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Dr. Ioannis Dassios

Biography

I studied Mathematics and completed a two-year MSc in Applied Mathematics & Numerical Analysis at the Department of Mathematics, University of Athens, Greece with grade ''Excellent'' highest mark in the Greek system.

As a MSc student I received a travel grant to visit the Department of Mathematics at the University of North Texas, USA. There I studied a partial differential equation's geometric evolution problem of networks of triple junctions in planar domains and wrote my MSc dissertation.

In July 2012 I received my PhD in Applied Mathematics from the Department of Mathematics, University of Athens, Greece, focusing on singular discrete time control systems and their applications.

Since then, I worked for fifteen months as a Post-Doctoral Research & Teaching Fellow in Optimization at the School of Mathematics, University of Edinburgh, UK. There, I worked on second order methods for compressed sensing problems with coherent and redundant dictionaries and on singular systems of fractional nabla difference equations.

In addition, I worked for six months as a Post-Doctoral Research Associate at the Modelling and Simulation Centre, School of Mechanical, Aerospace and Civil Engineering, University of Manchester, UK. There I worked on the theoretical development and computational implementation in the non-linear mechanics of discrete systems representing materials microstructures. I focused on methods for steel microstructure to lattice mapping and plasticity formulation for lattice.

Currently, my main research duties are to plan and manage my own research activity in Applied Mathematics in collaboration with internal and external researchers and to be responsible for liaising between MACSI and its engineering partners at ERC, University College Dublin within the Strategic Research Cluster ''Sustainable Electrical Energy Systems''. I am funded through the SEES Cluster, supported by Science Foundation Ireland under Grant Number SFI/09/SRC/E1780.

My current research interests include singular systems, fractional calculus, optimization methods, networks, differential & difference equations with applications in mechanics, power systems and economic modeling.

https://ioannisdassios.wordpress.com

https://www.researchgate.net/profile/Ioannis_Dassios

https://scholar.google.com/citations?user=t4zvXzQAAAAJ&hl=en

Keywords: Singular systems, Fractional Calculus, Optimization, Mathematical Modelling, Networks.

Teaching Interests

Analysis, Differential Equations, Matrix Analysis, Discrete Dynamical Systems, Partial Differential Equations, Complex Analysis, Numerical Analysis, Linear Algebra

Professional Activities

Employment

  • 2008 Department of Mathematics, University of Athens, Greece - Teaching Assistant, Instructor, PhD student 2008-2012
  • 2006 Institute for Higher Education, Athens, Greece - Teaching, Instructor 2006-2012
  • 2006 Ekpedefsi, Private School in Athens, Greece - Teacher 2006 (6 months)
  • 2005 University of North Texas, US - Postgrad Researcher (2005-2006, 8 months)
  • 2003 Department of Mathematics, University of Athens, Greece - MSc student in Applied Mathematics and Numerical Analysis (2003-2005)
  • School of Mathematics, University of Edinburgh - Postdoctoral Research and Teaching Fellow 2012-2014 (16 months)
  • MACSI, Department of Mathematics and Statistics, University of Limerick Ireland - Post-Doctoral Researcher
  • Modelling and Simulation Centre, The University of Manchester, United Kingdom - Post-Doctoral Research Associate 2014 (6 months)

Language

  • Greek
  • German
  • English
  • French

Publications

Peer Reviewed Journals

2016

Geometric relation between two different types of initial conditions of singular systems of fractional nabla difference equations
Dassios, I
(2016) Geometric relation between two different types of initial conditions of singular systems of fractional nabla difference equations
In Mathematical Methods In The Applied Sciences; Willey :
DOI: 10.1002/mma.3771

2016

A mathematical model for plasticity and damage: A discrete calculus formulation
Dassios, I; Jivkov, A; Abu-Muharib, A; James, P;
(2016) A mathematical model for plasticity and damage: A discrete calculus formulation
In Journal Of Computational And Applied Mathematics; Elsevier :
DOI: 10.1016/j.cam.2015.08.017

