Fjordholm, Ulrik S.; Karlsen, Kenneth H.; Pang, Peter H. C. Convergent finite difference schemes for stochastic transport equations. arXiv:2309.02208 Preprint, arXiv:2309.02208 [math.NA] (2023). MSC: 60H15 65M12 60H50 65M80 BibTeX Cite \textit{U. S. Fjordholm} et al., ``Convergent finite difference schemes for stochastic transport equations'', Preprint, arXiv:2309.02208 [math.NA] (2023) Full Text: arXiv OA License
Karlsen, Kenneth H.; Towers, John D. Compactness estimates for difference schemes for conservation laws with discontinuous flux. arXiv:2305.18765 Preprint, arXiv:2305.18765 [math.NA] (2023). MSC: 35L65 65M12 BibTeX Cite \textit{K. H. Karlsen} and \textit{J. D. Towers}, ``Compactness estimates for difference schemes for conservation laws with discontinuous flux'', Preprint, arXiv:2305.18765 [math.NA] (2023) Full Text: arXiv OA License
Coclite, Giuseppe M.; Karlsen, Kenneth H.; Risebro, Nils Henrik A nonlocal Lagrangian traffic flow model and the zero-filter limit. arXiv:2302.03889 Preprint, arXiv:2302.03889 [math.AP] (2023). MSC: 35L65 65M12 90B20 BibTeX Cite \textit{G. M. Coclite} et al., ``A nonlocal Lagrangian traffic flow model and the zero-filter limit'', Preprint, arXiv:2302.03889 [math.AP] (2023) Full Text: arXiv OA License
Hoel, H.; Karlsen, K. H.; Risebro, N. H.; Storrøsten, E. B. Numerical methods for conservation laws with rough flux. (English) Zbl 1437.35485 Stoch. Partial Differ. Equ., Anal. Comput. 8, No. 1, 186-261 (2020). MSC: 35L65 35A35 65M06 60H15 65C30 PDFBibTeX XMLCite \textit{H. Hoel} et al., Stoch. Partial Differ. Equ., Anal. Comput. 8, No. 1, 186--261 (2020; Zbl 1437.35485) Full Text: DOI arXiv
Karlsen, K. H.; Storrøsten, E. B. Analysis of a splitting method for stochastic balance laws. (English) Zbl 1475.65153 IMA J. Numer. Anal. 38, No. 1, 1-56 (2018). MSC: 65M75 65M12 65M15 35L60 35R60 60H15 60J65 35R11 PDFBibTeX XMLCite \textit{K. H. Karlsen} and \textit{E. B. Storrøsten}, IMA J. Numer. Anal. 38, No. 1, 1--56 (2018; Zbl 1475.65153) Full Text: DOI arXiv Link
Karlsen, K. H.; Towers, J. D. Convergence of monotone schemes for conservation laws with zero-flux boundary conditions. (English) Zbl 1488.65365 Adv. Appl. Math. Mech. 9, No. 3, 515-542 (2017). MSC: 65M12 35K65 35L65 65M06 65M08 PDFBibTeX XMLCite \textit{K. H. Karlsen} and \textit{J. D. Towers}, Adv. Appl. Math. Mech. 9, No. 3, 515--542 (2017; Zbl 1488.65365) Full Text: DOI Link
Karlsen, K. H.; Towers, J. D. Convergence of a Godunov scheme for conservation laws with a discontinuous flux lacking the crossing condition. (English) Zbl 1380.65158 J. Hyperbolic Differ. Equ. 14, No. 4, 671-701 (2017). MSC: 65M06 35L65 PDFBibTeX XMLCite \textit{K. H. Karlsen} and \textit{J. D. Towers}, J. Hyperbolic Differ. Equ. 14, No. 4, 671--701 (2017; Zbl 1380.65158) Full Text: DOI
Karlsen, Kenneth H.; Risebro, Nils H.; Storrøsten, E. B. Practical convergence rates for degenerate parabolic equations. (English) Zbl 1372.35166 Gosse, Laurent (ed.) et al., Innovative algorithms and analysis. Based on the presentations at the workshop, Rome, Italy, May 17–20, 2016. Cham: Springer (ISBN 978-3-319-49261-2/hbk; 978-3-319-49262-9/ebook). Springer INdAM Series 16, 243-263 (2017). MSC: 35K65 35B40 35A35 65M12 PDFBibTeX XMLCite \textit{K. H. Karlsen} et al., Springer INdAM Ser. 16, 243--263 (2017; Zbl 1372.35166) Full Text: DOI Link
Colombo, Rinaldo M. (ed.); Karlsen, Kenneth H. (ed.); Lagoutière, Frédéric (ed.); Marson, Andrea (ed.) Special issue on contemporary topics in conservation laws. (English) Zbl 1347.00078 Netw. Heterog. Media 11, No. 1, i-ii (2016). MSC: 00B25 35-06 65-06 35L65 PDFBibTeX XMLCite \textit{R. M. Colombo} (ed.) et al., Netw. Heterog. Media 11, No. 1, i-ii (2016; Zbl 1347.00078) Full Text: DOI
Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik; Storrøsten, Erlend Briseid On the convergence rate of finite difference methods for degenerate convection-diffusion equations in several space dimensions. (English) Zbl 1342.65182 ESAIM, Math. Model. Numer. Anal. 50, No. 2, 499-539 (2016). Reviewer: Charis Harley (Johannesburg) MSC: 65M12 65M06 65M15 35K65 PDFBibTeX XMLCite \textit{K. H. Karlsen} et al., ESAIM, Math. Model. Numer. Anal. 50, No. 2, 499--539 (2016; Zbl 1342.65182) Full Text: DOI arXiv
Karlsen, K. H.; Risebro, N. H.; Storrøsten, E. B. \(L^{1}\) error estimates for difference approximations of degenerate convection-diffusion equations. (English) Zbl 1300.65067 Math. Comput. 83, No. 290, 2717-2762 (2014). Reviewer: Marius Ghergu (Dublin) MSC: 65M15 65M06 35K65 35L65 PDFBibTeX XMLCite \textit{K. H. Karlsen} et al., Math. Comput. 83, No. 290, 2717--2762 (2014; Zbl 1300.65067) Full Text: DOI arXiv
Holden, Helge; Karlsen, Kenneth H.; Karper, Trygve K. Operator splitting for well-posed active scalar equations. (English) Zbl 1282.35305 SIAM J. Math. Anal. 45, No. 1, 152-180 (2013). MSC: 35Q35 65M12 PDFBibTeX XMLCite \textit{H. Holden} et al., SIAM J. Math. Anal. 45, No. 1, 152--180 (2013; Zbl 1282.35305) Full Text: DOI arXiv
