Edit Profile (opens in new tab) Bürger, Raimund Compute Distance To: Compute Author ID: burger.raimund Published as: Bürger, Raimund; Bürger, R. Documents Indexed: 142 Publications since 1998, including 1 Book 5 Contributions as Editor Co-Authors: 81 Co-Authors with 141 Joint Publications 1,562 Co-Co-Authors all top 5 Co-Authors 3 single-authored 31 Karlsen, Kenneth Hvistendahl 23 Mulet, Pep 19 Ruiz-Baier, Ricardo 17 Villada, Luis Miguel 15 Towers, John D. 12 Berres, Stefan 12 Diehl, Stefan 11 Sepúlveda, Mauricio A. 10 Wendland, Wolfgang L. 7 Tory, Elmer M. 6 Careaga, Julio 6 Torres, Héctor 6 Zorío, David 5 Baeza, Antonio 5 Bendahmane, Mostafa 5 Betancourt, Fernando 5 Chalons, Christophe 5 Chowell, Gerardo 5 Coronel, Aníbal 5 Risebro, Nils Henrik 5 Schneider, Kai 5 Vega, Carlos A. 4 Kozakevicius, Alice J. 4 Kröker, Ilja 4 Méndez, Paul E. 3 Concha, Fernando 3 Donat, Rosa 3 Fernández-Nieto, Enrique Domingo 3 Frid, Hermano 3 Inzunza, Daniel 3 Kumar, Sarvesh 3 Martí, María Carmen 3 Ordoñez, Rafael 3 Rubio, Lihki 3 Ruiz, Ricardo M. 2 Acosta, Carlos Daniel 2 Boscarino, Sebastiano 2 Gavilán, Elvis 2 Kumar Kenettinkara, Sudarshan 2 Kunik, Matthias 2 Martí, María Del Carmen 2 Mejías, Camilo 2 Osores, Víctor 2 Pineda, Romel 2 Rodríguez, Rodolfo 2 Rohde, Christian 2 Russo, Giovanni 1 Amorim, Paulo 1 Baird, Graham 1 Basson, David K. 1 Bustos, María Cristina 1 Evje, Steinar 1 Farås, Sebastian 1 Fjelde, Kjell Kåre 1 Gatica, Gabriel N. 1 Goatin, Paola 1 Guerrero, Francisco 1 Heuer, Norbert 1 Höfler, Kai 1 Karlsen, Hvistendahl K. 1 Klingenberg, Christian 1 Koné, El Hadji 1 Lara-Díaz, Leidy Yissedt 1 Lara-Díıaz, Leidy Yissedt 1 Liu, Chun 1 Mejía, Carlos E. 1 Mishra, Siddhartha 1 Mora, David 1 Morales de Luna, Tomás 1 Nair, Manoj T. 1 Neelan, A. Arun Govind 1 Nopens, Ingmar 1 Parés Madroñal, Carlos 1 Scheider, Kai 1 Steinbach, Olaf 1 Stephan, Ernst Peter 1 Sudarshan Kumar, Kenettinkara 1 Tian, Canrong 1 Torfs, Elena 1 Urbano, José Miguel 1 Vanrolleghem, Peter A. 1 Verma, Nitesh all top 5 Serials 8 Journal of Engineering Mathematics 7 Applied Numerical Mathematics 7 Numerical Methods for Partial Differential Equations 7 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 6 SIAM Journal on Scientific Computing 5 Journal of Computational Physics 5 Applied Mathematical Modelling 5 Mathematical Biosciences and Engineering 4 Journal of Mathematical Analysis and Applications 4 Mathematical Methods in the Applied Sciences 4 Numerische Mathematik 4 Journal of Scientific Computing 4 SIAM Journal on Applied Mathematics 4 Networks and Heterogeneous Media 3 Computers & Mathematics with Applications 3 IMA Journal of Applied Mathematics 3 SIAM Journal on Numerical Analysis 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Advances in Applied Mathematics and Mechanics 2 Journal of Computational and Applied Mathematics 2 Mathematics and Computers in Simulation 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 SIAM Journal on Mathematical Analysis 2 Computing and Visualization in Science 2 Nonlinear Analysis. Real World Applications 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Scientia. Series A: Mathematical Sciences. New Series 2 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Acta Mechanica 1 Computer Methods in Applied Mechanics and Engineering 1 IMA Journal of Numerical Analysis 1 International Journal of Multiphase Flow 1 International Journal of Solids and Structures 1 Inverse Problems 1 Mathematical Biosciences 1 Nonlinearity 1 Mathematics of Computation 1 Applied Mathematics and Computation 1 Mathematical and Computer Modelling 1 European Journal of Applied Mathematics 1 Computational and Applied Mathematics 1 Advances in Computational Mathematics 1 Communications in Mathematical Sciences 1 International Journal of Numerical Analysis and Modeling 1 Boletín de la Sociedad Española de Matemática Aplicada. S\(\vec{\text{e}}\)MA 1 Results in Applied Mathematics 1 Mathematical Modelling: Theory and Applications all top 5 Fields 94 Partial differential equations (35-XX) 92 Fluid mechanics (76-XX) 86 Numerical analysis (65-XX) 16 Biology and other natural sciences (92-XX) 13 Operations research, mathematical programming (90-XX) 7 Geophysics (86-XX) 6 Mechanics of deformable solids (74-XX) 5 General and overarching topics; collections (00-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 108 Publications have been cited 1,096 times in 529 Documents Cited by ▼ Year ▼ Strongly degenerate parabolic-hyperbolic systems modeling polydisperse sedimentation with compression. Zbl 1047.35071Berres, Stefan; Bürger, Raimund; Karlsen, Kenneth H.; Tory, Elmer M. 70 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. 57 2004 On nonlocal conservation laws modelling sedimentation. Zbl 1381.76368Betancourt, F.; Bürger, R.; Karlsen, K. H.; Tory, E. M. 49 2011 An Engquist-Osher-type scheme for conservation laws with discontinuous flux adapted to flux connections. Zbl 1201.35022Bürger, Raimund; Karlsen, Kenneth H.; Towers, John D. 49 2009 Sedimentation and thickening. Phenomenological foundation and mathematical theory. Zbl 0936.76001Bustos, María Cristina; Concha, Fernando; Bürger, Raimund; Tory, Elmer M. 41 1999 A model of continuous sedimentation of flocculated suspensions in clarifier-thickener units. Zbl 1089.76061Bürger, Raimund; Karlsen, Kenneth H.; Towers, John D. 37 2005 A family of numerical schemes for kinematic flows with discontinuous flux. Zbl 1200.76126Bürger, R.; García, A.; Karlsen, K. H.; Towers, J. D. 36 2008 Model equations for gravitational sedimentation-consolidation processes. Zbl 0967.35107Bürger, R.; Wendland, W. L.; Concha, F. 31 2000 Adaptive multiresolution WENO schemes for multi-species kinematic flow models. Zbl 1123.65305Bürger, Raimund; Kozakevicius, Alice 28 2007 On strongly degenerate convection-diffusion problems modeling sedimentation-consolidation processes. Zbl 0961.35078Bürger, R.; Evje, S.; Karlsen, K. Hvistendahl 26 2000 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. 