Person profile

Univ.Prof. Dipl.-Ing. Dr.techn.

Anton Arnold

Phone +43 1 58801 10181

E-Mailanton.arnold@tuwien.ac.at

Assigned

E101-01	E101-01-1

Business Card

https://orcid.org/0000-0001-9923-2888

Research area

Name	Management/Member
Research Unit of Analysis	Member

Research group

Name	Management/Member
Research Group for Mathematical Analysis	Management

Profile

Research profile (German):

Partielle Differentialgleichungen (parabolisch, hyperbolisch, Schrödinger-Typ); Modelierung und numerische Simulation von Quanten-Halbleitern, Quantenevolutionsgleichungen, offene Quantensysteme (Analysis, numerische Methoden), absorbierende und transparente Randbedingungen (Herleitung, Diskretisierung), Langzeitverhalten von parabolischen und kinetischen Gleichungen, logarithmische Sobolev-Ungleichungen, Hypokeoerzivität

Research profile (English):

Partial differential equations (parabolic, hyperbolic, Schrödinger-type); Modeling and numerical simulation of quantum semiconductors, quantum evolution equations, open quantum systems (analysis, numerical methods), absorbing and transparent boundary conditions (derivation, discretization), long-term behavior of parabolic and kinetic equations, logarithmic Sobolev inequalities, hypocoercivity

Additional information:

Publikationsliste: https://www.tuwien.at/mg/asc/arnold/forschung/publikationen

Link to CV:

https://www.tuwien.at/mg/asc/arnold

Publications:

Publications

Keywords

Keyword (German)	Keyword (English)
offene Quantensysteme	Open Quantum Systems
partielle Differentialgleichungen	partial differential equations
Quanten-Evolutionsgleichungen	Quantum evolution equations
Modellierung und numerische Simulation von Quanten-Halbleiter	Modeling and numerical simulation of semiconductor quantum
Langzeitverhalten von parabolischen und kinetischen Gleichungen	Long-term behavior of parabolic and kinetic equations
absorbierende Randbedingungen	absorbing boundary conditions
Funktional-Ungleichungen	Functional inequalities

Research Focal Areas

Research focus	Research field	Keywords	Percentage
Computational Science and Engineering	Mathematical and Algorithmic Foundations	Computational PDEs, Computational Statistics, Optimization, Systems Theory and Control, Computer Algebra, Computational Geometry, Time-dependent Problems in CSE, Computational Finance, Asymptotic and Hybrid Methods	30
Quantum Physics and Quantum Technologies	Quantum Modeling and Simulation	Mathematical modelling and analysis, numerical algorithms and simulations, ab-initio modelling, density functional theory and applications	30
Additional Fields of Research	Fundamental Mathematics Research	Theory of Partial Differential Equations, Analysis of dynamical Systems, Operator Theory, Applied Functional Analysis, Harmonic analysis, Algebra and Discete Mathematics, Logic, Discrete and Convex Geometry, Geometric Analysis, Differential Geometry, Economics (basics), Extremal Problems, Systems and Control Theory, Stochastic Processes, Mathematical Stochastics, Statistical Modeling, statistical methods for fuzzy data, Robust Statistics	40

Faculty focus

Faculty focus	Percentage
Analysis und Scientific Computing	100

Area of expertise according to Statistik Austria

Code	Area of expertise (German)	Area of expertise (English)
1104	Angewandte Mathematik	Applied mathematics
1114	Numerische Mathematik	Numerical mathematics
1103	Analysis	Analysis
1215	Quantenmechanik	Quantum mechanics

Reference Projects

Title	Funding program	Function	Website	From	Until
National, FFG - Austrian Research Promotion Agency
Dissipation und Dispersion in nichtlinearen partiellen Differentialgleichungen	structural program		http://www.asc.tuwien.ac.at/~n...	01.01.2013

TUW Award

Awarding Organization	Program	Function	Name	From	Until	Website	Project ID
TUW	andere		Best Paper Award der Fakultät für Mathematik und Geoinformation, TU Wien	01.01.2008

Membership in committee

Committee	Description	Location	Function	From-To	Comment
scientific circle	ÖMG	Austria	Member	05/2007 - 12/2022	Kommissionsmitglied für ÖMG-Studienpreis

Journal participation

Title	Classification	Referenced	Function	From-To
Communications in Mathematical Sciences	unclassified	Yes	Editorial board	01/2003 - 12/2007
Discret and continuous dynamical system - series B	SCI (Science Citation Index)	Yes	Associate Editor	09/2017 -
Kinetic and Related Models	SCIE (Science Citation Index Expanded)	Yes	Editorial board	01/2011 -

