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
- Jeffrey Borggaard (Virginia Tech, Mathematics)
- Yanzhao Cao (Auburn University, Mathematics and Statistics)
- Rebecca Durst (University of Pittsburgh)
- Madeline Edwards (University of Pittsburgh)
- Lili Ju (University of South Carolina)
- Kiera Kean (Temple University)
- Giselle Sosa Jones (Oakland University)
- Miroslav Stoyanov (Oak Ridge National Laboratory)
- Hoang Tran (Oak Ridge National Laboratory)
- Guannan Zhang (Oak Ridge National Laboratory)
- Yanzhi Zhang (Missouri University of Science and Technology)
Organizers:
John Burkardt, William Layton, Catalin Trenchea.
Location
The conference will be held in the Thackeray Hall, room 427.
Schedule |
||
|---|---|---|
| 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 |
Map
A map of various landmarks on campus can be found here.
Directions
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.- Express Shuttle Service (1-800-991-9890). A shuttle service between the airport and the downtown Pittsburgh and Oakland areas. The fare is $25 one way and $43 round trip.
- SuperShuttle (1-800-258-3826). Another shuttle service that serves the airport and the Oakland/Downtown area.
- Public Bus Transportation
with Port Authority Transit 28X Airport Flyer. The trip cost is $3.75 one way and
exact change is required. The bus runs every 30 minutes from the airport at gate #6,
and the duration of the trip is typically 50 minutes.
See the flyer
for more details.
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.
Parking
If you need to park on campus, you might want to park at the following garage:- Soldiers and Sailors (SO): The rates are 0-1 hour $4; 1-2 hours $5; 2-4 hours $7; 4-6 hours $8; 6-8 hours $10; 8-10 hours $12; Over 10 hours $14.
- All garages are listed on this map.
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.Contact:
For questions please contact Catalin Trenchea.
Acknowledgement:
The organizers gratefully acknowledge the help and financial support provided by The University of Pittsburgh Mathematical Research Center