Edit Profile (opens in new tab) Rohde, Christian Co-Author Distance Author ID: rohde.christian Published as: Rohde, Christian; Rohde, C.; Rohde, Ch. more...less Homepage: http://www.ians.uni-stuttgart.de/am/mitarbeiter/rohde/ External Links: MGP · ResearchGate Documents Indexed: 129 Publications since 1996, including 1 Book and 9 Additional arXiv Preprints 9 Contributions as Editor Co-Authors: 101 Co-Authors with 129 Joint Publications 2,526 Co-Co-Authors all top 5 Co-Authors 9 single-authored 11 Dedner, Andreas S. 9 Wesenberg, Matthias 8 Kröner, Dietmar 7 Kröker, Ilja 7 LeFloch, Philippe Gerard 7 Magiera, Jim 7 Meyer, Fabian 6 Giesselmann, Jan 6 Munz, Claus-Dieter 5 Burbulla, Samuel 5 Ohlberger, Mario 5 Tang, Hao 5 Zeiler, Christoph 4 Armiti-Juber, Alaa 4 Chalons, Christophe 4 Engel, Patrick 4 Freistühler, Heinrich 4 Kissling, Frederike 4 Ostrowski, Lukas 3 Beck, Andrea D. 3 Colombo, Rinaldo M. 3 Coquel, Frédéric 3 Diehl, Dennis 3 Gander, Martin Jakob 3 Keim, Jens 3 Köppel, Markus 3 Mel’nyk, Taras A. 3 Merkle, Christian 3 Radu, Florin Adrian 3 Seus, David 3 Xie, Feng 3 Yong, Wen-An 2 Bürger, Raimund 2 Corli, Andrea 2 Dressel, Alexander 2 Dürrwächter, Jakob 2 Fechter, Stefan 2 Fuhrmann, Jürgen 2 Haasdonk, Bernard 2 Haink, Jenny 2 Helmig, Rainer 2 Hörl, Maximilian 2 Jovanović, Vladimir 2 Kabil, Buğra 2 Kutter, Michael 2 Nowak, Wolfgang 2 Pop, Iuliu Sorin 2 Sändig, Anna-Margarete 2 Schleper, Veronika 2 von Wolff, Lars 2 Wiebe, Maria 1 Alkämper, Maria 1 Alonso-Orán, Diego 1 Barth, Andrea 1 Betancourt, Fernando 1 Chiocchetti, Simone 1 Dreyer, Wolfgang 1 Dumbser, Michael 1 Eck, Christof 1 Ehlers, Wolfgang 1 Formaggia, Luca 1 Franzelin, Fabian 1 Fries, Christian P. 1 Gassner, Gregor J. 1 Gutnic, Michaël 1 Helluy, Philippe 1 Hesthaven, Jan S. 1 Hillen, Thomas 1 Hitz, Timon 1 Jaegle, Felix 1 Kraus, Christiane 1 Kremser, Jenny 1 Küther, Marc 1 Lagoutière, Frédéric 1 Lunowa, Stephan Benjamin 1 Lutscher, Frithjof 1 Mai Duc Thanh 1 Mercier, Jean-Marc 1 Miao, Yingting 1 Mitra, Koondanibha 1 Neusser, Jochen 1 Oladyshkin, Sergey 1 Pflüger, Dirk 1 Ray, Deep 1 Redeker, Magnus 1 Roller, Sabine 1 Rybak, Iryna V. 1 Santin, Gabriele 1 Schnitzer, T. 1 Schupp, Bernhard 1 Schwarz, Anna 1 Scotti, Anna 1 Seguin, Nicolas 1 Sekhar, G. P. Raja 1 Sharanya, V. 1 Tiemann, N. 1 Trivisa, Konstantina 1 Viorel, Adrian 1 Wang, Wenjun 1 Wittwar, Dominik ...and 1 more Co-Authors all top 5 Serials 7 Journal of Computational Physics 5 Journal of Mathematical Analysis and Applications 5 SIAM Journal on Scientific Computing 5 Computational Geosciences 4 SIAM Journal on Numerical Analysis 4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 Mathematical Methods in the Applied Sciences 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Applied Mathematics and Computation 3 Journal of Differential Equations 3 Numerische Mathematik 3 Applied Numerical Mathematics 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Oberwolfach Reports 2 Computers and Fluids 2 Computer Methods in Applied Mechanics and Engineering 2 IMA Journal of Numerical Analysis 2 Indiana University Mathematics Journal 2 Numerical Methods for Partial Differential Equations 2 SIAM Journal on Mathematical Analysis 2 NoDEA. Nonlinear Differential Equations and Applications 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 2 Interfaces and Free Boundaries 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Springer Proceedings in Mathematics & Statistics 1 IMA Journal of Applied Mathematics 1 International Journal for Numerical Methods in Fluids 1 Mathematics of Computation 1 BIT 1 Calcolo 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Physica D 1 Applications of Mathematics 1 Journal of Dynamics and Differential Equations 1 Journal of Nonlinear Science 1 Continuum Mechanics and Thermodynamics 1 Computing and Visualization in Science 1 Journal of Mathematical Fluid Mechanics 1 Portugaliae Mathematica. Nova Série 1 Communications on Pure and Applied Analysis 1 Multiscale Modeling & Simulation 1 Journal of Hyperbolic Differential Equations 1 Lecture Notes in Computational Science and Engineering 1 Communications in Computational Physics 1 Networks and Heterogeneous Media 1 PAMM. Proceedings in Applied Mathematics and Mechanics all top 5 Fields 96 Fluid mechanics (76-XX) 87 Partial differential equations (35-XX) 66 Numerical analysis (65-XX) 13 Mechanics of deformable solids (74-XX) 12 Probability theory and stochastic processes (60-XX) 8 General and overarching topics; collections (00-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Optics, electromagnetic theory (78-XX) 4 Astronomy and astrophysics (85-XX) 3 Statistics (62-XX) 3 Geophysics (86-XX) 3 Biology and other natural sciences (92-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Integral equations (45-XX) 2 