25 2003 Linearly implicit IMEX Runge-Kutta methods for a class of degenerate convection-diffusion problems. Zbl 1320.65131Boscarino, Sebastiano; Bürger, Raimund; Mulet, Pep; Russo, Giovanni; Villada, Luis M. 23 2015 A stabilized finite volume element formulation for sedimentation-consolidation processes. Zbl 1246.65177Bürger, Raimund; Ruiz-Baier, Ricardo; Torres, Héctor 22 2012 On the well-posedness of entropy solutions to conservation laws with a zero-flux boundary condition. Zbl 1160.35048Bürger, Raimund; Frid, Hermano; Karlsen, Kenneth H. 21 2007 Discontinuous finite volume element discretization for coupled flow-transport problems arising in models of sedimentation. Zbl 1351.76098Bürger, Raimund; Kumar, Sarvesh; Ruiz-Baier, Ricardo 18 2015 On a diffusively corrected kinematic-wave traffic flow model with changing road surface conditions. Zbl 1055.35071Bürger, R.; Karlsen, K. H. 18 2003 On the implementation of WENO schemes for a class of polydisperse sedimentation models. Zbl 1391.76465Bürger, Raimund; Donat, Rosa; Mulet, Pep; Vega, Carlos A. 17 2011 Model equations and instability regions for the sedimentation of polydisperse suspensions of spheres. Zbl 1011.35017Bürger, R.; Karlsen, K. H.; Tory, E. M.; Wendland, W. L. 16 2002 On a doubly nonlinear diffusion model of chemotaxis with prevention of overcrowding. Zbl 1178.35213Bendahmane, Mostafa; Bürger, Raimund; Ruiz-Baier, Ricardo; Urbano, José Miguel 16 2009 Numerical identification of parameters for a strongly degenerate convection-diffusion problem modelling centrifugation of flocculated suspensions. Zbl 1062.65099Berres, S.; Bürger, R.; Coronel, A.; Sepúlveda, M. 15 2005 Central schemes and systems of conservation laws with discontinuous coefficients modeling gravity separation of polydisperse suspensions. Zbl 1107.76366Berres, S.; Bürger, R.; Karlsen, K. H. 14 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 Central difference solutions of the kinematic model of settling of polydisperse suspensions and three-dimensional particle-scale simulations. Zbl 1014.76060Bürger, 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 1173.35586Bürger, Raimund; García, Antonio; Karlsen, Kenneth H.; Towers, John D. 14 2008 Existence and stability for mathematical models of sedimentation-consolidation processes in several space dimensions. Zbl 0995.35050Bürger, R.; Liu, C.; Wendland, W. L. 12 2001 Hyperbolicity analysis of polydisperse sedimentation models via a secular equation for the flux Jacobian. Zbl 1223.35226Bürger, Raimund; Donat, Rosa; Mulet, Pep; Vega, Carlos A. 12 2010 Regularized nonlinear solvers for IMEX methods applied to diffusively corrected multispecies kinematic flow models. Zbl 1426.76459Bürger, Raimund; Mulet, Pep; Villada, Luis M. 11 2013 On some upwind difference schemes for the phenomenological sedimentation-consolidation model. Zbl 1128.76341Bürger, R.; Karlsen, Hvistendahl K. 11 2001 Adaptive multiresolution schemes with local time stepping for two-dimensional degenerate reaction-diffusion systems. Zbl 1400.65042Bendahmane, Mostafa; Bürger, Raimund; Ruiz-Baier, Ricardo; Schneider, Kai 11 2009 Adaptive multiresolution methods for the simulation of waves in excitable media. Zbl 1203.65158Bürger, Raimund; Ruiz-Baier, Ricardo; Schneider, Kai 11 2010 A hybrid stochastic Galerkin method for uncertainty quantification applied to a conservation law modelling a clarifier-thickener unit. Zbl 1301.65126Bürger, Raimund; Kröker, Ilja; Rohde, Christian 10 2014 On linearly implicit IMEX Runge-Kutta methods for degenerate convection-diffusion problems modeling polydisperse sedimentation. Zbl 1338.65223Boscarino, Sebastiano; Bürger, Raimund; Mulet, Pep; Russo, Giovanni; Villada, Luis Miguel 10 2016 Discontinuous approximation of viscous two-phase flow in heterogeneous porous media. Zbl 1349.76313Bürger, Raimund; Kumar, Sarvesh; Sudarshan Kumar, Kenettinkara; Ruiz-Baier, Ricardo 10 2016 Mathematical model and numerical simulation of the liquid fluidization of polydisperse solid particle mixtures. Zbl 1299.76282Berres, S.; Bürger, R.; Tory, E. M. 10 2004 A relaxation scheme for continuous sedimentation in ideal clarifier-thickener units. Zbl 1122.76063Bürger, R.; Karlsen, K. H.; Risebro, N. H. 10 2005 Conservation laws with discontinuous flux: a short introduction. Zbl 1138.35365Bürger, Raimund; Karlsen, Kenneth H. 10 2008 Second-order schemes for conservation laws with discontinuous flux modelling clarifier-thickener units. Zbl 1204.65101Bürger, Raimund; Karlsen, Kenneth H.; Torres, Héctor; Towers, John D. 10 2010 A multiresolution space-time adaptive scheme for the bidomain model in electrocardiology. Zbl 1206.92004Bendahmane, Mostafa; Bürger, Raimund; Ruiz-Baier, Ricardo 10 2010 On models of polydisperse sedimentation with particle-size-specific hindered-settling factors. Zbl 1205.76265Basson, David K.; Berres, Stefan; Bürger, Raimund 10 2009 Fully adaptive multiresolution schemes for strongly degenerate parabolic equations in one space dimension. Zbl 1147.65066Bürger, Raimund; Ruiz, Ricardo; Schneider, Kai; Sepúlveda, Mauricio 9 2008 A semi-implicit monotone difference scheme for an initial-boundary value problem of a strongly degenerate parabolic equation modeling sedimentation-consolidation processes. Zbl 1082.65081Bürger, Raimund; Coronel, Aníbal; Sepúlveda, Mauricio 9 2006 A multilayer shallow water system for polydisperse