Edit Profile (opens in new tab) Karlsen, Kenneth Hvistendahl Co-Author Distance Author ID: karlsen.kenneth-hvistendahl Published as: Karlsen, Kenneth H.; Karlsen, K. H.; Karlsen, Kenneth Hvistendahl; Karlsen, K. Hvistendahl; Karlsen, Kenneth Hvistendal more...less Homepage: https://www.mn.uio.no/math/english/people/aca/kennethk/index.html External Links: MGP · ORCID · Wikidata · dblp · GND · IdRef Documents Indexed: 202 Publications since 1997, including 1 Book and 8 Additional arXiv Preprints 5 Contributions as Editor Co-Authors: 78 Co-Authors with 206 Joint Publications 2,111 Co-Co-Authors all top 5 Co-Authors 1 single-authored 47 Risebro, Nils Henrik 32 Bürger, Raimund 25 Holden, Helge 24 Coclite, Giuseppe Maria 23 Towers, John D. 19 Bendahmane, Mostafa 13 Evje, Steinar 13 Jakobsen, Espen Robstad 11 Benth, Fred Espen 11 Lie, Knut-Andreas 9 Mishra, Siddhartha 8 Reikvam, Kristin 7 Storrøsten, Erlend Briseid 6 Andreianov, Boris 6 Karper, Trygve Klovning 6 Pang, Peter H. C. 5 Biswas, Imran H. 4 Chen, Gui-Qiang G. 4 Dahle, Helge K. 4 Frid, Hermano 4 Galimberti, Luca 3 Fjelde, Kjell Kåre 3 Klingenberg, Christian 3 Mitrovic, Darko 3 Tory, Elmer M. 3 Ulusoy, Suleyman 2 Berre, Inga 2 Berres, Stefan 2 Betancourt, Fernando 2 Brusdal, Kari 2 Cifani, Simone 2 Colombo, Rinaldo M. 2 Di Ruvo, Lorenzo 2 Hanslien, Monica 2 Hoel, Hakon A. 2 La Chioma, Claudia 2 Lagoutière, Frédéric 2 Mannseth, Trond 2 Marson, Andrea 2 Natvig, Jostein Roald 2 Nordhaug, Hans F. 2 Rybalko, Yan 2 Tveito, Aslak 1 Amadori, Anna Lisa 1 Concha, Fernando 1 Dahl, Lars O. 1 Ding, Qian 1 Erceg, Marko 1 Espedal, Magne S. 1 Fjordholm, Ulrik Skre 1 Fuchs, Franz Georg 1 Grandelius, Erik 1 Guan, Chunxia 1 Haugse, V. 1 Höfler, Kai 1 Kissling, Frederike 1 Koley, Ujjwal 1 Kunzinger, Michael 1 Kwon, Young-Sam 1 Majee, Ananta K. 1 Marroquin, Daniel R. 1 Mroue, Fatima 1 Nilssen, Trygve K. 1 Ohlberger, Mario 1 Ouaro, Stanislas 1 Panov, Evgeniy Yu. 1 Petitta, Francesco 1 Pierre, Charles 1 Rascle, Michel 1 Saad, Mazen 1 Tadmor, Eitan 1 Tai, Xuecheng 1 Tao, Terence 1 Torres, Héctor 1 Urbano, José Miguel 1 Wallin, Olli 1 Wendland, Wolfgang L. 1 Yin, Zhaoyang all top 5 Serials 11 Networks and Heterogeneous Media 10 Journal of Differential Equations 8 Numerische Mathematik 7 IMA Journal of Numerical Analysis 7 Journal of Engineering Mathematics 7 Mathematics of Computation 7 SIAM Journal on Numerical Analysis 6 Journal of Hyperbolic Differential Equations 5 Journal of Functional Analysis 5 SIAM Journal on Mathematical Analysis 5 Electronic Journal of Differential Equations (EJDE) 5 Computational Geosciences 4 Journal of Mathematical Analysis and Applications 4 Communications on Pure and Applied Analysis 3 Journal of Computational Physics 3 BIT 3 Stochastic Processes and their Applications 3 Discrete and Continuous Dynamical Systems 3 Finance and Stochastics 2 Archive for Rational Mechanics and Analysis 2 Transactions of the American Mathematical Society 2 Chinese Annals of Mathematics. Series B 2 Applied Numerical Mathematics 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 SIAM Journal on Applied Mathematics 2 Stochastics and Stochastics Reports 2 Advances in Differential Equations 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 International Journal of Theoretical and Applied Finance 2 Interfaces and Free Boundaries 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Communications in Mathematical Sciences 2 International Journal of Numerical Analysis and Modeling 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Bollettino dell’Unione Matematica Italiana. Series IX 1 Computers and Fluids 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 Nonlinearity 1 Applied Mathematics and Optimization 1 Journal of Computational and Applied Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Stochastic Analysis and Applications 1 Numerical Methods for Partial Differential Equations 1 Mathematical and Computer Modelling 1 Publicacions Matemàtiques 1 European Journal of Applied Mathematics 1 Communications in Partial Differential Equations 1 Potential Analysis 1 NoDEA. Nonlinear Differential Equations and Applications 1 Skrifter. Det Kongelige Norske Videnskabers Selskab 1 Computing and Visualization in Science 1 Mathematical Finance 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Journal of Nonlinear Mathematical Physics 1 Nonlinear Analysis. Real World Applications 1 Mediterranean Journal of Mathematics 1 Stochastics 1 Contemporary Mathematics 1 Scientia. Series A: Mathematical Sciences. New Series 1 Abel Symposia 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 International Journal of Dynamical Systems and Differential Equations 1 International Journal of Differential Equations 1 Advances in Applied Mathematics and Mechanics 1 Springer Proceedings in Mathematics & Statistics 1 Stochastic and Partial Differential Equations. Analysis and Computations 1 EMS Series of Lectures in Mathematics all top 5 Fields 158 Partial differential equations (35-XX) 88 Numerical analysis (65-XX) 59 Fluid mechanics (76-XX) 24 Probability theory and stochastic processes (60-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 12 Biology and other natural sciences (92-XX) 9 Integral equations (45-XX) 9 Mechanics of deformable solids (74-XX) 7 Geophysics (86-XX) 6 Systems theory; control (93-XX) 5 General and overarching topics; collections (00-XX) 