Edit Profile Risebro, Nils Henrik Compute Distance To: Compute Author ID: risebro.nils-henrik Published as: Risebro, N. H.; Risebro, Nils H.; Risebro, Nils Henrik Documents Indexed: 116 Publications since 1990, including 5 Books all top 5 Co-Authors 3 single-authored 46 Karlsen, Kenneth Hvistendahl 35 Holden, Helge 17 Mishra, Siddhartha 14 Coclite, Giuseppe Maria 9 Koley, Ujjwal 7 Towers, John D. 6 Lie, Knut-Andreas 5 Bürger, Raimund 5 Fuchs, Franz Georg 5 Klingenberg, Christian 5 Storrøsten, Erlend Briseid 5 Weber, Franziska 4 Dutta, Rajib 4 Gimse, Tore 4 Sande, Hilde 4 Schwab, Christoph 4 Tveito, Aslak 3 McMurry, Andrew D. 3 Waagan, Knut 2 Andreianov, Boris 2 Hanche-Olsen, Harald 2 Hoel, Hakon A. 2 Holden, Lars 2 Jakobsen, Espen Robstad 2 Klausen, Runhild Aae 2 Ridder, Johanna 2 Svärd, Magnus 1 Agrell, Christian 1 Bratvedt, Frode 1 Bratvedt, Kyrre 1 Buchholz, Christian F. 1 Chatterjee, Niladri 1 Colombo, Rinaldo M. 1 Evje, Steinar 1 Frid, Hermano 1 Gesztesy, Fritz 1 Hvistendahl, K. 1 Langseth, Jan Olav 1 Larssen, Bjørnar 1 Lubich, Christian 1 Lyubarskii, Yurii I. 1 Martinsen, Torgeir With 1 Priuli, Fabio Simone 1 Reichmann, Oleg 1 Ruf, Adrian M. 1 Seip, Kristian 1 Tao, Terence 1 Tokareva, Svetlana A. all top 5 Serials 8 Mathematics of Computation 6 Journal of Computational Physics 5 IMA Journal of Numerical Analysis 5 BIT 5 Numerische Mathematik 5 SIAM Journal on Numerical Analysis 5 SIAM Journal on Mathematical Analysis 5 Journal of Hyperbolic Differential Equations 4 Journal of Differential Equations 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 International Journal of Numerical Analysis and Modeling 3 Applied Mathematical Sciences 2 Journal of Engineering Mathematics 2 Communications in Partial Differential Equations 2 SIAM Journal on Applied Mathematics 2 Electronic Journal of Differential Equations (EJDE) 2 Discrete and Continuous Dynamical Systems 2 Computational Geosciences 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Communications in Computational Physics 2 Networks and Heterogeneous Media 1 Archive for Rational Mechanics and Analysis 1 Computers & Mathematics with Applications 1 Inverse Problems 1 Journal of Mathematical Analysis and Applications 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Applied Mathematics and Optimization 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 Quarterly of Applied Mathematics 1 SIAM Journal on Scientific and Statistical Computing 1 Stochastic Analysis and Applications 1 Applied Numerical Mathematics 1 Surveys on Mathematics for Industry 1 Advances in Differential Equations 1 Skrifter. Det Kongelige Norske Videnskabers Selskab 1 Computing and Visualization in Science 1 Vietnam Journal of Mathematics 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Nonlinear Analysis. Real World Applications 1 Milan Journal of Mathematics 1 Bollettino dell’Unione Matematica Italiana. Series IX 1 S\(\vec{\text{e}}\)MA Journal 1 Stochastic and Partial Differential Equations. Analysis and Computations 1 SIAM/ASA Journal on Uncertainty Quantification 1 EMS Series of Lectures in Mathematics 1 EMS Series of Congress Reports all top 5 Fields 102 Partial differential equations (35-XX) 62 Numerical analysis (65-XX) 42 Fluid mechanics (76-XX) 8 Probability theory and stochastic processes (60-XX) 7 Statistical mechanics, structure of matter (82-XX) 5 Operations research, mathematical programming (90-XX) 4 Mechanics of deformable solids (74-XX) 3 Optics, electromagnetic theory (78-XX) 3 Geophysics (86-XX) 2 Operator theory (47-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Mechanics of particles and systems (70-XX) 1 General and overarching topics; collections (00-XX) 1 Ordinary differential equations (34-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Astronomy and astrophysics (85-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 102 Publications have been cited 1,612 times in 816 Documents Cited by ▼ Year ▼ Front tracking for hyperbolic conservation laws. Zbl 1006.35002Holden, Helge; Risebro, Nils Henrik 85 2002 Solution of the Cauchy problem for a conservation law with a discontinuous flux function. Zbl 0776.35034Gimse, Tore; Risebro, Nils Henrik 71 1992 A mathematical model of traffic flow on a network of unidirectional roads. Zbl 0833.35089Holden, Helge; Risebro, Nils Henrik 65 1995 \(L^1\) stability for entropy solutions of nonlinear degenerate parabolic convection-diffusion equations with discontinuous coefficients. Zbl 1036.35104Karlsen, K. H.; Risebro, N. H.; Towers, J. D. 64 2003 A theory of \(L ^{1}\)-dissipative solvers for scalar conservation laws with discontinuous flux. Zbl 1261.35088Andreianov, Boris; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik 62 2011 Convex conservation laws with discontinuous coefficients. Existence, uniqueness and asymptotic behavior. Zbl 0836.35090Klingenberg, Christian; Risebro, Nils Henrik 60 1995 On the uniqueness and stability of entropy solutions of nonlinear degenerate parabolic equations with rough coefficients. Zbl 1027.35057Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik 57 2003 Well-posedness in \(BV_t\) and convergence of a difference scheme for continuous sedimentation in ideal clarifier-thickener units. Zbl 1053.76047Bürger, R.; Karlsen, K. H.; Risebro, N. H.; Towers, J. D. 