University of Pittsburgh

Computational Mathematics trends in science and engineering

A workshop, held at the University of Pittsburgh,
April 28-30, 2023

The problem of numerical solution of complicated, coupled systems of evolution equations arises in nearly every application of scientific and technological importance, from aerodynamics to material sciences, acoustics, climate change, groundwater transport, image processing, risk assessment and uncertainty quantification.

This workshop brings together experts from a wide range of mathematical communities to present their work in analysis, algorithmics, numerics, and computation applied to science and engineering applications.

There is no charge for attending the workshop.

Tentative Participant List


John Burkardt, William Layton, Catalin Trenchea.


The conference will be held in the Thackeray Hall, room 427.


Friday, April 28      
10:30am Welcome Coffee
10:45am Giselle Sosa Jones
A second-order, energy-stable method for three-phase flow in porous media
12:00pm-2:00pm Lunch
2:00pm Jeff Borggaard
Nonlinear Balanced Truncation: Energy Functions and Nonlinear Transformations
2:50-3:10pm Coffee
3:10 Lili Ju
Maximum bound principles and stabilized exponential time differencing schemes for conservative Allen-Cahn equations
4:00pm Yanzhao Cao
A Stochastic Optimal Interface Problem for Helmholtz Equations

Saturday, April 29       
9:30am Miroslav Stoyanov
Multidimensional Quadrature Rules for Integrals with Exotic Weights
10:15-10:20am Coffee
10:20am Yanzhi Zhang
A novel and simple spectral method for nonlocal PDEs with the fractional Laplacian
11:15am Guannan Zhang
Transferable neural network for partial differential equations
12:00pm-2:00pm Lunch
2:00 Rebecca Durst
From blood flow to airplanes: efficient models for fluid flows around structures
2:50-3:10pm Coffee
3:20pm Madeline Edwards
Sensitivities of bioconvection - a partitioned, second-order, θ-like, adaptive-time stepping method
4:10pm Hoang Tran
High-Dimensional Optimization with a Novel Nonlocal Gradient


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


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 a self-guided virtual tour of the University of Pittsburgh campus.
The Transit app, available for smart phones, is useful for moving around the city using the bus system, with an up-to-date schedule of the buses, also allowing to buy tickets online.


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

Dining Options

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


For questions please contact Catalin Trenchea.


The organizers gratefully acknowledge the help and financial support provided by The University of Pittsburgh Mathematical Research Center