Computer science (68-XX) 1 Combinatorics (05-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 102 Publications have been cited 837 times in 558 Documents Cited by ▼ Year ▼ Fully discrete, entropy conservative schemes of arbitrary order. Zbl 1033.65073 LeFloch, P. G.; Mercier, J. M.; Rohde, C. 91 2002 High-order schemes, entropy inequalities, and nonclassical shocks. Zbl 0959.35117 LeFloch, Philippe G.; Rohde, Christian 32 2000 On local and nonlocal Navier-Stokes-Korteweg systems for liquid-vapour phase transitions. Zbl 1099.76072 Rohde, Christian 29 2005 Multirate time integration for coupled saturated/unsaturated porous medium and free flow systems. Zbl 1392.76090 Rybak, Iryna; Magiera, Jim; Helmig, Rainer; Rohde, Christian 26 2015 The sharp-interface approach for fluids with phase change: Riemann problems and ghost fluid techniques. Zbl 1134.35074 Merkle, Christian; Rohde, Christian 24 2007 A linear domain decomposition method for partially saturated flow in porous media. Zbl 1440.76149 Seus, David; Mitra, Koondanibha; Pop, Iuliu Sorin; Radu, Florin Adrian; Rohde, Christian 24 2018 Overlapping Schwarz waveform relaxation for convection-dominated nonlinear conservation laws. Zbl 1105.65098 Gander, Martin J.; Rohde, Christian 23 2005 The nonrelativistic limit in radiation hydrodynamics. I: Weak entropy solutions for a model problem. Zbl 1108.76086 Rohde, Christian; Yong, Wenan 22 2007 Constraint-aware neural networks for Riemann problems. Zbl 1435.76046 Magiera, Jim; Ray, Deep; Hesthaven, Jan S.; Rohde, Christian 22 2020 A sharp interface method for compressible liquid-vapor flow with phase transition and surface tension. Zbl 1375.76194 Fechter, Stefan; Munz, Claus-Dieter; Rohde, Christian; Zeiler, Christoph 21 2017 Finite volume schemes for hyperbolic balance laws with multiplicative noise. Zbl 1241.65013 Kröker, Ilja; Rohde, Christian 20 2012 Existence of weak solutions for a hyperbolic model of chemosensitive movement. Zbl 0984.35043 Hillen, Thomas; Rohde, Christian; Lutscher, Frithjof 17 2001 Error estimates for finite volume approximations of classical solutions for nonlinear systems of hyperbolic balance laws. Zbl 1111.65081 Jovanovic, Vladimir; Rohde, Christian 17 2006 Sharp and diffuse interface methods for phase transition problems in liquid-vapour flows. Zbl 1210.80016 Coquel, F.; Rohde, C.; Merkle, C.; Diehl, D. 16 2005 A relaxation Riemann solver for compressible two-phase flow with phase transition and surface tension. Zbl 1320.76095 Rohde, Christian; Zeiler, Christoph 15 2015 Comparison of data-driven uncertainty quantification methods for a carbon dioxide storage benchmark scenario. Zbl 1414.76058 Köppel, Markus; Franzelin, Fabian; Kröker, Ilja; Oladyshkin, Sergey; Santin, Gabriele; Wittwar, Dominik; Barth, Andrea; Haasdonk, Bernard; Nowak, Wolfgang; Pflüger, Dirk; Rohde, Christian 15 2019 Hyperbolic-hyperbolic relaxation limit for a 1D compressible radiation hydrodynamics model: superposition of rarefaction and contact waves. Zbl 1282.35314 Rohde, Christian; Wang, Wenjun; Xie, Feng 15 2013 Upscaling of a tri-phase phase-field model for precipitation in porous media. Zbl 1406.35297 Redeker, Magnus; Rohde, Christian; Sorin Pop, Iuliu 15 2016 A hybrid stochastic Galerkin method for uncertainty quantification applied to a conservation law modelling a clarifier-thickener unit. Zbl 1301.65126 Bürger, Raimund; Kröker, Ilja; Rohde, Christian 14 2014 Approximate Riemann solver for compressible liquid vapor flow with phase transition and surface tension. Zbl 1410.76171 Fechter, Stefan; Munz, Claus-Dieter; Rohde, Christian; Zeiler, Christoph 14 2018 The computation of nonclassical shock waves with a heterogeneous multiscale method. Zbl 1270.35312 Kissling, Frederike; Rohde, Christian 13 2010 Fast relaxation solvers for hyperbolic-elliptic phase transition problems. Zbl 1387.80009 Chalons, Ch.; Coquel, F.; Engel, P.; Rohde, Ch. 12 2012 A local and low-order Navier-Stokes-Korteweg system. Zbl 1453.35139 Rohde, Christian 12 2010 Asymptotic analysis for Korteweg models. Zbl 1241.76375 Dreyer, Wolfgang; Giesselmann, Jan; Kraus, Christiane; Rohde, Christian 12 2012 Numerical solution of Navier-Stokes-Korteweg systems by local discontinuous Galerkin methods in multiple space dimensions. Zbl 1410.76166 Diehl, Dennis; Kremser, Jenny; Kröner, Dietmar; Rohde, Christian 12 2016 Finite-volume schemes for Friedrichs systems in multiple space dimensions: a priori and a posteriori error estimates. Zbl 1068.65113 Jovanović, Vladimir; Rohde, Christian 11 2005 A finite volume method for undercompressive shock waves in two space dimensions. Zbl 1397.76086 Chalons, Christophe; Rohde, Christian; Wiebe, Maria 11 2017 Adaptive finite volume approximations for weakly coupled convection dominated parabolic systems. Zbl 