5 Operations research, mathematical programming (90-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Operator theory (47-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Mechanics of particles and systems (70-XX) 2 Optics, electromagnetic theory (78-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 178 Publications have been cited 3,604 times in 1,916 Documents Cited by ▼ Year ▼ On the well-posedness of the Degasperis-Procesi equation. Zbl 1090.35142 Coclite, Giuseppe M.; Karlsen, Kenneth H. 142 2006 Global weak solutions to a generalized hyperelastic-rod wave equation. Zbl 1100.35106 Coclite, G. M.; Holden, H.; Karlsen, K. H. 99 2005 A theory of \(L ^{1}\)-dissipative solvers for scalar conservation laws with discontinuous flux. Zbl 1261.35088 Andreianov, Boris; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik 96 2011 Strongly degenerate parabolic-hyperbolic systems modeling polydisperse sedimentation with compression. Zbl 1047.35071 Berres, Stefan; Bürger, Raimund; Karlsen, Kenneth H.; Tory, Elmer M. 85 2003 \(L^1\) stability for entropy solutions of nonlinear degenerate parabolic convection-diffusion equations with discontinuous coefficients. Zbl 1036.35104 Karlsen, K. H.; Risebro, N. H.; Towers, J. D. 79 2003 Global existence of weak solutions for a viscous two-phase model. Zbl 1148.76056 Evje, Steinar; Karlsen, Kenneth H. 78 2008 Splitting methods for partial differential equations with rough solutions. Analysis and Matlab programs. Zbl 1191.35005 Holden, Helge; Karlsen, Kenneth H.; Lie, Knut-Andreas; Risebro, Nils Henrik 75 2010 On the uniqueness and stability of entropy solutions of nonlinear degenerate parabolic equations with rough coefficients. Zbl 1027.35057 Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik 74 2003 Wellposedness for a parabolic-elliptic system. Zbl 1082.35056 Coclite, Giuseppe Maria; Holden, Helge; Karlsen, Kenneth Hvistendahl 73 2005 Convergence of the Lax-Friedrichs scheme and stability for conservation laws with a discontinuous space-time dependent flux. Zbl 1112.65085 Karlsen, K. H.; Towers, J. D. 70 2004 Upwind difference approximations for degenerate parabolic convection-diffusion equations with a discontinuous coefficient. Zbl 1014.65073 Karlsen, K. H.; Risebro, N. H.; Towers, J. D. 65 2002 Well-posedness in \(BV_t\) and convergence of a difference scheme for continuous sedimentation in ideal clarifier-thickener units. Zbl 1053.76047 Bürger, R.; Karlsen, K. H.; Risebro, N. H.; Towers, J. D. 64 2004 On nonlocal conservation laws modelling sedimentation. Zbl 1381.76368 Betancourt, F.; Bürger, R.; Karlsen, K. H.; Tory, E. M. 63 2011 A “maximum principle for semicontinuous functions” applicable to integro-partial differential equations. Zbl 1105.45006 Jakobsen, Espen R.; Karlsen, Kenneth H. 59 2006 On nonlinear stochastic balance laws. Zbl 1261.60062 Chen, Gui-Qiang; Ding, Qian; Karlsen, Kenneth H. 59 2012 Continuous dependence estimates for viscosity solutions of integro-PDEs. Zbl 1082.45008 Jakobsen, Espen R.; Karlsen, Kenneth H. 57 2005 An Engquist-Osher-type scheme for conservation laws with discontinuous flux adapted to flux connections. Zbl 1201.35022 Bürger, Raimund; Karlsen, Kenneth H.; Towers, John D. 53 2009 Analysis of a class of degenerate reaction-diffusion systems and the bidomain model of cardiac tissue. Zbl 1179.35162 Bendahmane, Mostafa; Karlsen, Kenneth H. 48 2006 Operator splitting for the KdV equation. Zbl 1219.35235 Holden, Helge; Karlsen, Kenneth H.; Risebro, Nils Henrik; Tao, Terence 47 2011 Global weak solutions for a viscous liquid-gas model with singular pressure law. Zbl 1175.76143 Evje, Steinar; Karlsen, Kenneth Hvistendahl 47 2009 Optimal portfolio selection with consumption and nonlinear integro-differential equations with gradient constraint: A viscosity solution approach. Zbl 0978.91039 Benth, Fred Espen; Karlsen, Kenneth Hvistendahl; Reikvam, Kristin 46 2001 Renormalized solutions of an anisotropic reaction-diffusion-advection system with \(L^1\) data. Zbl 1134.35371 Bendahmane, Mostafa; Karlsen, Kenneth H. 46 2006 Renormalized entropy solutions for quasi-linear anisotropic degenerate parabolic equations. Zbl 1090.35104 Bendahmane, Mostafa; Karlsen, Kenneth H. 44 2004 A family of numerical schemes for kinematic flows with discontinuous flux. Zbl 1200.76126 Bürger, R.; García, A.; Karlsen, K. H.; Towers, J. D. 43 2008 Monotone difference approximations of BV solutions to degenerate convection-diffusion equations. Zbl 0985.65100 Evje, Steinar; Karlsen, Kenneth Hvistendahl 43 2000 A model of continuous sedimentation of flocculated suspensions in clarifier-thickener units. Zbl 1089.76061 Bürger, Raimund; Karlsen, Kenneth H.; Towers, John D. 43 2005 Well-posedness and blow-up phenomena for a modified two-component Camassa-Holm equation. Zbl 1213.35133 Guan, Chunxia; Karlsen, Kenneth H.; Yin, Zhaoyang 42 2010 Quasilinear anisotropic degenerate parabolic equations with time-space dependent diffusion coefficients. Zbl 1084.35034 Chen, Gui-Qiang; Karlsen, Kenneth H. 38 2005 Well-posedness of higher-order Camassa-Holm equations. Zbl 1186.35003 Coclite, G. M.; Holden, H.; Karlsen, K. H. 38 2009 Discrete duality finite volume schemes for doubly nonlinear degenerate hyperbolic-parabolic equations. Zbl 1207.35020 Andreianov, B.; Bendahmane, M.; Karlsen, K. H. 35 2010 Operator splitting methods for generalized