sedimentation. Zbl 1286.76158Fernández-Nieto, E. D.; Koné, E. H.; Morales de Luna, T.; Bürger, R. 9 2013 Entropy boundary and jump conditions in the theory of sedimentation with compression. Zbl 0907.35089Bürger, Raimund; Wendland, Wolfgang L. 8 1998 Fully adaptive multiresolution schemes for strongly degenerate parabolic equations with discontinuous flux. Zbl 1137.65393Bürger, Raimund; Ruiz, Ricardo; Schneider, Kai; Sepúlveda, Mauricio A. 8 2008 A generalized kinetic model of sedimentation of polydisperse suspensions with a continuous particle size distribution. Zbl 1156.82394Bürger, Raimund; Garcia, Antonio; Kunik, Matthias 8 2008 Existence, uniqueness, and stability of generalized solutions of an initial-boundary value problem for a degenerating quasilinear parabolic equation. Zbl 0891.35067Bürger, Raimund; Wendland, Wolfgang L. 7 1998 On an extended clarifier-thickener model with singular source and sink terms. Zbl 1201.35130Bürger, R.; Garcia, A.; Karlsen, K. H.; Towers, J. D. 7 2006 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 Sedimentation and suspension flows: Historical perspective and some recent developments. Zbl 1014.76003Bürger, Raimund; Wendland, Wolfgang L. 7 2001 On \(\boldsymbol{H}(\operatorname{div})\)-conforming methods for double-diffusion equations in porous media. Zbl 1422.65373Bürger, Raimund; Méndez, Paul E.; Ruiz-Baier, Ricardo 7 2019 On gravity and centrifugal settling of polydisperse suspensions forming compressible sediments. Zbl 1059.76072Berres, Stefan; Bürger, Raimund 6 2003 WENO reconstructions of unconditionally optimal high order. Zbl 1434.65105Baeza, Antonio; Bürger, Raimund; Mulet, Pep; Zorío, David 6 2019 A strongly degenerate parabolic aggregation equation. Zbl 1272.35125Betancourt, F.; Bürger, R.; Karlsen, K. H. 6 2011 On a free boundary problem for a strongly degenerate quasi-linear parabolic equation with an application to a model of pressure filtration. Zbl 1038.35174Bürger, Raimund; Frid, Hermano; Karlsen, Kenneth H. 6 2003 A critical look at the kinematic-wave theory for sedimentation-consolidation processes in closed vessels. Zbl 1068.76084Bürger, R.; Kunik, M. 6 2001 Numerical solution of a spatio-temporal gender-structured model for hantavirus infection in rodents. Zbl 1379.92055Bürger, Raimund; Chowell, Gerardo; Gavilán, Elvis; Mulet, Pep; Villada, Luis M. 6 2018 On some difference schemes and entropy conditions for a class of multi-species kinematic flow models with discontinuous flux. Zbl 1263.76048Bürger, Raimund; Karlsen, Kenneth H.; Towers, John D. 6 2010 A finite volume scheme for cardiac propagation in media with isotropic conductivities. Zbl 1192.92002Bendahmane, Mostafa; Bürger, Raimund; Ruiz-Baier, Ricardo 6 2010 A conservation law with discontinuous flux modelling traffic flow with abruptly changing road surface conditions. Zbl 1186.35005Bürger, Raimund; Karlsen, Kenneth H.; Towers, John D. 6 2009 On the efficient computation of smoothness indicators for a class of WENO reconstructions. Zbl 1450.65076Baeza, Antonio; Bürger, Raimund; Mulet, Pep; Zorío, David 6 2019 On mathematical models and numerical simulation of the fluidization of polydisperse suspensions. Zbl 1147.76613Berres, Stefan; Bürger, Raimund; Tory, Elmer M. 5 2005 On an upwind difference scheme for strongly degenerate parabolic equations modelling the settling of suspensions in centrifuges and non-cylindrical vessels. Zbl 1103.65091Bürger, Raimund; Coronel, Aníbal; Sepúlveda, Mauricio 5 2006 Virtual element methods for the three-field formulation of time-dependent linear poroelasticity. Zbl 1469.65146Bürger, Raimund; Kumar, Sarvesh; Mora, David; Ruiz-Baier, Ricardo; Verma, Nitesh 5 2021 An efficient third-order WENO scheme with unconditionally optimal accuracy. Zbl 1434.65106Baeza, Antonio; Bürger, Raimund; Mulet, Pep; Zorío, David 5 2020 Convexity-preserving flux identification for scalar conservation laws modelling sedimentation. Zbl 1273.35310Bürger, Raimund; Diehl, Stefan 5 2013 On conservation laws with discontinuous flux. Zbl 1076.76069Bürger, Raimund; Karlsen, Kenneth H.; Mishra, Siddharta; Towers, John D. 5 2005 Multiresolution schemes for strongly degenerate parabolic equations in one space dimension. Zbl 1114.65120Bürger, Raimund; Kozakevicius, Alice; Sepúlveda, Mauricio 5 2007 Numerical solution of an inverse problem for a scalar conservation law modelling sedimentation. Zbl 1404.65138Bürger, Raimund; Coronel, Aníbal; Sepúlveda, Mauricio 5 2009 Antidiffusive and random-sampling Lagrangian-Remap schemes for the multiclass Lighthill-Whitham-Richards traffic model. Zbl 1284.35273Bürger, Raimund; Chalons, Christophe; Villada, Luis M. 5 2013 Central WENO schemes through a global average weight. Zbl 1412.65065Baeza, Antonio; Bürger, Raimund; Mulet, Pep; Zorío, David 4 2019 Antidiffusive Lagrangian-remap schemes for models of polydisperse sedimentation. Zbl 1388.76168Bürger, Raimund; Chalons, Christophe; Villada, Luis M. 4 2016 Modelling the spatial-temporal progression of the 2009 A/H1N1 influenza pandemic in Chile. Zbl 1326.92065Bürger, Raimund; Chowell, Gerardo; Mulet, Pep; Villada, Luis M. 4 2016 On Riemann problems and front tracking for a model of sedimentation of polydisperse suspensions. Zbl 1138.35371Berres, S.; Bürger, R. 4 2007 Neumann problems for quasi-linear parabolic systems modeling polydisperse suspensions. Zbl 1113.35089Berres, Stefan; Bürger, Raimund; Frid, Hermano 4 2007 Difference schemes stabilized by discrete mollification for degenerate parabolic equations in two space dimensions. Zbl 1258.65074Acosta, Carlos D.; Bürger, Raimund 4 2012 A diffusively corrected multiclass Lighthill-Whitham-Richards traffic model with anticipation lengths and