1007.65059 Ohlberger, Mario; Rohde, Christian 11 2002 Decay rates to viscous contact waves for a 1D compressible radiation hydrodynamics model. Zbl 1270.35112 Rohde, Christian; Xie, Feng 11 2013 Relaxation of the Navier-Stokes-Korteweg equations for compressible two-phase flow with phase transition. Zbl 1455.65176 Neusser, J.; Rohde, C.; Schleper, V. 11 2015 On the stochastic Dullin-Gottwald-Holm equation: global existence and wave-breaking phenomena. Zbl 1456.60161 Rohde, Christian; Tang, Hao 10 2021 Local discontinuous-Galerkin schemes for model problems in phase transition theory. Zbl 1364.76087 Haink, Jenny; Rohde, Christian 9 2008 On a stochastic Camassa-Holm type equation with higher order nonlinearities. Zbl 1477.60101 Rohde, Christian; Tang, Hao 9 2021 Scalar conservation laws with mixed local and nonlocal diffusion-dispersion terms. Zbl 1098.35103 Rohde, Christian 8 2005 Numerical approximation of entropy solutions for hyperbolic integro-differential equations. Zbl 1060.65135 Dedner, Andreas; Rohde, Christian 8 2004 Parabolic approximations of diffusive-dispersive equations. Zbl 1311.35153 Corli, Andrea; Rohde, Christian; Schleper, Veronika 8 2014 A local-in-time theory for singular SDEs with applications to fluid models with transport noise. Zbl 1477.60105 Alonso-Orán, Diego; Rohde, Christian; Tang, Hao 8 2021 FV-schemes for a scalar model problem of radiation magnetohydrodynamics. Zbl 1177.76221 Dedner, Andreas; Rohde, Christian 7 2002 A stochastically and spatially adaptive parallel scheme for uncertain and nonlinear two-phase flow problems. Zbl 1396.65126 Kröker, Ilja; Nowak, Wolfgang; Rohde, Christian 7 2015 A parallel, load-balanced MHD code on locally-adapted, unstructured grids in 3d. Zbl 1120.76338 Dedner, Andreas; Rohde, Christian; Schupp, Bernhard; Wesenberg, Matthias 6 2004 A posteriori error analysis for random scalar conservation laws using the stochastic Galerkin method. Zbl 1464.65124 Meyer, Fabian; Rohde, Christian; Giesselmann, Jan 6 2020 A conservative and convergent scheme for undercompressive shock waves. Zbl 1378.76057 Chalons, Ch.; Engel, P.; Rohde, Ch. 6 2014 Fully resolved compressible two-phase flow: modelling, analytical and numerical issues. Zbl 1418.35313 Rohde, Christian 6 2018 Entropy solutions for weakly coupled hyperbolic systems in several space dimensions. Zbl 0906.35058 Rohde, Christian 5 1998 Singular limits for a parabolic-elliptic regularization of scalar conservation laws. Zbl 1259.35138 Corli, Andrea; Rohde, Christian 5 2012 Stochastic modeling for heterogeneous two-phase flow. Zbl 1304.76039 Köppel, Markus; Kröker, Ilja; Rohde, Christian 5 2014 A multiscale method for compressible liquid-vapor flow with surface tension. Zbl 1329.76175 Jaegle, Felix; Rohde, Christian; Zeiler, Christoph 5 2012 Zero diffusion-dispersion limits for self-similar Riemann solutions to hyperbolic systems of conservation laws. Zbl 1082.35106 LeFloch, Philippe G.; Rohde, Christian 5 2001 A linear domain decomposition method for two-phase flow in porous media. Zbl 1425.76192 Seus, David; Radu, Florin A.; Rohde, Christian 5 2018 A parabolic relaxation model for the Navier-Stokes-Korteweg equations. Zbl 07508350 Hitz, Timon; Keim, Jens; Munz, Claus-Dieter; Rohde, Christian 5 2020 Convergence of a staggered Lax-Friedrichs scheme for nonlinear conservation laws on unstructured two-dimensional grids. Zbl 1001.65102 Haasdonk, Bernard; Kröner, Dietmar; Rohde, Christian 4 2001 On the Cauchy problem for the equations of ideal compressible MHD fluids with radiation. Zbl 1099.35060 Rohde, C.; Zajączkowski, W. M. 4 2003 Dissipative entropy and global smooth solutions in radiation hydrodynamics and magnetohydrodynamics. Zbl 1157.76057 Rohde, Christian; Yong, Wenan 4 2008 A finite-volume approach to liquid-vapour fluids with phase transition. Zbl 1374.76133 Dressel, Alexander; Rohde, Christian 4 2008 Intrusive uncertainty quantification for hyperbolic-elliptic systems governing two-phase flow in heterogeneous porous media. Zbl 1396.76058 Köppel, Markus; Kröker, Ilja; Rohde, Christian 4 2017 Existence, bifurcation, and stability of profiles for classical and non-classical shock waves. Zbl 1002.35087 Freistühler, Heinrich; Fries, Christian; Rohde, Christian 4 2001 A finite-volume moving-mesh method for two-phase flow in dynamically fracturing porous media. Zbl 07527707 Burbulla, Samuel; Rohde, Christian 4 2022 Compressible multicomponent flow in porous media with Maxwell-Stefan diffusion. Zbl 1454.35296 Ostrowski, Lukas; Rohde, Christian 4 2020 A low-order approximation for viscous-capillary phase transition dynamics. Zbl 1302.35249 Engel, Patrick; Viorel, Adrian; Rohde, Christian 4 2013 On Riemann solvers and kinetic relations for isothermal two-phase flows with surface tension. Zbl 1410.35105 