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SUMMARY:1st Alps-Adriatic Inverse Problems Summer School
DTSTART;VALUE=DATE-TIME:20230703T060000Z
DTEND;VALUE=DATE-TIME:20230704T150000Z
DTSTAMP;VALUE=DATE-TIME:20230401T105806Z
UID:indico-event-202@conference2.aau.at
DESCRIPTION:Program Overview: \n\nThe 1st Alps-Adriatic Inverse Problems S
ummer School will be held at the Department of Mathematics of the Alpen-
Adria-Universitaet Klagenfurt during July 3-4\, 2023.\n\nThe aim of this S
ummer School is to provide scientists at an early stage of the career (P
hD students\, postdocs) with an introduction to some topical areas in inve
rse problems.\n\nParticipants might also take the opportunity to attend th
e subsequent 3rd Alps-Adriatic Inverse Problems Workshop (July 5-7\, 2023)
. \n\nThe summer school will be held in person. \n\n \n\nLecturers:\n\nR
adu Ioan Boţ (University of Vienna)\n\nTitle: Numerical methods for conve
x and nonconvex optimization\n\nAbstract: The aim of the lecture series i
s to present an overview of numerical methods for solving convex and nonco
nvex optimization problems\, with possible smooth and/or nonsmooth additiv
e terms in the objective function.\n\nThe first three lectures will be dev
oted to the convex setting and will address basic numerical methods\, the
role of the splitting paradigm when solving composite optimization problem
s\, convergence rate estimates\, and techniques to accelerate the converg
ence of some of the numerical algorithms. Special attention will be payed
to the interplay between continuous time and discrete time methods.\n\nIn
the fourth lecture we will review some of the iterative schemes with prova
ble convergence properties for nonconvex optimization problems with struct
ures which range from simple to complex. We will discuss the main aspects
of the convergence analysis and also emphasize the role played by the Kur
dyka- Lojasiewicz property in proving global convergence.\n\nThe theoretic
al considerations will be illustrated by various numerical experiments.\n\
n \n\nWilliam Rundell (Texas A&M University):\n\nTitle: Inverse Problems
for Fractional Partial Differential Equations\n\nAbstract: The use of an
omalous diffusion processes to model physical phenomena began some 50 year
s ago. From a mathematical perspective this brought in the use of fractio
nal derivatives as key components of the resulting differential equations.
Over the last decade there has been enormous interest in the study of in
verse problems involving these fractional equations. One of the interestin
g questions is whether the inverse problem under fractional operators is m
ore 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 derivative
s.\nThis series of talks will attempt to explore the above questions using
a variety of models and differential equations of the three main types.\n
\n \n\nDeadline:\n\n Registration: May 17\, 2023\n\n
\nLocal Organizing Committee:\n\n\n Phuoc Truong Huynh\n Barbara Kaltenbac
her\n Teresa Rauscher\n Elena Resmerita\n Anita Wachter\n Tobias Wolf\n\n\
nScientific Committee: \n\n\n Barbara Kaltenbacher\, Klagenfurt\n Elena Re
smerita\, Klagenfurt\n\n\n \n\nProgram (overview):\n\nAll talks take plac
e 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)\n\n \n\nThe 1st Alps-Adriatic
Inverse Problems Summer School 2023 is supported by the doc.funds doctora
l school:\n\n\n \n \n \n \n \n \n\n\nhttps://conference2.aau.at/even
t/202/
LOCATION:Alpen-Adria-Universität Klagenfurt
URL:https://conference2.aau.at/event/202/
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