reaction times. Zbl 1288.90009Bürger, Raimund; Mulet, Pep; Villada, Luis M. 4 2013 Closed-form and finite difference solutions to a population balance model of grinding mills. Zbl 1097.74045Bürger, Raimund; Karlsen, Kenneth H.; Towers, John D. 3 2005 Numerical solution of a multi-class model for batch settling in water resource recovery facilities. Zbl 1480.65234Bürger, Raimund; Diehl, Stefan; Martí, M. Carmen; Mulet, Pep; Nopens, Ingmar; Torfs, Elena; Vanrolleghem, Peter A. 3 2017 A difference scheme for a degenerating convection-diffusion-reaction system modelling continuous sedimentation. Zbl 1412.65068Bürger, Raimund; Diehl, Stefan; Mejías, Camilo 3 2018 Computational uncertainty quantification for some strongly degenerate parabolic convection-diffusion equations. Zbl 1462.65124Bürger, Raimund; Kröker, Ilja 3 2019 Polynomial viscosity methods for multispecies kinematic flow models. Zbl 1407.65140Bürger, Raimund; Mulet, Pep; Rubio, Lihki 3 2016 Approximate Lax-Wendroff discontinuous Galerkin methods for hyperbolic conservation laws. Zbl 1395.65071Bürger, Raimund; Kenettinkara, Sudarshan Kumar; Zorío, David 3 2017 Multiresolution simulation of reaction-diffusion systems with strong degeneracy. Zbl 1242.65176Bürger, Raimund; Ruiz-Baier, Ricardo 3 2009 Spectral WENO schemes with adaptive mesh refinement for models of polydisperse sedimentation. Zbl 1277.76115Bürger, Raimund; Mulet, Pep; Villada, Luis Miguel 3 2013 Coupling of discontinuous Galerkin schemes for viscous flow in porous media with adsorption. Zbl 1448.65152Bürger, Raimund; Kenettinkara, Sudarshan Kumar; Baier, Ricardo Ruiz; Torres, Hector 3 2018 On the settling of a bidisperse suspension with particles having different sizes and densities. Zbl 1155.76411Berres, Stefan; Bürger, Raimund 3 2008 A dynamic multilayer shallow water model for polydisperse sedimentation. Zbl 1477.35159Bürger, Raimund; Fernández-Nieto, Enrique D.; Osores, Víctor 3 2019 A method-of-lines formulation for a model of reactive settling in tanks with varying cross-sectional area. Zbl 1471.76088Bürger, Raimund; Careaga, Julio; Diehl, Stefan 2 2021 Adaptive multiresolution simulation of waves in electrocardiology. Zbl 1311.94016Bürger, Raimund; Ruiz-Baier, Ricardo 2 2010 On numerical methods for hyperbolic conservation laws and related equations modelling sedimentation of solid-liquid suspensions. Zbl 1277.76059Betancourt, F.; Bürger, R.; Ruiz-Baier, R.; Torres, H.; Vega, C. A. 2 2014 Mathematical model and numerical simulation of the settling of flocculated suspensions. Zbl 1121.76430Bürger, R.; Concha, F. 2 1998 A numerical descent method for an inverse problem of a scalar conservation law modelling sedimentation. Zbl 1161.35512Bürger, R.; Coronel, A.; Sepúlveda, M. 2 2008 A random sampling method for a family of temple-class systems of conservation laws. Zbl 1405.65139Betancourt, Fernando; Bürger, Raimund; Chalons, Christophe; Diehl, Stefan; Farås, Sebastian 2 2018 Implicit-explicit methods for a class of nonlinear nonlocal gradient flow equations modelling collective behaviour. Zbl 1450.65100Bürger, Raimund; Inzunza, Daniel; Mulet, Pep; Villada, Luis M. 2 2019 A mathematical model for sedimentation-consolidation processes. Zbl 0951.76586Bürger, R.; Wendland, W. L.; Concha, F. 1 2000 Three-level order-adaptive weighted essentially non-oscillatory schemes. Zbl 07455171Neelan, A. Arun Govind; Nair, Manoj T.; Bürger, Raimund 1 2021 Hybrid stochastic Galerkin finite volumes for the diffusively corrected Lighthill-Whitham-Richards traffic model. Zbl 1368.90045Bürger, Raimund; Kröker, Ilja 1 2017 A non-local pedestrian flow model accounting for anisotropic interactions and domain boundaries. Zbl 1470.90018Bürger, Raimund; Goatin, Paola; Inzunza, Daniel; Villada, Luis Miguel 1 2020 Convergence of H(div)-conforming schemes for a new model of sedimentation in circular clarifiers with a rotating rake. Zbl 1442.76063Bürger, Raimund; Méndez, Paul E.; Ruiz-Baier, Ricardo 1 2020 Stability analysis and finite volume element discretization for delay-driven spatio-temporal patterns in a predator-prey model. Zbl 07313746Bürger, Raimund; Ruiz-Baier, Ricardo; Tian, Canrong 1 2017 Virtual element methods for the three-field formulation of time-dependent linear poroelasticity. Zbl 1469.65146Bürger, Raimund; Kumar, Sarvesh; Mora, David; Ruiz-Baier, Ricardo; Verma, Nitesh 5 2021 A method-of-lines formulation for a model of reactive settling in tanks with varying cross-sectional area. Zbl 1471.76088Bürger, Raimund; Careaga, Julio; Diehl, Stefan 2 2021 Three-level order-adaptive weighted essentially non-oscillatory schemes. Zbl 07455171Neelan, A. Arun Govind; Nair, Manoj T.; Bürger, Raimund 1 2021 Second-order schemes for axisymmetric Navier-Stokes-Brinkman and transport equations modelling water filters. Zbl 1459.65178Baird, Graham; Bürger, Raimund; Méndez, Paul E.; Ruiz-Baier, Ricardo 1 2021 An efficient third-order WENO scheme with unconditionally optimal accuracy. Zbl 1434.65106Baeza, Antonio; Bürger, Raimund; Mulet, Pep; Zorío, David 5 2020 A non-local pedestrian flow model accounting for anisotropic interactions and domain boundaries. Zbl 1470.90018Bürger, Raimund; Goatin, Paola; Inzunza, Daniel; Villada, Luis Miguel 1 2020 Convergence of H(div)-conforming schemes for a new model of sedimentation in circular clarifiers with a rotating rake. Zbl 1442.76063Bürger, Raimund; Méndez, Paul E.; Ruiz-Baier, Ricardo 1 2020 Numerical analysis of a three-species chemotaxis model. Zbl 1452.92007Bürger, Raimund; Ordoñez, Rafael; Sepúlveda, Mauricio; Villada, Luis Miguel 1 2020 On approximate implicit Taylor methods for ordinary differential equations. Zbl 1476.65122Baeza, Antonio; Bürger, Raimund; Martí, María