Holden, Helge; Karlsen, Kenneth H.; Karper, Trygve Operator splitting for two-dimensional incompressible fluid equations. (English) Zbl 1322.76017 Math. Comput. 82, No. 282, 719-748 (2013). MSC: 76D05 65M12 76U05 86A10 PDFBibTeX XMLCite \textit{H. Holden} et al., Math. Comput. 82, No. 282, 719--748 (2013; Zbl 1322.76017) Full Text: DOI arXiv
Evje, Steinar; Karlsen, K. H. Analysis of a compressible gas-liquid model motivated by oil well control operations. (English) Zbl 1265.76094 Acta Math. Sci., Ser. B, Engl. Ed. 32, No. 1, 295-314 (2012). MSC: 76T10 76N10 65M12 35L60 35D30 PDFBibTeX XMLCite \textit{S. Evje} and \textit{K. H. Karlsen}, Acta Math. Sci., Ser. B, Engl. Ed. 32, No. 1, 295--314 (2012; Zbl 1265.76094) Full Text: DOI
Karlsen, Kenneth H.; Karper, Trygve K. A convergent mixed method for the Stokes approximation of viscous compressible flow. (English) Zbl 1427.76131 IMA J. Numer. Anal. 32, No. 3, 725-764 (2012). MSC: 76M10 76N15 65M12 PDFBibTeX XMLCite \textit{K. H. Karlsen} and \textit{T. K. Karper}, IMA J. Numer. Anal. 32, No. 3, 725--764 (2012; Zbl 1427.76131) Full Text: DOI arXiv
Karlsen, K. H.; Koley, U.; Risebro, N. H. An error estimate for the finite difference approximation to degenerate convection-diffusion equations. (English) Zbl 1248.65098 Numer. Math. 121, No. 2, 367-395 (2012). Reviewer: K. N. Shukla (Gurgaon) MSC: 65M15 65M06 35K65 65M12 PDFBibTeX XMLCite \textit{K. H. Karlsen} et al., Numer. Math. 121, No. 2, 367--395 (2012; Zbl 1248.65098) Full Text: DOI arXiv
Holden, Helge (ed.); Karlsen, Kenneth H. (ed.) Nonlinear partial differential equations. The Abel symposium 2010. Proceedings of the Abel symposium, Oslo, Norway, September 28–October 2, 2010. (English) Zbl 1231.35003 Abel Symposia 7. Berlin: Springer (ISBN 978-3-642-25360-7/hbk; 978-3-642-25361-4/ebook). xvi, 360 p. (2012). MSC: 35-06 35G20 65Mxx 65Nxx 70G10 76M99 00B25 PDFBibTeX XMLCite \textit{H. Holden} (ed.) and \textit{K. H. Karlsen} (ed.), Nonlinear partial differential equations. The Abel symposium 2010. Proceedings of the Abel symposium, Oslo, Norway, September 28--October 2, 2010. Berlin: Springer (2012; Zbl 1231.35003) Full Text: DOI
Betancourt, F.; Bürger, R.; Karlsen, K. H. A strongly degenerate parabolic aggregation equation. (English) Zbl 1272.35125 Commun. Math. Sci. 9, No. 3, 711-742 (2011). MSC: 35K65 65M06 35Q92 35R09 PDFBibTeX XMLCite \textit{F. Betancourt} et al., Commun. Math. Sci. 9, No. 3, 711--742 (2011; Zbl 1272.35125) Full Text: DOI arXiv
Andreianov, Boris; Bendahmane, Mostafa; Karlsen, Kenneth H.; Pierre, Charles Convergence of discrete duality finite volume schemes for the cardiac bidomain model. (English) Zbl 1328.65190 Netw. Heterog. Media 6, No. 2, 195-240 (2011). MSC: 65M08 65M12 92C30 35K51 35K65 35Q92 PDFBibTeX XMLCite \textit{B. Andreianov} et al., Netw. Heterog. Media 6, No. 2, 195--240 (2011; Zbl 1328.65190) Full Text: DOI arXiv
Frid, Hermano; Holden, Helge; Karlsen, Kenneth H. \(L^\infty\) solutions for a model of nonisothermal polytropic gas flow. (English) Zbl 1252.35197 SIAM J. Math. Anal. 43, No. 5, 2253-2274 (2011). Reviewer: Argiris I. Delis (Chania) MSC: 35L65 35Q35 76N10 65M06 PDFBibTeX XMLCite \textit{H. Frid} et al., SIAM J. Math. Anal. 43, No. 5, 2253--2274 (2011; Zbl 1252.35197) Full Text: DOI arXiv
Cifani, Simone; Jakobsen, Espen R.; Karlsen, Kenneth H. The discontinuous Galerkin method for fractional degenerate convection-diffusion equations. (English) Zbl 1247.65128 BIT 51, No. 4, 809-844 (2011). Reviewer: Angela Handlovičová (Bratislava) MSC: 65M60 65M12 35K65 35K59 35L67 35R11 PDFBibTeX XMLCite \textit{S. Cifani} et al., BIT 51, No. 4, 809--844 (2011; Zbl 1247.65128) Full Text: DOI arXiv
Cifani, Simone; Jakobsen, Espen R.; Karlsen, Kenneth H. The discontinuous Galerkin method for fractal conservation laws. (English) Zbl 1256.65089 IMA J. Numer. Anal. 31, No. 3, 1090-1122 (2011). MSC: 65M60 35L65 35R10 65M12 65M15 PDFBibTeX XMLCite \textit{S. Cifani} et al., IMA J. Numer. Anal. 31, No. 3, 1090--1122 (2011; Zbl 1256.65089) Full Text: DOI arXiv
Karlsen, Kenneth H.; Karper, Trygve K. Convergence of a mixed method for a semi-stationary compressible Stokes system. (English) Zbl 1219.65094 Math. Comput. 80, No. 275, 1459-1498 (2011). Reviewer: Jürgen Socolowsky (Brandenburg an der Havel) MSC: 65M12 35Q30 76M10 76N99 PDFBibTeX XMLCite \textit{K. H. Karlsen} and \textit{T. K. Karper}, Math. Comput. 80, No. 275, 1459--1498 (2011; Zbl 1219.65094) Full Text: DOI arXiv
Holden, Helge; Karlsen, Kenneth H.; Risebro, Nils Henrik; Tao, Terence Operator splitting for the KdV equation. (English) Zbl 1219.35235 Math. Comput. 80, No. 274, 821-846 (2011). Reviewer: Qin Mengzhao (Beijing) MSC: 35Q53 65M12 65M15 PDFBibTeX XMLCite \textit{H. Holden} et al., Math. Comput. 80, No. 274, 821--846 (2011; Zbl 1219.35235) Full Text: DOI arXiv