2016

Preconditioner for a Primal-Dual Newton Conjugate Gradients Method for Compressed Sensing Problems
Dassios, I; Fountoulakis, K; Gondzio, J
(2016) Preconditioner for a Primal-Dual Newton Conjugate Gradients Method for Compressed Sensing Problems
In Siam Journal On Scientific Computing; SIAM :
DOI: 10.1137/141002062
[ULIR]

2016

Analytic Loss Minimization: A Proof
Cuffe, P; Dassios, I; Keane, A
(2016) Analytic Loss Minimization: A Proof
In Ieee Transactions On Power Systems; IEEE :
DOI: 10.1109/TPWRS.2015.2479408
[ULIR]

2016

Bayesian optimal control for a non-autonomous stochastic discrete time system
Dassios, I; Szajowski, K
(2016) Bayesian optimal control for a non-autonomous stochastic discrete time system
In Applied Mathematics And Computation; Elsevier :
DOI: 10.1016/j.amc.2015.11.002

2016

A stability result for a network of two triple junctions on the plane
Boutarfa, B; Dassios, I
(2016) A stability result for a network of two triple junctions on the plane
In Mathematical Methods In The Applied Sciences; Wiley :

2016

Stability and robustness of singular systems of fractional nabla difference equations
Dassios, I
(2016) Stability and robustness of singular systems of fractional nabla difference equations
In Circuits Systems And Signal Processing; Springer :

2015

Stability of basic steady states of networks in bounded domains
Dassios, I
(2015) Stability of basic steady states of networks in bounded domains
In Computers & Mathematics With Applications; Elsevier :
DOI: 10.1016/j.camwa.2015.08.011

2015

Optimal solutions for non-consistent singular linear systems of fractional nabla difference equations
Dassios, I;
(2015) Optimal solutions for non-consistent singular linear systems of fractional nabla difference equations
In Circuits Systems And Signal Processing; Springer :
DOI: 10.1007/s00034-014-9930-2

2015

On a Boundary Value Problem of a Singular Discrete Time System with a Singular Pencil
Dassios, I
(2015) On a Boundary Value Problem of a Singular Discrete Time System with a Singular Pencil
In Dynamics Of Continuous, Discrete And Impulsive Systems; Watam :

2015

Duality of singular linear systems of fractional nabla difference equations
Dassios, I; Baleanu, D;
(2015) Duality of singular linear systems of fractional nabla difference equations
In Applied Mathematical Modelling; Elsevier :
DOI: 10.1016/j.apm.2014.12.039

2014

The classical Samuelson's model in a multi-country context under a delayed framework with interaction
Dassios, I; Zimbidis, A;
(2014) The classical Samuelson's model in a multi-country context under a delayed framework with interaction
In Dynamics Of Continuous, Discrete And Impulsive Systems; Watam :
DOI: https://ioannisdassios.wordpress.com/research-visits-talks-2/

2014

The Delay Effect in a Stochastic Multiplier–Accelerator Model
Dassios, I; Zimbidis, A; Kontzalis, C
(2014) The Delay Effect in a Stochastic Multiplier–Accelerator Model
In Journal of Economic Structures; Springer :
DOI: 10.​1186/​s40008-014-0007-y
[ULIR]

2014

On the stability of equilibrium for a reformulated foreign trade model of three countries
Dassios, I; Kalogeropoulos, G
(2014) On the stability of equilibrium for a reformulated foreign trade model of three countries
In International Journal Of Industrial Engineering-Theory Appli; Springer :
DOI: 10.1007/s40092-014-0071-9

2014

On non-homogeneous singular systems of fractional nabla difference equations
Dassios, I; Baleanu, D; Kalogeropoulos, G
(2014) On non-homogeneous singular systems of fractional nabla difference equations
In Applied Mathematics And Computation; Elsevier :
DOI: 10.1016/j.amc.2013.10.090

