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

In Proceedings

  1. O. Møyner and K.-A. Lie. A data-driven approach to select optimal time steps for complex reservoir models. SPE Reservoir Simulation Conference, Galveston, Texas, USA, 25-27 Mar 2025.
  2. K. Holme, K.-A. Lie, O. Møyner, A. Johansson. Grid-orientation effects in the 11th SPE Comparative Solution Project using unstructured grids and consistent discretizations SPE Reservoir Simulation Conference, Galveston, Texas, USA, 25-27 Mar 2025.
  3. T.M. Andersen, J. Torben, K.O. Lye, A.F. Rasmussen, K.-A. Lie. A comparison Of DILU and ILU(0) as GPU- accelerated preconditioners. SPE Reservoir Simulation Conference, Galveston, Texas, USA, 25-27 Mar 2025. .
  4. A. F. Rasmussen, O. Møyner, B. Skaflestad, K.-A. Lie, J. Torben, A Moncorgé, and V. Kippe. Distributed field-scale parallel nonlinear domain decomposition solver. ECMOR 2024, 2024. DOI: 10.3997/2214-4609.202437058.
  5. K.-A. Lie, O. Møyner, Ø. Klemetsdal, B. Skaflestad, A. Moncorgé, and V. Kippe. Enhancing performance of complex reservoir models via convergence monitors. ECMOR 2024, 2024. DOI: 10.3997/2214-4609.202437057
  6. B. Aslam, B. Yan, K.-A. Lie, S. Krogstad, O. Møyner, X. He. DiagNet-a hybrid physics-data driven model for fractured reservoir simulation. GOTECH, Dubai, UAE, May 2024. DOI: 10.2118/219110-MS.
  7. B. Aslam, B. Yan, Z. Tariq, S. Krogstad, and K.-A. Lie. Rapid simulation and optimization of geological CO2 sequestration using coarse grid network model. SPE/IATMI Asia Pacific Oil & Gas Conference and Exhibition, Jakarta, Indonesia, October 2023. DOI: 10.2118/215306-MS.
  8. S. Krogstad, O.S. Klemetsdal, K.-A. Lie. Efficient adaptation and calibration of adjoint-based reduced-order coarse-grid network models. SPE Reservoir Simulation Conference, Galveston, Texas, USA, 28-30 Mar 2023. DOI: 10.2118/212207-MS.
  9. K.-A. Lie, O. Møyner, and Ø.A. Klemetsdal. An adaptive Newton-ASPEN solver for complex reservoir models. SPE Reservoir Simulation Conference, Galveston, Texas, USA, 28-30 Mar 2023. DOI: 10.2118/212199-MS.
  10. H. Liu, X. Liao, K.-A. Lie, Ø.S. Klemetsdal, K. Bao, A. Johansson, X. Raynaud, and X. Zhao. An integrated modeling framework for simluating complex transient flow in fractured reservoirs by 3D high-quality unstuctured mesh, SPE Reservoir Simulation Conference, Galveston, Texas, USA, 28-30 Mar 2023. DOI: 10.2118/212171-MS
  11. K.-A. Lie and S Krogstad. Data-driven modelling with coarse-grid network models. ECMOR 2022 - European Conference on the Mathematics of Geological Reservoirs. DOI: 10.3997/2214-4609.202244065.