Rohde, Christian; Zeiler, Christoph 4 2018 Global existence and blowup phenomenon for a 1D radiation hydrodynamics model problem. Zbl 1237.35112 Rohde, Christian; Xie, Feng 3 2012 Weakly coupled systems of hyperbolic conservation laws. Zbl 0883.35075 Rohde, Christian 3 1996 Upwind finite volume schemes for weakly coupled hyperbolic systems of conservation laws in 2D. Zbl 0918.35086 Rohde, Christian 3 1998 A kinetic decomposition for singular limits of non-local conservation laws. Zbl 1180.35349 Kissling, Frederike; LeFloch, Philippe G.; Rohde, Christian 3 2009 Computation of dynamical phase transitions in solids. Zbl 1116.74049 Merkle, C.; Rohde, C. 3 2006 A new approach to divergence cleaning in magnetohydrodynamic simulations. Zbl 1061.76036 Dedner, Andreas; Rohde, Christian; Wesenberg, Matthias 3 2003 Phase transitions and sharp-interface limits for the 1d-elasticity system with non-local energy. Zbl 1067.35131 Rohde, Christian 3 2005 A MHD-simulation in solar physics. Zbl 1052.65542 Dedner, A.; Rohde, C.; Wesenberg, M. 3 1999 The computation of nonclassical shock waves in porous media with a heterogeneous multiscale method: the multidimensional case. Zbl 1331.35232 Kissling, Frederike; Rohde, Christian 3 2015 A ternary Cahn-Hilliard-Navier-Stokes model for two-phase flow with precipitation and dissolution. Zbl 1491.35346 Rohde, Christian; von Wolff, Lars 3 2021 A high-order stochastic Galerkin code for the compressible Euler and Navier-Stokes equations. Zbl 1521.76329 Dürrwächter, Jakob; Meyer, Fabian; Kuhn, Thomas; Beck, Andrea; Munz, Claus-Dieter; Rohde, Christian 3 2021 \(hp\)-multilevel Monte Carlo methods for uncertainty quantification of compressible Navier-Stokes equations. Zbl 1486.65002 Beck, Andrea; Dürrwächter, Jakob; Kuhn, Thomas; Meyer, Fabian; Munz, Claus-Dieter; Rohde, Christian 3 2020 Homogenization of nonlocal Navier-Stokes-Korteweg equations for compressible liquid-vapor flow in porous media. Zbl 1454.76098 Rohde, Christian; von Wolff, Lars 3 2020 A posteriori error analysis and adaptive non-intrusive numerical schemes for systems of random conservation laws. Zbl 1446.65111 Giesselmann, Jan; Meyer, Fabian; Rohde, Christian 3 2020 Almost parallel flows in porous media. Zbl 1426.76330 Armiti-Juber, Alaa; Rohde, Christian 2 2014 The bifurcation analysis of the MHD Rankine-Hugoniot equations for a perfect gas. Zbl 1051.76025 Freistühler, Heinrich; Rohde, Christian 2 2003 A particle-based multiscale solver for compressible liquid-vapor flow. Zbl 1407.76123 Magiera, Jim; Rohde, Christian 2 2018 Finite-volume schemes for Friedrichs systems with involutions. Zbl 1410.78029 Betancourt, Fernando; Rohde, Christian 2 2016 On Darcy- and Brinkman-type models for two-phase flow in asymptotically flat domains. Zbl 1414.76051 Armiti-Juber, Alaa; Rohde, Christian 2 2019 Existence of weak solutions for a nonlocal pseudo-parabolic model for Brinkman two-phase flow in asymptotically flat porous media. Zbl 1428.35343 Armiti-Juber, Alaa; Rohde, Christian 2 2019 Global existence and uniqueness of solutions for a viscoelastic two-phase model. Zbl 1157.35016 Dressel, Alexander; Rohde, Christian 1 2008 An introduction to recent developments in theory and numerics for conservation laws. Proceedings of the international school, Freiburg/ Littenweiler, Germany, October 20–24, 1997. Zbl 0904.00045 1 1999 Numerical methods for viscous profiles of non-classical shock waves. Zbl 0936.76063 Freistühler, Heinrich; Rohde, Christian 1 1999 Godunov-type schemes for the MHD equations. Zbl 1064.76560 Dedner, A.; Kröner, D.; Rohde, C.; Wesenberg, M. 1 2001 Numerical computation of viscous profiles for hyperbolic conservation laws. Zbl 1008.65094 Freistühler, Heinrich; Rohde, Christian 1 2002 Radiation magnetohydrodynamics: analysis for model problems and efficient 3D simulations for the full system. Zbl 1088.76075 Dedner, A.; Kröner, D.; Rohde, C.; Wesenberg, M. 1 2005 Efficient higher-order finite volume schemes for (real gas) magnetohydrodynamics. Zbl 1059.76518 Dedner, Andreas; Rohde, Christian; Wesenberg, Matthias 1 2003 Uncertainty quantification for a clarifier-thickener model with random feed. Zbl 1246.76069 Bürger, Raimund; Kröker, Ilja; Rohde, Christian 1 2011 Persistence of undercompressive phase boundaries for isothermal Euler equations including configurational forces and surface tension. Zbl 1352.35102 Kabil, Bugra; Rohde, Christian 1 2016 Efficient divergence cleaning in three-dimensional MHD simulations. Zbl 1143.76498 Dedner, A.; Kröner, D.; Rohde, C.; Wesenberg, M. 1 2003 An artificial equation of state based Riemann solver for a discontinuous Galerkin discretization of the incompressible Navier-Stokes equations. Zbl 07516795 Massa, F.; Ostrowski, L.; Bassi, F.; Rohde, C. 1 2022 Flow in porous media with fractures