Korteweg-de Vries equations. Zbl 0947.65102 Holden, Helge; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik 35 1999 Convergence of finite difference schemes for viscous and inviscid conservation laws with rough coefficients. Zbl 1032.76048 Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik 35 2001 Numerical schemes for computing discontinuous solutions of the Degasperis-Procesi equation. Zbl 1246.76114 Coclite, G. M.; Karlsen, K. H.; Risebro, N. H. 34 2008 On vanishing viscosity approximation of conservation laws with discontinuous flux. Zbl 1270.35305 Andreianov, Boris; Karlsen, Kenneth H.; Risebro, Nils H. 34 2010 Numerical solution of reservoir flow models based on large time step operator splitting algorithms. Zbl 1077.76546 Espedal, Magne S.; Karlsen, Kenneth Hvistendahl 32 2000 Viscosity solutions for a system of integro-PDEs and connections to optimal switching and control of jump-diffusion processes. Zbl 1197.49028 Biswas, Imran H.; Jakobsen, Espen R.; Karlsen, Kenneth H. 32 2010 A duality approach to the fractional Laplacian with measure data. Zbl 1208.35162 Karlsen, Kenneth H.; Petitta, Francesco; Ulusoy, Suleyman 30 2011 Well-posedness results for triply nonlinear degenerate parabolic equations. Zbl 1178.35212 Andreianov, B.; Bendahmane, M.; Karlsen, K. H.; Ouaro, S. 30 2009 A convergent finite difference scheme for the Camassa–Holm equation with general \(H^1\) initial data. Zbl 1172.35310 Coclite, G. M.; Karlsen, K. H.; Risebro, N. H. 29 2008 On the uniqueness of discontinuous solutions to the Degasperis-Procesi equation. Zbl 1133.35028 Coclite, Giuseppe M.; Karlsen, Kenneth H. 28 2007 A singular limit problem for conservation laws related to the Camassa–Holm shallow water equation. Zbl 1102.35010 Coclite, Giuseppe Maria; Karlsen, Kenneth Hvistendahl 28 2006 Initial-boundary value problems for conservation laws with source terms and the Degasperis-Procesi equation. Zbl 1180.35348 Coclite, G. M.; Karlsen, K. H.; Kwon, Y.-S. 27 2009 On strongly degenerate convection-diffusion problems modeling sedimentation-consolidation processes. Zbl 0961.35078 Bürger, R.; Evje, S.; Karlsen, K. Hvistendahl 26 2000 An operator splitting method for nonlinear convection-diffusion equations. Zbl 0882.35074 Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik 26 1997 A front tracking approach to a model of continuous sedimentation in ideal clarifier-thickener units. Zbl 1013.35052 Bürger, R.; Karlsen, K. H.; Klingenberg, C.; Risebro, N. H. 26 2003 A note on Merton’s portfolio selection problem for the Schwartz mean-reversion model. Zbl 1074.60068 Benth, Fred Espen; Karlsen, Kenneth Hvistendahl 25 2005 Nonlinear anisotropic elliptic and parabolic equations in \(\mathbb R^{N}\) with advection and lower order terms and locally integrable data. Zbl 1087.35035 Bendahmane, Mostafa; Karlsen, Kenneth H. 25 2005 Merton’s portfolio optimization problem in a Black and Scholes market with non-Gaussian stochastic volatility of Ornstein-Uhlenbeck type. Zbl 1049.91060 Benth, Fred Espen; Karlsen, Kenneth Hvistendahl; Reikvam, Kristin 25 2003 On a two-sidedly degenerate chemotaxis model with volume-filling effect. Zbl 1133.35061 Bendahmane, Mostafa; Karlsen, Kenneth H.; Urbano, José Miguel 24 2007 Operator splitting methods for systems of convection-diffusion equations: nonlinear error mechanisms and correction strategies. Zbl 1051.76046 Karlsen, K. Hvistendahl; Lie, K.-A.; Natvig, J. R.; Nordhaug, H. F.; Dahle, H. K. 24 2001 Optimal portfolio management rules in a non-Gaussian market with durability and intertemporal substitution. Zbl 1049.91059 Benth, Fred Espen; Karlsen, Kenneth Hvistendahl; Reikvam, Kristin 24 2001 Continuous dependence estimates for viscosity solutions of fully nonlinear degenerate parabolic equations. Zbl 1086.35061 Jakobsen, Espen R.; Karlsen, Kenneth H. 24 2002 An unconditionally stable splitting scheme for a class of nonlinear parabolic equations. Zbl 0949.65089 Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas 22 1999 Portfolio optimization in a Lévy market with intertemporal substitution and transaction costs. Zbl 1035.91027 Benth, Fred Espen; Karlsen, Kenneth Hvistendahl; Reikvam, Kristin 22 2002 Some wellposedness results for the Ostrovsky-Hunter equation. Zbl 1284.35131 Coclite, G. M.; Di Ruvo, L.; Karlsen, K. H. 22 2014 On the well-posedness of entropy solutions to conservation laws with a zero-flux boundary condition. Zbl 1160.35048 Bürger, Raimund; Frid, Hermano; Karlsen, Kenneth H. 21 2007 On a diffusively corrected kinematic-wave traffic flow model with changing road surface conditions. Zbl 1055.35071 Bürger, R.; Karlsen, K. H. 20 2003 \(L^1\)-framework for continuous dependence and error estimates for quasilinear anisotropic degenerate parabolic equations. Zbl 1096.35072 Chen, Gui-Qiang; Karlsen, Kenneth H. 20 2006 On a nonlinear degenerate parabolic transport-diffusion equation with a discontinuous coefficient. Zbl 1015.35049 Karlsen, Kenneth H.; Risebro, Nils H.; Towers, John D. 19 2002 A note on front tracking and the equivalence between viscosity solutions of Hamilton-Jacobi equations and entropy solutions of scalar conservation laws. Zbl 1010.35026 Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik 19 2002 Convergent difference schemes for the Hunter–Saxton equation. Zbl 1114.65101 Holden, H.; Karlsen, K. H.; Risebro, N. H. 18 2007 The corrected operator splitting approach applied to a nonlinear advection-diffusion problem. Zbl 0942.76047 Karlsen, K. Hvistendahl; Brusdal, K.; Dahle, H. K.; Evje, S.; Lie, K.