Book Chapters
- K.-A. Lie and B. T. Mallison. Mathematical models for
oil reservoir simulation. In "Encyclopedia of Applied and Computational
Mathematics", Eds. B. Engquist, Springer-Verlag Berlin Heidelberg, 2013. DOI:
10.1007/978-3-540-70529-1.
- K.-A. Lie. Hyperbolic conservation laws:
computation. In "Encyclopedia of Applied and Computational Mathematics",
Eds. B. Engquist, Springer-Verlag Berlin Heidelberg, 2013. DOI:
10.1007/978-3-540-70529-1.
- J. E. Aarnes, K.-A. Lie, V. Kippe, and
S. Krogstad. Multiscale methods for subsurface
flow. In "Multiscale Modeling and Simulation in Science", Eds., B. Engquist,
P. Lötstedt, and O. Runborg, LNCSE, Vol. 66, Springer Verlag, 2008,
pp. 3-48.
- T. R. Hagen, M. O. Henriksen, J. M. Hjelmervik, and K.-A. Lie. How to solve systems of conservation laws
numerically using the graphics processor as a high-performance
computational engine. In "Geometrical Modeling, Numerical
Simulation, and Optimization: Industrial Mathematics at SINTEF", Eds.,
G. Hasle, K.-A. Lie, and E. Quak, Springer Verlag, pp. 211-264, 2007.
- J. E. Aarnes, T. Gimse and K.-A. Lie. An introduction to the numerics of flow in
porous media using Matlab. In "Geometrical Modeling, Numerical
Simulation, and Optimization: Industrial Mathematics at SINTEF", Eds.,
G. Hasle, K.-A. Lie, and E. Quak, Springer Verlag, pp. 265-306, 2007.
The Matlab scripts are now available online
- J. E. Aarnes, V. Kippe, K.-A. Lie, and A. B. Rustad. Modelling of multiscale structures in flow
simulations for petroleum reservoirs. In "Geometrical Modeling,
Numerical Simulation, and Optimization: Industrial Mathematics at
SINTEF", Eds., G. Hasle, K.-A. Lie, and E. Quak, pp. 307-360, Springer Verlag, 2007.
Theses
- V. Haugse and K.-A. Lie. Numerical solution of boundary value
problems using probabilistic methods. Master's thesis. Department of
Mathematical Sciences, Norwegian Institute of Technology (NTH), 1993.
- K.-A. Lie. Front tracking and operator splitting for convection
dominated problems. NTNU Trondheim, Dr. Ing. thesis 1998:44,
Department of Mathematical Sciences. ISBN 82-471-0240-4. ISSN
0802-3271.
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Books
-
 H. Holden, K. H. Karlsen, K.-A. Lie, and N. H. Risebro. Splitting Methods for Partial
Differential Equations with Rough Solutions: Analysis and Matlab Programs.
EMS
Series of Lectures in Mathematics, Vol. 11,
European Mathematical Society Publishing
House, 2010.
Online computer codes: Operator Splitting in MATLAB
Edited Books
 Scale Space and Variational
Methods in Computer Vision. Second International Conference, SSVM 2009, Voss,
Norway, June 1-5, 2009. Proceedings. X.-C. Tai, K. Mørken, M. Lysaker, and
K.-A. Lie (eds). Lecture Notes in Computer Science, Vol 5567, Springer Verlag,
2009. ISBN: 0302-9743.
Access online version Image Processing Based on
Partial Differential Equations. Proceedings of the International Conference on
PDE-Based Image Processing and Related Inverse Problems, CMA, Oslo, August 8--12,
2005. X.-C. Tai, K.-A. Lie, T. F. Chan, and S. Osher (eds.). Mathematics and
Visualization, Springer Verlag, 2007. ISBN: 978-3-540-33266-5. Geometrical Modeling, Numerical
Simulation, and Optimization: Industrial Mathematics at SINTEF. G. Hasle,
K.-A. Lie, and E. Quak (eds.). Springer Verlag, 2007, ISBN:
978-3-540-68782-5.
Miscellaneous
 Computational Science and
Engineering: Challenges and Opportunities. Contributions Towards a Centre for
Computational Science and Engineering at NTNU and SINTEF. Strategic report, NTNU,
2010. ISBN 978-82-995202-0-1
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