International Conference on High Order NOnlinear Numerical Methods for Evolutionary PDE HONOM 2026
INVITED SPEAKERS
- Jérôme Droniou, University of Montpellier, France
- Pierre-Henri Maire, CEA Bordeaux, France
- Sandra May, University of Berlin, Germany
- Vincent Perrier, University of Pau, France
- Eleuterio F. Toro, University of Trento, Italy
- Christian Klingenberg, University of Würzburg, Germany
- Rémi Abgrall, University of Zurich, Switzerland
- Angelo Iollo, University of Bordeaux, France
- Pep Mulet, University of Valencia, Spain
- Lorenzo Pareschi, Heriot-Watt University, UK
- Elena Vázquez-Cendón, University of Santiago de Compostela, Spain
- Mario Ricchiuto, INRIA Bordeaux, France
- Vladimir Titarev, Computing Centre of RAS, Moscow, Russia
- Walter Boscheri, CNRS Chambéry, France
SCIENTIFIC COMMITTEE
- Rémi Abgrall, University of Zurich, Switzerland
- Michael Dumbser, University of Trento, Italy
- Claus-Dieter Munz, University of Stuttgart, Germany
- Eleuterio F. Toro, University of Trento, Italy
LOCAL ORGANIZERS
- Michael Dumbser, University of Trento, Italy
- Olindo Zanotti, University of Trento, Italy
- Ilya Peshkov, University of Trento, Italy
- Davide Ferrari, University of Trento, Italy
- Alessia Lucca, University of Trento, Italy
BACKGROUND
Many processes in science and engineering can be described by nonlinear time-dependent PDE systems. Accurate and robust numerical methods are required for their solution, since these PDE can exhibit smooth, small and large-scale features as well as discontinuities and singularities at the same time. This is evident in aeroacoustics, gas dynamics, magnetohydrodynamics (MHD), compressible turbulence and general relativity, when attempting to find solutions that may include shocks and singularities, and at the same time one needs to resolve small turbulent eddies and evolve weak signals of large characteristic wavelength over long distances and for large times on relatively coarse grids. In addition to the classical requirement of conservation, a high order of accuracy in both space and time is thus of fundamental importance to properly resolve all physical processes involved. However, since the times of Godunov, it is very well-known that high-order linear schemes generate spurious oscillations (the Gibbs phenomenon). The real challenge, therefore, still remains to construct high-order accurate and at the same time robust and stable nonlinear and non-oscillatory schemes. Significant advances have been made in this direction in the last decades, pioneered by TVD (Total Variation Diminishing) methods, ENO and WENO schemes, as well as nonlinear DG finite element methods with appropriate limiters.
THEMES OF THE CONFERENCE
Algorithm design, theoretical analysis and practical applications of numerical schemes for nonlinear hyperbolic partial differential equations (PDE) following the finite difference, finite volume or finite element approach. Potential contributors are invited to submit an abstract of no more than two pages in PDF format via email.
PREVIOUS EDITIONS
Previous editions of the HONOM conference were held in
- Trento, Italy, in the years 2005, 2007, 2011;
- Bordeaux, France 2013,
- Trento, Italy 2015,
- Stuttgart, Germany 2017,
- Madrid, Spain, 2019,
- Braga, Portugal 2022
- Chania, Greece, 2024.
VENUE AND ACCOMMODATION
The venue of the conference will be Hotel Villa Madruzzo, https://www.villamadruzzo.com, Via Ponte Alto 26, 38121 Trento (TN), Italy, which also offers accommodation. Rooms must be booked individually.
Alternatively, we suggest:
- Hotel Be Place https://hotelbeplace.com, (15 min walking distance)
- Agritur Ponte Alto, https://www.agriturpontealto.it/, (8 min walking distance)
or right in the city centre of Trento
- Grand Hotel Trento https://www.grandhoteltrento.com
- Hotel Accademia, https://www.accademiahotel.it/
- Hotel Buonconsiglio, https://www.hotelbuonconsiglio.com/
all close to the train and bus stations.
ABOUT TRENTO AND THE DOLOMITES AND TRAVEL INFO
The historical city of Trento is in the north of Italy, in the middle of the Dolomites, and is easy to reach by car or train from the north through Munich and Austria and from the south through Verona. Trento is located 150 km south of Innsbruck and 90 km north of Verona. The nearest and most convenient airport is Verona. Alternatively, we can suggest the airports of Venice, Bologna or Bergamo + train or bus. The region around Trento is of extraordinary beauty, with mountains, rivers, lakes, and all within a small radius.
IMPORTANT DEADLINES
- Abstract submission - January 20, 2026
- Acceptance notification - January 31, 2026
- Registration deadline - March 2, 2026
- Deadline for the payment of the fee - March 16, 2026
Abstracts should be sent directly to honom2026@unitn.it
There will be no extension of the deadlines. Late registration and onsite registration are not possible. Talks without payment of the fee are automatically cancelled.
CONFERENCE FEES
The full conference fee of 610 EUR includes the coffee breaks, a welcome reception, an aperitivo during the poster session, 5 light lunches and the conference dinner.
A reduced conference fee of 427 EUR includes only the coffee breaks, a welcome reception, an aperitivo during the poster session and the conference dinner, but no lunch.
For PhD students and post-docs, a special fee of 305 EUR applies. It includes the coffee breaks, a welcome reception, an aperitivo during the poster session and the conference dinner, but no lunch. A certificate of the PhD student or post-doc status is required.
Expenses for travel and subsistence are at the responsibility of each participant.
CONFERENCE VENUE
The conference will take place at Hotel Villa Madruzzo https://www.villamadruzzo.com
SCIENTIFIC INQUIRIES
Please send any scientific inquiry via email to the organisers of HONOM 2026: honom2026@unitn.it
The conference is financially supported by the University of Trento, the Fondazione Caritro, the European Commission via the Marie-Curie Grant 101206752 and by the Italian Ministry of University and Research (MUR) via the DICAM Department of Excellence 2023-2027.
The Dolomites