R&D Accomplishments

Description	From	Until
Other categories
Konferenz "Equadiff 07" (Wien, Österreich):Mitglied der Organisationskommittees	08/2007	08/2007
Konferenz "Mathmod 2009" (Wien, Österreich): Mitglied des Programmkommittes	02/2009	02/2009
Konferenz "Mathmod 2012" (Wien, Österreich): Mitglied des Programmkommittes	02/2012	02/2012
Organisation (gemeinsam mit Prof. S. Rjasanow) einesWorkshops in Saarbrücken, Deutschland Thema: Numerical methods for kinetic equations	02/2007	02/2007
Organisation eines Workshop (gemeinsam mit Prof. Ansgar Jüngel) inTübingen zum Thema "Multiscale problems in quantum mechancis andaveraging techniques".	02/2007	02/2007
Organisator der Sektion S10 "Partial Differential Equations" beim 17. ÖMG-Kongress - Jahrestagung der DMV (gemeinsam mit Ch. Schmeiser)	09/2009	09/2009
Organisator der Sektion S14 "Applied analysis" bei der Konferenz "GAMM 2011" (Graz), gemeinsam mit Helmut Abels (U Regensburg)	02/2011	05/2011
Organisator des Minisymposiums "Complex Particle Systems: Quantum Kinetic and Semiclassical Transport" (gemeinsam mit I.M. Gamba, M. Gualdani, C. Ringhofer) bei der SIAM Conference on Analysis of PDEs (Phoenix, USA) Vortrag zum Thema "Wigner-Fokker-Planck models: global solutions, steady states, and large-time behavior"	12/2007	12/2007
Organisator des Minisymposiums "Multiscale models for polymer transport dynamics" (gemeinsam mit T. Levièvre) bei der SIAM-Konferenz "Emerging Topics in Dynamical Systems and Partial Differential Equations" (Barcelona, Spanien)	05/2010	06/2010
Organisator des Workshops "Classical and Quantum Mechanical Models of Many-Particle Systems", Oberwolfach, Deutschland; (gemeinsam mit E. Carlen, L. Desvillettes)	12/2013	12/2013
Organisator des Workshops "Classical and Quantum Mechanical Models of Many-Particle Systems", Oberwolfach, Deutschland; (gemeinsam mit E. Carlen, L. Desvillettes)	12/2010	12/2010
Organisator des Workshops "Dissipative Systems: Entropy Methods, Classical and Quantum Probability", TU Wien, gemeinsam mit D. Bakry, F. Fagnola, A. Jüngel	11/2010	11/2010
Organisator des Workshops "Dissipative Systems: Kinetic Theory and Semiconductor Applications ", TU Wien, gemeinsam mit A. Jüngel, D. Matthes, W. Pötz, T. Yang, P. Zhang	11/2010	11/2010
Organisator des Workshops "Quantum Systems and Semiconductor Devices: Analysis,Simulations, Applications", Beijing, China (gemeinsam mit A. Jüngel, X. Liu, S. Tang, P. Zhang)	04/2009	04/2009
Organisator des Workshops "Theory and Numerics for Kinetic Equations" (Saarbrücken, Deutschland) (gemeinsam mit S. Rjasanow)	11/2009	11/2009