-A. 18 1998 The discontinuous Galerkin method for fractional degenerate convection-diffusion equations. Zbl 1247.65128 Cifani, Simone; Jakobsen, Espen R.; Karlsen, Kenneth H. 18 2011 A note on the uniqueness of entropy solutions of nonlinear degenerate parabolic equations. Zbl 1072.35545 Karlsen, Kenneth H.; Ohlberger, Mario 18 2002 Nonlinear anisotropic elliptic and parabolic equations with variable exponents and \(L^1\) data. Zbl 1268.35053 Bendahmane, Mostafa; Karlsen, Kenneth Hvistendahl; Saad, Mazen 18 2013 High-resolution hybrid primitive-conservative upwind schemes for the drift flux model. Zbl 1059.76044 Fjelde, Kjell Kåre; Karlsen, Kenneth Hvistendahl 17 2002 Model equations and instability regions for the sedimentation of polydisperse suspensions of spheres. Zbl 1011.35017 Bürger, R.; Karlsen, K. H.; Tory, E. M.; Wendland, W. L. 17 2002 Corrected operator splitting for nonlinear parabolic equations. Zbl 0951.35080 Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik 16 2000 Stable upwind schemes for the magnetic induction equation. Zbl 1177.78057 Fuchs, Franz G.; Karlsen, Kenneth H.; Mishra, Siddharta; Risebro, Nils H. 16 2009 Monotone difference approximations for the simulation of clarifier-thickener units. Zbl 1299.76283 Bürger, R.; Karlsen, K. H.; Risebro, N. H.; Towers, J. D. 16 2004 Convergence of a Godunov scheme for conservation laws with a discontinuous flux lacking the crossing condition. Zbl 1380.65158 Karlsen, K. H.; Towers, J. D. 16 2017 Periodic solutions of the Degasperis-Procesi equation: well-posedness and asymptotics. Zbl 1316.35081 Coclite, G. M.; Karlsen, K. H. 16 2015 On the existence and compactness of a two-dimensional resonant system of conservation laws. Zbl 1165.35412 Karlsen, Kenneth H.; Rascle, Michel; Tadmor, Eitan 15 2007 Central schemes and systems of conservation laws with discontinuous coefficients modeling gravity separation of polydisperse suspensions. Zbl 1107.76366 Berres, S.; Bürger, R.; Karlsen, K. H. 15 2004 A semilinear Black and Scholes partial differential equation for valuing American options. Zbl 1064.60080 Benth, Fred E.; Karlsen, Kenneth H.; Reikvam, Kristin 15 2003 On stochastic conservation laws and Malliavin calculus. Zbl 1354.60070 Karlsen, K. H.; Storrøsten, E. B. 15 2017 Anisotropic nonlinear elliptic systems with measure data and anisotropic harmonic maps into spheres. Zbl 1128.35039 Bendahmane, Mostafa; Karlsen, Kenneth H. 14 2006 The discontinuous Galerkin method for fractal conservation laws. Zbl 1256.65089 Cifani, Simone; Jakobsen, Espen R.; Karlsen, Kenneth H. 14 2011 Difference-quadrature schemes for nonlinear degenerate parabolic integro-PDE. Zbl 1218.65147 Biswas, Imran H.; Jakobsen, Espen R.; Karlsen, Kenneth H. 14 2010 On the convergence rate of operator splitting for Hamilton-Jacobi equations with source terms. Zbl 1059.70012 Jakobsen, Espen Robstad; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik 14 2001 Central difference solutions of the kinematic model of settling of polydisperse suspensions and three-dimensional particle-scale simulations. Zbl 1014.76060 Bürger, R.; Fjelde, K.-K.; Höfler, K.; Karlsen, K. Hvistendahl 14 2001 Difference schemes, entropy solutions, and speedup impulse for an inhomogeneous kinematic traffic flow model. Zbl 1173.35586 Bürger, Raimund; García, Antonio; Karlsen, Kenneth H.; Towers, John D. 14 2008 Error estimates for approximate solutions to Bellman equations associated with controlled jump-diffusions. Zbl 1153.65125 Jakobsen, Espen R.; Karlsen, Kenneth H.; La Chioma, Claudia 14 2008 Conservation laws with discontinuous flux: a short introduction. Zbl 1138.35365 Bürger, Raimund; Karlsen, Kenneth H. 13 2008 Operator splitting methods for degenerate convection-diffusion equations. II: Numerical examples with emphasis on reservoir simulation and sedimentation. Zbl 1049.35113 Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas 13 2000 Continuous dependence estimates for viscosity solutions of fully nonlinear degenerate elliptic equations. Zbl 1010.35050 Jakobsen, Espen R.; Karlsen, Kenneth H. 13 2002 A relaxation scheme for conservation laws with a discontinuous coefficient. Zbl 1078.65076 Karlsen, K. H.; Klingenberg, C.; Risebro, N. H. 13 2004 Convergence of finite volume schemes for triangular systems of conservation laws. Zbl 1190.65133 Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha; Risebro, Nils Henrik 13 2009 An explicit finite difference scheme for the Camassa-Holm equation. Zbl 1191.35021 Coclite, Giuseppe Maria; Karlsen, Kenneth H.; Risebro, Nils Henrik 13 2008 Conservation laws driven by Lévy white noise. Zbl 1333.35357 Biswas, Imran H.; Karlsen, Kenneth H.; Majee, Ananta K. 13 2015 Second-order schemes for conservation laws with discontinuous flux modelling clarifier-thickener units. Zbl 1204.65101 Bürger, Raimund; Karlsen, Kenneth H.; Torres, Héctor; Towers, John D. 13 2010 Convergence of discrete duality finite volume schemes for the cardiac bidomain model. Zbl 1328.65190 Andreianov, Boris; Bendahmane, Mostafa; Karlsen, Kenneth H.; Pierre, Charles 13 2011 A PDE representation of the density of the minimal entropy martingale measure in stochastic volatility markets. Zbl 1115.91025 