del Carmen; Mulet, Pep; Zorío, David 1 2020 On \(\boldsymbol{H}(\operatorname{div})\)-conforming methods for double-diffusion equations in porous media. Zbl 1422.65373Bürger, Raimund; Méndez, Paul E.; Ruiz-Baier, Ricardo 7 2019 WENO reconstructions of unconditionally optimal high order. Zbl 1434.65105Baeza, Antonio; Bürger, Raimund; Mulet, Pep; Zorío, David 6 2019 On the efficient computation of smoothness indicators for a class of WENO reconstructions. Zbl 1450.65076Baeza, Antonio; Bürger, Raimund; Mulet, Pep; Zorío, David 6 2019 Central WENO schemes through a global average weight. Zbl 1412.65065Baeza, Antonio; Bürger, Raimund; Mulet, Pep; Zorío, David 4 2019 Computational uncertainty quantification for some strongly degenerate parabolic convection-diffusion equations. Zbl 1462.65124Bürger, Raimund; Kröker, Ilja 3 2019 A dynamic multilayer shallow water model for polydisperse sedimentation. Zbl 1477.35159Bürger, Raimund; Fernández-Nieto, Enrique D.; Osores, Víctor 3 2019 Implicit-explicit methods for a class of nonlinear nonlocal gradient flow equations modelling collective behaviour. Zbl 1450.65100Bürger, Raimund; Inzunza, Daniel; Mulet, Pep; Villada, Luis M. 2 2019 On entropy stable schemes for degenerate parabolic multispecies kinematic flow models. Zbl 1425.65085Bürger, Raimund; Méndez, Paul E.; Parés, Carlos 1 2019 Numerical solution of a spatio-temporal gender-structured model for hantavirus infection in rodents. Zbl 1379.92055Bürger, Raimund; Chowell, Gerardo; Gavilán, Elvis; Mulet, Pep; Villada, Luis M. 6 2018 A difference scheme for a degenerating convection-diffusion-reaction system modelling continuous sedimentation. Zbl 1412.65068Bürger, Raimund; Diehl, Stefan; Mejías, Camilo 3 2018 Coupling of discontinuous Galerkin schemes for viscous flow in porous media with adsorption. Zbl 1448.65152Bürger, Raimund; Kenettinkara, Sudarshan Kumar; Baier, Ricardo Ruiz; Torres, Hector 3 2018 A random sampling method for a family of temple-class systems of conservation laws. Zbl 1405.65139Betancourt, Fernando; Bürger, Raimund; Chalons, Christophe; Diehl, Stefan; Farås, Sebastian 2 2018 Numerical solution of a multi-class model for batch settling in water resource recovery facilities. Zbl 1480.65234Bürger, Raimund; Diehl, Stefan; Martí, M. Carmen; Mulet, Pep; Nopens, Ingmar; Torfs, Elena; Vanrolleghem, Peter A. 3 2017 Approximate Lax-Wendroff discontinuous Galerkin methods for hyperbolic conservation laws. Zbl 1395.65071Bürger, Raimund; Kenettinkara, Sudarshan Kumar; Zorío, David 3 2017 Hybrid stochastic Galerkin finite volumes for the diffusively corrected Lighthill-Whitham-Richards traffic model. Zbl 1368.90045Bürger, Raimund; Kröker, Ilja 1 2017 Stability analysis and finite volume element discretization for delay-driven spatio-temporal patterns in a predator-prey model. Zbl 07313746Bürger, Raimund; Ruiz-Baier, Ricardo; Tian, Canrong 1 2017 On linearly implicit IMEX Runge-Kutta methods for degenerate convection-diffusion problems modeling polydisperse sedimentation. Zbl 1338.65223Boscarino, Sebastiano; Bürger, Raimund; Mulet, Pep; Russo, Giovanni; Villada, Luis Miguel 10 2016 Discontinuous approximation of viscous two-phase flow in heterogeneous porous media. Zbl 1349.76313Bürger, Raimund; Kumar, Sarvesh; Sudarshan Kumar, Kenettinkara; Ruiz-Baier, Ricardo 10 2016 Antidiffusive Lagrangian-remap schemes for models of polydisperse sedimentation. Zbl 1388.76168Bürger, Raimund; Chalons, Christophe; Villada, Luis M. 4 2016 Modelling the spatial-temporal progression of the 2009 A/H1N1 influenza pandemic in Chile. Zbl 1326.92065Bürger, Raimund; Chowell, Gerardo; Mulet, Pep; Villada, Luis M. 4 2016 Polynomial viscosity methods for multispecies kinematic flow models. Zbl 1407.65140Bürger, Raimund; Mulet, Pep; Rubio, Lihki 3 2016 Linearly implicit IMEX Runge-Kutta methods for a class of degenerate convection-diffusion problems. Zbl 1320.65131Boscarino, Sebastiano; Bürger, Raimund; Mulet, Pep; Russo, Giovanni; Villada, Luis M. 23 2015 Discontinuous finite volume element discretization for coupled flow-transport problems arising in models of sedimentation. Zbl 1351.76098Bürger, Raimund; Kumar, Sarvesh; Ruiz-Baier, Ricardo 18 2015 A hybrid stochastic Galerkin method for uncertainty quantification applied to a conservation law modelling a clarifier-thickener unit. Zbl 1301.65126Bürger, Raimund; Kröker, Ilja; Rohde, Christian 10 2014 On numerical methods for hyperbolic conservation laws and related equations modelling sedimentation of solid-liquid suspensions. Zbl 1277.76059Betancourt, F.; Bürger, R.; Ruiz-Baier, R.; Torres, H.; Vega, C. A. 2 2014 Regularized nonlinear solvers for IMEX methods applied to diffusively corrected multispecies kinematic flow models. Zbl 1426.76459Bürger, Raimund; Mulet, Pep; Villada, Luis M. 11 2013 A multilayer shallow water system for polydisperse sedimentation. Zbl 1286.76158Fernández-Nieto, E. D.; Koné, E. H.; Morales de Luna, T.; Bürger, R. 9 2013 Convexity-preserving flux identification for scalar conservation laws modelling sedimentation. Zbl 1273.35310Bürger, Raimund; Diehl, Stefan 5 2013 Antidiffusive and random-sampling Lagrangian-Remap schemes for the multiclass Lighthill-Whitham-Richards traffic model. Zbl 1284.35273Bürger, Raimund; Chalons, Christophe; Villada, Luis M. 5 2013 A diffusively corrected multiclass Lighthill-Whitham-Richards traffic model with anticipation lengths and reaction times. Zbl 1288.90009Bürger, Raimund; Mulet, Pep; Villada, Luis M. 4 2013 Spectral WENO schemes with adaptive mesh refinement for models of polydisperse sedimentation. Zbl 1277.76115Bürger, Raimund; Mulet, Pep; Villada, Luis Miguel 3 2013 A stabilized finite volume