53 2004 Upwind difference approximations for degenerate parabolic convection-diffusion equations with a discontinuous coefficient. Zbl 1014.65073Karlsen, K. H.; Risebro, N. H.; Towers, J. D. 50 2002 Splitting methods for partial differential equations with rough solutions. Analysis and Matlab programs. Zbl 1191.35005Holden, Helge; Karlsen, Kenneth H.; Lie, Knut-Andreas; Risebro, Nils Henrik 49 2010 Riemann problems with a discontinuous flux function. Zbl 0789.35102Gimse, Tore; Risebro, Nils Henrik 39 1991 Front tracking for hyperbolic conservation laws. 2nd edition. Zbl 1346.35004Holden, Helge; Risebro, Nils Henrik 38 2015 Convergence of finite difference schemes for viscous and inviscid conservation laws with rough coefficients. Zbl 1032.76048Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik 32 2001 Front tracking for hyperbolic conservation laws. Paperback ed. Zbl 1239.35003Holden, Helge; Risebro, Nils Henrik 31 2011 Stability of conservation laws with discontinuous coefficients. Zbl 0935.35097Klausen, Runhild Aae; Risebro, Nils Henrik 30 1999 Numerical schemes for computing discontinuous solutions of the Degasperis-Procesi equation. Zbl 1246.76114Coclite, G. M.; Karlsen, K. H.; Risebro, N. H. 28 2008 Operator splitting for partial differential equations with Burgers nonlinearity. Zbl 1260.35184Holden, Helge; Lubich, Christian; Risebro, Nils Henrik 27 2013 Operator splitting for the KdV equation. Zbl 1219.35235Holden, Helge; Karlsen, Kenneth H.; Risebro, Nils Henrik; Tao, Terence 27 2011 Conservation laws with a random source. Zbl 0885.35069Holden, H.; Risebro, N. H. 27 1997 Stability of a resonant system of conservation laws modeling polymer flow with gravitation. Zbl 0977.35083Klingenberg, Christian; Risebro, Nils Henrik 25 2001 A front-tracking alternative to the random choice method. Zbl 0799.35153Risebro, Nils Henrik 25 1993 On vanishing viscosity approximation of conservation laws with discontinuous flux. Zbl 1270.35305Andreianov, Boris; Karlsen, Kenneth H.; Risebro, Nils H. 24 2010 A front tracking approach to a model of continuous sedimentation in ideal clarifier-thickener units. Zbl 1013.35052Bürger, R.; Karlsen, K. H.; Klingenberg, C.; Risebro, N. H. 24 2003 When are HJB-equations in stochastic control of delay systems finite dimensional? Zbl 1052.60051Larssen, Bjørnar; Risebro, Nils Henrik 23 2003 On a nonlinear degenerate parabolic transport-diffusion equation with a discontinuous coefficient. Zbl 1015.35049Karlsen, Kenneth H.; Risebro, Nils H.; Towers, John D. 23 2002 An operator splitting method for nonlinear convection-diffusion equations. Zbl 0882.35074Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik 21 1997 Conservation laws with time dependent discontinuous coefficients. Zbl 1078.35071Coclite, Giuseppe Maria; Risebro, Nils Henrik 20 2005 Operator splitting methods for generalized Korteweg-de Vries equations. Zbl 0947.65102Holden, Helge; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik 20 1999 A convergent finite difference scheme for the Camassa–Holm equation with general \(H^1\) initial data. Zbl 1172.35310Coclite, G. M.; Karlsen, K. H.; Risebro, N. H. 17 2008 Stable upwind schemes for the magnetic induction equation. Zbl 1177.78057Fuchs, Franz G.; Karlsen, Kenneth H.; Mishra, Siddharta; Risebro, Nils H. 15 2009 A front tracking method for conservation laws in one dimension. Zbl 0756.65120Risebro, N. H.; Tveito, A. 15 1992 Front tracking applied to a nonstrictly hyperbolic system of conservation laws. Zbl 0736.65075Risebro, Nils Henrik; Tveito, Aslak 15 1991 Monotone difference approximations for the simulation of clarifier-thickener units. Zbl 1299.76283Bürger, R.; Karlsen, K. H.; Risebro, N. H.; Towers, J. D. 14 2004 Convergent difference schemes for the Hunter–Saxton equation. Zbl 1114.65101Holden, H.; Karlsen, K. H.; Risebro, N. H. 13 2007 Corrected operator splitting for nonlinear parabolic equations. Zbl 0951.35080Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik 13 2000 Approximate Riemann solvers and robust high-order finite volume schemes for multi-dimensional ideal MHD equations. Zbl 1364.76113Fuchs, Franz Georg; McMurry, Andrew D.; Mishra, Siddhartha; Risebro, Nils Henrik; Waagan, Knut 12 2011 The solution of the Cauchy problem with large data for a model of a mixture of gases. Zbl 1178.35248Holden, Helge; Risebro, Nils Henrik; Sande, Hilde 12 2009 A note on front tracking and the equivalence between viscosity solutions of Hamilton-Jacobi equations and entropy solutions of scalar conservation laws. Zbl 1010.35026Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik 12 2002 A convergent finite difference scheme for the Ostrovsky-Hunter equation on a bounded domain. Zbl 1368.65133Coclite, G. M.; Ridder, J.; Risebro, N. H. 11 2017 Convergence of finite volume schemes for triangular systems of conservation laws. Zbl 1190.65133Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha; Risebro, Nils Henrik 11 2009 On the convergence rate of operator splitting for Hamilton-Jacobi equations with source terms. Zbl 1059.70012Jakobsen, Espen Robstad; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik 11 2001 An unconditionally stable method for the Euler equations. Zbl 0922.76251Holden, Helge; Lie, Knut-Andreas; Risebro, Nils