2013

On a singular system of fractional nabla difference equations with boundary conditions
Dassios, I; Baleanu, D
(2013) On a singular system of fractional nabla difference equations with boundary conditions
In Boundary Value Problems; Springer :
DOI: 10.1186/1687-2770-2013-148

2013

On a non-homogeneous singular linear discrete time system with a singular matrix pencil
Dassios, I; Kalogeropoulos G
(2013) On a non-homogeneous singular linear discrete time system with a singular matrix pencil
In Circuits Systems And Signal Processing; Springer :
DOI: 10.1007/s00034-012-9541-8

2013

On the relation between consistent and non consistent initial conditions of singular discrete time systems
Dassios, I; Kalogeropoulos G
(2013) On the relation between consistent and non consistent initial conditions of singular discrete time systems
In Dynamics Of Continuous, Discrete And Impulsive Systems; Watam :

2012

On stability and state feedback stabilization of singular linear matrix difference equations
Dassios, I
(2012) On stability and state feedback stabilization of singular linear matrix difference equations
In Advances In Difference Equations;
DOI: 10.1186/1687-1847-2012-75

2012

Perturbation and robust stability of autonomous singular linear matrix difference equations
Dassios, I
(2012) Perturbation and robust stability of autonomous singular linear matrix difference equations
In Applied Mathematics And Computation;
DOI: 10.1016/j.amc.2011.12.067

2012

О решениях и алгебраической двой....
Dassios, I
(2012) О решениях и алгебраической двой....
In Discrete Mathematics;
DOI: 10.4213/dm1216

2012

On Non-homogeneous Generalized Linear Discrete Time Systems
Dassios, I
(2012) On Non-homogeneous Generalized Linear Discrete Time Systems
In Circuits Systems And Signal Processing; Springer :
DOI: 10.1007/s00034-012-9400-7

2012

On solutions and algebraic duality of generalized linear discrete time systems
Dassios, I
(2012) On solutions and algebraic duality of generalized linear discrete time systems
In Discrete Applied Mathematics; De Gruyter :

2011

Solutions of Higher Order Homogeneous Linear Matrix Differential Equations for Consistent and non-Consistent initial conditions: Regular Case
Dassios, I
(2011) Solutions of Higher Order Homogeneous Linear Matrix Differential Equations for Consistent and non-Consistent initial conditions: Regular Case
In International Mathematics Research Notices;

2011

On a boundary value problem of a class of generalized linear discrete time systems
Dassios,I.
(2011) On a boundary value problem of a class of generalized linear discrete time systems
In Advances In Difference Equations; Springer :
DOI: 10.1186/1687-1847-2011-51

2011

Homogeneous linear matrix difference equations of higher order: Regular Case
Dassios, I
(2011) Homogeneous linear matrix difference equations of higher order: Regular Case
In Bulletin Des Sciences Mathematiques;

2011

Stability of triple junctions on the plane
Dassios, I
(2011) Stability of triple junctions on the plane
In Bulletin Des Sciences Mathematiques;

Other Journals

2013

On the stability of equilibrium for a foreign trade model
Dassios, I; Kontzalis, C
(2013) On the stability of equilibrium for a foreign trade model
In Modelling, Identification and Control;

2013

A stability result on a reformulated Samuelson economical model
Dassios, I; Kontzalis C; Kalogeropoulos G
(2013) A stability result on a reformulated Samuelson economical model
In Modelling, Identification and Control; Acta Press :

Published Reports

2015

On the Unity Row Summation and Real Valued Nature of the $F_{LG}$ Matrix
Dassios, I; Cuffe, I; Keane, A
(2015) On the Unity Row Summation and Real Valued Nature of the $F_{LG}$ Matrix
Institutional Repository : UL
[ULIR]

2014

A Second-Order Method for Compressed Sensing Problems with Coherent and Redundant Dictionaries
Dassios, I; Fountoulakis, K; Gondzio, J
(2014) A Second-Order Method for Compressed Sensing Problems with Coherent and Redundant Dictionaries
Technical Report : ERGO-14-007