of varying aperture. Zbl 1518.76051 Burbulla, Samuel; Hörl, Maximilian; Rohde, Christian 1 2023 A fully conforming finite volume approach to two-phase flow in fractured porous media. Zbl 1454.65137 Burbulla, Samuel; Rohde, Christian 1 2020 The influence of surface tension and configurational forces on the stability of liquid-vapor interfaces. Zbl 1453.76213 Kabil, B.; Rohde, C. 1 2014 Publisher correction to: “On the stochastic Dullin-Gottwald-Holm equation: global existence and wave-breaking phenomena”. Zbl 1462.60090 Rohde, Christian; Tang, Hao 1 2021 Modeling fracture propagation in poro-elastic media combining phase-field and discrete fracture models. Zbl 07644166 Burbulla, Samuel; Formaggia, Luca; Rohde, Christian; Scotti, Anna 1 2023 A molecular-continuum multiscale model for inviscid liquid-vapor flow with sharp interfaces. Zbl 07592148 Magiera, Jim; Rohde, Christian 1 2022 On the well-posedness of a nonlinear fourth-order extension of Richards’ equation. Zbl 1439.35390 Armiti-Juber, Alaa; Rohde, Christian 1 2020 Non-overlapping Schwarz waveform-relaxation for nonlinear advection-diffusion equations. Zbl 1516.65081 Gander, Martin J.; Lunowa, Stephan B.; Rohde, Christian 1 2023 A two scale model for liquid phase epitaxy with elasticity: an iterative procedure. Zbl 1432.76046 Eck, Christof; Kutter, Michael; Sändig, Anna-Margarete; Rohde, Christian 1 2013 Flow in porous media with fractures of varying aperture. Zbl 1518.76051 Burbulla, Samuel; Hörl, Maximilian; Rohde, Christian 1 2023 Modeling fracture propagation in poro-elastic media combining phase-field and discrete fracture models. Zbl 07644166 Burbulla, Samuel; Formaggia, Luca; Rohde, Christian; Scotti, Anna 1 2023 Non-overlapping Schwarz waveform-relaxation for nonlinear advection-diffusion equations. Zbl 1516.65081 Gander, Martin J.; Lunowa, Stephan B.; Rohde, Christian 1 2023 A finite-volume moving-mesh method for two-phase flow in dynamically fracturing porous media. Zbl 07527707 Burbulla, Samuel; Rohde, Christian 4 2022 An artificial equation of state based Riemann solver for a discontinuous Galerkin discretization of the incompressible Navier-Stokes equations. Zbl 07516795 Massa, F.; Ostrowski, L.; Bassi, F.; Rohde, C. 1 2022 A molecular-continuum multiscale model for inviscid liquid-vapor flow with sharp interfaces. Zbl 07592148 Magiera, Jim; Rohde, Christian 1 2022 On the stochastic Dullin-Gottwald-Holm equation: global existence and wave-breaking phenomena. Zbl 1456.60161 Rohde, Christian; Tang, Hao 10 2021 On a stochastic Camassa-Holm type equation with higher order nonlinearities. Zbl 1477.60101 Rohde, Christian; Tang, Hao 9 2021 A local-in-time theory for singular SDEs with applications to fluid models with transport noise. Zbl 1477.60105 Alonso-Orán, Diego; Rohde, Christian; Tang, Hao 8 2021 A ternary Cahn-Hilliard-Navier-Stokes model for two-phase flow with precipitation and dissolution. Zbl 1491.35346 Rohde, Christian; von Wolff, Lars 3 2021 A high-order stochastic Galerkin code for the compressible Euler and Navier-Stokes equations. Zbl 1521.76329 Dürrwächter, Jakob; Meyer, Fabian; Kuhn, Thomas; Beck, Andrea; Munz, Claus-Dieter; Rohde, Christian 3 2021 Publisher correction to: “On the stochastic Dullin-Gottwald-Holm equation: global existence and wave-breaking phenomena”. Zbl 1462.60090 Rohde, Christian; Tang, Hao 1 2021 Constraint-aware neural networks for Riemann problems. Zbl 1435.76046 Magiera, Jim; Ray, Deep; Hesthaven, Jan S.; Rohde, Christian 22 2020 A posteriori error analysis for random scalar conservation laws using the stochastic Galerkin method. Zbl 1464.65124 Meyer, Fabian; Rohde, Christian; Giesselmann, Jan 6 2020 A parabolic relaxation model for the Navier-Stokes-Korteweg equations. Zbl 07508350 Hitz, Timon; Keim, Jens; Munz, Claus-Dieter; Rohde, Christian 5 2020 Compressible multicomponent flow in porous media with Maxwell-Stefan diffusion. Zbl 1454.35296 Ostrowski, Lukas; Rohde, Christian 4 2020 \(hp\)-multilevel Monte Carlo methods for uncertainty quantification of compressible Navier-Stokes equations. Zbl 1486.65002 Beck, Andrea; Dürrwächter, Jakob; Kuhn, Thomas; Meyer, Fabian; Munz, Claus-Dieter; Rohde, Christian 3 2020 Homogenization of nonlocal Navier-Stokes-Korteweg equations for compressible liquid-vapor flow in porous media. Zbl 1454.76098 Rohde, Christian; von Wolff, Lars 3 2020 A posteriori error analysis and adaptive non-intrusive numerical schemes for systems of random conservation laws. Zbl 1446.65111 Giesselmann, Jan; Meyer, Fabian; Rohde, Christian 3 2020 A fully conforming finite volume approach to two-phase flow in fractured porous media. Zbl 1454.65137 Burbulla, Samuel; Rohde, Christian 1 2020 On the well-posedness of a nonlinear fourth-order extension of Richards’ equation. Zbl 1439.35390 