Henrik 11 1999 Continuous dependence in the large for some equations of gas dynamics. Zbl 0927.35082Colombo, Rinaldo M.; Risebro, Nils H. 11 1998 The continuum limit of follow-the-leader models – a short proof. Zbl 1378.35180Holden, Helge; Risebro, Nils Henrik 10 2018 Higher-order finite difference schemes for the magnetic induction equations with resistivity. Zbl 1252.78033Koley, U.; Mishra, S.; Risebro, N. H.; Svärd, M. 10 2012 Higher order finite difference schemes for the magnetic induction equations. Zbl 1168.78317Koley, Ujjwal; Mishra, Siddhartha; Risebro, Nils Henrik; Svärd, Magnus 10 2009 Viscosity solutions of Hamilton-Jacobi equations with discontinuous coefficients. Zbl 1144.35016Coclite, Giuseppe Maria; Risebro, Nils Henrik 10 2007 A relaxation scheme for continuous sedimentation in ideal clarifier-thickener units. Zbl 1122.76063Bürger, R.; Karlsen, K. H.; Risebro, N. H. 10 2005 A relaxation scheme for conservation laws with a discontinuous coefficient. Zbl 1078.65076Karlsen, K. H.; Klingenberg, C.; Risebro, N. H. 10 2004 Riemann problems with a kink. Zbl 0926.35087Holden, Helge; Risebro, Nils Henrik 10 1999 A stochastic approach to conservation laws. Zbl 0789.35103Holden, H.; Risebro, N. H. 10 1991 Numerical solution of scalar conservation laws with random flux functions. Zbl 1343.65007Mishra, Siddhartha; Risebro, Nils Henrik; Schwab, Christoph; Tokareva, Svetlana 9 2016 Convergence of a fully discrete finite difference scheme for the Korteweg-de Vries equation. Zbl 1348.65121Holden, Helge; Koley, Ujjwal; Risebro, Nils Henrik 9 2015 Splitting based finite volume schemes for ideal MHD equations. Zbl 1259.76021Fuchs, F. G.; Mishra, S.; Risebro, N. H. 9 2009 A method of fractional steps for scalar conservation laws without the CFL conditions. Zbl 0799.35150Holden, Helge; Risebro, Nils Henrik 9 1993 Convergence of an Engquist-Osher scheme for a multi-dimensional triangular system of conservation laws. Zbl 1369.65108Coclite, G. M.; Mishra, S.; Risebro, N. H. 8 2010 High-order well-balanced finite volume schemes for simulating wave propagation in stratified magnetic atmospheres. Zbl 1190.76153Fuchs, F. G.; McMurry, A. D.; Mishra, S.; Risebro, N. H.; Waagan, K. 8 2010 An explicit finite difference scheme for the Camassa-Holm equation. Zbl 1191.35021Coclite, Giuseppe Maria; Karlsen, Kenneth H.; Risebro, Nils Henrik 8 2008 On uniqueness and existence of entropy solutions of weakly coupled systems of nonlinear degenerate parabolic equations. Zbl 1036.35102Holden, Helge; Karlsen, Kenneth H.; Risebro, Nils H. 8 2003 Unconditionally stable methods for Hamilton-Jacobi equations. Zbl 1143.65365Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik 8 2002 FRONTLINE and FRONTSIM: Two full scale, two-phase, black oil reservoir simulators based on front tracking. Zbl 0780.76073Bratvedt, Frode; Bratvedt, Kyrre; Buchholz, Christian F.; Gimse, Tore; Holden, Helge; Holden, Lars; Risebro, Nils Henrik 8 1993 \(L^{1}\) error estimates for difference approximations of degenerate convection-diffusion equations. Zbl 1300.65067Karlsen, K. H.; Risebro, N. H.; Storrøsten, E. B. 7 2014 Front tracking for a model of immiscible gas flow with large data. Zbl 1425.76214Holden, Helge; Risebro, Nils Henrik; Sande, Hilde 7 2010 An introduction to the theory of scalar conservation laws with spatially discontinuous flux functions. Zbl 1191.74032Risebro, Nils Henrik 7 2009 A convergent finite-difference method for a nonlinear variational wave equation. Zbl 1236.65112Holden, H.; Karlsen, K. H.; Risebro, N. H. 7 2009 On a model for continuous sedimentation in vessels with discontinuous cross-sectional area. Zbl 1059.76542Bürger, R.; Karlsen, K. H.; Risebro, N. H.; Towers, J. D. 7 2003 A fast marching method for reservoir simulation. Zbl 0997.76062Karlsen, K. Hvistendahl; Lie, K.-A.; Risebro, N. H. 7 2000 Follow-the-leader models can be viewed as a numerical approximation to the Lighthill-Whitham-Richards model for traffic flow. Zbl 1414.35122Holden, Helge; Risebro, Nils Henrik 6 2018 Multilevel Monte Carlo front-tracking for random scalar conservation laws. Zbl 1350.65008Risebro, Nils Henrik; Schwab, Christoph; Weber, Franziska 6 2016 Analysis and numerical approximation of Brinkman regularization of two-phase flows in porous media. Zbl 1392.76075Coclite, G. M.; Mishra, S.; Risebro, N. H.; Weber, F. 6 2014 An error estimate for the finite difference approximation to degenerate convection-diffusion equations. Zbl 1248.65098Karlsen, K. H.; Koley, U.; Risebro, N. H. 6 2012 Well-balanced schemes for conservation laws with source terms based on a local discontinuous flux formulation. Zbl 1198.35149Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha; Risebro, Nils Henrik 6 2009 Front tracking for scalar balance equations. Zbl 1053.35088Karlsen, K. H.; Risebro, N. H.; Towers, J. D. 6 2004 Front tracking and operator splitting for nonlinear degenerate convection-diffusion equations. Zbl 0961.65073Evje, S.; Karlsen, K. Hvistendahl; Lie, K. A.; Risebro, N. H. 6 2000 A multilevel Monte Carlo finite difference method for random scalar degenerate convection-diffusion equations. Zbl 1373.35179Koley, Ujjwal; Risebro, Nils Henrik; Schwab, Christoph; Weber, Franziska 5 2017 On the convergence rate of finite difference methods for degenerate