  12. O. Møyner, A. Rasmussen, Ø. Klemetsdal, H. M. Nilsen, A. Moncorgé, and K.-A. Lie. Nonlinear domain decomposition preconditioning for robust and efficient field-scale simulation of subsurface flow. ECMOR 2022 - European Conference on the Mathematics of Geological Reservoirs. DOI: 10.3997/2214-4609.202244108
  13. M. A. Borregales Reverón, H. H. Holm, O. Møyner, S. Krogstad, and K.-A. Lie. Numerical comparison between ES-MDA and gradient-based optimizationfor history matching of reduced reservoir models. SPE Reservoir Simulation Conference, Galveston, Texas, USA, 3-5 October, 2021. DOI: 10.2118/203975-MS
  14. Ø Klemetsdal, A. Moncorgé, O. Møyner, and K.-A. Lie. Additive Schwarz preconditioned exact Newton method as a nonlinear preconditioner for multiphase porous media flow. ECMOR XVII - 17th European Conference on the Mathematics of Oil Recovery, 2020. DOI: 10.3997/2214-4609.202035050
  15. H.M. Nilsen, A. Moncorgé, K. Bao, O. Møyner, K.-A. Lie, and A. Brodtkorb. Comparison between algebraic multigrid and multilevel multiscale methods for reservoir simulation. ECMOR XVII - 17th European Conference on the Mathematics of Oil Recovery, 2020. DOI: 10.3997/2214-4609.202035063
  16. F. Watson, S. Krogstad, K.-A. Lie. Flow diagnostics for model ensembles. ECMOR XVII - 17th European Conference on the Mathematics of Oil Recovery, 2020. DOI: 10.3997/2214-4609.202035133
  17. M. Borregales, O. Møyner, S. Krogstad, K.-A. Lie. Data-driven models based on flow diagnostics. ECMOR XVII - 17th European Conference on the Mathematics of Oil Recovery, 2020. DOI: 10.3997/2214-4609.202035122
  18. Ø.S. Klemetsdal, O. Møyner, X. Raynaud, K.-A. Lie. A comparison of consistent discretizations for elliptic problems on polyhedral grids. In: Klöfkorn R., Keilegavlen E., Radu F., Fuhrmann J. (eds): Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples. FVCA 2020. Springer Proceedings in Mathematics & Statistics, vol 323. pp. 585-594, 2020, Springer, Cham. DOI: 10.1007/978-3-030-43651-3_55
  19. Ø.S. Klemetsdal, O. Møyner, and K.-A. Lie. Implicit high-resolution compositional simulation with optimal ordering of unknowns and adaptive spatial refinement. SPE Reservoir Simulation Conference, Galveston, Texas, USA, 10-11 April, 2019. DOI: 10.2118/193934-MS
  20. A. Guion, B. Skaflestad, K.-A. Lie, and X.-H. Wu. Validation of a non-uniform coarsening and upscaling framework. SPE Reservoir Simulation Conference, Galveston, Texas, USA, 10-11 April, 2019. DOI: 10.2118/193891-MS
  21. Ø.S Klemetsdal, O Møyner and K.-A Lie. Use of dynamically adapted basis functions to accelerate multiscale simulation of complex geomodels. ECMOR XVI - 16th European Conference on the Mathematics of Oil Recovery, 2018. DOI: 10.3997/2214-4609.201802251.
  22. K.A. Lie, T.S. Mykkeltvedt and O. Møyner. Fully implicit WENO schemes on stratigraphic and fully unstructured grids. ECMOR XVI - 16th European Conference on the Mathematics of Oil Recovery, 2018. DOI: 10.3997/2214-4609.201802269
  23. Ø.S. Klemetsdal, A.F. Rasmussen, O. Møyner and K.-A Lie. Nonlinear Gauss-Seidel solvers with higher order for black-oil models. ECMOR XVI - 16th European Conference on the Mathematics of Oil Recovery, 2018. DOI: 10.3997/2214-4609.201802130 .
  24. R. Toft, K.-A. Lie, Olav Møyner. Full approximation scheme for reservoir simulation. Norsk Informatikkonferanse, 2018.
