater computational resources expands to match both. Current practice often involves using either splitting methods or different time discretizations for different terms representing different physical effects, considered herein. The resulting implicit-explicit (IMEX) combinations of methods are beyond the powerful theory of linear multistep methods and must be analyzed method by method until a systematic theory develops. These combinations lead to new computational artifacts for which novel time filters and stabilizations have developed. The workshop aims to promote the direct interaction between experts from different communities, link rigorous numerical analysis and analysis of PDEs with current problems of impact.


William Layton and Catalin Trenchea

Tentative guest Speakers


The location of the conference will be the Frick Fine Arts Building, in the Frick Fine Arts Auditorium. The schedule is given below.
View the event poster here.


Wednesday, May 29      
8:45-9:00am Coffee
9:00-9:10am Welcome
9:10-10:10am Paul D. Williams
Time filters in weather and climate models
10:10-10:30am Coffee
10:30-11:30am Adrian T. Hill
Digital filters for the leap-frog method
11:30-12:00 Victor DeCaria
Time filters yield variable stepsize, variable order algorithms
12:00pm-2:00pm Lunch
2:00-3:00pm Peter Minev
High-order artificial compressibility for the incompressible Navier-Stokes equations
3:00-3:30pm Coffee
3:30-4:00pm Michael McLaughlin
Time Adaptive Artificial Compression Methods
4:00-5:00pm Thomas Bewley
New low-storage IMEXRK schemes for the numerical simulation of high-dimensional stiff ODEs derived from diffusive PDE systems

Thursday, May 30       
9:00-9:10am Coffee
9:10-10:10am Traian Iliescu
Data-Driven Correction for Reduced Order Modeling of Nonlinear Systems
10:10-10:30am Coffee
10:30am-11:15pm Alessandro Colombo
On the development of an efficient order-adaptive discontinuous Galerkin method for the simulation of chaotic flows
11:15-12:00am Nan Jiang
An ensemble algorithm for numerical approximation of stochastic Stokes-Darcy equations
12:00pm-2:00pm Lunch
2:00-3:00pm Roger Lewandowski
On the Reynolds time-averaged equations and the long-time behavior of Leray-Hopf weak solutions of the Navier-Stokes Equations
3:00-3:30pm Coffee
3:30-4:00pm Anyastassia Seboldt
A non-iterative domain decomposition method for the interaction between a fluid and a thick, hyperelastic structure
4:00-4:30pm Robert Dolan
Flux Partitioning and Reconstruction Methods for Atmosphere-Ocean Interaction
4:30-5:00pm Michael Schneier
A POD Based Artificial Compression Scheme for the Incompressible Navier-Stokes Equations

Local Information and Accommodations


A map of various landmarks on campus can be found here.


For hotel reservations, please contact Erika Carpio by email or by phone at 412-624-8361.


The Pittsburgh International Airport (PIT) is 20.5 miles away from the University of Pittsburgh (25-45 minutes driving time depending on the time of day). There are several options to get to campus from the airport. See this link for general driving directions to the University of Pittsburgh.


If you need to park on campus, you might want to park at the following garages:

Dining Options

There are several dining options throughout the Oakland area. I personally recommend Ali Babba (Middle Eastern), Peter's Pub (American), Fuel and Fuddle (American), or the Spice Island Tea House (Asian). The locations of these restarants are given in this map.


For questions please contact Catalin Trenchea or Phillip Fry.