Armiti-Juber, Alaa; Rohde, Christian 1 2020 Comparison of data-driven uncertainty quantification methods for a carbon dioxide storage benchmark scenario. Zbl 1414.76058 Köppel, Markus; Franzelin, Fabian; Kröker, Ilja; Oladyshkin, Sergey; Santin, Gabriele; Wittwar, Dominik; Barth, Andrea; Haasdonk, Bernard; Nowak, Wolfgang; Pflüger, Dirk; Rohde, Christian 15 2019 On Darcy- and Brinkman-type models for two-phase flow in asymptotically flat domains. Zbl 1414.76051 Armiti-Juber, Alaa; Rohde, Christian 2 2019 Existence of weak solutions for a nonlocal pseudo-parabolic model for Brinkman two-phase flow in asymptotically flat porous media. Zbl 1428.35343 Armiti-Juber, Alaa; Rohde, Christian 2 2019 A linear domain decomposition method for partially saturated flow in porous media. Zbl 1440.76149 Seus, David; Mitra, Koondanibha; Pop, Iuliu Sorin; Radu, Florin Adrian; Rohde, Christian 24 2018 Approximate Riemann solver for compressible liquid vapor flow with phase transition and surface tension. Zbl 1410.76171 Fechter, Stefan; Munz, Claus-Dieter; Rohde, Christian; Zeiler, Christoph 14 2018 Fully resolved compressible two-phase flow: modelling, analytical and numerical issues. Zbl 1418.35313 Rohde, Christian 6 2018 A linear domain decomposition method for two-phase flow in porous media. Zbl 1425.76192 Seus, David; Radu, Florin A.; Rohde, Christian 5 2018 On Riemann solvers and kinetic relations for isothermal two-phase flows with surface tension. Zbl 1410.35105 Rohde, Christian; Zeiler, Christoph 4 2018 A particle-based multiscale solver for compressible liquid-vapor flow. Zbl 1407.76123 Magiera, Jim; Rohde, Christian 2 2018 A finite-volume tracking scheme for two-phase compressible flow. Zbl 1405.76029 Chalons, Christophe; Magiera, Jim; Rohde, Christian; Wiebe, Maria 1 2018 A sharp interface method for compressible liquid-vapor flow with phase transition and surface tension. Zbl 1375.76194 Fechter, Stefan; Munz, Claus-Dieter; Rohde, Christian; Zeiler, Christoph 21 2017 A finite volume method for undercompressive shock waves in two space dimensions. Zbl 1397.76086 Chalons, Christophe; Rohde, Christian; Wiebe, Maria 11 2017 Intrusive uncertainty quantification for hyperbolic-elliptic systems governing two-phase flow in heterogeneous porous media. Zbl 1396.76058 Köppel, Markus; Kröker, Ilja; Rohde, Christian 4 2017 Upscaling of a tri-phase phase-field model for precipitation in porous media. Zbl 1406.35297 Redeker, Magnus; Rohde, Christian; Sorin Pop, Iuliu 15 2016 Numerical solution of Navier-Stokes-Korteweg systems by local discontinuous Galerkin methods in multiple space dimensions. Zbl 1410.76166 Diehl, Dennis; Kremser, Jenny; Kröner, Dietmar; Rohde, Christian 12 2016 Finite-volume schemes for Friedrichs systems with involutions. Zbl 1410.78029 Betancourt, Fernando; Rohde, Christian 2 2016 Persistence of undercompressive phase boundaries for isothermal Euler equations including configurational forces and surface tension. Zbl 1352.35102 Kabil, Bugra; Rohde, Christian 1 2016 Multirate time integration for coupled saturated/unsaturated porous medium and free flow systems. Zbl 1392.76090 Rybak, Iryna; Magiera, Jim; Helmig, Rainer; Rohde, Christian 26 2015 A relaxation Riemann solver for compressible two-phase flow with phase transition and surface tension. Zbl 1320.76095 Rohde, Christian; Zeiler, Christoph 15 2015 Relaxation of the Navier-Stokes-Korteweg equations for compressible two-phase flow with phase transition. Zbl 1455.65176 Neusser, J.; Rohde, C.; Schleper, V. 11 2015 A stochastically and spatially adaptive parallel scheme for uncertain and nonlinear two-phase flow problems. Zbl 1396.65126 Kröker, Ilja; Nowak, Wolfgang; Rohde, Christian 7 2015 The computation of nonclassical shock waves in porous media with a heterogeneous multiscale method: the multidimensional case. Zbl 1331.35232 Kissling, Frederike; Rohde, Christian 3 2015 A hybrid stochastic Galerkin method for uncertainty quantification applied to a conservation law modelling a clarifier-thickener unit. Zbl 1301.65126 Bürger, Raimund; Kröker, Ilja; Rohde, Christian 14 2014 Parabolic approximations of diffusive-dispersive equations. Zbl 1311.35153 Corli, Andrea; Rohde, Christian; Schleper, Veronika 8 2014 A conservative and convergent scheme for undercompressive shock waves. Zbl 1378.76057 Chalons, Ch.; Engel, P.; Rohde, Ch. 6 2014 Stochastic modeling for heterogeneous two-phase flow. Zbl 1304.76039 Köppel, Markus; Kröker, Ilja; Rohde, Christian 5 2014 Almost parallel flows in porous media. Zbl 1426.76330 Armiti-Juber, Alaa; Rohde, Christian 2 2014 The influence of surface tension and configurational forces on the stability of liquid-vapor interfaces. Zbl 1453.76213 Kabil, B.; Rohde, C. 1 2014 Finite volumes for complex applications VII – elliptic, parabolic