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Project: Modeling-Simulation-Optimization of dis...

Master data

English

Title:

Modeling-Simulation-Optimization of discrete, continuous, and stochastic systems

Description:

Mathematical models of systems, e.g. in modern Information Technology, quite often exhibit both discrete and continuous aspects as well as their interaction. This concerns the modeling of time in dynamical systems either as a continuum or a finite/countable number of instances when observations are taken or when control acts, and strongly influences the analysis of the qualitative behavior of such systems as well as their design via continuous or combinatorial optimization methods, respectively. Moreover, robustness with respect to uncertainty caused by noise or perturbations is a crucial issue in such systems and needs skillful stochastic modeling as well as estimation, prediction and model validation. The rigorous and efficient treatment of these problems requires knowledge from a wide range of mathematical fields, namely Dynamical Systems, Statistical Data Analysis, Nonlinear and Combinatorial Optimization, Discrete Mathematics and Inverse Problems.

The DK MSO is supported by the Karl Popper Kolleg of the AAU.

Keywords:

Numerical and qualitative analysis of dynamical systems, Nonlinear and combinatorial optimization, Extremal discrete structures, Bayesian spatio-temporal prediction and design, Inverse problems

Short title:	DK Modeling-Simulation-Optimization
Period:	15.10.2014 - 31.03.2023
Contact e-mail:	barbara.kaltenbacher@aau.at
Homepage:	https://www.math.aau.at/mso/

Employees

Role

Time period

(internal)

Project leader
(Authorised Person)

15.10.2014 - 31.03.2023

(internal)

Project leader

15.10.2014 - 31.03.2023

(internal)

Project leader

15.10.2014 - 31.03.2023

(internal)

Project leader

15.10.2014 - 31.03.2023

(internal)

Project leader

15.10.2014 - 31.03.2023

(internal)

Research staff

01.01.2015 - 31.12.2017

(internal)

Research staff

21.01.2015 - 20.01.2018

(internal)

Research staff

15.10.2014 - 14.10.2017

(internal)

Research staff

06.05.2015 - 05.05.2018

(internal)

Research staff

01.03.2015 - 28.02.2018

Assignment

Organisational unit

Fakultät für Technische Wissenschaften

Categorisation

Project type	Research funding (on request / by call for proposals)
Funding type	§27
Research type	Fundamental research
Subject areas	101002 - Analysis 101027 - Dynamical systems 101011 - Graph theory 101012 - Combinatorics 101028 - Mathematical modelling 101029 - Mathematical statistics 101014 - Numerical mathematics 101016 - Optimisation 101020 - Technical mathematics 101025 - Number theory
Research Cluster	No research Research Cluster selected
Gender aspects	Genderrelevance not selected
Project focus	Science to Science (Quality indicator: I) Classification raster of the assigned organisational units: Institut für Mathematik Institut für Statistik Institut für Vernetzte und Eingebettete Systeme
working groups	No working group selected

