Preprints 

• E. Engström, E. Hansen,
  An abstract approach to the Robin-Robin method,
  DD28 proceeding. 
  [ pdf preprint ]

Articles

• E. Engström, E. Hansen,
  Linearly convergent nonoverlapping domain decomposition methods for quasilinear parabolic equations,
  BIT, 64 (2024) #37.
  [ doi.org/10.1007/s10543-024-01038-5 ] [ pdf preprint ]
• E. Engström, E. Hansen,
  Modified Neumann–Neumann methods for semi- and quasilinear elliptic equations,
  Applied Numerical Mathematics, 206 (2024) pp. 322–339.
  [ doi.org/10.1016/j.apnum.2024.08.011 ] [ pdf preprint ]
• E. Engström, E. Hansen,
  Convergence analysis of the nonoverlapping Robin–Robin method for nonlinear elliptic equations,
  SIAM Journal on Numerical Analysis, 60 (2022) pp. 585–605.
  [ doi 10.1137/21M1414942 ] [ pdf preprint ]
• M. Eisenmann, E. Hansen,
  A variational approach to the sum splitting scheme,
  IMA Journal of Numerical Analysis, 42 (2022) pp. 923–950.
  [ doi 10.1093/imanum/draa100 ] [ pdf preprint ]
• M. Eisenmann, E. Hansen,
  Convergence analysis of domain decomposition based time integrators for degenerate parabolic equations,
  Numerische Mathematik, 140 (2018) pp. 913–938.
  [ 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. 1496–1519.
  [ 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.