Benth, Fred Espen; Karlsen, Kenneth Hvistendahl 12 2005 On uniqueness and existence of entropy solutions of weakly coupled systems of nonlinear degenerate parabolic equations. Zbl 1036.35102 Holden, Helge; Karlsen, Kenneth H.; Risebro, Nils H. 12 2003 Uniqueness of entropy solutions for doubly nonlinear anisotropic degenerate parabolic equations. Zbl 1090.35105 Bendahmane, Mostafa; Karlsen, Kenneth H. 12 2005 An error estimate for the finite difference approximation to degenerate convection-diffusion equations. Zbl 1248.65098 Karlsen, K. H.; Koley, U.; Risebro, N. H. 12 2012 Convergence of a mixed method for a semi-stationary compressible Stokes system. Zbl 1219.65094 Karlsen, Kenneth H.; Karper, Trygve K. 11 2011 On some upwind difference schemes for the phenomenological sedimentation-consolidation model. Zbl 1128.76341 Bürger, R.; Karlsen, K. Hvistendahl 11 2001 A relaxation scheme for continuous sedimentation in ideal clarifier-thickener units. Zbl 1122.76063 Bürger, R.; Karlsen, K. H.; Risebro, N. H. 11 2005 A convergent mixed method for the Stokes approximation of viscous compressible flow. Zbl 1427.76131 Karlsen, Kenneth H.; Karper, Trygve K. 11 2012 Global well-posedness of the viscous Camassa-Holm equation with gradient noise. Zbl 1515.35376 Holden, Helge; Karlsen, Kenneth H.; Pang, Peter H. C. 3 2023 Strong solutions of a stochastic differential equation with irregular random drift. Zbl 1494.60064 Holden, Helge; Karlsen, Kenneth H.; Pang, Peter H. C. 1 2022 Homogenization of stochastic conservation laws with multiplicative noise. Zbl 1496.35042 Frid, Hermano; Karlsen, Kenneth H.; Marroquin, Daniel 1 2022 The Hunter-Saxton equation with noise. Zbl 1451.35266 Holden, Helge; Karlsen, Kenneth H.; Pang, Peter H. C. 10 2021 Renormalization of stochastic continuity equations on Riemannian manifolds. Zbl 1483.58009 Galimberti, Luca; Karlsen, Kenneth H. 5 2021 Numerical methods for conservation laws with rough flux. Zbl 1437.35485 Hoel, H.; Karlsen, K. H.; Risebro, N. H.; Storrøsten, E. B. 4 2020 The Cardiac bidomain model and homogenization. Zbl 1423.35200 Grandelius, Erik; Karlsen, Kenneth H. 10 2019 Well-posedness theory for stochastically forced conservation laws on Riemannian manifolds. Zbl 1437.35482 Galimberti, L.; Karlsen, K. H. 6 2019 Stochastically forced cardiac bidomain model. Zbl 1427.60116 Bendahmane, M.; Karlsen, K. H. 2 2019 Path-dependent convex conservation laws. Zbl 1402.35170 Hoel, H.; Karlsen, K. H.; Risebro, N. H.; Storrøsten, E. B. 8 2018 The initial-boundary-value problem for an Ostrovsky-Hunter type equation. Zbl 1402.35086 Coclite, Giuseppe Maria; di Ruvo, Lorenzo; Karlsen, Kenneth Hvistendahl 6 2018 Analysis of a splitting method for stochastic balance laws. Zbl 1475.65153 Karlsen, K. H.; Storrøsten, E. B. 6 2018 Convergence of a Godunov scheme for conservation laws with a discontinuous flux lacking the crossing condition. Zbl 1380.65158 Karlsen, K. H.; Towers, J. D. 16 2017 On stochastic conservation laws and Malliavin calculus. Zbl 1354.60070 Karlsen, K. H.; Storrøsten, E. B. 15 2017 Convergence of monotone schemes for conservation laws with zero-flux boundary conditions. Zbl 1488.65365 Karlsen, K. H.; Towers, J. D. 2 2017 Practical convergence rates for degenerate parabolic equations. Zbl 1372.35166 Karlsen, Kenneth H.; Risebro, Nils H.; Storrøsten, E. B. 1 2017 On the convergence rate of finite difference methods for degenerate convection-diffusion equations in several space dimensions. Zbl 1342.65182 Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik; Storrøsten, Erlend Briseid 7 2016 On a hyperbolic Keller-Segel system with degenerate nonlinear fractional diffusion. Zbl 1348.35289 Karlsen, Kenneth H.; Ulusoy, Süleyman 4 2016 Periodic solutions of the Degasperis-Procesi equation: well-posedness and asymptotics. Zbl 1316.35081 Coclite, G. M.; Karlsen, K. H. 16 2015 Conservation laws driven by Lévy white noise. Zbl 1333.35357 Biswas, Imran H.; Karlsen, Kenneth H.; Majee, Ananta K. 13 2015 A note on the Camassa-Holm equation. Zbl 1316.35082 Coclite, G. M.; Karlsen, K. H. 9 2015 Some wellposedness results for the Ostrovsky-Hunter equation. Zbl 1284.35131 Coclite, G. M.; Di Ruvo, L.; Karlsen, K. H. 22 2014 \(L^{1}\) error estimates for difference approximations of degenerate convection-diffusion equations. Zbl 1300.65067 Karlsen, K. H.; Risebro, N. H.; Storrøsten, E. B. 10 2014 On the singular limit of a two-phase flow equation with heterogeneities and dynamic capillary pressure. Zbl 1297.76163 Kissling, Frederike; Karlsen, Kenneth H. 4 2014 Nonlinear anisotropic elliptic and parabolic equations with variable exponents and \(L^1\) data. Zbl 1268.35053 Bendahmane, Mostafa; Karlsen, Kenneth Hvistendahl; Saad, Mazen 18 2013 Operator splitting for two-dimensional incompressible fluid equations. Zbl 1322.76017 Holden, Helge; Karlsen, Kenneth H.; Karper, Trygve 3 2013 Operator splitting for well-posed active scalar equations. Zbl 1282.35305 Holden, Helge; Karlsen, Kenneth H.; Karper, Trygve K. 1 2013 On nonlinear stochastic balance laws. Zbl 1261.60062 Chen, Gui-Qiang; Ding, Qian; Karlsen, Kenneth H. 59 2012 An error estimate for the finite difference approximation to degenerate convection-diffusion equations. Zbl 1248.65098 Karlsen, K. H.; Koley, U.; Risebro, N. H. 12 2012 A convergent mixed method for the Stokes approximation of viscous compressible flow. Zbl 