Events / Conferences

Category	Collaboration	Event name	From	Until	Function/Comments
Postgraduate courses / Summer School	Sonstiges		09/2006	09/2006	CIME-Sommerschule "Quantum Transport: Modelling, analysis, asymptotics", Cetraro, Italien
Postgraduate courses / Summer School	eingeladene_r Sprecher_in	7th Summer School of Methods and Modells of Kinetic Theory	06/2014	06/2014	Hauptvortragender
Postgraduate courses / Summer School	eingeladene_r Sprecher_in	Summer School (Beijing University Math Center, China)	09/2006	09/2006	Spezialsemester über "Quantum kinetic theory"
Scientific Conference / Symposium	Organisator_in	Konferenz "Mathmod 2012" (Wien, Österreich)	02/2012	02/2012	Mitglied des Programm Kommitees
Scientific Conference / Symposium	Organisator_in	Konferenz "Mathmod 2009" (Wien, Österreich)	02/2009	02/2009	Mitglied des Programmkommitees
Scientific Conference / Symposium	Organisator_in	Konferenz "Equadiff 07" (Wien, Österreich)	08/2007	08/2007	Mitglied des Programmkommitees
Scientific Conference / Symposium	Organisator_in	Workshops "Dissipative Systems: Kinetic Theory and Semiconductor Applications " (TU Wien)	11/2010	11/2010	Organisation (gemeinsam mit A. Jüngel, D. Matthes, W. Pötz, T. Yang, P. Zhang )
Scientific Conference / Symposium	Organisator_in	Workshops "Quantum Systems and Semiconductor Devices: Analysis, Simulations, Applications" (Beijing, China)	04/2009	04/2009	Organisation (gemeinsam mit A. Jüngel, X. Liu, S. Tang, P. Zhang)
Scientific Conference / Symposium	Organisator_in	Workshops "Dissipative Systems: Entropy Methods, Classical and Quantum Probability" (TU Wien)	11/2010	11/2010	Organisation (gemeinsam mit D. Bakry, F. Fagnola, A. Jüngel )
Scientific Conference / Symposium	Organisator_in	Workshop: "Classical and Quantum Mechanical Models of Many-Particle Systems"	12/2013	12/2013	Organisation (gemeinsam mit E. Carlen, L. Desvillettes)
Scientific Conference / Symposium	Organisator_in	Workshops "Classical and Quantum Mechanical Models of Many-Particle Systems", (Oberwolfach, Deutschland)	12/2010	12/2010	Organisation (gemeinsam mit E. Carlen, L. Desvillettes)
Scientific Conference / Symposium	Organisator_in	4th Workshop "Particle Systems and PDE's" (Braga, Portugal)	12/2015	12/2015	Organisation (gemeinsam mit M.C. Carvalho, P. Gonçalves, A.J. Soares, A. Vasseur)
Scientific Conference / Symposium	Organisator_in	Workshop: "Multiscale problems in quantum Mechanics and averaging techniques"	02/2007	02/2007	Organisation (gemeinsam mit Prof. Ansgar Jüngel)
Scientific Conference / Symposium	Organisator_in	Workshop: "Theory and Numerics of Kinetic Equations" (Saarbrücken, Deutschland)	06/2015	06/2015	Organisation (gemeinsam mit S. Rjasanow)
Scientific Conference / Symposium	Organisator_in	Workshop: "Theory and Numerics of Kinetic Equations" (Saarbrücken, Deutschland)	05/2013	05/2013	Organisation (gemeinsam mit S. Rjasanow)
Scientific Conference / Symposium	Organisator_in	Workshop: "Theory and Numerics of Kinetic Equations" (Saarbrücken, Deutschland)	11/2009	11/2009	Organisation (gemeinsam mit S. Rjasanow)
Scientific Conference / Symposium	Organisator_in	Workshop: "Numerical Methods for Kinetic Equations" (Saarbrücken, Deutschland)	02/2007	02/2007	Organisation (gemeinsam mit S. Rjasanow)
Scientific Conference / Symposium	Organisator_in	Workshop "Forefront of PDEs: Modelling, Analysis and Numerics" (TU Wien)	12/2016	12/2016	Organisator (gemeinsam mit A. Jüngel, G. Toscani)
Scientific Conference / Symposium	Organisator_in	Workshop "Classical and Quantum Mechanical Models of Many-Particle Systems" (Oberwolfach, Deutschland)	12/2017	12/2017	Organisator (gemeinsam mit E. Carlen, L. Desvillettes)
Scientific Conference / Symposium	Organisator_in	17. ÖMG-Kongress - Jahrestagung der DMV	09/2009	09/2009	Organisator der Sektion S10 "Partial Differential Equations" (gemeinsam mit Ch. Schmeiser)
Scientific Conference / Symposium	Organisator_in	Konferenz "GAMM 2011" (Graz),	02/2011	02/2011	Organisator der Sektion S14 "Applied analysis" (gemeinsam mit Helmut Abels)
Scientific Conference / Symposium	Organisator_in	SIAM Conference on Analysis of PDEs (Phoenix, USA)	12/2007	12/2007	Organisator des Minisymposiums "Complex Particle Systems: Quantum Kinetic and Semiclassical Transport" (gemeinsam mit I.M. Gamba, M. Gualdani, C. Ringhofer) ,Vortrag zum Thema "Wigner-Fokker-Planck models: global solutions, steady states, and large-time behavior"
Scientific Conference / Symposium	Organisator_in	SIAM-Konferenz "Emerging Topics in Dynamical Systems and Partial Differential Equations" (Barcelona, Spanien)	05/2010	06/2010	Organisator des Minisymposiums "Multiscale models for polymer transport dynamics" (gemeinsam mit T. Levièvre)