Biography

I am an universitetslektor (associate professor with tenure) in the numerical analysis group of the department of mathematics, KTH, Stockholm. My research is focused on numerical analysis, numerical linear algebra, matrix computations, and scientific computing. I work with applications from various fields such as systems and control, acoustics, electromagnetics, quantum mechanics and quantum chemistry.

Academic history

• 2013-201X - Associate professor with tenure, KTH, Stockholm (docent and lektor)
• 2011-2013 - Dahlquist research fellow, KTH, Stockholm
• 2008-2011 - Post-doc, K.U. Leuven, Belgium
• 2004-2008 - PhD, TU Braunschweig, Germany [Genealogy]
• 2003-2004 - Computer Programmer, Stockholm
• 1998-2003 - Master of science (teknisk fysik), KTH, Stockholm
• 1998 - Forsmark computer science gymnasium

Awards and grants

• 2014 - Göran Gustafsson Prize for junior researchers
• 2014-2018 - Project grant for young researchers, Swedish research council
• 2013 - Göran Gustafsson Grant for research visitors
• 2011 - Dahlquist research felllowship, KTH

Supervision / mentorship

• Parikshit Upadhyaya (PhD student 2016 -)
• Emil Ringh (PhD student 2015 -)
• Antti Koskela (post-doc 2014 - 2015, now Dahlquist fellow)
• Giampaolo Mele (PhD student 2014 -)
• Master’s thesis: Erik Peldan (master thesis, 2012, joint supervision with Olof Runborg, SMC best thesis award), Lena Leitenmaier (master thesis, 2016, PDF)
• Bachelor Thesis: Niklas Kleyer 2014, Hanna Fredenklo Jansson, 2016, Ruth Aleksandrauskaite 2016

Selected research interests

• Numerical linear algebra ^[?]
  • Nonlinear eigenvalue problems
  • Multiparameter eigenvalue problems
  • Krylov methods
  • Arnoldi’s method
  • Inverse iteration
  • Newton-type methods
  • Iterative methods for graphs
  • Matrix equations
  • Matrix functions
  • Model reduction
  • Convergence of iterative methods
• Computational solutions for systems and control
  • Computational methods for time-delay systems
  • Balancing and balanced truncation for time-delay systems
  • ℋ₂ norm
  • Eigenvalues for time-delay systems
  • Stability and stability margin
  • Optimization
  • Model reduction
• Eigenproblems in quantum mechanics
  • Perturbation theory (ab initio)
  • Self-consistent field iteration
  • Schrödinger equation: Gross-Pitaevskii equation
  • Schrödinger equation: Kohn-Sham equation

Memberships, community and service

• Swedish e-science graduate education (SeSE) - Director of studies
• COST action European Model Reduction Network - swedish representative in management committee
• SeRC Swedish e-Science Research Centre - numerical analysis community
• SIAM
• ILAS - International linear algebra society
• GAMM Activity group numerical linear algebra
• NA-seminar series coordinator: seminars 2013, seminars 2014, seminars 2015 and seminars 2016.

Academic year 2017-2018

• Matrix Computations for Large-scale Systems: SF2524
• Numeriska metoder för CDATE (computer science): SF1547
• Numerical linear algebra SF3580 (PhD level course)
• Preconditioning for linear systems of equations SF3584 (canvas page: here and here)
• Director of studies of SeSE

Academic year 2016-2017

• Matrix Computations for Large-scale Systems: SF2524
• Numeriska metoder för CDATE (computer science): SF1547
• Numerical linear algebra (PhD level course)
• Director of studies of SeSE

Academic year 2015-2016

• Matrix Computations for Large-scale Systems: SF2524
• Numeriska metoder för CDATE (computer science): SF1547
• Numerical linear algebra (PhD level course)
• Director of studies of SeSE

Academic year 2014-2015

• Matrix Computations for Large-scale Systems: SF2524
• Numeriska metoder för S: SF1514
• Numerical linear algebra (PhD level course)
• Director of studies of SeSE

Previous courses at KTH

• Fast Numerical Algorithms for Large-Scale Problems: DN2230
• Numeriska metoder för S (civil engineering): SF1514
• Numerical methods, Basic course II: DN1240
• Numeriska metoder grundkurs II, numo12: DN1260
• Advanced numerical methods for science and engineering: DN3250

Preprints/PDFs that you can download from this page may differ from the printed journal version. See also online research databases: MathSciNet profile, KTH research database (DIVA), papers indexed on Zentralblatt, google scholar profile, scopus profile and ORCID.

Under construction. In the meantime see my old web page.

(Under construction)

See my twitter feed.

Tweets by Elias

• eliasjkth.se
• +46 8 790 6694
• KTH - Dept. Math, Numerical analysis group, Lindstedtsvägen 25, room 3553, floor 5, 100 44 Stockholm, Sweden