1427.76131 Karlsen, Kenneth H.; Karper, Trygve K. 11 2012 A hyperbolic-elliptic model of two-phase flow in porous media-existence of entropy solutions. Zbl 1277.76100 Coclite, G. M.; Karlsen, K. H.; Mishra, S.; Risebro, N. H. 7 2012 Nonlinear partial differential equations. The Abel symposium 2010. Proceedings of the Abel symposium, Oslo, Norway, September 28–October 2, 2010. Zbl 1231.35003 1 2012 On an initial-boundary value problem for the hyperelastic rod wave equation. Zbl 1252.35131 Coclite, Giuseppe Maria; Karlsen, Kenneth Hvistendahl 1 2012 A note on entropy solutions for degenerate parabolic equations with \(L^1 \cap L^p\) data. Zbl 1255.35141 Bendahmane, Mostafa; Karlsen, Kenneth Hvistendahl 1 2012 Analysis of a compressible gas-liquid model motivated by oil well control operations. Zbl 1265.76094 Evje, Steinar; Karlsen, K. H. 1 2012 A theory of \(L ^{1}\)-dissipative solvers for scalar conservation laws with discontinuous flux. Zbl 1261.35088 Andreianov, Boris; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik 96 2011 On nonlocal conservation laws modelling sedimentation. Zbl 1381.76368 Betancourt, F.; Bürger, R.; Karlsen, K. H.; Tory, E. M. 63 2011 Operator splitting for the KdV equation. Zbl 1219.35235 Holden, Helge; Karlsen, Kenneth H.; Risebro, Nils Henrik; Tao, Terence 47 2011 A duality approach to the fractional Laplacian with measure data. Zbl 1208.35162 Karlsen, Kenneth H.; Petitta, Francesco; Ulusoy, Suleyman 30 2011 The discontinuous Galerkin method for fractional degenerate convection-diffusion equations. Zbl 1247.65128 Cifani, Simone; Jakobsen, Espen R.; Karlsen, Kenneth H. 18 2011 The discontinuous Galerkin method for fractal conservation laws. Zbl 1256.65089 Cifani, Simone; Jakobsen, Espen R.; Karlsen, Kenneth H. 14 2011 Convergence of discrete duality finite volume schemes for the cardiac bidomain model. Zbl 1328.65190 Andreianov, Boris; Bendahmane, Mostafa; Karlsen, Kenneth H.; Pierre, Charles 13 2011 Convergence of a mixed method for a semi-stationary compressible Stokes system. Zbl 1219.65094 Karlsen, Kenneth H.; Karper, Trygve K. 11 2011 Stability of entropy solutions for Lévy mixed hyperbolic-parabolic equations. Zbl 1270.35084 Karlsen, Kenneth H.; Ulusoy, Suleyman 8 2011 A strongly degenerate parabolic aggregation equation. Zbl 1272.35125 Betancourt, F.; Bürger, R.; Karlsen, K. H. 6 2011 \(L^\infty\) solutions for a model of nonisothermal polytropic gas flow. Zbl 1252.35197 Frid, Hermano; Holden, Helge; Karlsen, Kenneth H. 2 2011 Splitting methods for partial differential equations with rough solutions. Analysis and Matlab programs. Zbl 1191.35005 Holden, Helge; Karlsen, Kenneth H.; Lie, Knut-Andreas; Risebro, Nils Henrik 75 2010 Well-posedness and blow-up phenomena for a modified two-component Camassa-Holm equation. Zbl 1213.35133 Guan, Chunxia; Karlsen, Kenneth H.; Yin, Zhaoyang 42 2010 Discrete duality finite volume schemes for doubly nonlinear degenerate hyperbolic-parabolic equations. Zbl 1207.35020 Andreianov, B.; Bendahmane, M.; Karlsen, K. H. 35 2010 On vanishing viscosity approximation of conservation laws with discontinuous flux. Zbl 1270.35305 Andreianov, Boris; Karlsen, Kenneth H.; Risebro, Nils H. 34 2010 Viscosity solutions for a system of integro-PDEs and connections to optimal switching and control of jump-diffusion processes. Zbl 1197.49028 Biswas, Imran H.; Jakobsen, Espen R.; Karlsen, Kenneth H. 32 2010 Difference-quadrature schemes for nonlinear degenerate parabolic integro-PDE. Zbl 1218.65147 Biswas, Imran H.; Jakobsen, Espen R.; Karlsen, Kenneth H. 14 2010 Second-order schemes for conservation laws with discontinuous flux modelling clarifier-thickener units. Zbl 1204.65101 Bürger, Raimund; Karlsen, Kenneth H.; Torres, Héctor; Towers, John D. 13 2010 A convergent nonconforming finite element method for compressible Stokes flow. Zbl 1222.35141 Karlsen, Kenneth H.; Karper, Trygve K. 10 2010 On some difference schemes and entropy conditions for a class of multi-species kinematic flow models with discontinuous flux. Zbl 1263.76048 Bürger, Raimund; Karlsen, Kenneth H.; Towers, John D. 8 2010 An Engquist-Osher-type scheme for conservation laws with discontinuous flux adapted to flux connections. Zbl 1201.35022 Bürger, Raimund; Karlsen, Kenneth H.; Towers, John D. 53 2009 Global weak solutions for a viscous liquid-gas model with singular pressure law. Zbl 1175.76143 Evje, Steinar; Karlsen, Kenneth Hvistendahl 47 2009 Well-posedness of higher-order Camassa-Holm equations. Zbl 1186.35003 Coclite, G. M.; Holden, H.; Karlsen, K. H. 38 2009 Well-posedness results for triply nonlinear degenerate parabolic equations. Zbl 1178.35212 Andreianov, B.; Bendahmane, M.; Karlsen, K. H.; Ouaro, S. 30 2009 Initial-boundary value problems for conservation laws with source terms and the Degasperis-Procesi equation. Zbl 1180.35348 Coclite, G. M.; Karlsen, K. H.; Kwon, Y.-S. 27 2009 Stable upwind schemes for the magnetic induction equation. Zbl 1177.78057 Fuchs, Franz G.; Karlsen, Kenneth H.; Mishra, Siddharta; Risebro, Nils H. 16 2009 Convergence of finite volume schemes for triangular systems of conservation laws. Zbl 1190.65133 Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha; Risebro, Nils Henrik 13 2009 Convergence of a finite volume scheme for the bidomain model of cardiac tissue. Zbl 1165.92005 Bendahmane, Mostafa; Karlsen, Kenneth H. 11 2009 Identification of diffusion parameters in a nonlinear convection-diffusion equation using the augmented Lagrangian method. Zbl 1179.65122 Nilssen, T. K.; Karlsen, K. H.; Mannseth, T.; Tai, X.