and hyperbolic problems. Proceedings of the FVCA 7, Berlin, Germany, June 15–20, 2014. Vol. II. Zbl 1291.65005 1 2014 Hyperbolic-hyperbolic relaxation limit for a 1D compressible radiation hydrodynamics model: superposition of rarefaction and contact waves. Zbl 1282.35314 Rohde, Christian; Wang, Wenjun; Xie, Feng 15 2013 Decay rates to viscous contact waves for a 1D compressible radiation hydrodynamics model. Zbl 1270.35112 Rohde, Christian; Xie, Feng 11 2013 A low-order approximation for viscous-capillary phase transition dynamics. Zbl 1302.35249 Engel, Patrick; Viorel, Adrian; Rohde, Christian 4 2013 A two scale model for liquid phase epitaxy with elasticity: an iterative procedure. Zbl 1432.76046 Eck, Christof; Kutter, Michael; Sändig, Anna-Margarete; Rohde, Christian 1 2013 Finite volume schemes for hyperbolic balance laws with multiplicative noise. Zbl 1241.65013 Kröker, Ilja; Rohde, Christian 20 2012 Fast relaxation solvers for hyperbolic-elliptic phase transition problems. Zbl 1387.80009 Chalons, Ch.; Coquel, F.; Engel, P.; Rohde, Ch. 12 2012 Asymptotic analysis for Korteweg models. Zbl 1241.76375 Dreyer, Wolfgang; Giesselmann, Jan; Kraus, Christiane; Rohde, Christian 12 2012 Singular limits for a parabolic-elliptic regularization of scalar conservation laws. Zbl 1259.35138 Corli, Andrea; Rohde, Christian 5 2012 A multiscale method for compressible liquid-vapor flow with surface tension. Zbl 1329.76175 Jaegle, Felix; Rohde, Christian; Zeiler, Christoph 5 2012 Global existence and blowup phenomenon for a 1D radiation hydrodynamics model problem. Zbl 1237.35112 Rohde, Christian; Xie, Feng 3 2012 Uncertainty quantification for a clarifier-thickener model with random feed. Zbl 1246.76069 Bürger, Raimund; Kröker, Ilja; Rohde, Christian 1 2011 The computation of nonclassical shock waves with a heterogeneous multiscale method. Zbl 1270.35312 Kissling, Frederike; Rohde, Christian 13 2010 A local and low-order Navier-Stokes-Korteweg system. Zbl 1453.35139 Rohde, Christian 12 2010 A kinetic decomposition for singular limits of non-local conservation laws. Zbl 1180.35349 Kissling, Frederike; LeFloch, Philippe G.; Rohde, Christian 3 2009 Local discontinuous-Galerkin schemes for model problems in phase transition theory. Zbl 1364.76087 Haink, Jenny; Rohde, Christian 9 2008 Dissipative entropy and global smooth solutions in radiation hydrodynamics and magnetohydrodynamics. Zbl 1157.76057 Rohde, Christian; Yong, Wenan 4 2008 A finite-volume approach to liquid-vapour fluids with phase transition. Zbl 1374.76133 Dressel, Alexander; Rohde, Christian 4 2008 Global existence and uniqueness of solutions for a viscoelastic two-phase model. Zbl 1157.35016 Dressel, Alexander; Rohde, Christian 1 2008 The sharp-interface approach for fluids with phase change: Riemann problems and ghost fluid techniques. Zbl 1134.35074 Merkle, Christian; Rohde, Christian 24 2007 The nonrelativistic limit in radiation hydrodynamics. I: Weak entropy solutions for a model problem. Zbl 1108.76086 Rohde, Christian; Yong, Wenan 22 2007 Error estimates for finite volume approximations of classical solutions for nonlinear systems of hyperbolic balance laws. Zbl 1111.65081 Jovanovic, Vladimir; Rohde, Christian 17 2006 Computation of dynamical phase transitions in solids. Zbl 1116.74049 Merkle, C.; Rohde, C. 3 2006 On local and nonlocal Navier-Stokes-Korteweg systems for liquid-vapour phase transitions. Zbl 1099.76072 Rohde, Christian 29 2005 Overlapping Schwarz waveform relaxation for convection-dominated nonlinear conservation laws. Zbl 1105.65098 Gander, Martin J.; Rohde, Christian 23 2005 Sharp and diffuse interface methods for phase transition problems in liquid-vapour flows. Zbl 1210.80016 Coquel, F.; Rohde, C.; Merkle, C.; Diehl, D. 16 2005 Finite-volume schemes for Friedrichs systems in multiple space dimensions: a priori and a posteriori error estimates. Zbl 1068.65113 Jovanović, Vladimir; Rohde, Christian 11 2005 Scalar conservation laws with mixed local and nonlocal diffusion-dispersion terms. Zbl 1098.35103 Rohde, Christian 8 2005 Phase transitions and sharp-interface limits for the 1d-elasticity system with non-local energy. Zbl 1067.35131 Rohde, Christian 3 2005 Radiation magnetohydrodynamics: analysis for model problems and efficient 3D simulations for the full system. Zbl 1088.76075 Dedner, A.; Kröner, D.; Rohde, C.; Wesenberg, M. 1 2005 Numerical approximation of entropy solutions for hyperbolic integro-differential equations. Zbl 1060.65135 Dedner, Andreas; Rohde, Christian 8 2004 A parallel, load-balanced MHD code on locally-adapted, unstructured grids in 3d. Zbl 1120.76338 Dedner, Andreas; Rohde, Christian; Schupp, Bernhard; Wesenberg, Matthias 6 2004 On the Cauchy problem for the equations of ideal compressible MHD fluids with