element formulation for sedimentation-consolidation processes. Zbl 1246.65177Bürger, Raimund; Ruiz-Baier, Ricardo; Torres, Héctor 22 2012 Difference schemes stabilized by discrete mollification for degenerate parabolic equations in two space dimensions. Zbl 1258.65074Acosta, Carlos D.; Bürger, Raimund 4 2012 On the hyperbolicity of certain models of polydisperse sedimentation. Zbl 1247.76058Bürger, Raimund; Donat, Rosa; Mulet, Pep; Vega, Carlos A. 1 2012 A multiresolution method for the simulation of sedimentation in included channels. Zbl 1276.86004Bürger, Raimund; Ruiz-Baier, Ricardo; Scheider, Kai; Torres, Héctor 1 2012 On nonlocal conservation laws modelling sedimentation. Zbl 1381.76368Betancourt, F.; Bürger, R.; Karlsen, K. H.; Tory, E. M. 49 2011 On the implementation of WENO schemes for a class of polydisperse sedimentation models. Zbl 1391.76465Bürger, Raimund; Donat, Rosa; Mulet, Pep; Vega, Carlos A. 17 2011 A strongly degenerate parabolic aggregation equation. Zbl 1272.35125Betancourt, F.; Bürger, R.; Karlsen, K. H. 6 2011 Uncertainty quantification for a clarifier-thickener model with random feed. Zbl 1246.76069Bürger, Raimund; Kröker, Ilja; Rohde, Christian 1 2011 Hyperbolicity analysis of polydisperse sedimentation models via a secular equation for the flux Jacobian. Zbl 1223.35226Bürger, Raimund; Donat, Rosa; Mulet, Pep; Vega, Carlos A. 12 2010 Adaptive multiresolution methods for the simulation of waves in excitable media. Zbl 1203.65158Bürger, Raimund; Ruiz-Baier, Ricardo; Schneider, Kai 11 2010 Second-order schemes for conservation laws with discontinuous flux modelling clarifier-thickener units. Zbl 1204.65101Bürger, Raimund; Karlsen, Kenneth H.; Torres, Héctor; Towers, John D. 10 2010 A multiresolution space-time adaptive scheme for the bidomain model in electrocardiology. Zbl 1206.92004Bendahmane, Mostafa; Bürger, Raimund; Ruiz-Baier, Ricardo 10 2010 On some difference schemes and entropy conditions for a class of multi-species kinematic flow models with discontinuous flux. Zbl 1263.76048Bürger, Raimund; Karlsen, Kenneth H.; Towers, John D. 6 2010 A finite volume scheme for cardiac propagation in media with isotropic conductivities. Zbl 1192.92002Bendahmane, Mostafa; Bürger, Raimund; Ruiz-Baier, Ricardo 6 2010 Adaptive multiresolution simulation of waves in electrocardiology. Zbl 1311.94016Bürger, Raimund; Ruiz-Baier, Ricardo 2 2010 An Engquist-Osher-type scheme for conservation laws with discontinuous flux adapted to flux connections. Zbl 1201.35022Bürger, Raimund; Karlsen, Kenneth H.; Towers, John D. 49 2009 On a doubly nonlinear diffusion model of chemotaxis with prevention of overcrowding. Zbl 1178.35213Bendahmane, Mostafa; Bürger, Raimund; Ruiz-Baier, Ricardo; Urbano, José Miguel 16 2009 Adaptive multiresolution schemes with local time stepping for two-dimensional degenerate reaction-diffusion systems. Zbl 1400.65042Bendahmane, Mostafa; Bürger, Raimund; Ruiz-Baier, Ricardo; Schneider, Kai 11 2009 On models of polydisperse sedimentation with particle-size-specific hindered-settling factors. Zbl 1205.76265Basson, David K.; Berres, Stefan; Bürger, Raimund 10 2009 A conservation law with discontinuous flux modelling traffic flow with abruptly changing road surface conditions. Zbl 1186.35005Bürger, Raimund; Karlsen, Kenneth H.; Towers, John D. 6 2009 Numerical solution of an inverse problem for a scalar conservation law modelling sedimentation. Zbl 1404.65138Bürger, Raimund; Coronel, Aníbal; Sepúlveda, Mauricio 5 2009 Multiresolution simulation of reaction-diffusion systems with strong degeneracy. Zbl 1242.65176Bürger, Raimund; Ruiz-Baier, Ricardo 3 2009 A family of numerical schemes for kinematic flows with discontinuous flux. Zbl 1200.76126Bürger, R.; García, A.; Karlsen, K. H.; Towers, J. D. 36 2008 Difference schemes, entropy solutions, and speedup impulse for an inhomogeneous kinematic traffic flow model. Zbl 1173.35586Bürger, Raimund; García, Antonio; Karlsen, Kenneth H.; Towers, John D. 14 2008 Conservation laws with discontinuous flux: a short introduction. Zbl 1138.35365Bürger, Raimund; Karlsen, Kenneth H. 10 2008 Fully adaptive multiresolution schemes for strongly degenerate parabolic equations in one space dimension. Zbl 1147.65066Bürger, Raimund; Ruiz, Ricardo; Schneider, Kai; Sepúlveda, Mauricio 9 2008 Fully adaptive multiresolution schemes for strongly degenerate parabolic equations with discontinuous flux. Zbl 1137.65393Bürger, Raimund; Ruiz, Ricardo; Schneider, Kai; Sepúlveda, Mauricio A. 8 2008 A generalized kinetic model of sedimentation of polydisperse suspensions with a continuous particle size distribution. Zbl 1156.82394Bürger, Raimund; Garcia, Antonio; Kunik, Matthias 8 2008 On the settling of a bidisperse suspension with particles having different sizes and densities. Zbl 1155.76411Berres, Stefan; Bürger, Raimund 3 2008 A numerical descent method for an inverse problem of a scalar conservation law modelling sedimentation. Zbl 1161.35512Bürger, R.; Coronel, A.; Sepúlveda, M. 2 2008 Adaptive multiresolution WENO schemes for multi-species kinematic flow models. Zbl 1123.65305Bürger, Raimund; Kozakevicius, Alice 28 2007 On the well-posedness of entropy solutions to conservation laws with a zero-flux boundary condition. Zbl 1160.35048Bürger, Raimund; Frid, Hermano; Karlsen, Kenneth H. 21 2007 Multiresolution schemes for strongly degenerate parabolic equations in one space dimension. Zbl 1114.65120Bürger, Raimund; Kozakevicius, Alice; Sepúlveda, Mauricio 5 2007 On Riemann problems and front tracking for a model of sedimentation of polydisperse suspensions. Zbl 1138.35371Berres, S.; Bürger, R. 4 2007 Neumann problems for quasi-linear parabolic systems