Recent Advances in Numerical PDEs
A workshop, held at the University of Pittsburgh,
May 15-17, 2026
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
- Husain Al-Attas (King Fahd University of Petroleum & Minerals)
- Isabel Barrio Sanchez (University of Pittsburgh)
- Astrid Berge (IDA)
- Luigi Berselli (Università di Pisa)
- Pavel Bochev (Sandia National Laboratories)
- Jeffrey Borggaard (Virginia Tech)
- Martina Bukač (Notre Dame)
- John Burkardt (University of Pittsburgh)
- Atife Çağlar (University of Houston)
- Aytekin Çıbık (Gazi Üniversitesi)
- Jeffrey Connors (University of Connecticut)
- Victor DeCaria (Naval Nuclear Laboratory)
- Qiang Du (Columbia University, Applied Physics and Applied Mathematics)
- Argus Dunca (NUST Polytechnics Bucharest)
- Vince Ervin (Clemson University)
- Rui Fang (Ohio State University)
- Faisal Fairag (King Fahd University of Petroleum and Minerals)
- Joseph Fiordilino (Naval Surface Warfare Center)
- Max Gunzburger (Florida State University)
- Gary Hart (University of Pittsburgh)
- Noel Heitmann (Millersville University)
- Peter Hoffman (University of Colorado Denver)
- Jason Howell (Carnegie Mellon)
- Nicholas Hurl (Duquesne University)
- Traian Iliescu (Virginia Tech)
- Ross Ingram (Naval Nuclear Laboratory)
- Nan Jiang (University of Florida)
- Volker John (Weierstrass Institute)
- Lili Ju (University of South Carolina)
- Kiera Kean (Temple University)
- Sarah Khankan (George Mason University)
- Michaela Kubacki (Middlebury College)
- Alexander Labovsky (Michigan Tech)
- Hyesuk Lee (Clemson University)
- Roger Lewandowski (Université de Rennes)
- Yong Li (Waymo)
- Anastasios Liakos (US Naval Academy)
- Alex Lozovskiy
- Nathaniel Mays (Epic)
- Steven McGovern
- Michael McLaughlin (Morgan Stanley)
- Amnon J. Meir (Southern Methodist University)
- Songül Kaya Merdan (Middle East Technical University)
- Marina Moraiti (University of Washington)
- Faranak Pahlevani (Penn State University)
- Ali Pakzad (California State University)
- Wenlong Pei (Ohio State)
- Janet Peterson (Florida State University)
- Leo Rebholz (Clemson University)
- Niyazi Şahin (Ankara Yıldırım Beyazıt University)
- Michael Schneier (Naval Nuclear Laboratory)
- Farjana Siddiqua (Georgia Institute of Technology)
- Iuliana Stanculescu (Nova Southeastern University)
- Adefi Sunmonu (City University of New York)
- Mike Sussman
- Aziz Takhirov (University of Sharjah)
- Hoang Tran (Oak Ridge National Laboratory)
- Noel Walkington (Carnegie Mellon)
- Zhu Wang (University of South Carolina)
- Xihui Xie
- Xin Xiong
- Shuxian Xu
- Ivan Yotov (University of Pittsburgh)
- Guannan Zhang (Oak Ridge National Laboratory)
- Haylee Zhao (Morgan Stanley)
- Lizette Zietsman (Virginia Tech)
Organizers
Traian Iliescu, Monika Neda, Michael Neilan, Leo Rebholz, Catalin Trenchea
Location
The conference will be held in the Cathedral of Learning, room G24.
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.
Local hotels
University of Pittsburgh's preferred hotels.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.