Bürger, Raimund; Karlsen, Kenneth H.; Towers, John D. On some difference schemes and entropy conditions for a class of multi-species kinematic flow models with discontinuous flux. (English) Zbl 1263.76048 Netw. Heterog. Media 5, No. 3, 461-485 (2010). MSC: 76M25 65M06 76T99 90B20 PDFBibTeX XMLCite \textit{R. Bürger} et al., Netw. Heterog. Media 5, No. 3, 461--485 (2010; Zbl 1263.76048) Full Text: DOI
Karlsen, Kenneth H.; Karper, Trygve K. A convergent nonconforming finite element method for compressible Stokes flow. (English) Zbl 1222.35141 SIAM J. Numer. Anal. 48, No. 5, 1846-1876 (2010). Reviewer: Carlos A. De Moura (Rio de Janeiro) MSC: 35Q30 65M12 74S05 76N15 PDFBibTeX XMLCite \textit{K. H. Karlsen} and \textit{T. K. Karper}, SIAM J. Numer. Anal. 48, No. 5, 1846--1876 (2010; Zbl 1222.35141) Full Text: DOI arXiv
Biswas, Imran H.; Jakobsen, Espen R.; Karlsen, Kenneth H. Difference-quadrature schemes for nonlinear degenerate parabolic integro-PDE. (English) Zbl 1218.65147 SIAM J. Numer. Anal. 48, No. 3, 1110-1135 (2010). Reviewer: Temur Jangveladze (Tbilisi) MSC: 65R20 45K05 49L25 45G10 PDFBibTeX XMLCite \textit{I. H. Biswas} et al., SIAM J. Numer. Anal. 48, No. 3, 1110--1135 (2010; Zbl 1218.65147) Full Text: DOI arXiv
Bürger, Raimund; Karlsen, Kenneth H.; Torres, Héctor; Towers, John D. Second-order schemes for conservation laws with discontinuous flux modelling clarifier-thickener units. (English) Zbl 1204.65101 Numer. Math. 116, No. 4, 579-617 (2010). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M06 65M12 PDFBibTeX XMLCite \textit{R. Bürger} et al., Numer. Math. 116, No. 4, 579--617 (2010; Zbl 1204.65101) Full Text: DOI
Andreianov, B.; Bendahmane, M.; Karlsen, K. H. Discrete duality finite volume schemes for doubly nonlinear degenerate hyperbolic-parabolic equations. (English) Zbl 1207.35020 J. Hyperbolic Differ. Equ. 7, No. 1, 1-67 (2010). Reviewer: Argiris I. Delis (Chania) MSC: 35A35 35K65 65M08 65M12 35L65 74S10 35A01 35A02 PDFBibTeX XMLCite \textit{B. Andreianov} et al., J. Hyperbolic Differ. Equ. 7, No. 1, 1--67 (2010; Zbl 1207.35020) Full Text: DOI arXiv
Holden, Helge; Karlsen, Kenneth H.; Lie, Knut-Andreas; Risebro, Nils Henrik Splitting methods for partial differential equations with rough solutions. Analysis and Matlab programs. (English) Zbl 1191.35005 EMS Series of Lectures in Mathematics. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-078-4/pbk). viii, 226 p. (2010). Reviewer: Qin Mengzhao (Beijing) MSC: 35-02 65M12 35L65 35K65 35A35 35M10 35Q31 PDFBibTeX XMLCite \textit{H. Holden} et al., Splitting methods for partial differential equations with rough solutions. Analysis and Matlab programs. Zürich: European Mathematical Society (EMS) (2010; Zbl 1191.35005) Full Text: DOI
Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha; Risebro, Nils Henrik Well-balanced schemes for conservation laws with source terms based on a local discontinuous flux formulation. (English) Zbl 1198.35149 Math. Comput. 78, No. 265, 55-78 (2009). MSC: 35L65 74S10 65M12 PDFBibTeX XMLCite \textit{K. H. Karlsen} et al., Math. Comput. 78, No. 265, 55--78 (2009; Zbl 1198.35149) Full Text: DOI
Bürger, Raimund; Karlsen, Kenneth H.; Towers, John D. An Engquist-Osher-type scheme for conservation laws with discontinuous flux adapted to flux connections. (English) Zbl 1201.35022 SIAM J. Numer. Anal. 47, No. 3, 1684-1712 (2009). Reviewer: Qin Mengzhao (Beijing) MSC: 35A35 35L65 65M06 35L45 PDFBibTeX XMLCite \textit{R. Bürger} et al., SIAM J. Numer. Anal. 47, No. 3, 1684--1712 (2009; Zbl 1201.35022) Full Text: DOI
Karlsen, Kenneth H.; Karper, Trygve K. Convergent finite element methods for compressible barotropic Stokes systems. (English) Zbl 1407.76066 Tadmor, Eitan (ed.) et al., Hyperbolic problems. Theory, numerics and applications. Contributed talks. Proceedings of the 12th international conference on hyperbolic problems, June 9–13, 2008. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Appl. Math. 67, Part 2, 705-714 (2009). MSC: 76M10 65M60 35A35 35Q35 PDFBibTeX XMLCite \textit{K. H. Karlsen} and \textit{T. K. Karper}, Proc. Symp. Appl. Math. 67, 705--714 (2009; Zbl 1407.76066) Full Text: arXiv
Bürger, Raimund; Karlsen, Kenneth H.; Towers, John D. A conservation law with discontinuous flux modelling traffic flow with abruptly changing road surface conditions. (English) Zbl 1186.35005 Tadmor, Eitan (ed.) et al., Hyperbolic problems. Theory, numerics and applications. Contributed talks. Proceedings of the 12th international conference on hyperbolic problems, June 9–13, 2008. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4730-5/hbk; 978-0-8218-4728-2/2-vol. set). Proceedings of Symposia in Applied Mathematics 67, Part 2, 455-464 (2009). Reviewer: Prabhat Kumar Mahanti (Saint John) MSC: 35A35 65M06 35L65 90B20 PDFBibTeX XMLCite \textit{R. Bürger} et al., Proc. Symp. Appl. Math. 67, 455--464 (2009; Zbl 1186.35005)
