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Eskil Hansen

Preprints

  • M. Eisenmann, E. Hansen,
    A variational approach to splitting schemes, with applications to domain decomposition integrators
    [ pdf preprint ]

 Articles

  • M. Eisenmann, E. Hansen,
    Convergence analysis of domain decomposition based time integrators for degenerate parabolic equations,
    Numerische Mathematik, 140 (2018) pp. 913938.
    doi 10.1007/s00211-018-0985-z ] [ pdf preprint ]
  • E. Hansen, E. Henningsson,
    Additive domain decomposition operator splittings – convergence analyses in a dissipative framework,
    IMA Journal of Numerical Analysis, 37 (2017) pp. 14961519.
    doi 10.1093/imanum/drw043 ] [ pdf preprint ]
  • E. Hansen, A. Ostermann,
    High-order splitting schemes for semilinear evolution equations,
    BIT, 56 (2016) pp. 1303–1316.
    doi 10.1007/s10543-016-0604-2 ] [ pdf preprint ]
  • E. Hansen, A. Ostermann, K. Schratz,
    The error structure of the Douglas-Rachford splitting method for stiff linear problems,
    Journal of Computational and Applied Mathematics, 303 (2016) pp. 140–145.
    doi 10.1016/j.cam.2016.02.037 ] [ pdf preprint ]
  • E. Hansen, E. Henningsson,
    A full space-time convergence order analysis of operator splittings for linear dissipative evolution equations,
    Communications in Computational Physics, 19 (2016) pp. 1302–1316.
    [ doi 10.4208/cicp.scpde14.22s ] [ pdf preprint ]
  • P. Ståhle, E. Hansen,
    Phase field modelling of stress corrosion,
    Engineering Failure Analysis, 47 (2015) pp. 241–251.
    doi 10.1016/j.engfailanal.2014.07.025 ] [ pdf preprint @ Ståhle ]
  • E. Hansen, T. Stillfjord,
    Convergence analysis for splitting of the abstract differential Riccati equation,
    SIAM Journal on Numerical Analysis, 52 (2014) pp. 3128–3139.
    doi 10.1137/130935501 ] [ pdf preprint ]
  • E. Hansen, T. Stillfjord,
    Splitting of dissipative evolution equations,
    Oberwolfach Reports, 11 (2014) pp. 814–816.
    doi 10.4171/OWR/2014/14 ] [ pdf preprint ]
  • E. Hansen, T. Stillfjord,
    Implicit Euler and Lie splitting discretizations of nonlinear parabolic equations with delay,
    BIT, 54 (2014) pp. 673–689.
    [ doi 10.1007/s10543-014-0480-6 ] [ pdf preprint ]
  • P. Dörsek, E. Hansen,
    High order splitting schemes with complex timesteps and their application in mathematical finance,
    Journal of Computational and Applied Mathematics, 262 (2014) pp. 234–243.
    [ doi 10.1016/j.cam.2013.07.037 ] [ pdf preprint ]
  • E. Hansen, E. Henningsson,
    A convergence analysis of the Peaceman-Rachford scheme for semilinear evolution equations,
    SIAM Journal on Numerical Analysis, 51 (2013) pp. 1900–1910.
    [ doi 10.1137/120890570 ] [ pdf preprint ]
  • E. Hansen, T. Stillfjord,
    Convergence of the implicit-explicit Euler scheme applied to perturbed dissipative evolution equations,
    Mathematics of Computation, 82 (2013) pp. 1975–1985.
    [ doi 10.1090/S0025-5718-2013-02702-0 ] [ pdf preprint ]
  • E. Hansen, F. Kramer, A. Ostermann,
    A second-order positivity preserving scheme for semilinear parabolic problems,
    Applied Numerical Mathematics, 62 (2012) pp. 1428-1435.
    [ doi 10.1016/j.apnum.2012.06.003 ] [ pdf preprint ]
  • E. Hansen, A. Ostermann,
    Dimension splitting for quasilinear parabolic equations,
    IMA Journal of Numerical Analysis, 30 (2010) pp. 857-869.
    [ doi 10.1093/imanum/drn078 ] [ pdf preprint ]
  • E. Hansen, A. Ostermann,
    Unconditional convergence of DIRK schemes applied to dissipative evolution equations,
    Applied Numerical Mathematics, 60 (2010) pp. 55-63.
    [ doi 10.1016/j.apnum.2009.09.001 ] [ pdf preprint ]
  • E. Hansen, A. Ostermann,
    Dimension splitting for time dependent operators,
    Discrete and Continuous Dynamical Systems, 2009 Suppl. (2009) pp. 322-332.
    [ journal link ] [ pdf preprint ]
  • E. Hansen, A. Ostermann,
    High order splitting methods for analytic semigroups exist,
    BIT, 49 (2009) pp. 527-542.
    [ doi 10.1007/s10543-009-0236-x ] [ pdf preprint ]
  • E. Hansen, A. Ostermann,
    Exponential splitting for unbounded operators,
    Mathematics of Computation, 78 (2009) pp. 1485-1496.
  • E. Hansen, A. Ostermann,
    Dimension splitting for evolution equations,
    Numerische Mathematik, 108 (2008) pp. 557-570.
  • E. Hansen, A. Ostermann,
    Finite element Runge-Kutta discretizations of porous medium type equations,
    SIAM Journal on Numerical Analysis, 46 (2008) pp. 1769-1779.
  • E. Hansen,
    Galerkin/Runge-Kutta discretizations of nonlinear parabolic equations,
    Journal of Computational and Applied Mathematics, 205 (2007) pp. 882-890.
  • E. Hansen,
    Runge-Kutta time discretizations of nonlinear dissipative evolution equations,
    Mathematics of Computation, 75 (2006) pp. 631-640.
  • E. Hansen,
    Convergence of multistep time discretizations of nonlinear dissipative evolution equations,
    SIAM Journal on Numerical Analysis, 44 (2006) pp. 55-65.
  • J. Persson, E. Hansen, L. Lidgren, I. McCarthy,
    Modeling of the heat distribution in the intervertebral disk,
    Ultrasound in Medicine and Biology, 31 (2005) pp. 709-717.
  • E. Hansen,
    Modelling heat transfer in a bone-cement-prosthesis system,
    Journal of Biomechanics, 36 (2003) pp. 787-795.
  • C. Evju, E. Hansen, S. Hansen,
    Simulating the hydration of cementitious phases with an oscillating rate of reaction,
    Cement and Concrete Research, 29 (1999) pp. 1513-1517.