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3-4 July 2023
Alpen-Adria-Universität Klagenfurt
Europe/Vienna timezone

Program Overview:

The 1st Alps-Adriatic Inverse Problems Summer School will be held at the Department of Mathematics of the Alpen-Adria-Universitaet Klagenfurt during July 3-4, 2023.

The aim of this Summer School is to provide scientists at an early stage of the career (PhD students, postdocs) with an introduction to some topical areas in inverse problems.

Participants might also take the opportunity to attend the subsequent 3rd Alps-Adriatic Inverse Problems Workshop (July 5-7, 2023).

The summer school will be held in person. 

Registration is free of charge but mandatory. Participants are responsible for covering their own meals, accommodation and travel costs.

Members of IPIA will be granted priority in admission.



Radu Ioan Boţ (University of Vienna)

Title: Numerical methods for convex and nonconvex optimization

Abstract: The aim of the lecture series is to present an overview of numerical methods for solving convex and nonconvex optimization problems, with possible smooth and/or nonsmooth additive terms in the objective function.

The first three lectures will be devoted to the convex setting and will address basic numerical methods, the role of the splitting paradigm when solving composite optimization problems, convergence rate estimates, and techniques to accelerate the convergence of some of the numerical algorithms. Special attention will be payed to the interplay between continuous time and discrete time methods.

In the fourth lecture we will review some of the iterative schemes with provable convergence properties for nonconvex optimization problems with structures which range from simple to complex. We will discuss the main aspects of the convergence analysis and also emphasize the role played by the Kurdyka- Lojasiewicz property in proving global convergence.

The theoretical considerations will be illustrated by various numerical experiments.


William Rundell (Texas A&M University):

Title: Inverse Problems for Fractional Partial Differential Equations

Abstract: The use of anomalous diffusion processes to model physical phenomena began some 50 years ago. From a mathematical perspective this brought in the use of fractional derivatives as key components of the resulting differential equations. Over the last decade there has been enormous interest in the study of inverse problems involving these fractional equations. One of the interesting questions is whether the inverse problem under fractional operators is more or less ill-posed than its classical counterpart. In the latter case there is the intriguing question whether the fractional model can be used as an effective regularising term for the case of integer order derivatives.
This series of talks will attempt to explore the above questions using a variety of models and differential equations of the three main types.



    Registration: May 31, 2023

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Local Organizing Committee:

  • Phuoc Truong Huynh
  • Barbara Kaltenbacher
  • Teresa Rauscher
  • Elena Resmerita
  • Anita Wachter
  • Tobias Wolf

Scientific Committee:

  • Barbara Kaltenbacher, Klagenfurt
  • Elena Resmerita, Klagenfurt


Program (overview):

All talks take place at room HS 4 (quite near the main entrance of the University) and the breaks in room Z.1.08 (right next to HS 4)


The 1st Alps-Adriatic Inverse Problems Summer School 2023 is supported by the doc.funds doctoral school:

Alpen-Adria-Universität Klagenfurt


The workshop takes place in HS 4 at the Alpen-Adria-Universitaet Klagenfurt, Austria, which is located at the beautiful lake Woerthersee. A map of the University area can be found here map .

For accomodation In walking distance to the University we recommend Pension Wachau,  Youth Hostel,  Seepark HotelHotel PlattenwirtHotel Roesch , Hotel Weidenhof and Hotel Dermuth (map). Further possibilities can be found through Klagenfurt Tourismus.

Even through the university campus is not in the city center, there are reasonable bus connections (day / night) from the city center, see  online bus schedule or here. An alternative is to go by bike, for bike rentals check nextbike, also some of the hotels offer bikes to rent.


For lunch there are several places to eat on campus, see map.

The weekly menu can be seen here: Mensa, Uniwirt, Uni Pizzeria, Bits&Bytes, Hotspot and several other places. At the campus area you also find the bakery "Wienerroither".


Travelling to Klagenfurt:

For travelling to Klagenfurt by train, see OEBB

Klagenfurt airport has direct flights from/to Cologne (eurowings, not daily!) and Vienna (Austrian Airlines).

You may also consider arriving at one of the neighboring airports, preferable Ljubljana or Graz but also Triest, Venice Marco Polo, Treviso.

From Klagenfurt Airport to the University:

Klagenfurt airport is not very well connected by public transport. There is only one bus (number 42) leaving once an hour (always at xx:56, starting from 5:56 a.m. until 6:56 p.m.). Get off at Heiligengeistplatz and change to bus number 80 (direction University) or number 60 (direction University) are line c (train main station - Heiligengeistplatz - direction University), then you get off at Universität. The bus ticket costs 2,30 Euros and can be bought on the bus. You also have the possibility for a 24-hours-ticket (EUR 5,20), a 72-hours-ticket (EUR 9,90) or a 7-day-ticket (EUR 16,-) (overview prices please see webpage Stadtwerke Mobilität ).
A taxi from the airport costs around 24 Euros.

Timetables bus: timetable bus or online timetable

Shared shuttles from neighbouring airports:

Check out GoOpti for a transfer from the neighbouring airports to your hotel in Klagenfurt.

Public transport from neighbouring airports:

Arriving at Ljubljana airport you can take a shuttle, e. g. shuttledirect or check checkmybus .

Arriving at Venice Marco Polo airport you take the ATVO bus to Mestre railway station and then the train to Klagenfurt. See and

Arriving at Treviso airport you take the ATVO or Barzi Bus to Mestre railway station and then the train to Klagenfurt. See and

Arriving at Trieste Airport you can take the train or bus (Flixbus) to Udine and change to the train to Klagenfurt, see