modeling polydisperse suspensions. Zbl 1113.35089Berres, Stefan; Bürger, Raimund; Frid, Hermano 4 2007 A semi-implicit monotone difference scheme for an initial-boundary value problem of a strongly degenerate parabolic equation modeling sedimentation-consolidation processes. Zbl 1082.65081Bürger, Raimund; Coronel, Aníbal; Sepúlveda, Mauricio 9 2006 On an extended clarifier-thickener model with singular source and sink terms. Zbl 1201.35130Bürger, R.; Garcia, A.; Karlsen, K. H.; Towers, J. D. 7 2006 On an upwind difference scheme for strongly degenerate parabolic equations modelling the settling of suspensions in centrifuges and non-cylindrical vessels. Zbl 1103.65091Bürger, Raimund; Coronel, Aníbal; Sepúlveda, Mauricio 5 2006 A model of continuous sedimentation of flocculated suspensions in clarifier-thickener units. Zbl 1089.76061Bürger, Raimund; Karlsen, Kenneth H.; Towers, John D. 37 2005 Numerical identification of parameters for a strongly degenerate convection-diffusion problem modelling centrifugation of flocculated suspensions. Zbl 1062.65099Berres, S.; Bürger, R.; Coronel, A.; Sepúlveda, M. 15 2005 A relaxation scheme for continuous sedimentation in ideal clarifier-thickener units. Zbl 1122.76063Bürger, R.; Karlsen, K. H.; Risebro, N. H. 10 2005 On mathematical models and numerical simulation of the fluidization of polydisperse suspensions. Zbl 1147.76613Berres, Stefan; Bürger, Raimund; Tory, Elmer M. 5 2005 On conservation laws with discontinuous flux. Zbl 1076.76069Bürger, Raimund; Karlsen, Kenneth H.; Mishra, Siddharta; Towers, John D. 5 2005 Closed-form and finite difference solutions to a population balance model of grinding mills. Zbl 1097.74045Bürger, Raimund; Karlsen, Kenneth H.; Towers, John D. 3 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. 57 2004 Central schemes and systems of conservation laws with discontinuous coefficients modeling gravity separation of polydisperse suspensions. Zbl 1107.76366Berres, S.; Bürger, R.; Karlsen, K. H. 14 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 Mathematical model and numerical simulation of the liquid fluidization of polydisperse solid particle mixtures. Zbl 1299.76282Berres, S.; Bürger, R.; Tory, E. M. 10 2004 Strongly degenerate parabolic-hyperbolic systems modeling polydisperse sedimentation with compression. Zbl 1047.35071Berres, Stefan; Bürger, Raimund; Karlsen, Kenneth H.; Tory, Elmer M. 70 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. 25 2003 On a diffusively corrected kinematic-wave traffic flow model with changing road surface conditions. Zbl 1055.35071Bürger, R.; Karlsen, K. H. 18 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 On gravity and centrifugal settling of polydisperse suspensions forming compressible sediments. Zbl 1059.76072Berres, Stefan; Bürger, Raimund 6 2003 On a free boundary problem for a strongly degenerate quasi-linear parabolic equation with an application to a model of pressure filtration. Zbl 1038.35174Bürger, Raimund; Frid, Hermano; Karlsen, Kenneth H. 6 2003 Mixed-type systems of convection-diffusion equations modeling polydisperse sedimentation. Zbl 1066.76065Berres, Stefan; Bürger, Raimund; Tory, Elmer M. 1 2003 Model equations and instability regions for the sedimentation of polydisperse suspensions of spheres. Zbl 1011.35017Bürger, R.; Karlsen, K. H.; Tory, E. M.; Wendland, W. L. 16 2002 Central difference solutions of the kinematic model of settling of polydisperse suspensions and three-dimensional particle-scale simulations. Zbl 1014.76060Bürger, R.; Fjelde, K.-K.; Höfler, K.; Karlsen, K. Hvistendahl 14 2001 Existence and stability for mathematical models of sedimentation-consolidation processes in several space dimensions. Zbl 0995.35050Bürger, R.; Liu, C.; Wendland, W. L. 12 2001 On some upwind difference schemes for the phenomenological sedimentation-consolidation model. Zbl 1128.76341Bürger, R.; Karlsen, Hvistendahl K. 11 2001 Sedimentation and suspension flows: Historical perspective and some recent developments. Zbl 1014.76003Bürger, Raimund; Wendland, Wolfgang L. 7 2001 ...and 8 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 722 Authors 69 Bürger, Raimund 32 Ruiz-Baier, Ricardo 24 Karlsen, Kenneth Hvistendahl 23 Mulet, Pep 20 Andreianov, Boris 15 Diehl, Stefan 15 Risebro, Nils Henrik 15 Villada, Luis Miguel 14 Goatin, Paola 11 Berres, Stefan 11 Towers, John D. 10 Coclite, Giuseppe Maria 10 Gatica, Gabriel N. 10 Sepúlveda, Mauricio A. 9 Bendahmane, Mostafa 9 Mishra, Siddhartha 8 Coronel, Aníbal 8 Kumar, Sarvesh 7 Donat, Rosa 7 Gowda, G. D. Veerappa 7 Russo, Giovanni 7 Zhang, Peng 7 Zhu, Jun 6 Adimurthi, A. 6 Boscarino, Sebastiano 6 Ghoshal, Shyam Sundar 6 Keimer, Alexander 6 Kröker, Ilja 6 Li, Yachun 6 Pflug, Lukas 6 Wong, Sze Chun 5 Abreu, Eduardo 5 Balachandran, Krishnan 5 Cancès, Clément 5 Caucao, Sergio 5 Chalons, Christophe 5 Chiarello, Felisia Angela 5 Colombo, Rinaldo M. 5 Kumar Kenettinkara, Sudarshan 5 Lee, Yongki 5 Shu, Chi-Wang 5 Wang, Guodong 5 Zorío, David 4 Alvarez, Mario M. 4 Amorim, Paulo 4 Chen, Gui-Qiang G. 4 Chen, Zhangxin 4 Di Francesco, Marco 4 Di Ruvo, Lorenzo 4 Friedrich, Jan 4 LeFloch, Philippe Gerard 4 Martí, María Carmen 4 Mejía, Carlos E. 4 Quarteroni, Alfio M. 4 Rohde, Christian 4 Rossi, Elena 4 Sandilya, Ruchi 4 Schneider, Kai 4 Shangerganesh, Lingeshwaran 4 Shen, Chun 4 Shen, Wen 4 Song, Yukun 4 Sun, Meina 4 Torres, Héctor 4 Vega, Carlos A. 3 Acosta, Carlos Daniel 3 Anaya, Verónica 3 Baeza, Antonio 3 Bianca, Carlo 3 Careaga, Julio 3 Carrillo de la Plata, José Antonio 3 Chen, Yang 3 Choi, Keechoo 3 Choi, Young-Pil 3 Colmenares, Eligio 3 Colombo, Maria 3 Crippa, Gianluca 3 Ding, Shijin 3 Donadello, Carlotta 3 Dumbser, Michael 