convection-diffusion equations in several space dimensions. Zbl 1342.65182Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik; Storrøsten, Erlend Briseid 5 2016 Convergence of a higher order scheme for the Korteweg-de Vries equation. Zbl 1342.35301Dutta, Rajib; Koley, Ujjwal; Risebro, Nils Henrik 5 2015 A hyperbolic-elliptic model of two-phase flow in porous media-existence of entropy solutions. Zbl 1277.76100Coclite, G. M.; Karlsen, K. H.; Mishra, S.; Risebro, N. H. 5 2012 Semi-Godunov schemes for multiphase flows in porous media. Zbl 1191.35022Karlsen, K. H.; Mishra, S.; Risebro, N. H. 5 2009 Path-dependent convex conservation laws. Zbl 1402.35170Hoel, H.; Karlsen, K. H.; Risebro, N. H.; Storrøsten, E. B. 4 2018 Operator splitting for the Benjamin-Ono equation. Zbl 1326.35311Dutta, R.; Holden, H.; Koley, U.; Risebro, N. H. 4 2015 Convergence of vanishing viscosity approximations of \(2\times 2\) triangular systems of multi-dimensional conservation laws. Zbl 1178.35246Coclite, G. M.; Karlsen, K. H.; Mishra, S.; Risebro, N. H. 4 2009 A conservative front tracking scheme for 1D hyperbolic conservation laws. Zbl 0964.65517Langseth, Jan Olav; Risebro, Nils Henrik; Tveito, Aslak 4 1993 A front tracking method for conservation laws with boundary conditions. Zbl 0928.35098Hvistendahl, K.; Lie, K.-A.; Risebro, N. H. 3 1999 Some qualitative properties of 2\(\times 2\) systems of conservation laws of mixed type. Zbl 0718.76111Holden, H.; Holden, L.; Risebro, N. H. 3 1990 Models for dense multilane vehicular traffic. Zbl 1441.35162Holden, Helge; Risebro, Nils Henrik 2 2019 Convergence of finite difference schemes for the Benjamin-Ono equation. Zbl 1353.65090Dutta, Rajib; Holden, Helge; Koley, Ujjwal; Risebro, Nils Henrik 2 2016 A convergent difference scheme for a class of partial integro-differential equations modeling pricing under uncertainty. Zbl 1336.35348Coclite, G. M.; Reichmann, O.; Risebro, N. H. 2 2016 On an inverse problem for scalar conservation laws. Zbl 1286.35266Holden, Helge; Priuli, Fabio Simone; Risebro, Nils Henrik 2 2014 Semi-Godunov schemes for general triangular systems of conservation laws. Zbl 1133.76033Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha; Risebro, Nils Henrik 2 2008 Well-posedness of a \(2\times 2\) system of resonant conservation laws. Zbl 0931.35094Klausen, Runhild Aae; Risebro, Nils Henrik 2 1999 Stochastic properties of the scalar Buckley-Leverett equation. Zbl 0745.60064Holden, Helge; Risebro, Nils Henrik 2 1991 A difference method for the McKean-Vlasov equation. Zbl 1423.35382Coclite, Giuseppe Maria; Risebro, Nils Henrik 1 2019 A note on the convergence of a Crank-Nicolson scheme for the KdV equation. Zbl 1401.65104Dutta, Rajib; Risebro, Nils Henrik 1 2016 Convergence of a relaxation scheme for a \(2\times 2\) triangular system of conservation laws. Zbl 1320.65127Agrell, Christian; Risebro, Nils Henrik 1 2014 A note on front tracking for the Keyfitz-Kranzer system. Zbl 1316.35192Risebro, N. H.; Weber, F. 1 2013 Finite difference schemes for the symmetric Keyfitz-Kranzer system. Zbl 1277.65070Koley, Ujjwal; Risebro, Nils Henrik 1 2013 Finite volume methods for wave propagation in stratified magneto-atmospheres. Zbl 1364.76114Fuchs, Franz Georg; Mcmurry, Andrew D.; Mishra, Siddhartha; Risebro, Nils Henrik; Waagan, Knut 1 2010 Convergence of front tracking and the Glimm scheme for a model of the flow of immiscible gases. Zbl 1404.65119Holden, Helge; Risebro, Nils Henrik; Sande, Hilde 1 2009 Operator splitting for convection-dominated nonlinear partial differential equations. Zbl 0989.65093Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Risebro, Nils Henrik 1 2001 Models for dense multilane vehicular traffic. Zbl 1441.35162Holden, Helge; Risebro, Nils Henrik 2 2019 A difference method for the McKean-Vlasov equation. Zbl 1423.35382Coclite, Giuseppe Maria; Risebro, Nils Henrik 1 2019 The continuum limit of follow-the-leader models – a short proof. Zbl 1378.35180Holden, Helge; Risebro, Nils Henrik 10 2018 Follow-the-leader models can be viewed as a numerical approximation to the Lighthill-Whitham-Richards model for traffic flow. Zbl 1414.35122Holden, Helge; Risebro, Nils Henrik 6 2018 Path-dependent convex conservation laws. Zbl 1402.35170Hoel, H.; Karlsen, K. H.; Risebro, N. H.; Storrøsten, E. B. 4 2018 A convergent finite difference scheme for the Ostrovsky-Hunter equation on a bounded domain. Zbl 1368.65133Coclite, G. M.; Ridder, J.; Risebro, N. H. 11 2017 A multilevel Monte Carlo finite difference method for random scalar degenerate convection-diffusion equations. Zbl 1373.35179Koley, Ujjwal; Risebro, Nils Henrik; Schwab, Christoph; Weber, Franziska 5 2017 Numerical solution of scalar conservation laws with random flux functions. Zbl 1343.65007Mishra, Siddhartha; Risebro, Nils Henrik; Schwab, Christoph; Tokareva, Svetlana 9 2016 Multilevel Monte Carlo front-tracking for random scalar conservation laws. Zbl 1350.65008Risebro, Nils Henrik; Schwab, Christoph; Weber, Franziska 6 2016 On the convergence rate of finite difference methods for degenerate convection-diffusion equations in several space dimensions. Zbl 1342.65182Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik; Storrøsten, Erlend Briseid 5 2016 Convergence of finite difference