  25. Ø. Klemetsdal, O. Møyner, X. Raynaud, and K.-A. Lie. Non-linear Newton solver for a polymer two-phase system using interface-localized trust regions. IOR 2017 - 19th European Symposium on Improved Oil Recovery 24-27 April 2017, Stavanger, Norway. DOI: 10.3997/2214-4609.201700356
  26. K.-A. Lie, O. Møyner, and J. R. Natvig. A feature-enriched multiscale method for simulating complex geomodels. SPE Reservoir Simulation Conference, Montgomery, Texas, USA, 20-22 February 2017. DOI: 10.2118/182701-MS
  27. Ø. S. Klemetsdal, R. L. Berge, K.-A. Lie, H. M. Nilsen, and O. Møyner. Unstructured gridding and consistent discretizations for reservoirs with faults and complex wells. SPE Reservoir Simulation Conference, Montgomery, Texas, USA, 20-22 February 2017. DOI: 10.2118/182666-MS
  28. K.-A. Lie, K. Kedia, B. Skaflestad, X. Wang, Y. Yang, X.-H. Wu, and N. Hoda. A General non-uniform coarsening and upscaling framework for reduced-order modeling. SPE Reservoir Simulation Conference, Montgomery, Texas, USA, 20-22 February 2017. DOI: 10.2118/182681-MS
  29. S. Krogstad, K.-A. Lie, H. M. Nilsen, C. F. Berg, and V. Kippe. Flow diagnostics for optimal polymer injection strategies ECMOR XV, Amsterdam, Netherlands, 29 Aug--1 Sept, 2016. DOI: 0.3997/2214-4609.201601874
  30. K.-A. Lie, O. Møyner, J. R. Natvig, A. Kozlova, K. Bratvedt, S. Watanabe, and Z. Li. Successful application of multiscale methods in a real reservoir simulator environment. ECMOR XV, Amsterdam, Netherlands, 29 Aug--1 Sept, 2016. DOI: 10.3997/2214-4609.201601893
  31. K. Bao, K.-A. Lie, O. Møyner, and M. Liu Fully-implicit simulation of polymer flooding with MRST. ECMOR XV, Amsterdam, Netherlands, 29 Aug--1 Sept, 2016. DOI: 10.3997/2214-4609.201601880
  32. R. Allen, H. M. Nilsen, O. Andersen, and K.-A. Lie On obtaining optimal well rates and placement for CO2 storage. ECMOR XV, Amsterdam, Netherlands, 29 Aug--1 Sept, 2016. DOI: 10.3997/2214-4609.201601823
  33. T. S. Mykkeltvedt, X. Raynaud, and K.-A. Lie. Fully-implicit higher-order schemes applied to polymer flooding. ECMOR XV, Amsterdam, Netherlands, 29 Aug--1 Sept, 2016. DOI: 10.3997/2214-4609.201601848
  34. S. Krogstad, K.-A. Lie, O. Møyner, H. M. Nilsen, X. Raynaud, and B. Skaflestad. MRST-AD - an open-source framework for rapid prototyping and evaluation of reservoir simulation problems. 2015 Reservoir Simulation Symposium, Houston, Texas, USA, 23-25 February 2015. DOI: 10.2118/173317-MS
  35. O. Møyner and K.-A. Lie. A multiscale method based on restriction-smoothed basis functions suitable for general grids in high contrast media. 2015 Reservoir Simulation Symposium, Houston, Texas, USA, 23-25 February 2015. DOI: 10.2118/173265-MS
  36. K.-A. Lie, S. Krogstad, O. Møyner. Application of flow diagnostics and multiscale methods for reservoir management. 2015 Reservoir Simulation Symposium, Houston, Texas, USA, 23-25 February 2015. DOI: 10.2118/173306-MS
  37. K.-A. Lie, H. M. Nilsen, and O. Andersen. A simulation workflow for large-scale CO2 storage in the Norwegian North Sea. ECMOR XIV, Catania, Sicily, Italy, 8-11 September 2014. DOI: 10.3997/2214-4609.20141877