Nilssen, T. K.; Karlsen, K. H.; Mannseth, T.; Tai, X.-C. Identification of diffusion parameters in a nonlinear convection-diffusion equation using the augmented Lagrangian method. (English) Zbl 1179.65122 Comput. Geosci. 13, No. 3, 317-329 (2009). MSC: 65M32 PDFBibTeX XMLCite \textit{T. K. Nilssen} et al., Comput. Geosci. 13, No. 3, 317--329 (2009; Zbl 1179.65122) Full Text: DOI
Evje, Steinar; Karlsen, Kenneth Hvistendahl Global weak solutions for a viscous liquid-gas model with singular pressure law. (English) Zbl 1175.76143 Commun. Pure Appl. Anal. 8, No. 6, 1867-1894 (2009). MSC: 76T10 76N10 65M12 35L60 PDFBibTeX XMLCite \textit{S. Evje} and \textit{K. H. Karlsen}, Commun. Pure Appl. Anal. 8, No. 6, 1867--1894 (2009; Zbl 1175.76143) Full Text: DOI Link
Fuchs, Franz G.; Karlsen, Kenneth H.; Mishra, Siddharta; Risebro, Nils H. Stable upwind schemes for the magnetic induction equation. (English) Zbl 1177.78057 ESAIM, Math. Model. Numer. Anal. 43, No. 5, 825-852 (2009). Reviewer: Dmitry Shepelsky (Kharkov) MSC: 78M20 65M12 35L65 76W05 PDFBibTeX XMLCite \textit{F. G. Fuchs} et al., ESAIM, Math. Model. Numer. Anal. 43, No. 5, 825--852 (2009; Zbl 1177.78057) Full Text: DOI EuDML
Holden, H.; Karlsen, K. H.; Risebro, N. H. A convergent finite-difference method for a nonlinear variational wave equation. (English) Zbl 1236.65112 IMA J. Numer. Anal. 29, No. 3, 539-572 (2009). MSC: 65M06 82D30 35L70 65M12 65M20 PDFBibTeX XMLCite \textit{H. Holden} et al., IMA J. Numer. Anal. 29, No. 3, 539--572 (2009; Zbl 1236.65112) Full Text: DOI arXiv
Karlsen, K. H.; Mishra, S.; Risebro, N. H. Semi-Godunov schemes for multiphase flows in porous media. (English) Zbl 1191.35022 Appl. Numer. Math. 59, No. 9, 2322-2336 (2009). Reviewer: Argiris I. Delis (Chania) MSC: 35A35 65M60 35L65 35L45 65M12 76S05 PDFBibTeX XMLCite \textit{K. H. Karlsen} et al., Appl. Numer. Math. 59, No. 9, 2322--2336 (2009; Zbl 1191.35022) Full Text: DOI
Bendahmane, Mostafa; Karlsen, Kenneth H. Convergence of a finite volume scheme for the bidomain model of cardiac tissue. (English) Zbl 1165.92005 Appl. Numer. Math. 59, No. 9, 2266-2284 (2009). MSC: 92C30 35K57 46N60 92C05 65N99 PDFBibTeX XMLCite \textit{M. Bendahmane} and \textit{K. H. Karlsen}, Appl. Numer. Math. 59, No. 9, 2266--2284 (2009; Zbl 1165.92005) Full Text: DOI
Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha; Risebro, Nils Henrik Convergence of finite volume schemes for triangular systems of conservation laws. (English) Zbl 1190.65133 Numer. Math. 111, No. 4, 559-589 (2009). Reviewer: Yaşar Sözen (Istanbul) MSC: 65M12 65M06 35L65 76S05 76M12 PDFBibTeX XMLCite \textit{K. H. Karlsen} et al., Numer. Math. 111, No. 4, 559--589 (2009; Zbl 1190.65133) Full Text: DOI Link
Andreianov, Boris; Bendahmane, Mostafa; Karlsen, Kenneth H. A gradient reconstruction formula for finite volume schemes and discrete duality. (English) Zbl 1422.65200 Eymard, Robert (ed.) et al., Finite volumes for complex applications. V. Proceedings of the 5th International Symposium, Aussois, June 2008. London: ISTE. 161-168 (2008). MSC: 65M08 65D25 PDFBibTeX XMLCite \textit{B. Andreianov} et al., in: Finite volumes for complex applications. V. Proceedings of the 5th International Symposium, Aussois, June 2008. London: ISTE. 161--168 (2008; Zbl 1422.65200)
Coclite, Giuseppe Maria; Karlsen, Kenneth H.; Risebro, Nils Henrik An explicit finite difference scheme for the Camassa-Holm equation. (English) Zbl 1191.35021 Adv. Differ. Equ. 13, No. 7-8, 681-732 (2008). Reviewer: Argiris I. Delis (Chania) MSC: 35A35 35G25 35L05 65M06 65M12 35Q35 PDFBibTeX XMLCite \textit{G. M. Coclite} et al., Adv. Differ. Equ. 13, No. 7--8, 681--732 (2008; Zbl 1191.35021) Full Text: arXiv
Coclite, G. M.; Karlsen, K. H.; Risebro, N. H. A convergent finite difference scheme for the Camassa–Holm equation with general \(H^1\) initial data. (English) Zbl 1172.35310 SIAM J. Numer. Anal. 46, No. 3, 1554-1579 (2008). Reviewer: Qin Mengzhao (Beijing) MSC: 35A35 35Q51 35G25 35Q53 65M06 65M12 PDFBibTeX XMLCite \textit{G. M. Coclite} et al., SIAM J. Numer. Anal. 46, No. 3, 1554--1579 (2008; Zbl 1172.35310) Full Text: DOI
Jakobsen, Espen R.; Karlsen, Kenneth H.; La Chioma, Claudia Error estimates for approximate solutions to Bellman equations associated with controlled jump-diffusions. (English) Zbl 1153.65125 Numer. Math. 110, No. 2, 221-255 (2008). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65R20 45K05 49L25 PDFBibTeX XMLCite \textit{E. R. Jakobsen} et al., Numer. Math. 110, No. 2, 221--255 (2008; Zbl 1153.65125) Full Text: DOI Link