-C. 10 2009 A convergent finite-difference method for a nonlinear variational wave equation. Zbl 1236.65112 Holden, H.; Karlsen, K. H.; Risebro, N. H. 8 2009 Well-balanced schemes for conservation laws with source terms based on a local discontinuous flux formulation. Zbl 1198.35149 Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha; Risebro, Nils Henrik 8 2009 A conservation law with discontinuous flux modelling traffic flow with abruptly changing road surface conditions. Zbl 1186.35005 Bürger, Raimund; Karlsen, Kenneth H.; Towers, John D. 7 2009 Convergence of vanishing viscosity approximations of \(2\times 2\) triangular systems of multi-dimensional conservation laws. Zbl 1178.35246 Coclite, G. M.; Karlsen, K. H.; Mishra, S.; Risebro, N. H. 7 2009 Strong compactness of approximate solutions to degenerate elliptic-hyperbolic equations with discontinuous flux function. Zbl 1212.35166 Holden, Helge; Karlsen, Kenneth H.; Mitrovic, Darko; Panov, Evgueni Yu. 6 2009 Semi-Godunov schemes for multiphase flows in porous media. Zbl 1191.35022 Karlsen, K. H.; Mishra, S.; Risebro, N. H. 5 2009 Zero diffusion-dispersion-smoothing limits for a scalar conservation law with discontinuous flux function. Zbl 1206.35170 Holden, H.; Karlsen, K. H.; Mitrovic, D. 4 2009 A semilinear equation for the American option in a general jump market. Zbl 1182.91218 Karlsen, Kenneth H.; Wallin, Olli 1 2009 Global existence of weak solutions for a viscous two-phase model. Zbl 1148.76056 Evje, Steinar; Karlsen, Kenneth H. 78 2008 A family of numerical schemes for kinematic flows with discontinuous flux. Zbl 1200.76126 Bürger, R.; García, A.; Karlsen, K. H.; Towers, J. D. 43 2008 Numerical schemes for computing discontinuous solutions of the Degasperis-Procesi equation. Zbl 1246.76114 Coclite, G. M.; Karlsen, K. H.; Risebro, N. H. 34 2008 A convergent finite difference scheme for the Camassa–Holm equation with general \(H^1\) initial data. Zbl 1172.35310 Coclite, G. M.; Karlsen, K. H.; Risebro, N. H. 29 2008 Difference schemes, entropy solutions, and speedup impulse for an inhomogeneous kinematic traffic flow model. Zbl 1173.35586 Bürger, Raimund; García, Antonio; Karlsen, Kenneth H.; Towers, John D. 14 2008 Error estimates for approximate solutions to Bellman equations associated with controlled jump-diffusions. Zbl 1153.65125 Jakobsen, Espen R.; Karlsen, Kenneth H.; La Chioma, Claudia 14 2008 Conservation laws with discontinuous flux: a short introduction. Zbl 1138.35365 Bürger, Raimund; Karlsen, Kenneth H. 13 2008 An explicit finite difference scheme for the Camassa-Holm equation. Zbl 1191.35021 Coclite, Giuseppe Maria; Karlsen, Kenneth H.; Risebro, Nils Henrik 13 2008 Bounded solutions for the Degasperis-Procesi equation. Zbl 1164.35071 Coclite, Giuseppe Maria; Karlsen, Kenneth H. 7 2008 Error estimates for a class of finite difference-quadrature schemes for fully nonlinear degenerate parabolic integro-PDEs. Zbl 1170.65102 Biswas, Imran H.; Jakobsen, Espen R.; Karlsen, Kenneth H. 5 2008 A hyperbolic-elliptic model for coupled well-porous media flow. Zbl 1388.35154 Evje, S.; Karlsen, K. H. 3 2008 A gradient reconstruction formula for finite volume schemes and discrete duality. Zbl 1422.65200 Andreianov, Boris; Bendahmane, Mostafa; Karlsen, Kenneth H. 3 2008 Semi-Godunov schemes for general triangular systems of conservation laws. Zbl 1133.76033 Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha; Risebro, Nils Henrik 2 2008 Global weak solutions for a shallow water equation. Zbl 1168.35415 Coclite, G. M.; Holden, H.; Karlsen, K. H. 1 2008 Discontinuous solutions for the Degasperis-Procesi equation. Zbl 1157.35455 Coclite, G. M.; Karlsen, K. H. 1 2008 On the uniqueness of discontinuous solutions to the Degasperis-Procesi equation. Zbl 1133.35028 Coclite, Giuseppe M.; Karlsen, Kenneth H. 28 2007 On a two-sidedly degenerate chemotaxis model with volume-filling effect. Zbl 1133.35061 Bendahmane, Mostafa; Karlsen, Kenneth H.; Urbano, José Miguel 24 2007 On the well-posedness of entropy solutions to conservation laws with a zero-flux boundary condition. Zbl 1160.35048 Bürger, Raimund; Frid, Hermano; Karlsen, Kenneth H. 21 2007 Convergent difference schemes for the Hunter–Saxton equation. Zbl 1114.65101 Holden, H.; Karlsen, K. H.; Risebro, N. H. 18 2007 On the existence and compactness of a two-dimensional resonant system of conservation laws. Zbl 1165.35412 Karlsen, Kenneth H.; Rascle, Michel; Tadmor, Eitan 15 2007 Error estimates for finite difference-quadrature schemes for a class of nonlocal Bellman equations with variable diffusion. Zbl 1125.65362 Biswas, Imran H.; Jakobsen, Espen R.; Karlsen, Kenneth H. 2 2007 On the well-posedness of the Degasperis-Procesi equation. Zbl 1090.35142 Coclite, Giuseppe M.; Karlsen, Kenneth H. 142 2006 A “maximum principle for semicontinuous functions” applicable to integro-partial differential equations. Zbl 1105.45006 Jakobsen, Espen R.; Karlsen, Kenneth H. 59 2006 Analysis of a class of degenerate reaction-diffusion systems and the bidomain model of cardiac tissue. Zbl 1179.35162 Bendahmane, Mostafa; Karlsen, Kenneth H. 48 2006 Renormalized solutions of an anisotropic