Eskil Hansen

Centre for Mathematical Sciences
Lund University


CV


PUBLICATIONS

Preprints

E. Hansen, T. Stillfjord,
Implicit Euler and Lie splitting discretizations of nonlinear parabolic equations with delay,
submitted for publication.
[ pdf preprint ]

P. Dörsek, E. Hansen,
High order splitting schemes with complex timesteps and their application in mathematical finance,
submitted for publication.
[ pdf preprint ]

Peer-reviewed articles

E. Hansen, E. Henningsson,
A convergence analysis of the Peaceman-Rachford scheme for semilinear evolution equations,
to appear in SIAM Journal on Numerical Analysis.
[ pdf preprint ]

E. Hansen, T. Stillfjord,
Convergence of the implicit-explicit Euler scheme applied to perturbed dissipative evolution equations,
to appear in Mathematics of Computation.
[ 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.

Monographs

E. Hansen,
Discretizations of nonlinear dissipative evolution equations. Order and convergence,
PhD thesis, Lund University, Lund, 2005, ISBN 91-628-6668-0.