Funding

Funding program

Cooperations

No partner organisations selected

Research activities

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Projects	No related projects
Publications	Efficient Implementation of SDP Relaxations for the Stable Set Problem Efficient Implementation of SDP Relaxations for the Stable Set Problem (2018) E. Gaar Hochschulschrift to publication Elliptic curves with isomorphic groups of points over finite field extensions Elliptic curves with isomorphic groups of points over finite field extensions (2017) C. Heuberger, M. Mazzoli Journal of number theory No Publisher selected to publication Asymptotic Analysis of Shape Parameters of Trees and Lattice Paths Asymptotic Analysis of Shape Parameters of Trees and Lattice Paths (2018) B. Hackl Hochschulschrift to publication
Events	No related events
Lectures	SDP based methods for computing the edge expansion of a graph SDP based methods for computing the edge expansion of a graph A. Wiegele, M. Siebenhofer Dortmund , Deutschland since 19.04.2023 To Lecture Growing and Cutting down Rooted Plane Trees Growing and Cutting down Rooted Plane Trees B. Hackl Österreich since 11.01.2017 To Lecture Non-commutative Digit Expansions for Arithmetic on Supersingular Elliptic Curves Non-commutative Digit Expansions for Arithmetic on Supersingular Elliptic Curves M. Mazzoli Österreich since 09.07.2015 To Lecture Integer digit expansions and their application to elliptic curve cryptography Integer digit expansions and their application to elliptic curve cryptography M. Mazzoli Österreich since 06.05.2015 To Lecture The Projective Iterated Tikhonov Method and my research stay in Brazil The Projective Iterated Tikhonov Method and my research stay in Brazil R. Boiger Österreich since 16.12.2015 To Lecture On a Reduction of Lattice Paths On a Reduction of Lattice Paths B. Hackl Österreich since 13.01.2016 To Lecture Generalised Number Systems Generalised Number Systems M. Mazzoli Österreich since 22.12.2015 To Lecture Analysis of Sequences using Transducer Automata Analysis of Sequences using Transducer Automata C. Heuberger Österreich since 06.09.2016 To Lecture Regularisation of Nonlinear Integral Operators via Trust Region Methods Regularisation of Nonlinear Integral Operators via Trust Region Methods J. Olguin Mora Österreich since 13.01.2016 To Lecture The (Monotonic) Bend Number of Certain Graph Classes and Consequences The (Monotonic) Bend Number of Certain Graph Classes and Consequences E. Gaar Österreich since 02.09.2015 To Lecture Improving the Upper Bound of the Lovasz Theta Function on the Stability Number with Exact Subgraph Constraints Improving the Upper Bound of the Lovasz Theta Function on the Stability Number with Exact Subgraph Constraints E. Gaar Österreich since 28.10.2015 To Lecture A Journey on a Lattice Path: from Quicksort to Hypergeometric Sums and back A Journey on a Lattice Path: from Quicksort to Hypergeometric Sums and back D. Krenn Österreich since 25.11.2015 To Lecture Computational Methods for Lyapunov Functions Computational Methods for Lyapunov Functions A. Ivaturi Österreich since 20.01.2016 To Lecture How to Improve an Upper Bound on the Stability Number How to Improve an Upper Bound on the Stability Number E. Gaar Österreich since 12.11.2015 To Lecture On the Dichotomy Spectrum On the Dichotomy Spectrum E. Ruß Österreich since 25.03.2015 To Lecture The Shortest Connection Game The Shortest Connection Game J. Schauer Klagenfurt , Österreich since 02.12.2015 To Lecture Computational Aspects of Hyperelliptic Curve Cryptography Computational Aspects of Hyperelliptic Curve Cryptography M. Mazzoli Österreich since 25.03.2015 To Lecture Integer Digit Expansions and their Application to (Hyper)elliptic Curves Integer Digit Expansions and their Application to (Hyper)elliptic Curves M. Mazzoli Österreich since 25.11.2015 To Lecture Modifying the Lovasz Theta Function for Obtaining Upper Bounds on the Stability Number Modifying the Lovasz Theta Function for Obtaining Upper Bounds on the Stability Number E. Gaar University of Waterloo, Kanada , Österreich since 16.11.2015 To Lecture Research Interests, Application Examples and Reduced versus All-at-once Formulations of Inverse Problems Research Interests, Application Examples and Reduced versus All-at-once Formulations of Inverse Problems B. Kaltenbacher Österreich since 29.04.2015 To Lecture SDP Relaxations and Computation of the Cheeger Constant of a Graph SDP Relaxations and Computation of the Cheeger Constant of a Graph M. Siebenhofer, A. Wiegele, A. Gupte since 16.06.2023 To Lecture Semidefinite Relaxations for the Cutwidth Minimization Problem Semidefinite Relaxations for the Cutwidth Minimization Problem D. Puges since 10.05.2023 To Lecture Factorizations of powers of irreducible integer-valued polynomials Factorizations of powers of irreducible integer-valued polynomials R. Rissner since 22.02.2024 To Lecture Approximation and optimality for jump-diffusion SDEs with discontinuous drift Approximation and optimality for jump-diffusion SDEs with discontinuous drift V. Schwarz since 21.09.2023 To Lecture Comparison of solution approaches for the propagation of Quality requirements of steering gears Comparison of solution approaches for the propagation of Quality requirements of steering gears P. Armbrust since 20.05.2020 To Lecture A Modified Bundle Method for SDP with Exact Sub-graph Constraints A Modified Bundle Method for SDP with Exact Sub-graph Constraints E. Gaar since 06.09.2017 To Lecture Analysis of Sequences using Transducer Automata Analysis of Sequences using Transducer Automata C. Heuberger since 29.11.2017 To Lecture Graph Partition Applied to the Bandwidth and Separator Problem Graph Partition Applied to the Bandwidth and Separator Problem F. Rendl since 20.05.2015 To Lecture Semidefinite Optimization and the Densest k-Subgraph Problem Semidefinite Optimization and the Densest k-Subgraph Problem A. Wiegele since 22.04.2015 To Lecture Topological Linearization and Beyond Topological Linearization and Beyond C. Pötzsche since 13.05.2015 To Lecture Asymptotics, Counting, Cryptography, Digits, Trees Asymptotics, Counting, Cryptography, Digits, Trees C. Heuberger since 13.05.2015 To Lecture Asymptotic Analysis of Lattice Paths and Related Structures Asymptotic Analysis of Lattice Paths and Related Structures B. Hackl since 24.06.2015 To Lecture Selected Topics of Regularization Theory Selected Topics of Regularization Theory E. Resmerita since 10.06.2015 To Lecture An active set strategy for nonlinear programming problems with simple constraints An active set strategy for nonlinear programming problems with simple constraints M. De Santis since 16.03.2016 To Lecture Solving an on-line Vehicle Routing Problem for one of the world’s largest grocery retailers Solving an on-line Vehicle Routing Problem for one of the world’s largest grocery retailers P. Hungerländer since 18.05.2016 To Lecture