reaction-diffusion-advection system with \(L^1\) data. Zbl 1134.35371 Bendahmane, Mostafa; Karlsen, Kenneth H. 46 2006 A singular limit problem for conservation laws related to the Camassa–Holm shallow water equation. Zbl 1102.35010 Coclite, Giuseppe Maria; Karlsen, Kenneth Hvistendahl 28 2006 \(L^1\)-framework for continuous dependence and error estimates for quasilinear anisotropic degenerate parabolic equations. Zbl 1096.35072 Chen, Gui-Qiang; Karlsen, Kenneth H. 20 2006 Anisotropic nonlinear elliptic systems with measure data and anisotropic harmonic maps into spheres. Zbl 1128.35039 Bendahmane, Mostafa; Karlsen, Kenneth H. 14 2006 ...and 78 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,254 Authors 76 Karlsen, Kenneth Hvistendahl 65 Coclite, Giuseppe Maria 60 Bürger, Raimund 47 Yin, Zhaoyang 43 Risebro, Nils Henrik 38 Bendahmane, Mostafa 36 Andreianov, Boris 32 Di Ruvo, Lorenzo 28 Holden, Helge 24 Jakobsen, Espen Robstad 24 Zhan, Huashui 23 Goatin, Paola 22 Lai, Shaoyong 18 Mishra, Siddhartha 17 Evje, Steinar 17 Wen, Huanyao 16 Diehl, Stefan 16 Ruiz-Baier, Ricardo 15 Liu, Yue 15 Towers, John D. 14 Saad, Mazen 14 Villada, Luis Miguel 14 Zhu, Changjiang 13 Mulet, Pep 12 Frid, Hermano 12 Raynaud, Xavier 11 Abreu, Eduardo 11 Koley, Ujjwal 11 Mokhtari, Fares 11 Shangerganesh, Lingeshwaran 11 Tian, Lixin 11 Yao, Lei 10 Biswas, Imran H. 10 Gao, Hongjun 10 Gess, Benjamin 10 Gowda, G. D. Veerappa 10 Grunert, Katrin 10 Keimer, Alexander 10 Pflug, Lukas 10 Wittbold, Petra 10 Wu, Xinglong 9 Adimurthi, A. 9 Balachandran, Krishnan 9 Colombo, Rinaldo M. 9 Guo, Zhengguang 9 Kwon, Young-Sam 9 Li, Yachun 9 Liu, Hailiang 9 Rosini, Massimiliano Daniele 9 Yan, Kai 9 Zhang, Yinghui 8 Cancès, Clément 8 Chen, Gui-Qiang G. 8 Feng, Zhaosheng 8 Ghoshal, Shyam Sundar 8 Guan, Chunxia 8 Guo, Yunxi 8 Klingenberg, Christian 8 Lv, Guangying 8 Majee, Ananta K. 8 Panov, Evgeniy Yu. 8 Qu, Changzheng 8 Rohde, Christian 8 Rossi, Elena 8 Schratz, Katharina 8 Sepúlveda, Mauricio A. 8 Tavares, Leandro S. 8 Valdinoci, Enrico 8 Vallet, Guy 8 Wang, Guodong 8 Zhang, Peng 7 Bauzet, Caroline 7 Chen, Yong 7 Chiarello, Felisia Angela 7 Ding, Danping 7 Duan, Jinqiao 7 Geiser, Jürgen 7 Klimsiak, Tomasz 7 Liu, Tao 7 Mitrovic, Darko 7 Qiao, Zhijun 7 Shen, Chun 7 Shen, Wen 7 Souganidis, Panagiotis E. 7 Świȩch, Andrzej 7 Wong, Sze Chun 7 Wu, Yonghong 7 Yan, Haibo 7 Zhou, Shouming 6 Ainseba, Bedr’Eddine 6 Berres, Stefan 6 Csomós, Petra 6 del Teso, Félix 6 Dipierro, Serena 6 Donadello, Carlotta 6 dos Santos, Gelson C. G. 6 Du, Qiang 6 Eymard, Robert 6 Flåtten, Tore 6 Fu, Ying ...and 2,154 more Authors all top 5 Cited in 334 Serials 124 Journal of Differential Equations 61 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 54 Journal of Computational Physics 54 Journal of Mathematical Analysis and Applications 39 Nonlinear Analysis. Real World Applications 38 Discrete and Continuous Dynamical Systems 36 Journal of Hyperbolic Differential Equations 35 Applied Mathematics and Computation 33 Applied Numerical Mathematics 31 Computers & Mathematics with Applications 31 Journal of Mathematical Physics 31 Journal of Functional Analysis 29 Mathematics of Computation 29 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 28 Journal of Computational and Applied Mathematics 28 Boundary Value Problems 27 Numerische Mathematik 27 M\(^3\)AS. 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Series B 4 Stochastic Analysis and Applications 4 Journal of Economic Dynamics & Control 4 Applications of Mathematics 4 Potential Analysis 4 Computational and Applied Mathematics 4 Filomat ...and 234 more Serials all top 5 Cited in 44 Fields 1,508 Partial differential equations (35-XX) 630 Numerical analysis (65-XX) 483 Fluid mechanics (76-XX) 215 Probability theory and stochastic processes (60-XX) 156 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 130 Calculus of variations and optimal control; optimization (49-XX) 116 Biology and other natural sciences (92-XX) 108 Systems theory; control (93-XX) 92 Operations research, mathematical programming (90-XX) 71 Dynamical systems and ergodic theory (37-XX) 61 Mechanics of deformable solids (74-XX) 57 Operator theory (47-XX) 56 Integral equations (45-XX) 43 Statistical mechanics, structure of matter (82-XX) 37 Functional analysis (46-XX) 34 Ordinary differential equations (34-XX) 23 Real functions (26-XX) 20 Optics, electromagnetic theory (78-XX) 20 Geophysics (86-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 12 Approximations and expansions (41-XX) 11 Mechanics of particles and systems (70-XX) 10 Global analysis, analysis on manifolds (58-XX) 10 Classical thermodynamics, heat transfer (80-XX) 8 Statistics (62-XX) 8 Quantum theory (81-XX) 7 Measure and integration (28-XX) 6 Difference and functional equations (39-XX) 5 Potential theory (31-XX) 5 Special functions (33-XX) 4 Astronomy and astrophysics (85-XX) 3 Topological groups, Lie groups (22-XX) 3 Differential geometry (53-XX) 2 General and overarching topics; collections (00-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Nonassociative rings and algebras (17-XX) 2 Functions of a complex variable (30-XX) 2 Computer science (68-XX) 2 Relativity and gravitational theory (83-XX) 1 Combinatorics (05-XX) 1 Associative rings and algebras (16-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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