3 Fagioli, Simone 3 Farås, Sebastian 3 Fernández-Nieto, Enrique Domingo 3 Frid, Hermano 3 Gao, Yali 3 Göttlich, Simone 3 Goudon, Thierry 3 Guerrero, Francisco 3 Huang, Bingkang 3 Huang, Bingyuan 3 Jackiewicz, Zdzislaw 3 Jerez, Silvia 3 Jiang, Peng 3 Klingenberg, Christian 3 Kolb, Oliver 3 Koley, Ujjwal 3 Labbé, Cyril 3 Mitrovic, Darko 3 Mora, David 3 Ouédraogo, Adama ...and 622 more Authors all top 5 Cited in 135 Serials 29 Journal of Computational Physics 27 Journal of Scientific Computing 25 Journal of Differential Equations 18 Applied Numerical Mathematics 16 Journal of Mathematical Analysis and Applications 14 Computers & Mathematics with Applications 14 Journal of Computational and Applied Mathematics 14 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 13 Networks and Heterogeneous Media 12 Applied Mathematics and Computation 11 Numerische Mathematik 11 Applied Mathematical Modelling 11 SIAM Journal on Mathematical Analysis 10 SIAM Journal on Scientific Computing 9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 9 Nonlinear Analysis. Real World Applications 9 Journal of Hyperbolic Differential Equations 8 Journal of Engineering Mathematics 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Computer Methods in Applied Mechanics and Engineering 7 Mathematics of Computation 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Applied Mathematics Letters 7 Mathematical Biosciences and Engineering 6 Archive for Rational Mechanics and Analysis 6 Journal of Mathematical Physics 6 Mathematical Methods in the Applied Sciences 6 Mathematical and Computer Modelling 6 Discrete and Continuous Dynamical Systems 6 Computational Geosciences 6 Bulletin of the Brazilian Mathematical Society. New Series 6 Advances in Applied Mathematics and Mechanics 5 Calcolo 5 Numerical Methods for Partial Differential Equations 5 International Journal of Computer Mathematics 5 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 4 Acta Mechanica 4 SIAM Journal on Numerical Analysis 4 Acta Applicandae Mathematicae 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 SIAM Journal on Applied Mathematics 4 Computational and Applied Mathematics 3 Journal of Mathematical Biology 3 Mathematics and Computers in Simulation 3 Communications on Pure and Applied Analysis 3 Discrete and Continuous Dynamical Systems. Series S 3 Kinetic and Related Models 2 Computers and Fluids 2 Communications in Mathematical Physics 2 Journal of Fluid Mechanics 2 Nonlinearity 2 Journal of Functional Analysis 2 Quarterly of Applied Mathematics 2 SIAM Journal on Control and Optimization 2 Transactions of the American Mathematical Society 2 Chinese Annals of Mathematics. Series B 2 Computational Mechanics 2 Communications in Partial Differential Equations 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Engineering Analysis with Boundary Elements 2 Computing and Visualization in Science 2 Mathematical Modelling and Analysis 2 International Journal of Computational Methods 2 Communications in Computational Physics 2 Axioms 2 Stochastic and Partial Differential Equations. Analysis and Computations 2 Communications on Applied Mathematics and Computation 2 Results in Applied Mathematics 1 International Journal of Modern Physics B 1 Applicable Analysis 1 Computer Physics Communications 1 Communications on Pure and Applied Mathematics 1 Inverse Problems 1 Physica A 1 Ukrainian Mathematical Journal 1 Chaos, Solitons and Fractals 1 The Annals of Probability 1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 1 Journal of the Korean Mathematical Society 1 Proceedings of the American Mathematical Society 1 Applied Mathematics and Mechanics. (English Edition) 1 Physica D 1 European Journal of Applied Mathematics 1 Applications of Mathematics 1 Calculus of Variations and Partial Differential Equations 1 Communications in Numerical Methods in Engineering 1 Physics of Fluids 1 Journal of Mathematical Sciences (New York) 1 Journal of Inverse and Ill-Posed Problems 1 ETNA. Electronic Transactions on Numerical Analysis 1 NoDEA. Nonlinear Differential Equations and Applications 1 Advances in Computational Mathematics 1 Mathematical Problems in Engineering 1 Journal of Applied Analysis 1 International Journal of Computational Fluid Dynamics 1 Vietnam Journal of Mathematics 1 Discrete Dynamics in Nature and Society 1 Journal of Mathematical Fluid Mechanics 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Communications in Nonlinear Science and Numerical Simulation ...and 35 more Serials all top 5 Cited in 32 Fields 388 Partial differential equations (35-XX) 271 Numerical analysis (65-XX) 236 Fluid mechanics (76-XX) 62 Biology and other natural sciences (92-XX) 50 Operations research, mathematical programming (90-XX) 22 Statistical mechanics, structure of matter (82-XX) 18 Mechanics of deformable solids (74-XX) 13 Probability theory and stochastic processes (60-XX) 11 Geophysics (86-XX) 10 Ordinary differential equations (34-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 8 Dynamical systems and ergodic theory (37-XX) 6 Classical thermodynamics, heat transfer (80-XX) 6 Systems theory; control (93-XX) 5 Functional analysis (46-XX) 5 Mechanics of particles and systems (70-XX) 4 Integral equations (45-XX) 4 Operator theory (47-XX) 3 Real functions (26-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Optics, electromagnetic theory (78-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Approximations and expansions (41-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistics (62-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 General topology (54-XX) 1 Computer science (68-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year