Home Publications Undergraduates Postgraduates Postdocs Calendar Contact

STAFF
  Jeroen Lamb  
  Martin Rasmussen  
  Dmitry Turaev  
  Sebastian van Strien  
RESEARCHERS
Mike Field
POSTDOCS
Fabrizio Bianchi
Trevor Clark
Nikos Karaliolios
Sofia Trejo Abad
Paul Verschueren
PHD STUDENTS
Alex Athorne
Sajjad Bakrani Balani
Andrew Clarke
Maximilian Engel
Michael Hartl
Giuseppe Malavolta
Guillermo Olicón Méndez
Cezary Olszowiec
Christian Pangerl
Matteo Tanzi
Kalle Timperi
VISITORS
Anna Maria Cherubini
Carlos Siquiera
Bill Speares
RELATED STAFF
Mauricio Barahona
Davoud Cheraghi
John Elgin
Darryl Holm
Greg Pavliotis


DR JANOSCH RIEGER

Janosch Rieger

Marie Curie Fellow

 
 

Phone: +44(207)59-48507
Room: 631 Huxley Building
I am a Marie Curie Fellow in the department of mathematics at Imperial College London.

Research Interests

My research is focussed on the computation and evolution of subsets of finite and infinite-dimensional spaces with applications in control theory, uncertainty quantification and inverse problems. The purpose of my Marie Curie Fellowship is the development of a new perspective on set computation and set dynamics based on generalized convexity.

Events

I am a member of the organising committees of the following two workshops:

Academic History

  • Feb 2015-Jan 2017, Marie Curie Fellow, Imperial College London
  • Oct 2014-Jan 2015, replacement professor, Goethe University Frankfurt
  • Oct 2013-Sep 2014, assistant professor, Goethe University Frankfurt
  • Apr 2013-Sep 2013, replacement professor, Goethe University Frankfurt
  • Aug 2009-Mar 2013, assistant professor, Goethe University Frankfurt
  • Apr 2006-Jul 2009, PhD student, Bielefeld University
  • Aug 2002-Mar 2006, diploma student, Bielefeld University
  • Sep 2001-Jul 2002, ERASMUS exchange student, Warwick University
  • Oct 1999-Aug 2001, diploma student, Bielefeld University

List of Publications

  • Robust boundary tracking for reachable sets of ordinary differential inclusions. Foundations of Computational Mathematics, to appear.
  • An iterative method for solving relaxed one-sided Lipschitz algebraic inclusions. (with Wolf-Jürgen Beyn), JOTA 164 (2015), no. 1, 154-172.
  • Semi-implicit Euler schemes for ordinary differential inclusions. SIAM J. Numer. Anal. 52 no. 2 (2014), 895-914.
  • Implementing Galerkin finite element methods for semilinear differential inclusions. Computational Methods in Applied Mathematics 13 (2013), no. 1, 95-118.
  • Non-convex systems of sets for Numerical Analysis. Computing 95 (2013), no. 1, 617-638.
  • Galerkin finite element methods for semilinear differential inclusions. (with Wolf-Jürgen Beyn), Disc. Cont. Dyn. Sys. B 18 (2013), no. 2, 285-312.
  • A proof of the Relaxation Theorem for differential inclusions based on Euler approximations. Numerical Functional Analysis and Optimization 33 (2012), no. 10, 1244-1249.
  • Discretizations of linear elliptic partial differential inclusions. Numerical Functional Analysis and Optimization 32 (2011), no. 8, 904-925.
  • An implicit function theorem for one-sided Lipschitz mappings. (with Wolf-Jürgen Beyn), Set-Valued Var. Anal. 19 (2011), no. 3, 343-359.
  • The implicit Euler scheme for one-sided Lipschitz differential inclusions. (with Wolf-Jürgen Beyn), Disc. Cont. Dyn. Sys. B 14 (2010), no. 2, 409-428.
  • A C^\infty density theorem for differential inclusions. Nonlinear Analysis: Theory, Methods & Applications. 11 (2010), no. 1, 4282-4287.
  • General hyperbolicity conditions for set-valued mappings. (with Sergej Yu. Pilyugin), Journal of Mathematical Sciences, Volume 175, Number 5, 600-608.
  • Shadowing and the Viability Kernel Algorithm. Applied Mathematics and Optimization, 60 (2009) no. 3, 429-441.
  • Shadowing and inverse shadowing in set-valued dynamical systems. Hyperbolic case. (with Sergej Yu. Pilyugin), Topol. Methods Nonlinear Anal. 32 (2008), no. 1, 151-164.
  • Shadowing and inverse shadowing in set-valued dynamical systems. Contractive case. (with Sergej Yu. Pilyugin), Topol. Methods Nonlinear Anal. 32 (2008), no. 1, 139-149.
  • Numerical fixed grid methods for differential inclusions. (with Wolf-Jürgen Beyn), Computing 81 (2007), no.1, 91-106.