  38. A. F. Rasmussen and K.-A. Lie. Discretization of flow diagnostics on stratigraphic and unstructured grids. ECMOR XIV, Catania, Sicily, Italy, 8-11 September 2014. DOI: 10.3997/2214-4609.20141844
  39. X. Raynaud, K.-A. Lie, H. M. Nilsen, and A. F. Rasmussen. Well-posedness of the single-cell transport problem for a two-phase flow with polymer. ECMOR XIV, Catania, Sicily, Italy, 8-11 September 2014. DOI: 10.3997/2214-4609.20141893
  40. O. Andersen, H. M. Nilsen, and K.-A. Lie. Reexamining CO2 storage capacity and utilization of the Utsira Formation. ECMOR XIV, Catania, Sicily, Italy, 8-11 September 2014. DOI: 10.3997/2214-4609.20141809
  41. T. S. Mykkeltvedt, I. Aavatsmark, K.-.A. Lie. Numerical aspects of polymer flood modeling. ECMOR XIV, Catania, Sicily, Italy, 8-11 September 2014. DOI: 10.3997/2214-4609.20141852
  42. S. T. Hilden, K.A. Lie, X. Raynaud. Steady state upscaling of polymer flooding. ECMOR XIV, Catania, Sicily, Italy, 8-11 September 2014. DOI: 10.3997/2214-4609.20141802
  43. K.-A. Lie, H. M. Nilsen, A. F. Rasmussen, and X. Raynaud. Fast simulation of polymer injection in heavy-oil reservoirs based on topological sorting and sequential splitting. 2013 SPE Reservoir Simulation Symposium, The Woodlands, Texas, USA, 18-20 February 2013. DOI: 10.2118/163599-MS
  44. O. Møyner and K.-A. Lie. The multiscale finite volume method on unstructured grids. 2013 SPE Reservoir Simulation Symposium, The Woodlands, Texas, USA, 18-20 February 2013. DOI: 10.2118/163649-MS
  45. M. Pal, S. Lamine, K.-A. Lie, and S. Krogstad Multiscale method for simulating two and three-phase flow in porous media. 2013 SPE Reservoir Simulation Symposium, The Woodlands, Texas, USA, 18-20 February 2013. DOI: 10.2118/163669-MS
  46. K.-A. Lie, H. M. Nilsen, A. F. Rasmussen, and X. Raynaud. An unconditionally stable splitting method using reordering for simulating polymer injection. Proceedings of ECMOR XIII, Biarritz, France, 10-13 September 2012. DOI: 10.3997/2214-4609.20143229
  47. J. R. Natvig, K.-A. Lie, S. Krogstad, Y. Yang, and X.-H. Wu. Grid adaption for upscaling and multiscale methods. Proceedings of ECMOR XIII, Biarritz, France, 10-13 September 2012. DOI: 10.3997/2214-4609.20143191
  48. S. Krogstad, K.-A. Lie, and B. Skaflestad. Mixed multiscale methods for compressible flow. Proceedings of ECMOR XIII, Biarritz, France, 10-13 September 2012. DOI: 10.3997/2214-4609.20143240
  1. M. Pal, S. Lamine, K.-A. Lie, and S. Krogstad. Multiscale methods for two and three-phase flow simulation in subsurface petroleum reservoirs. Proceedings of ECMOR XIII, Biarritz, France, 10-13 September 2012. DOI: 10.3997/2214-4609.20143227
  2. A. R. Syversveen, H. M. Nilsen, K.-A. Lie, J. Tveranger, and P. Abrahamsen. A study on how top-surface morphology influences the CO2 storage capacity. In "Geostatistics Oslo 2012", Quantitative Geology and Geostatistics, Springer Verlag, Vol. 17, pp.481-492, 2012. DOI: 10.1007/978-94-007-4153-9_39.