Biswas, Imran H.; Jakobsen, Espen R.; Karlsen, Kenneth H. Error estimates for a class of finite difference-quadrature schemes for fully nonlinear degenerate parabolic integro-PDEs. (English) Zbl 1170.65102 J. Hyperbolic Differ. Equ. 5, No. 1, 187-219 (2008). Reviewer: Josef Kofroň (Praha) MSC: 65R20 45K05 49L25 PDFBibTeX XMLCite \textit{I. H. Biswas} et al., J. Hyperbolic Differ. Equ. 5, No. 1, 187--219 (2008; Zbl 1170.65102) Full Text: DOI
Bürger, Raimund; García, Antonio; Karlsen, Kenneth H.; Towers, John D. Difference schemes, entropy solutions, and speedup impulse for an inhomogeneous kinematic traffic flow model. (English) Zbl 1173.35586 Netw. Heterog. Media 3, No. 1, 1-41 (2008). Reviewer: Argiris I. Delis (Chania) MSC: 35L65 65M06 90B20 35L45 PDFBibTeX XMLCite \textit{R. Bürger} et al., Netw. Heterog. Media 3, No. 1, 1--41 (2008; Zbl 1173.35586) Full Text: DOI
Coclite, G. M.; Karlsen, K. H.; Risebro, N. H. Numerical schemes for computing discontinuous solutions of the Degasperis-Procesi equation. (English) Zbl 1246.76114 IMA J. Numer. Anal. 28, No. 1, 80-105 (2008). MSC: 76M20 76B15 65M06 35Q53 65M12 35D30 PDFBibTeX XMLCite \textit{G. M. Coclite} et al., IMA J. Numer. Anal. 28, No. 1, 80--105 (2008; Zbl 1246.76114) Full Text: DOI
Biswas, Imran H.; Jakobsen, Espen R.; Karlsen, Kenneth H. Error estimates for finite difference-quadrature schemes for a class of nonlocal Bellman equations with variable diffusion. (English) Zbl 1125.65362 Chen, Gui-Qiang (ed.) et al., Stochastic analysis and partial differential equations. Emphasis year 2004–2005 on stochastic analysis and partial differential equations, Evanston, IL, USA. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4059-7/pbk). Contemporary Mathematics 429, 19-31 (2007). MSC: 65R20 45G10 45K05 49J22 49L25 65K10 PDFBibTeX XMLCite \textit{I. H. Biswas} et al., Contemp. Math. 429, 19--31 (2007; Zbl 1125.65362)
Holden, H.; Karlsen, K. H.; Risebro, N. H. Convergent difference schemes for the Hunter–Saxton equation. (English) Zbl 1114.65101 Math. Comput. 76, No. 258, 699-744 (2007). Reviewer: Qin Mengzhao (Beijing) MSC: 65M06 65M12 35A35 35D05 76A15 82D30 PDFBibTeX XMLCite \textit{H. Holden} et al., Math. Comput. 76, No. 258, 699--744 (2007; Zbl 1114.65101) Full Text: DOI
Bürger, R.; Garcia, A.; Karlsen, K. H.; Towers, J. D. On an extended clarifier-thickener model with singular source and sink terms. (English) Zbl 1201.35130 Eur. J. Appl. Math. 17, No. 3, 257-292 (2006). MSC: 35L60 76M20 76T20 65M06 PDFBibTeX XMLCite \textit{R. Bürger} et al., Eur. J. Appl. Math. 17, No. 3, 257--292 (2006; Zbl 1201.35130) Full Text: DOI
Hanslien, Monica; Karlsen, Kenneth H.; Tveito, Aslak On a finite difference scheme for a Beeler-Reuter based model of cardiac electrical activity. (English) Zbl 1162.92312 Int. J. Numer. Anal. Model. 3, No. 4, 395-412 (2006). MSC: 92C50 78A70 35Q92 65M06 35K57 PDFBibTeX XMLCite \textit{M. Hanslien} et al., Int. J. Numer. Anal. Model. 3, No. 4, 395--412 (2006; Zbl 1162.92312) Full Text: Link
Chen, Gui-Qiang; Karlsen, Kenneth H. \(L^1\)-framework for continuous dependence and error estimates for quasilinear anisotropic degenerate parabolic equations. (English) Zbl 1096.35072 Trans. Am. Math. Soc. 358, No. 3, 937-963 (2006). Reviewer: Shigeru Sakaguchi (Ehime) MSC: 35K65 35L65 35B35 35K55 35K15 65M15 PDFBibTeX XMLCite \textit{G.-Q. Chen} and \textit{K. H. Karlsen}, Trans. Am. Math. Soc. 358, No. 3, 937--963 (2006; Zbl 1096.35072) Full Text: DOI
Bürger, Raimund; Karlsen, Kenneth H.; Towers, John D. Closed-form and finite difference solutions to a population balance model of grinding mills. (English) Zbl 1097.74045 J. Eng. Math. 51, No. 2, 165-195 (2005). MSC: 74M15 74H05 74S20 80M20 65M06 82C70 92D25 PDFBibTeX XMLCite \textit{R. Bürger} et al., J. Eng. Math. 51, No. 2, 165--195 (2005; Zbl 1097.74045) Full Text: DOI Link
Hanslien, Monica; Karlsen, Kenneth H.; Tveito, Aslak A maximum principle for an explicit finite difference scheme approximating the Hodgkin-Huxley model. (English) Zbl 1099.65069 BIT 45, No. 4, 725-741 (2005). Reviewer: Vit Dolejsi (Praha) MSC: 65M06 35B50 35K60 65F20 65M12 PDFBibTeX XMLCite \textit{M. Hanslien} et al., BIT 45, No. 4, 725--741 (2005; Zbl 1099.65069) Full Text: DOI
Bürger, R.; Karlsen, K. H.; Risebro, N. H. A relaxation scheme for continuous sedimentation in ideal clarifier-thickener units. (English) Zbl 1122.76063 Comput. Math. Appl. 50, No. 7, 993-1009 (2005). MSC: 76M20 76T20 65M06 PDFBibTeX XMLCite \textit{R. Bürger} et al., Comput. Math. Appl. 50, No. 7, 993--1009 (2005; Zbl 1122.76063) Full Text: DOI
Jakobsen, E. R.; Karlsen, K. H. Convergence rates for semi-discrete splitting approximations for degenerate parabolic equations with source teams. (English) Zbl 1079.65094 BIT 45, No. 1, 37-67 (2005). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M12 65M06 35L60 65M20 35K65 49J25 PDFBibTeX XMLCite \textit{E. R. Jakobsen} and \textit{K. H. Karlsen}, BIT 45, No. 1, 37--67 (2005; Zbl 1079.65094) Full Text: DOI