schemes for the Benjamin-Ono equation. Zbl 1353.65090Dutta, Rajib; Holden, Helge; Koley, Ujjwal; Risebro, Nils Henrik 2 2016 A convergent difference scheme for a class of partial integro-differential equations modeling pricing under uncertainty. Zbl 1336.35348Coclite, G. M.; Reichmann, O.; Risebro, N. H. 2 2016 A note on the convergence of a Crank-Nicolson scheme for the KdV equation. Zbl 1401.65104Dutta, Rajib; Risebro, Nils Henrik 1 2016 Front tracking for hyperbolic conservation laws. 2nd edition. Zbl 1346.35004Holden, Helge; Risebro, Nils Henrik 38 2015 Convergence of a fully discrete finite difference scheme for the Korteweg-de Vries equation. Zbl 1348.65121Holden, Helge; Koley, Ujjwal; Risebro, Nils Henrik 9 2015 Convergence of a higher order scheme for the Korteweg-de Vries equation. Zbl 1342.35301Dutta, Rajib; Koley, Ujjwal; Risebro, Nils Henrik 5 2015 Operator splitting for the Benjamin-Ono equation. Zbl 1326.35311Dutta, R.; Holden, H.; Koley, U.; Risebro, N. H. 4 2015 \(L^{1}\) error estimates for difference approximations of degenerate convection-diffusion equations. Zbl 1300.65067Karlsen, K. H.; Risebro, N. H.; Storrøsten, E. B. 7 2014 Analysis and numerical approximation of Brinkman regularization of two-phase flows in porous media. Zbl 1392.76075Coclite, G. M.; Mishra, S.; Risebro, N. H.; Weber, F. 6 2014 On an inverse problem for scalar conservation laws. Zbl 1286.35266Holden, Helge; Priuli, Fabio Simone; Risebro, Nils Henrik 2 2014 Convergence of a relaxation scheme for a \(2\times 2\) triangular system of conservation laws. Zbl 1320.65127Agrell, Christian; Risebro, Nils Henrik 1 2014 Operator splitting for partial differential equations with Burgers nonlinearity. Zbl 1260.35184Holden, Helge; Lubich, Christian; Risebro, Nils Henrik 27 2013 A note on front tracking for the Keyfitz-Kranzer system. Zbl 1316.35192Risebro, N. H.; Weber, F. 1 2013 Finite difference schemes for the symmetric Keyfitz-Kranzer system. Zbl 1277.65070Koley, Ujjwal; Risebro, Nils Henrik 1 2013 Higher-order finite difference schemes for the magnetic induction equations with resistivity. Zbl 1252.78033Koley, U.; Mishra, S.; Risebro, N. H.; Svärd, M. 10 2012 An error estimate for the finite difference approximation to degenerate convection-diffusion equations. Zbl 1248.65098Karlsen, K. H.; Koley, U.; Risebro, N. H. 6 2012 A hyperbolic-elliptic model of two-phase flow in porous media-existence of entropy solutions. Zbl 1277.76100Coclite, G. M.; Karlsen, K. H.; Mishra, S.; Risebro, N. H. 5 2012 A theory of \(L ^{1}\)-dissipative solvers for scalar conservation laws with discontinuous flux. Zbl 1261.35088Andreianov, Boris; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik 62 2011 Front tracking for hyperbolic conservation laws. Paperback ed. Zbl 1239.35003Holden, Helge; Risebro, Nils Henrik 31 2011 Operator splitting for the KdV equation. Zbl 1219.35235Holden, Helge; Karlsen, Kenneth H.; Risebro, Nils Henrik; Tao, Terence 27 2011 Approximate Riemann solvers and robust high-order finite volume schemes for multi-dimensional ideal MHD equations. Zbl 1364.76113Fuchs, Franz Georg; McMurry, Andrew D.; Mishra, Siddhartha; Risebro, Nils Henrik; Waagan, Knut 12 2011 Splitting methods for partial differential equations with rough solutions. Analysis and Matlab programs. Zbl 1191.35005Holden, Helge; Karlsen, Kenneth H.; Lie, Knut-Andreas; Risebro, Nils Henrik 49 2010 On vanishing viscosity approximation of conservation laws with discontinuous flux. Zbl 1270.35305Andreianov, Boris; Karlsen, Kenneth H.; Risebro, Nils H. 24 2010 Convergence of an Engquist-Osher scheme for a multi-dimensional triangular system of conservation laws. Zbl 1369.65108Coclite, G. M.; Mishra, S.; Risebro, N. H. 8 2010 High-order well-balanced finite volume schemes for simulating wave propagation in stratified magnetic atmospheres. Zbl 1190.76153Fuchs, F. G.; McMurry, A. D.; Mishra, S.; Risebro, N. H.; Waagan, K. 8 2010 Front tracking for a model of immiscible gas flow with large data. Zbl 1425.76214Holden, Helge; Risebro, Nils Henrik; Sande, Hilde 7 2010 Finite volume methods for wave propagation in stratified magneto-atmospheres. Zbl 1364.76114Fuchs, Franz Georg; Mcmurry, Andrew D.; Mishra, Siddhartha; Risebro, Nils Henrik; Waagan, Knut 1 2010 Stable upwind schemes for the magnetic induction equation. Zbl 1177.78057Fuchs, Franz G.; Karlsen, Kenneth H.; Mishra, Siddharta; Risebro, Nils H. 15 2009 The solution of the Cauchy problem with large data for a model of a mixture of gases. Zbl 1178.35248Holden, Helge; Risebro, Nils Henrik; Sande, Hilde 12 2009 Convergence of finite volume schemes for triangular systems of conservation laws. Zbl 1190.65133Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha; Risebro, Nils Henrik 11 2009 Higher order finite difference schemes for the magnetic induction equations. Zbl 1168.78317Koley, Ujjwal; Mishra, Siddhartha; Risebro, Nils Henrik; Svärd, Magnus 10 2009 Splitting based finite volume schemes for ideal MHD equations. Zbl 1259.76021Fuchs, F. G.; Mishra, S.; Risebro, N. H. 9 2009 An introduction to the theory of scalar conservation laws with spatially discontinuous flux functions. Zbl 1191.74032Risebro, Nils Henrik 7 2009 A convergent finite-difference method for a nonlinear variational wave equation. Zbl 