  3. J. Tveranger, P. Dahle, H.M. Nilsen, A.R. Syversveen, J.M. Nordbotten, P. Abrahamsen, and K.A. Lie. Impact of top-reservoir morphology on CO2 sequestration. Third EAGE CO2 Geological Storage Workshop Understanding the Behaviour of CO2 in Geologic Storage Reservoirs 26-27 March 2012, Edinburgh, UK. DOI: 10.3997/2214-4609.20143799
  4. K.M. Flornes, K.-A. Lie, H.M. Nilsen, O. Saevareid, and B. Flemisch. An open source numerical CO2 laboratory. Third EAGE CO2 Geological Storage Workshop Understanding the Behaviour of CO2 in Geologic Storage Reservoirs 26-27 March 2012, Edinburgh, UK. DOI: 10.3997/2214-4609.20143808
  5. F. O. Alpak, M. Pal, and K.-A. Lie. A multiscale method for modeling flow in stratigraphically complex reservoirs. 2011 SPE Reservoir Simulation Symposium, The Woodlands, Texas, USA, 21-23 February 2011. DOI: 10.2118/140403-MS
  6. K.-A. Lie, S. Krogstad, I. S. Ligaarden, J. R. Natvig, H. M. Nilsen, and B. Skaflestad. Discretisation on complex grids - Open-source MATLAB implementation. Proceedings of ECMOR XII, Oxford, UK, 6-9 September 2010. DOI: 10.3997/2214-4609.20145007
  7. V. L. Hauge, K.-A. Lie, and J. R. Natvig. Flow-based grid coarsening for transport simulations. Proceedings of ECMOR XII, Oxford, UK, 6-9 September 2010. DOI: 10.3997/2214-4609.20145016
  8. K.-A. Lie, I. S. Ligaarden, and H. M. Nilsen. Accurate discretization of vertically-averaged models of CO2 plume migration. Proceedings of ECMOR XII, Oxford, UK, 6-9 September 2010. DOI: 10.3997/2214-4609.20144940
  9. I. Ligaarden, M. Krokiewski, K.-A. Lie, D. W. Schmid, M. Pal. On the Stokes-Brinkman equations for modeling flow in carbonate reservoirs. Proceedings of ECMOR XII, Oxford, UK, 6-9 September 2010. DOI: 10.3997/2214-4609.20144924
  10. M. Ashraf, K.-A. Lie, H. M. Nilsen, and A. Skorstad. Impact of geological heterogeneity on early-stage CO2 plume migration: sensitivity study. Proceedings of ECMOR XII, Oxford, UK, 6-9 September 2010. DOI: 10.3997/2214-4609.20145012
  11. M. Ashraf, K.-A. Lie, H.M. Nilsen, J.M. Nordbotten and A. Skorstad. Impact of heterogeneity on early-stage CO2 plume migration. XVIII International Conference on Water Resources (CMWR 2010), J. Carrera (Ed), CIMNE, Barcelona, 2010.
  12. S. Krogstad, K.-A. Lie, H. M. Nilsen, J. R. Natvig, B. Skaflestad, and J.E. Aarnes. A multiscale mixed finite-element solver for three-phase black-oil flow. 2009 SPE Reservoir Simulation Symposium, The Woodlands, Texas, USA, 2-4 February. DOI: 10.2118/118993-MS
  13. A. F. Gulbransen, V. L. Hauge, and K.-A. Lie. A multiscale mixed finite-element method for vuggy and naturally-fractured reservoirs. 2009 SPE Reservoir Simulation Symposium, The Woodlands, Texas, USA, 2-4 February. DOI: 10.2118/119104-MS
  14. H. M. Nilsen and K.-A. Lie. Front-tracking methods for use in streamline simulation of compressible flow. 2009 SPE Reservoir Simulation Symposium, The Woodlands, Texas, USA, 2-4 February. DOI: 10.2118/119099-MS
  15. J. R. Natvig, B. Skaflestad, F. Bratvedt, K. Bratvedt, K.-A. Lie, V. Laptev, and S. K. Khataniar. Multiscale mimetic solvers for efficient streamline simulation of fractured reservoirs. 2009 SPE Reservoir Simulation Symposium, The Woodlands, Texas, USA, 2-4 February. DOI: 10.2118/119132-MS
  16. A. F. Gulbransen, V. L. Hauge, and K.-A. Lie. A multiscale mixed finite-element method for vuggy and naturally-fractured reservoirs. 21th Nordic Seminar on Computational Mechanics. T. Kvamsdal, K.M. Mathisen, and B. Pettersen (eds), CIMNE, Barcelona, 2008.
