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Currently: postdoc at the MPI Magdeburg, Germany. (CSC group)

Previously: postdoc at Chalmers and the University of Gothenburg, Sweden. (Mathematical Sciences department)

Contents:

CVPreprintsPublicationsThesisSoftware

Research
I am a numerical analyst; I construct, analyze and implement numerical methods for approximating the solutions to various problems, typically partial differential equations. Most of my work concerns different types of splitting schemes, which can be applied to a large number of problem classes to great effect. Recently, I have been quite interested in (differential) Riccati equations, and I am trying to move closer to the field of optimal control.

Short CV
Born on February 13, 1986, in Myckleby, Sweden.

Education: Academic employment:

Preprints

  1. Singular value decay of operator-valued differential Lyapunov and Riccati equations
    [preprint] [arxiv]
  2. with A. Målqvist, A. Persson:
    Multiscale differential Riccati equations for linear quadratic regulator problems
    [preprint] [arxiv]
  3. Convergence analysis for the exponential Lie splitting scheme applied to the abstract differential Riccati equation
    [preprint]

Publications

  1. Adaptive high-order splitting schemes for large-scale differential Riccati equations
    Numer. Algor. (2017), accepted for publication
    [preprint] [journal]
  2. with T. Damm, H. Mena:
    Numerical Solution of the Finite Horizon Stochastic Linear Quadratic Control Problem
    Numer. Linear Algebra Appl. 24(4) (2017), e2091
    [preprint] [journal]
  3. with A. Målqvist:
    Finite element convergence analysis for the thermoviscoelastic Joule heating problem
    BIT 57(3) (2017), pp.787-810
    [preprint] [journal]
  4. Low-rank second-order splitting of large-scale differential Riccati equations
    IEEE Trans. Automat. Control 60(10) (2015), pp. 2791-2796
    [preprint] [journal]
  5. with E. Hansen:
    Convergence analysis for splitting of the abstract differential Riccati equation
    SIAM J. Numer. Anal. 52(6) (2014), pp. 3128-3139
    [preprint] [journal]
  6. with E. Hansen:
    Implicit Euler and Lie splitting discretizations of nonlinear parabolic equations with delay
    BIT 54(3) (2014), pp. 673-689
    [preprint] [journal]
  7. with E. Hansen:
    Convergence of the implicit-explicit Euler scheme applied to perturbed dissipative evolution equations
    Math. Comp. 82(284) (2013), pp. 1975-1985
    [preprint] [journal]

Thesis

Software

Other links
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Postal address:
Max-Planck-Institut für Dynamik komplexer technischer Systeme
Sandtorstraße 1
DE-39106 Magdeburg
Germany
Office: room S3.14
Email: my surname at mpi-magdeburg dot mpg.de
URL: http://www.tonystillfjord.net
URL: http://www.mpi-magdeburg.mpg.de/csc
Phone: +49 391 6110 377 (office)