Doc-Course:
“PDE’s: Theoretical and Numerical Analysis
and Control”

September 28th - November 27th, 2026, University of Seville, Spain

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The Doc-Course “PDEs: Theoretical and Numerical Analysis and Control", will take place from September 28th - November 27th, 2026, at the Institute of Mathematics of the University of Seville, Spain.

The main goal of this Doc-Course is to promote an interaction between researchers and students in the fields of theoretical and numerical analysis of PDE’s, their applications and the related control and inverse problems.

It will consist of three main parts:

  • Teaching/Training Period (4 weeks) Students will have to follow three specific 12-hour courses given by specialists, with the following contents:
    • C1: Background on functional analysis and elementary ODE and PDE theory. Linear stationary and time-dependent PDEs. Some nonlinear PDEs. Further results and applications.
    • C2: Numerical analysis of PDEs. Finite elements and other numerical methods. The numerical solution of some nonlinear PDEs. Numerical simulation and computational aspects. Additional results and applications to problems from other sciences and engineering.
    • C3: Control problems for systems governed by PDEs: optimal control and controllability. Inverse problems for PDEs: uniqueness, stability and reconstruction. Numerical resolution. Additional results, practical aspects and applications.
    Within these courses, a final work will be proposed to the students.

  • Starting Research Period (4 weeks) Students will have to work on the proposed research tasks under the supervision of assigned tutors and will prepare a written research manuscript.

  • Final Presentation Period (1 week) Students will give public oral presentations of their research work.
    Several international specialists will participate as lecturers during the first period and as advisors during the research stage.

All updates and relevant information about the Doc-Course will be posted on this official website.

For questions and additional information, please contact: acti2-imus@us.es

Course coordinators: :

We look forward to welcoming you to Seville!

Program

To be published

To be defined

To be defined

To be defined

Documents

Here some documents releted to the courses will appear


Practical Information

Accommodation

Students will be accommodated in university residences managed by the organization. Details will be provided.


How to arrive

Sevilla is easy to reach from the main Spanish cities. Sevilla has an international airport (Sevilla-San Pablo Airport) and a main train station (Sevilla-Santa Justa) with a fast-track railway connecting Sevilla with Madrid as well as many other important cities in Spain.
  • Airport: Sevilla-San Pablo Airport is about 10 km far from the city center. The most convenient ways to get to Sevilla is either by bus or by taxi.
    • By bus: One way trip is 4,00 Euros.
    • By taxi: You can see the fares here.
  • Train: Sevilla has good rail links to Barcelona, Cádiz, Córdoba, Jaén, Jerez de la Frontera, Granada, Huelva, Madrid, and Málaga. The fast–track AVE railway line provides a 2h 30min connection to Madrid every hour. For more information you can go to the train company website: https://www.renfe.com.
    Sevilla–Santa Justa train station is connected to the city center by local bus lines C1, C2 and 32. Red painted city buses are the predominant public transportation. Information about bus lines at Transportes Urbanos de Sevilla (TUSSAM): 955 479 000 or at their web page https://www.tussam.es/. You can get a map here.
  • Intercity buses: There are two bus stations with bus services to most of the main cities in Spain:
    • Prado de San Sebastián bus station : 954 417 111.
    • Plaza de Armas bus station. : 954 908 040.
    The cheapest way to get from Madrid to Sevilla is by intercity bus Socibus. For more info visit https://www.socibus.es/.
  • Local Buses: Red painted city buses are the predominant public transportation. Information about bus lines (and tramway line) at Transportes Urbanos de Sevilla (TUSSAM): 955 479 000 or at their web page https://www.tussam.es/.
    You can get a one trip ticket (1,40 Euros) directly from the driver (from the machines in the tramway shelters) but it is cheaper if you buy a rechargeable travel card (they can be bought at most magazine stores you find in sidewalks all around the city):
    • 6,40+1,50€ for the one–trip travel card (called "tarjeta sin trasbordo").
    • 7,00+1,50 Euros for the multiple–connections travel card (called "tarjeta con trasbordo").
    There are also tourist travel cards for one day (5,00 €) and for three days (10,50 €). For a map of the city with the local buses lines here.
  • Taxi: A usual taxi fare from north to south of the city center is around 8 Euros:
    • Radio–Taxi Giralda: 954 675 555.
    • Radio–Taxi: 954 580 000.
    • Tele–Taxi: 954 622 222.


Dates and deadlines

  • Call for applications: January 12 – February 27, 2026
  • Definitive announcement: April 13, 2026
  • Doc-Course dates: September 28 – November 27, 2026

Organizing committee

Diego Araujo de Souza

Diego Araujo de Souza

Anna Doubova

Anna Doubova

Enrique Fernández-Cara

Enrique Fernández-Cara (chair)

Silvia Sastre-Gómez

Silvia Sastre-Gómez

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Registration

Open from January 20th to February 27th, 2026

In order to register, you must fill out the Pre-registration form from January 20th to February 27th, 2026.

The Doc-Course will be opened to 25 students. Lodging and living expenses will be covered during the whole period. The selection will be made on the basis of academic curricula.

Before March 31st, 2026 you will receive an e-mail message informing about acceptation with indication on the steps to follow.

Registration fees (for selected students): 300 €

Venue

Location info

Seville, Spain

Institute of Mathematics of the University of Seville (IMUS)

Celestino Mutis building, first floor

Campus de Reina Mercedes

The event will take place at the main lecture hall in the ground floor

Sponsors

With the support of