  17. J. R. Natvig and K.-A. Lie. On efficient implicit upwind schemes. Proceedings of ECMOR XI, Bergen, Norway, 8-11 September 2008. DOI: 10.3997/2214-4609.20146356
  18. K.-A. Lie, V. R. Stenerud, and A. F. Rasmussen. Adaptive multiscale-streamline simulation and inversion for high-resolution geomodels. Proceedings of ECMOR XI, Bergen, Norway, 8-11 September 2008. DOI: 10.3997/2214-4609.20146408
  19. H. M. Nilsen and K.-A. Lie. On front tracking for compressible flow. Proceedings of ECMOR XI, Bergen, Norway, 8-11 September 2008. DOI: 10.3997/2214-4609.20146367
  20. V. L. Hauge, J. E. Aarnes, and K.-A. Lie. Operator splitting of advection and diffusion on non-uniformly coarsened grids. Proceedings of ECMOR XI, Bergen, Norway, 8-11 September 2008. DOI: 10.3997/2214-4609.20146392
  21. S. Clausen, K. Greiner, O. Andersen, K.-A. Lie, H. Schulerud, and T. Kavli. Automatic segmentation of overlapping fish using shape priors. Lecture Notes in Comput. Sci., Vol. 4522/2007, pp. 11-20, 2007. DOI: 10.1007/978-3-540-73040-8_2
  22. V. Kippe, H. Hægland, and K.-A. Lie. A method to improve the mass-balance in streamline methods. 2007 SPE Reservoir Simulation Symposium, Houston, Texas U.S.A., February 26-28, 2007. DOI: 10.2118/106250-MS
  23. V. R. Stenerud, V. Kippe, A. Datta-Gupta, and K.-A. Lie. Adaptive multiscale streamline simulation and inversion for high-resolution geomodels. 2007 SPE Reservoir Simulation Symposium, Houston, Texas U.S.A., February 26-28, 2007. DOI: 10.2118/106228-MS
  24. T. R. Hagen, K.-A. Lie, and J. R. Natvig. Solving the Euler equations on graphical processing units. Lecture Notes in Comput. Sci., Vol. 3994, pp. 220-227, 2006.
  25. J. E. Aarnes, S. Krogstad, K.-A. Lie, and J. R. Natvig. Fast sequential implicit porous media flow simulations using multiscale finite elements and reordering of cells for solution of nonlinear transport equation. Proceedings of ECMOR X, Amsterdam, the Netherlands, 4-7 September 2006. DOI: 10.3997/2214-4609.201402519
  26. B. Eikemo, I. Berre, H. K. Dahle, K.-A. Lie, and J. R. Natvig. A discontinuous Galerkin method for computing time-of-flight in discrete-fracture models. In "Proceedings of the XVI International Conference on Computational Methods in Water Resources, Copenhagen, Denmark, June, 2006", Eds., P.J. Binning et al.
  27. H. Hægland, H. K. Dahle, K.-A. Lie, and G.T. Eigestad. Adaptive streamline tracing for streamline simulation on irregular grids. In "Proceedings of the XVI International Conference on Computational Methods in Water Resources, Copenhagen, Denmark, June, 2006", Eds., P.J. Binning et al.
  28. V. Kippe, J.E. Aarnes, and K.-A. Lie. Multiscale finite-element methods for elliptic problems in porous media flow. In "Proceedings of the XVI International Conference on Computational Methods in Water Resources, Copenhagen, Denmark, June, 2006", Eds., P.J. Binning et al.
  29. J.R. Natvig, K.-A, Lie, and B. Eikemo. Fast solvers for flow in porous media based on discontinuous Galerkin methods and optimal reordering. In "Proceedings of the XVI International Conference on Computational Methods in Water Resources, Copenhagen, Denmark, June, 2006", Eds., P.J. Binning et al.
