Recent Advances in Numerical PDEs
A workshop, held at the University of Pittsburgh,
May 5-6, 2025
Due to the prevalence of PDEs in engineering, physics, biology, medicine and the social sciences, numerical solutions have become an indispensable tool in scientific exploration. Their significance lies not only in their descriptive capacity, but also their predictive power to help us understand aspects of the physical world and its complex systems.
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.
Specific topics may include:
- Structure preserving discretizations, emphasizing the enforcement of mass conservation
at the discrete level;
- Penalty and artificial compression methods;
- Partitioned and monolithic time-stepping, Structure-fluid interaction;
- Inverse Problems, Data-Driven Modeling & Scientific Computation.
There is no charge for attending the workshop.
Tentative Participant List
- Jeffrey Borggaard (Virginia Tech)
- Martina Bukač (Notre Dame)
- Yanzhao Cao (Auburn University)
- Victor DeCaria (Naval Nuclear Laboratory)
- Vince Ervin (Clemson University)
- Max Gunzburger (Florida State University)
- Hyesuk Lee (Clemson University)
- Lili Ju (University of South Carolina)
- Alexander Labovsky (Michigan Tech)
- Jiabao Nie (Notre Dame)
- Wenlong Pei (Ohio State)
- Mauro Perego (Sandia National Laboratories)
- Janet Peterson (Florida State University)
- Leo Rebholz (Clemson University)
- Maicon Ribeiro Correa (University of Campinas)
- Michael Schneier (Naval Nuclear Laboratory)
- Giselle Sosa Jones (Oakland University)
- Miroslav Stoyanov (Oak Ridge National Laboratory)
- Hoang Tran (Oak Ridge National Laboratory)
- Hans-Werner van Wyk (Auburn University)
- Noel Walkington (Carnegie Mellon)
- Guannan Zhang (Oak Ridge National Laboratory)
- Yanzhi Zhang (Missouri University of Science and Technology)
- Lizette Zietsman (Virginia Tech)
Organizers:
John Burkardt, William Layton, Catalin Trenchea.
Location
The conference will be held in the Thackeray Hall, room 427.
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