1236.65112Holden, H.; Karlsen, K. H.; Risebro, N. H. 7 2009 Well-balanced schemes for conservation laws with source terms based on a local discontinuous flux formulation. Zbl 1198.35149Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha; Risebro, Nils Henrik 6 2009 Semi-Godunov schemes for multiphase flows in porous media. Zbl 1191.35022Karlsen, K. H.; Mishra, S.; Risebro, N. H. 5 2009 Convergence of vanishing viscosity approximations of \(2\times 2\) triangular systems of multi-dimensional conservation laws. Zbl 1178.35246Coclite, G. M.; Karlsen, K. H.; Mishra, S.; Risebro, N. H. 4 2009 Convergence of front tracking and the Glimm scheme for a model of the flow of immiscible gases. Zbl 1404.65119Holden, Helge; Risebro, Nils Henrik; Sande, Hilde 1 2009 Numerical schemes for computing discontinuous solutions of the Degasperis-Procesi equation. Zbl 1246.76114Coclite, G. M.; Karlsen, K. H.; Risebro, N. H. 28 2008 A convergent finite difference scheme for the Camassa–Holm equation with general \(H^1\) initial data. Zbl 1172.35310Coclite, G. M.; Karlsen, K. H.; Risebro, N. H. 17 2008 An explicit finite difference scheme for the Camassa-Holm equation. Zbl 1191.35021Coclite, Giuseppe Maria; Karlsen, Kenneth H.; Risebro, Nils Henrik 8 2008 Semi-Godunov schemes for general triangular systems of conservation laws. Zbl 1133.76033Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha; Risebro, Nils Henrik 2 2008 Convergent difference schemes for the Hunter–Saxton equation. Zbl 1114.65101Holden, H.; Karlsen, K. H.; Risebro, N. H. 13 2007 Viscosity solutions of Hamilton-Jacobi equations with discontinuous coefficients. Zbl 1144.35016Coclite, Giuseppe Maria; Risebro, Nils Henrik 10 2007 Conservation laws with time dependent discontinuous coefficients. Zbl 1078.35071Coclite, Giuseppe Maria; Risebro, Nils Henrik 20 2005 A relaxation scheme for continuous sedimentation in ideal clarifier-thickener units. Zbl 1122.76063Bürger, R.; Karlsen, K. H.; Risebro, N. H. 10 2005 Well-posedness in \(BV_t\) and convergence of a difference scheme for continuous sedimentation in ideal clarifier-thickener units. Zbl 1053.76047Bürger, R.; Karlsen, K. H.; Risebro, N. H.; Towers, J. D. 53 2004 Monotone difference approximations for the simulation of clarifier-thickener units. Zbl 1299.76283Bürger, R.; Karlsen, K. H.; Risebro, N. H.; Towers, J. D. 14 2004 A relaxation scheme for conservation laws with a discontinuous coefficient. Zbl 1078.65076Karlsen, K. H.; Klingenberg, C.; Risebro, N. H. 10 2004 Front tracking for scalar balance equations. Zbl 1053.35088Karlsen, K. H.; Risebro, N. H.; Towers, J. D. 6 2004 \(L^1\) stability for entropy solutions of nonlinear degenerate parabolic convection-diffusion equations with discontinuous coefficients. Zbl 1036.35104Karlsen, K. H.; Risebro, N. H.; Towers, J. D. 64 2003 On the uniqueness and stability of entropy solutions of nonlinear degenerate parabolic equations with rough coefficients. Zbl 1027.35057Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik 57 2003 A front tracking approach to a model of continuous sedimentation in ideal clarifier-thickener units. Zbl 1013.35052Bürger, R.; Karlsen, K. H.; Klingenberg, C.; Risebro, N. H. 24 2003 When are HJB-equations in stochastic control of delay systems finite dimensional? Zbl 1052.60051Larssen, Bjørnar; Risebro, Nils Henrik 23 2003 On uniqueness and existence of entropy solutions of weakly coupled systems of nonlinear degenerate parabolic equations. Zbl 1036.35102Holden, Helge; Karlsen, Kenneth H.; Risebro, Nils H. 8 2003 On a model for continuous sedimentation in vessels with discontinuous cross-sectional area. Zbl 1059.76542Bürger, R.; Karlsen, K. H.; Risebro, N. H.; Towers, J. D. 7 2003 Front tracking for hyperbolic conservation laws. Zbl 1006.35002Holden, Helge; Risebro, Nils Henrik 85 2002 Upwind difference approximations for degenerate parabolic convection-diffusion equations with a discontinuous coefficient. Zbl 1014.65073Karlsen, K. H.; Risebro, N. H.; Towers, J. D. 50 2002 On a nonlinear degenerate parabolic transport-diffusion equation with a discontinuous coefficient. Zbl 1015.35049Karlsen, Kenneth H.; Risebro, Nils H.; Towers, John D. 23 2002 A note on front tracking and the equivalence between viscosity solutions of Hamilton-Jacobi equations and entropy solutions of scalar conservation laws. Zbl 1010.35026Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik 12 2002 Unconditionally stable methods for Hamilton-Jacobi equations. Zbl 1143.65365Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik 8 2002 Convergence of finite difference schemes for viscous and inviscid conservation laws with rough coefficients. Zbl 1032.76048Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik 32 2001 Stability of a resonant system of conservation laws modeling polymer flow with gravitation. Zbl 0977.35083Klingenberg, Christian; Risebro, Nils Henrik 25 2001 On the convergence rate of operator splitting for Hamilton-Jacobi equations with source terms. Zbl 1059.70012Jakobsen, Espen Robstad; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik 11 2001 Operator splitting for convection-dominated nonlinear partial differential equations. Zbl 0989.65093Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Risebro, Nils Henrik 1 2001 Corrected operator splitting for nonlinear parabolic equations. Zbl 0951.35080Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik 13 2000 A fast marching method for reservoir simulation. Zbl 0997.76062Karlsen, K. Hvistendahl; Lie, K.