Bürger, Raimund; Karlsen, Kenneth H.; Towers, John D. A model of continuous sedimentation of flocculated suspensions in clarifier-thickener units. (English) Zbl 1089.76061 SIAM J. Appl. Math. 65, No. 3, 882-940 (2005). MSC: 76T20 76M20 65M12 35Q35 PDFBibTeX XMLCite \textit{R. Bürger} et al., SIAM J. Appl. Math. 65, No. 3, 882--940 (2005; Zbl 1089.76061) Full Text: DOI
Benth, F. E.; Karlsen, K. H.; Reikvam, K. A semilinear Black and Scholes partial differential equation for valuing American options: approximate solutions and convergence. (English) Zbl 1068.35190 Interfaces Free Bound. 6, No. 4, 379-404 (2004). Reviewer: Stanisław Wedrychowicz (Rzeszów) MSC: 35R60 91B28 65C30 PDFBibTeX XMLCite \textit{F. E. Benth} et al., Interfaces Free Bound. 6, No. 4, 379--404 (2004; Zbl 1068.35190) Full Text: DOI
Karlsen, K. H.; Towers, J. D. Convergence of the Lax-Friedrichs scheme and stability for conservation laws with a discontinuous space-time dependent flux. (English) Zbl 1112.65085 Chin. Ann. Math., Ser. B 25, No. 3, 287-318 (2004). Reviewer: Andreas Meister (Kassel) MSC: 65M12 35L65 PDFBibTeX XMLCite \textit{K. H. Karlsen} and \textit{J. D. Towers}, Chin. Ann. Math., Ser. B 25, No. 3, 287--318 (2004; Zbl 1112.65085) Full Text: DOI
Karlsen, K. H.; Klingenberg, C.; Risebro, N. H. A relaxation scheme for conservation laws with a discontinuous coefficient. (English) Zbl 1078.65076 Math. Comput. 73, No. 247, 1235-1259 (2004). Reviewer: Mária Lukáčová (Hamburg) MSC: 65M06 65M12 35L65 35L45 35R05 PDFBibTeX XMLCite \textit{K. H. Karlsen} et al., Math. Comput. 73, No. 247, 1235--1259 (2004; Zbl 1078.65076) Full Text: DOI
Bürger, R.; Karlsen, K. H.; Risebro, N. H.; Towers, J. D. Well-posedness in \(BV_t\) and convergence of a difference scheme for continuous sedimentation in ideal clarifier-thickener units. (English) Zbl 1053.76047 Numer. Math. 97, No. 1, 25-65 (2004). MSC: 76M20 76T20 65M12 65M06 35L65 35R05 PDFBibTeX XMLCite \textit{R. Bürger} et al., Numer. Math. 97, No. 1, 25--65 (2004; Zbl 1053.76047) Full Text: DOI
Berres, S.; Bürger, R.; Karlsen, K. H. Central schemes and systems of conservation laws with discontinuous coefficients modeling gravity separation of polydisperse suspensions. (English) Zbl 1107.76366 J. Comput. Appl. Math. 164-165, 53-80 (2004). MSC: 76M20 65M06 76E30 76T20 PDFBibTeX XMLCite \textit{S. Berres} et al., J. Comput. Appl. Math. 164--165, 53--80 (2004; Zbl 1107.76366) Full Text: DOI
Benth, Fred E.; Dahl, Lars O.; Karlsen, Kenneth H. Quasi Monte-Carlo evaluation of sensitivities of options in commodity and energy markets. (English) Zbl 1079.91527 Int. J. Theor. Appl. Finance 6, No. 8, 865-884 (2003). MSC: 91G60 91G20 60H07 60J60 65C05 PDFBibTeX XMLCite \textit{F. E. Benth} et al., Int. J. Theor. Appl. Finance 6, No. 8, 865--884 (2003; Zbl 1079.91527) Full Text: DOI
Karlsen, K. H.; Klingenberg, C.; Risebro, N. H. Relaxation schemes for conservation laws with discontinuous coefficients. (English) Zbl 1064.65095 Hou, Thomas Y. (ed.) et al., Hyperbolic problems: Theory, numerics, applications. Proceedings of the ninth international conference on hyperbolic problems, Pasadena, CA, USA, March 25–29, 2002. Berlin: Springer (ISBN 3-540-44333-9/hbk). 611-620 (2003). MSC: 65M06 35L65 65M12 PDFBibTeX XMLCite \textit{K. H. Karlsen} et al., in: Hyperbolic problems: Theory, numerics, applications. Proceedings of the ninth international conference on hyperbolic problems, Pasadena, CA, USA, March 25--29, 2002. Berlin: Springer. 611--620 (2003; Zbl 1064.65095)
Holden, Helge; Karlsen, Kenneth H.; Risebro, Nils H. On uniqueness and existence of entropy solutions of weakly coupled systems of nonlinear degenerate parabolic equations. (English) Zbl 1036.35102 Electron. J. Differ. Equ. 2003, Paper No. 46, 31 p. (2003). Reviewer: Vladimir N. Grebenev (Novosibirsk) MSC: 35K65 65M12 35L65 35K15 PDFBibTeX XMLCite \textit{H. Holden} et al., Electron. J. Differ. Equ. 2003, Paper No. 46, 31 p. (2003; Zbl 1036.35102) Full Text: EuDML EMIS
Berres, Stefan; Bürger, Raimund; Karlsen, Kenneth H.; Tory, Elmer M. Strongly degenerate parabolic-hyperbolic systems modeling polydisperse sedimentation with compression. (English) Zbl 1047.35071 SIAM J. Appl. Math. 64, No. 1, 41-80 (2003). Reviewer: Asaf D. Iskenderov (Baku) MSC: 35K65 35L40 35L65 65M06 86A05 76T20 PDFBibTeX XMLCite \textit{S. Berres} et al., SIAM J. Appl. Math. 64, No. 1, 41--80 (2003; Zbl 1047.35071) Full Text: DOI
Bürger, R.; Karlsen, K. H.; Klingenberg, C.; Risebro, N. H. A front tracking approach to a model of continuous sedimentation in ideal clarifier-thickener units. (English) Zbl 1013.35052 Nonlinear Anal., Real World Appl. 4, No. 3, 457-481 (2003). Reviewer: Thomas Sonar (Braunschweig) MSC: 35L65 65M99 86A05 PDFBibTeX XMLCite \textit{R. Bürger} et al., Nonlinear Anal., Real World Appl. 4, No. 3, 457--481 (2003; Zbl 1013.35052) Full Text: DOI
Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik Unconditionally stable methods for Hamilton-Jacobi equations. (English) Zbl 1143.65365 J. Comput. Phys. 180, No. 2, 710-735 (2002). MSC: 65M06 35F25 PDFBibTeX XMLCite \textit{K. H. Karlsen} and \textit{N. H. Risebro}, J. Comput. Phys. 180, No. 2, 710--735 (2002; Zbl 1143.65365) Full Text: DOI
Karlsen, K. H.; Risebro, N. H.; Towers, J. D. Upwind difference approximations for degenerate parabolic convection-diffusion equations with a discontinuous coefficient. (English) Zbl 1014.65073 IMA J. Numer. Anal. 22, No. 4, 623-664 (2002). Reviewer: Xavier Antoine (Toulouse Cedex) MSC: 65M06 65M12 35K65 35R05 PDFBibTeX XMLCite \textit{K. H. Karlsen} et al., IMA J. Numer. Anal. 22, No. 4, 623--664 (2002; Zbl 1014.65073) Full Text: DOI Link
Evje, Steinar; Karlsen, Kenneth H. An error estimate for viscous approximate solutions of degenerate parabolic equations. (English) Zbl 1183.35180 J. Nonlinear Math. Phys. 9, No. 3, 262-281 (2002). MSC: 35K65 35A35 35K55 65M15 PDFBibTeX XMLCite \textit{S. Evje} and \textit{K. H. Karlsen}, J. Nonlinear Math. Phys. 9, No. 3, 262--281 (2002; Zbl 1183.35180) Full Text: DOI arXiv Link
Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik Convergence of finite difference schemes for viscous and inviscid conservation laws with rough coefficients. (English) Zbl 1032.76048 M2AN, Math. Model. Numer. Anal. 35, No. 2, 239-269 (2001). MSC: 76M20 76N15 65M06 35L65 PDFBibTeX XMLCite \textit{K. H. Karlsen} and \textit{N. H. Risebro}, M2AN, Math. Model. Numer. Anal. 35, No. 2, 239--269 (2001; Zbl 1032.76048) Full Text: DOI Numdam EuDML
Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Risebro, Nils Henrik Operator splitting for convection-dominated nonlinear partial differential equations. (English) Zbl 0989.65093 Toro, E. F. (ed.), Godunov methods. Theory and applications. International conference, Oxford, GB, October 1999. New York, NY: Kluwer Academic/ Plenum Publishers. 469-475 (2001). MSC: 65M06 35L65 PDFBibTeX XMLCite \textit{H. Holden} et al., in: Godunov methods. Theory and applications. International conference, Oxford, GB, October 1999. New York, NY: Kluwer Academic/ Plenum Publishers. 469--475 (2001; Zbl 0989.65093)
Fjelde, Kjell Kåre; Karlsen, Kenneth Hvistendahl A hybrid primitive-conservative upwind scheme for the drift flux model. (English) Zbl 1064.76563 Toro, E. F. (ed.), Godunov methods. Theory and applications. International conference, Oxford, GB, October 1999. New York, NY: Kluwer Academic/ Plenum Publishers (ISBN 0-306-46601-5). 319-326 (2001). MSC: 76M20 65M06 PDFBibTeX XMLCite \textit{K. K. Fjelde} and \textit{K. H. Karlsen}, in: Godunov methods. Theory and applications. International conference, Oxford, GB, October 1999. New York, NY: Kluwer Academic/ Plenum Publishers. 319--326 (2001; Zbl 1064.76563)
Karlsen, K. Hvistendahl; Lie, K.-A.; Natvig, J. R.; Nordhaug, H. F.; Dahle, H. K. Operator splitting methods for systems of convection-diffusion equations: nonlinear error mechanisms and correction strategies. (English) Zbl 1051.76046 J. Comput. Phys. 173, No. 2, 636-663 (2001). MSC: 76M20 65M06 PDFBibTeX XMLCite \textit{K. H. Karlsen} et al., J. Comput. Phys. 173, No. 2, 636--663 (2001; Zbl 1051.76046) Full Text: DOI
Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas Operator splitting methods for degenerate convection-diffusion equations. II: Numerical examples with emphasis on reservoir simulation and sedimentation. (English) Zbl 1049.35113 Comput. Geosci. 4, No. 4, 287-322 (2000). MSC: 35K65 35L65 65M06 76T99 PDFBibTeX XMLCite \textit{H. Holden} et al., Comput. Geosci. 4, No. 4, 287--322 (2000; Zbl 1049.35113) Full Text: DOI
Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas Operator splitting methods for degenerate convection-diffusion equations. I: Convergence and entropy estimates. (English) Zbl 0974.35065 Gesztesy, Fritz (ed.) et al., Stochastic processes, physics and geometry: New interplays. II. A volume in honor of Sergio Albeverio. Proceedings of the conference on infinite dimensional (stochastic) analysis and quantum physics, Leipzig, Germany, January 18-22, 1999. Providence, RI: American Mathematical Society (AMS). CMS Conf. Proc. 29, 293-316 (2000). Reviewer: A.Meister (Hamburg) MSC: 35K65 35L65 65M06 35A35 PDFBibTeX XMLCite \textit{H. Holden} et al., CMS Conf. Proc. 29, 293--316 (2000; Zbl 0974.35065)
Espedal, Magne S.; Karlsen, Kenneth Hvistendahl Numerical solution of reservoir flow models based on large time step operator splitting algorithms. (English) Zbl 1077.76546 Fasano, A. (ed.), Filtration in porous media and industrial application. Lectures given at the 4th session of the Centro Internazionale Matematico Estivo (C. I. M. E.), Cetraro, Italy, August 24–29, 1998. Berlin: Springer (ISBN 3-540-67868-9). Lect. Notes Math. 1734, 9-77 (2000). MSC: 76M25 65M70 76S05 86-08 86A05 PDFBibTeX XMLCite \textit{M. S. Espedal} and \textit{K. H. Karlsen}, Lect. Notes Math. 1734, 9--77 (2000; Zbl 1077.76546)
