In journals | In procedings | Books, book chapters, etc

Book Chapters

  1. R. L. Berge, Ø. S. Klemetsdal, and K.-A. Lie: Unstructured PEBI grids conforming to lower-dimensional objects. In "Advanced Modelling with the MATLAB Reservoir Simulation Toolbox", Eds. K.-A. Lie and O. Møyner, Cambridge University Press, Chapter 1, pp. 3-45, 2021. DOI: 10.1017/9781009019781.005.
  2. Ø. S. Klemetsdal and K.-A. Lie: Implicit discontinuous Galerkin methods for transport equations in porous media. In "Advanced Modelling with the MATLAB Reservoir Simulation Toolbox", Eds. K.-A. Lie and O. Møyner, Cambridge University Press, 2021, Chapter 3, pp. 70-96, 2021. DOI: 10.1017/9781009019781.007.
  3. K.-A. Lie and O. Møyner: Multiscale pressure solvers for stratigraphic and polytopal grids. In "Advanced Modelling with the MATLAB Reservoir Simulation Toolbox", Eds. K.-A. Lie and O. Møyner, Cambridge University Press, 2021, Chapter 4, pp. 97-148, 2021. DOI: 10.1017/9781009019781.008.
  4. X. Sun, K.-A. Lie, and K. Bao: Using state functions and MRST's AD-OO framework to implement simulators for chemical EOR. In "Advanced Modelling with the MATLAB Reservoir Simulation Toolbox", Eds. K.-A. Lie and O. Møyner, Cambridge University Press, 2021, Chapter 7, pp. 257-323, 2021. DOI: 10.1017/9781009019781.013.
  5. K.-A. Lie. On Holden's seven guidelines for scientific computing and development of open-source community software. In "Non-Linear Partial Differential Equations, Mathematical Physics, and Stochastic Analysis: The Helge Holden Anniversary Volume". Eds., F. Gesztesy, H. Hanche-Olsen, E. R. Jakobsen, Y. I. Lyubarskii, N. H. Risebro, K. Seip, EMS Series of Congress Reports, pp. 389-422, May 2018. DOI: 10.4171/186-1/17
  6. 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, pp. 850-856, 2015. DOI: 10.1007/978-3-540-70529-1_277.
  7. K.-A. Lie. Hyperbolic conservation laws: computation. In "Encyclopedia of Applied and Computational Mathematics", Eds. B. Engquist, Springer-Verlag Berlin Heidelberg, pp. 662-665, 2015. DOI: 10.1007/978-3-540-70529-1_333.
  8. 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.
  9. 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.
  10. 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
  11. 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

  1. 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.
  2. 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.

Books

  1. Knut-Andreas Lie. An Introduction to Reservoir Simulation Using MATLAB/GNU Octave User Guide for the MATLAB Reservoir Simulation Toolbox (MRST).
    Cambridge University Press, 2019.
    ISBN: 9781108492430
    www.cambridge.org/9781108492430
  2. 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 content: Operator Splitting in MATLAB, fulltext (pdf)

Edited Books/Proceedings

  1. T. Kvamsdal, K. M. Mathisen, K.-A. Lie, and M.G. Larson. 8th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2022). European Community on Computional Methods in Applied Sciences (ECCOMAS), 2022. ISBN 9788412322286. URL: scipedia.com/sj/eccomas2022
  2. Advanced Modelling with the MATLAB Reservoir Simulation Toolbox. K.-A. Lie and O. Møyner (eds.). Cambridge University Press, October 2021. ISBN: 9781009019781
  3. 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
  4. 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.
  5. 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.

Miscellaneous

  1. User Guide to Flow Diagnostics in MRST - Flow Diagnostics Preprocessors for Model Ensembles. hdl.handle.net/11250/2687239
  2. User Guide to Flow Diagnostics Postprocessing - Simulations in MRST and ECLIPSE Output Format. hdl.handle.net/11250/2687032
  3. 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