-A.; Risebro, N. H. 7 2000 Front tracking and operator splitting for nonlinear degenerate convection-diffusion equations. Zbl 0961.65073Evje, S.; Karlsen, K. Hvistendahl; Lie, K. A.; Risebro, N. H. 6 2000 Stability of conservation laws with discontinuous coefficients. Zbl 0935.35097Klausen, Runhild Aae; Risebro, Nils Henrik 30 1999 Operator splitting methods for generalized Korteweg-de Vries equations. Zbl 0947.65102Holden, Helge; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik 20 1999 An unconditionally stable method for the Euler equations. Zbl 0922.76251Holden, Helge; Lie, Knut-Andreas; Risebro, Nils Henrik 11 1999 Riemann problems with a kink. Zbl 0926.35087Holden, Helge; Risebro, Nils Henrik 10 1999 A front tracking method for conservation laws with boundary conditions. Zbl 0928.35098Hvistendahl, K.; Lie, K.-A.; Risebro, N. H. 3 1999 Well-posedness of a \(2\times 2\) system of resonant conservation laws. Zbl 0931.35094Klausen, Runhild Aae; Risebro, Nils Henrik 2 1999 Continuous dependence in the large for some equations of gas dynamics. Zbl 0927.35082Colombo, Rinaldo M.; Risebro, Nils H. 11 1998 Conservation laws with a random source. Zbl 0885.35069Holden, H.; Risebro, N. H. 27 1997 An operator splitting method for nonlinear convection-diffusion equations. Zbl 0882.35074Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik 21 1997 Reservoir simulation by front tracking. Zbl 0976.35509Gimse, T.; Holden, H.; Risebro, N. H. 1 1996 A mathematical model of traffic flow on a network of unidirectional roads. Zbl 0833.35089Holden, Helge; Risebro, Nils Henrik 65 1995 Convex conservation laws with discontinuous coefficients. Existence, uniqueness and asymptotic behavior. Zbl 0836.35090Klingenberg, Christian; Risebro, Nils Henrik 60 1995 Maximum principles for a class of conservation laws. Zbl 0843.35056Holden, Helge; Risebro, Nils Henrik; Tveito, Aslak 1 1995 A front-tracking alternative to the random choice method. Zbl 0799.35153Risebro, Nils Henrik 25 1993 A method of fractional steps for scalar conservation laws without the CFL conditions. Zbl 0799.35150Holden, Helge; Risebro, Nils Henrik 9 1993 FRONTLINE and FRONTSIM: Two full scale, two-phase, black oil reservoir simulators based on front tracking. Zbl 0780.76073Bratvedt, Frode; Bratvedt, Kyrre; Buchholz, Christian F.; Gimse, Tore; Holden, Helge; Holden, Lars; Risebro, Nils Henrik 8 1993 A conservative front tracking scheme for 1D hyperbolic conservation laws. Zbl 0964.65517Langseth, Jan Olav; Risebro, Nils Henrik; Tveito, Aslak 4 1993 Solution of the Cauchy problem for a conservation law with a discontinuous flux function. Zbl 0776.35034Gimse, Tore; Risebro, Nils Henrik 71 1992 A front tracking method for conservation laws in one dimension. Zbl 0756.65120Risebro, N. H.; Tveito, A. 15 1992 Riemann problems with a discontinuous flux function. Zbl 0789.35102Gimse, Tore; Risebro, Nils Henrik 39 1991 Front tracking applied to a nonstrictly hyperbolic system of conservation laws. Zbl 0736.65075Risebro, Nils Henrik; Tveito, Aslak 15 1991 A stochastic approach to conservation laws. Zbl 0789.35103Holden, H.; Risebro, N. H. 10 1991 ...and 2 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,035 Authors 55 Risebro, Nils Henrik 53 Karlsen, Kenneth Hvistendahl 32 Bürger, Raimund 29 Mishra, Siddhartha 27 Coclite, Giuseppe Maria 23 Holden, Helge 22 Colombo, Rinaldo M. 18 Goatin, Paola 17 Andreianov, Boris 17 Piccoli, Benedetto 13 Diehl, Stefan 13 Koley, Ujjwal 12 Rosini, Massimiliano Daniele 12 Shen, Wen 11 Amadori, Debora 11 Herty, Michael Matthias 11 Jakobsen, Espen Robstad 11 Towers, John D. 10 Garavello, Mauro 9 Chen, Gui-Qiang G. 9 Gowda, G. D. Veerappa 9 Klingenberg, Christian 9 Schwab, Christoph 8 Adimurthi, A. 8 Corli, Andrea 8 Frid, Hermano 8 Göttlich, Simone 8 Ostermann, Alexander 8 Raynaud, Xavier 8 Rohde, Christian 7 Bressan, Alberto 7 Evje, Steinar 7 Fjordholm, Ulrik Skre 7 Gess, Benjamin 7 Wang, Guodong 6 Berres, Stefan 6 Cancès, Clément 6 Di Ruvo, Lorenzo 6 Donadello, Carlotta 6 Geiser, Jürgen 6 Lie, Knut-Andreas 6 Majee, Ananta K. 6 Rossi, Elena 6 Sepúlveda, Mauricio A. 6 Shen, Chun 6 Storrøsten, Erlend Briseid 6 Tian, Lixin 6 Weber, Franziska 6 Wu, Xinglong 5 Ancona, Fabio 5 Asakura, Fumioki 5 Bauzet, Caroline 5 Biswas, Imran H. 5 Christoforou, Cleopatra C. 5 Cifani, Simone 5 Csomós, Petra 5 Dutta, Rajib 5 Gosse, Laurent 5 Guerra, Graziano 5 Hofmanová, Martina 5 Klar, Axel 5 Mitrovic, Darko 5 Panov, Evgeniy Yu. 5 Ruiz-Baier, Ricardo 5 Shu, Chi-Wang 5 Sun, Meina 5 Tadmor, Eitan 4 Abreu, Eduardo 4 Bretti, Gabriella 4 Briani, Maya 4 Chalons, Christophe 4 Coronel, Aníbal 4 Cristiani, Emiliano 4 D’Apice, Ciro 4 Di Francesco, Marco 4 Flåtten, Tore 4 Fuchs, Franz Georg 4 Ghoshal, Shyam Sundar 4 Gugat, Martin 4 Hu, Yanbo 4 Kröker, Ilja 4 LeFloch, Philippe Gerard 4 Leugering, Günter 4 Li, Yachun 4 Liu, Yue 4 Marcellini, Francesca 4 Ridder, Johanna 4 Saad, Mazen 4 Sarkar, Tanmay 4 Schleper, Veronika 4 Schneider, Kai 4 Schratz, Katharina 4 Seguin, Nicolas 4 Svärd, Magnus 4 Vallet, Guy 4 Zhan, Huashui 3 