Evje, Steinar; Karlsen, Kenneth Hvistendahl Discrete approximations of \(BV\) solutions to doubly nonlinear degenerate parabolic equations. (English) Zbl 0963.65094 Numer. Math. 86, No. 3, 377-417 (2000). Reviewer: Ll.G.Chambers (Bangor) MSC: 65M06 35K60 35K65 35L65 76L05 65M12 PDFBibTeX XMLCite \textit{S. Evje} and \textit{K. H. Karlsen}, Numer. Math. 86, No. 3, 377--417 (2000; Zbl 0963.65094) Full Text: DOI
Bürger, R.; Karlsen, K. Hvistendahl Analysis and numerics of strongly degenerate convection-diffusion problems modelling sedimentation-consolidation processes. (English) Zbl 0959.65101 Whiteman, J. R. (ed.), The mathematics of finite elements and applications X, MAFELAP 1999. Proceedings of the 10th conference, Brunel Univ., Uxbridge, Middlesex, GB, June 22-25, 1999. Amsterdam: Elsevier. 215-224 (2000). MSC: 65M06 35M10 86A60 35K55 35K65 PDFBibTeX XMLCite \textit{R. Bürger} and \textit{K. H. Karlsen}, in: The mathematics of finite elements and applications X, MAFELAP 1999. Proceedings of the 10th conference, Brunel Univ., Uxbridge, Middlesex, GB, June 22--25, 1999. Amsterdam: Elsevier. 215--224 (2000; Zbl 0959.65101)
Evje, Steinar; Karlsen, Kenneth Hvistendahl Monotone difference approximations of BV solutions to degenerate convection-diffusion equations. (English) Zbl 0985.65100 SIAM J. Numer. Anal. 37, No. 6, 1838-1860 (2000). Reviewer: Raico R.D.Lazarov (College Station) MSC: 65M06 65M12 35K65 35L65 PDFBibTeX XMLCite \textit{S. Evje} and \textit{K. H. Karlsen}, SIAM J. Numer. Anal. 37, No. 6, 1838--1860 (2000; Zbl 0985.65100) Full Text: DOI
Evje, S.; Karlsen, K. Hvistendahl; Lie, K. A.; Risebro, N. H. Front tracking and operator splitting for nonlinear degenerate convection-diffusion equations. (English) Zbl 0961.65073 Bjørstad, Petter (ed.) et al., Parallel solution of partial differential equations. Proceedings of a workshop, Univ. of Minnesota, Minneapolis, MN, USA, June 9-13, 1997. New York, NY: Springer. IMA Vol. Math. Appl. 120, 209-227 (2000). MSC: 65M06 35K65 35L80 65M12 35K55 35L70 35M10 PDFBibTeX XMLCite \textit{S. Evje} et al., IMA Vol. Math. Appl. 120, 209--227 (2000; Zbl 0961.65073)
Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas An unconditionally stable splitting scheme for a class of nonlinear parabolic equations. (English) Zbl 0949.65089 IMA J. Numer. Anal. 19, No. 4, 609-635 (1999). Reviewer: J.Vaníček (Praha) MSC: 65M06 65M12 35K57 PDFBibTeX XMLCite \textit{K. H. Karlsen} and \textit{K.-A. Lie}, IMA J. Numer. Anal. 19, No. 4, 609--635 (1999; Zbl 0949.65089) Full Text: DOI Link
Evje, Steinar; Karlsen, Kenneth Hvistendahl Viscous splitting approximation of mixed hyperbolic-parabolic convection-diffusion equations. (English) Zbl 0961.65084 Numer. Math. 83, No. 1, 107-137 (1999). MSC: 65M20 35K55 35M10 35L80 35K65 35L70 65M06 65M12 PDFBibTeX XMLCite \textit{S. Evje} and \textit{K. H. Karlsen}, Numer. Math. 83, No. 1, 107--137 (1999; Zbl 0961.65084) Full Text: DOI
Holden, Helge; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik Operator splitting methods for generalized Korteweg-de Vries equations. (English) Zbl 0947.65102 J. Comput. Phys. 153, No. 1, 203-222 (1999). Reviewer: P.Brenner (Göteborg) MSC: 65M20 35Q53 65M12 PDFBibTeX XMLCite \textit{H. Holden} et al., J. Comput. Phys. 153, No. 1, 203--222 (1999; Zbl 0947.65102) Full Text: DOI
Evje, Steinar; Karlsen, Kenneth Hvistendahl Degenerate convection-diffusion equations and implicit monotone difference schemes. (English) Zbl 0931.65094 Fey, Michael (ed.) et al., Hyperbolic problems: Theory, numerics, applications. Proceedings of the 7th international conference, Zürich, Switzerland, February 1998. Vol. I. Basel: Birkhäuser. ISNM, Int. Ser. Numer. Math. 129, 285-294 (1999). MSC: 65M06 65M12 35K55 35K65 PDFBibTeX XMLCite \textit{S. Evje} and \textit{K. H. Karlsen}, ISNM, Int. Ser. Numer. Math. 129, 285--294 (1999; Zbl 0931.65094)
Brusdal, K.; Dahle, H. K.; Karlsen, K. Hvistendahl; Mannseth, T. A study of the modelling error in two operator splitting algorithms for porous media flow. (English) Zbl 0942.76054 Comput. Geosci. 2, No. 1, 23-36 (1998). MSC: 76M25 76S05 65M15 PDFBibTeX XMLCite \textit{K. Brusdal} et al., Comput. Geosci. 2, No. 1, 23--36 (1998; Zbl 0942.76054) Full Text: DOI
Lie, K.-A.; Haugse, V.; Karlsen, K. Hvistendahl Dimensional splitting with front tracking and adaptive grid refinement. (English) Zbl 0923.65061 Numer. Methods Partial Differ. Equations 14, No. 5, 627-648 (1998). Reviewer: E.Emmrich (Berlin) MSC: 65M50 35L65 65M06 65M15 PDFBibTeX XMLCite \textit{K. A. Lie} et al., Numer. Methods Partial Differ. Equations 14, No. 5, 627--648 (1998; Zbl 0923.65061) Full Text: DOI