  30. K.-A. Lie, J.E. Aarnes, V. Kippe, and S. Krogstad. Multiscale methods for flow in porous media. Rakenteiden Mekaniikka (J. Structural Mechanics), Vol. 38, No. 3, pp. 19-25, 2005. (Special issue for the 18th Nordic Seminar on Computational Mechanics, October 27-30, 2005.)
  31. R. Juanes and K.-A. Lie. A front-tracking method for efficient simulation of miscible gas injection processes. 2005 SPE Reservoir Simulation Symposium, Houston, Texas U.S.A., 31 January 2005--2 February 2005. DOI: 10.2118/93298-MS
  32. R. Juanes, K.-A. Lie, and V. Kippe. A front-tracking method for hyperbolic three-phase models. Proceedings of ECMOR IX, Cannes, France, 30 August - 2 September. 2004. EAGE, Houten, The Netherlands.
  33. J. E. Aarnes and K.-A. Lie. Toward reservoir simulation on geological grid models. Proceedings of ECMOR IX, Cannes, France, 30 August - 2 September. 2004. EAGE, Houten, The Netherlands.
  34. J. E. Aarnes, V. Kippe and K.-A. Lie. Multiscale methods and streamline simulation for rapid reservoir performance prediction. In "Progress in Industrial Mathematics at ECMI 2004", Eds., A. Di Bucchianico, R.M.M. Mattheij, and M.A. Peletier, Mathematics in Industry, Vol. 8, pp. 399-403, Springer Verlag, 2006.
  35. I. Berre, H. K. Dahle, K. Hvistendahl Karlsen, K.-A. Lie, and J. R. Natvig. Time-of-flight + fast marching + transport collapse: an alternative to streamlines for two-phase porous media flow with capillary forces? In "Proceedings of the XIV International Conference on Computational Methods in Water Resources", pp. 995-102, Elsevier, 2002.
  36. K.-A. Lie, S. Noelle, and W. Rosenbaum. On the resolution and stability of central difference schemes. In "Proceedings of the Third International Symposium on: FINITE VOLUMES FOR COMPLEX APPLICATIONS - PROBLEMS AND PERSPECTIVES, Porquerolles (2002)", pp. 793-800, Hermes Penton Ltd, London, 2002.
  37. K.-A. Lie and S. Noelle. High resolution nonoscillatory central difference schemes for the 2D Euler equations via artificial compression. In "Progress in Industrial Mathematics at ECMI 2000", Eds., M. Anile, V. Capasso, and A. Greco, Mathematics in Industry, Vol. 1, pp. 318-324, Springer Verlag, 2002.
  38. H. Holden, K. Hvistendahl Karlsen, K.-A. Lie, and N. H. Risebro. Operator splitting for convection-dominated nonlinear partial differential equations. In "Godunov Methods:Theory and Applications". Edited Review, E. F. Toro (Editor), Kluwer Academic/Plenum Publishers, pp. 469-475, 2001.
  39. K. Hvistendahl Karlsen, K.-A. Lie, J. R. Natvig, and N. H. Risebro. A fast marching method for 3D reservoir simulation. In "Proceedings of the 13th Nordic Seminar on Computational Mechanics (NSCM-13)", Eds., J. Hellesland, H. Osnes, and G. Skeie, pp. 147-150, Mechanics and Applied Mathematics Series, No. 7, University of Oslo, Norway, October 2000.
  40. K. Hvistendahl Karlsen, K.-A. Lie, and N. H. Risebro. A front tracking method for conservation laws with boundary conditions. In "Hyperbolic problems: theory, numerics, applications (Seventh international conference in Zürich, 1998)", Eds., M. Fey and R. Jeltsch, Int. Series of Numerical Mathematics, Vol. 129, pp. 493-502, Birkhäuser, 1999.