Abdelrahman, Mahmoud Abdelaziz Elbiomy 3 Alvarez-Vázquez, Lino Jose 3 Amorim, Paulo 3 Aursand, Peder ...and 935 more Authors all top 5 Cited in 174 Serials 52 Journal of Computational Physics 51 Journal of Differential Equations 28 Journal of Mathematical Analysis and Applications 27 Journal of Hyperbolic Differential Equations 27 Networks and Heterogeneous Media 26 Journal of Computational and Applied Mathematics 26 Applied Numerical Mathematics 24 Mathematics of Computation 23 Applied Mathematics and Computation 21 Numerische Mathematik 19 Journal of Scientific Computing 16 SIAM Journal on Numerical Analysis 16 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 15 Archive for Rational Mechanics and Analysis 15 Computers & Mathematics with Applications 15 BIT 13 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 12 Discrete and Continuous Dynamical Systems 11 ZAMP. Zeitschrift für angewandte Mathematik und Physik 11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 11 Computational Geosciences 11 Nonlinear Analysis. Real World Applications 10 Journal of Engineering Mathematics 10 Communications in Partial Differential Equations 9 SIAM Journal on Scientific Computing 9 Discrete and Continuous Dynamical Systems. Series S 8 SIAM Journal on Applied Mathematics 8 SIAM Journal on Mathematical Analysis 7 Journal of Functional Analysis 7 Quarterly of Applied Mathematics 7 Applied Mathematics Letters 6 Computers and Fluids 6 Computer Methods in Applied Mechanics and Engineering 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Numerical Methods for Partial Differential Equations 6 Discrete and Continuous Dynamical Systems. Series B 5 Communications in Mathematical Physics 5 Journal of Mathematical Physics 5 Proceedings of the American Mathematical Society 5 NoDEA. Nonlinear Differential Equations and Applications 5 Stochastic and Partial Differential Equations. Analysis and Computations 4 Applicable Analysis 4 International Journal for Numerical Methods in Engineering 4 Journal of Optimization Theory and Applications 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Stochastic Processes and their Applications 4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 4 Journal of Evolution Equations 4 Bulletin of the Brazilian Mathematical Society. New Series 3 International Journal for Numerical Methods in Fluids 3 Applied Mathematics and Optimization 3 SIAM Journal on Control and Optimization 3 Acta Applicandae Mathematicae 3 Mathematical and Computer Modelling 3 Communications in Nonlinear Science and Numerical Simulation 3 Portugaliae Mathematica. Nova Série 3 Acta Numerica 3 Advances in Difference Equations 3 Boundary Value Problems 3 Mathematical Control and Related Fields 2 Acta Mechanica 2 Advances in Applied Probability 2 Communications on Pure and Applied Mathematics 2 Indian Journal of Pure & Applied Mathematics 2 Inverse Problems 2 Mathematical Notes 2 Physica A 2 Advances in Mathematics 2 Chinese Annals of Mathematics. Series B 2 Applied Mathematical Modelling 2 International Journal of Computer Mathematics 2 Mathematical Problems in Engineering 2 Computing and Visualization in Science 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 The ANZIAM Journal 2 Foundations of Computational Mathematics 2 Computational Methods in Applied Mathematics 2 Milan Journal of Mathematics 2 Multiscale Modeling & Simulation 2 Kinetic and Related Models 2 International Journal of Differential Equations 2 Science China. Mathematics 2 SMAI Journal of Computational Mathematics 1 Journal of Fluid Mechanics 1 Journal of the Franklin Institute 1 Journal of Statistical Physics 1 Mathematical Methods in the Applied Sciences 1 Physics Letters. A 1 Reviews in Mathematical Physics 1 Acta Mathematica Vietnamica 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Annals of Probability 1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 1 Automatica 1 Calcolo 1 Integral Equations and Operator Theory 1 Monatshefte für Mathematik 1 Quaestiones Mathematicae ...and 74 more Serials all top 5 Cited in 37 Fields 616 Partial differential equations (35-XX) 374 Numerical analysis (65-XX) 236 Fluid mechanics (76-XX) 98 Operations research, mathematical programming (90-XX) 61 Probability theory and stochastic processes (60-XX) 41 Calculus of variations and optimal control; optimization (49-XX) 26 Systems theory; control (93-XX) 24 Mechanics of deformable solids (74-XX) 22 Ordinary differential equations (34-XX) 21 Statistical mechanics, structure of matter (82-XX) 19 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 19 Biology and other natural sciences (92-XX) 16 Dynamical systems and ergodic theory (37-XX) 16 Operator theory (47-XX) 13 Integral equations (45-XX) 13 Geophysics (86-XX) 11 Optics, electromagnetic theory (78-XX) 6 Quantum theory (81-XX) 6 Astronomy and astrophysics (85-XX) 5 Mechanics of particles and systems (70-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Functional analysis (46-XX) 4 Differential geometry (53-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Approximations and expansions (41-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 2 Relativity and gravitational theory (83-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 General topology (54-XX) 1 Citations by Year