radiation. Zbl 1099.35060 Rohde, C.; Zajączkowski, W. M. 4 2003 A new approach to divergence cleaning in magnetohydrodynamic simulations. Zbl 1061.76036 Dedner, Andreas; Rohde, Christian; Wesenberg, Matthias 3 2003 The bifurcation analysis of the MHD Rankine-Hugoniot equations for a perfect gas. Zbl 1051.76025 Freistühler, Heinrich; Rohde, Christian 2 2003 Efficient higher-order finite volume schemes for (real gas) magnetohydrodynamics. Zbl 1059.76518 Dedner, Andreas; Rohde, Christian; Wesenberg, Matthias 1 2003 Efficient divergence cleaning in three-dimensional MHD simulations. Zbl 1143.76498 Dedner, A.; Kröner, D.; Rohde, C.; Wesenberg, M. 1 2003 Fully discrete, entropy conservative schemes of arbitrary order. Zbl 1033.65073 LeFloch, P. G.; Mercier, J. M.; Rohde, C. 91 2002 Adaptive finite volume approximations for weakly coupled convection dominated parabolic systems. Zbl 1007.65059 Ohlberger, Mario; Rohde, Christian 11 2002 FV-schemes for a scalar model problem of radiation magnetohydrodynamics. Zbl 1177.76221 Dedner, Andreas; Rohde, Christian 7 2002 Numerical computation of viscous profiles for hyperbolic conservation laws. Zbl 1008.65094 Freistühler, Heinrich; Rohde, Christian 1 2002 Existence of weak solutions for a hyperbolic model of chemosensitive movement. Zbl 0984.35043 Hillen, Thomas; Rohde, Christian; Lutscher, Frithjof 17 2001 Zero diffusion-dispersion limits for self-similar Riemann solutions to hyperbolic systems of conservation laws. Zbl 1082.35106 LeFloch, Philippe G.; Rohde, Christian 5 2001 Convergence of a staggered Lax-Friedrichs scheme for nonlinear conservation laws on unstructured two-dimensional grids. Zbl 1001.65102 Haasdonk, Bernard; Kröner, Dietmar; Rohde, Christian 4 2001 Existence, bifurcation, and stability of profiles for classical and non-classical shock waves. Zbl 1002.35087 Freistühler, Heinrich; Fries, Christian; Rohde, Christian 4 2001 Godunov-type schemes for the MHD equations. Zbl 1064.76560 Dedner, A.; Kröner, D.; Rohde, C.; Wesenberg, M. 1 2001 High-order schemes, entropy inequalities, and nonclassical shocks. Zbl 0959.35117 LeFloch, Philippe G.; Rohde, Christian 32 2000 A MHD-simulation in solar physics. Zbl 1052.65542 Dedner, A.; Rohde, C.; Wesenberg, M. 3 1999 An introduction to recent developments in theory and numerics for conservation laws. Proceedings of the international school, Freiburg/ Littenweiler, Germany, October 20–24, 1997. Zbl 0904.00045 1 1999 Numerical methods for viscous profiles of non-classical shock waves. Zbl 0936.76063 Freistühler, Heinrich; Rohde, Christian 1 1999 Entropy solutions for weakly coupled hyperbolic systems in several space dimensions. Zbl 0906.35058 Rohde, Christian 5 1998 ...and 2 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 875 Authors 54 Rohde, Christian 15 Pop, Iuliu Sorin 13 Munz, Claus-Dieter 12 Gassner, Gregor J. 11 Giesselmann, Jan 11 Ranocha, Hendrik 9 Kröker, Ilja 8 Dedner, Andreas S. 8 Kröner, Dietmar 8 LeFloch, Philippe Gerard 8 Lukáčová-Medviďová, Mária 8 Ruan, Lizhi 8 Tang, Huazhong 8 Winters, Andrew R. 7 Duan, Junming 7 Fan, Lili 7 Jiang, Peng 7 Karlsen, Kenneth Hvistendahl 7 Mishra, Siddhartha 7 Radu, Florin Adrian 7 Tang, Hao 6 Bringedal, Carina 6 Dumbser, Michael 6 Gander, Martin Jakob 6 Knabner, Peter 6 Nowak, Wolfgang 6 Ohlberger, Mario 6 Oladyshkin, Sergey 6 Parsani, Matteo 6 Ray, Deep 6 Rybak, Iryna V. 6 Shu, Chi-Wang 6 Tadmor, Eitan 6 Xiang, Wei 5 Charve, Frédéric 5 Cifani, Simone 5 Dalcín, Lisandro D. 5 Dubey, Ritesh Kumar 5 Fjordholm, Ulrik Skre 5 Freistühler, Heinrich 5 Haasdonk, Bernard 5 Jakobsen, Espen Robstad 5 Kumar, Kundan 5 Santin, Gabriele 5 Xie, Feng 5 Yang, Jianwei 5 Zeiler, Christoph 4 Adams, Nikolaus A. 4 Ahmed, Elyes 4 Bauzet, Caroline 4 Berardi, Marco 4 Burbulla, Samuel 4 Bürger, Raimund 4 Chandrashekar, Praveen 4 Coclite, Giuseppe Maria 4 Del Rey Fernández, David C. 4 Di Ruvo, Lorenzo 4 Dreyer, Wolfgang 4 Eggenweiler, Elissa 4 Fechter, Stefan 4 Guarguaglini, Francesca Romana 4 Halpern, Laurence 4 Haspot, Boris 4 Helmig, Rainer 4 Ketcheson, David I. 4 Kmit, Irina 4 Kumar, Harish 4 Kusch, Jonas 4 Liu, Tiegang 4 Masson, Roland 4 Mathis, Hélène 4 Ray, Nadja 4 Risebro, Nils Henrik 4 Schleper, Veronika 4 Schnücke, Gero 4 Seguin, Nicolas 4 Tian, Lulu 4 von Wolff, Lars 4 Wang, Shu 3 Abgrall, Rémi 3 Armiti-Juber, Alaa 3 Beck, Andrea D. 3 Bhoriya, Deepak 3 Bolemann, Thomas 3 Boukharfane, Radouan 3 Cancès, Clément 3 Carpenter, Mark H. 3 Charrier, Julia 3 Difonzo, Fabio Vito 3 Flemisch, Bernd 3 Frank, Martin 3 Gallouët, Thierry 3 Ghidaglia, Jean-Michel 3 Hantke, Maren 3 Hillen, Thomas 3 Hindenlang, Florian J. 3 Hoang, Thi-Thao-Phuong 3 Hong, Hakho 3 Jaegle, Felix 3 Jiang, Yaolin ...and 775 more Authors all top 5 Cited in 128 Serials 77 Journal of Computational Physics 32 Journal of Scientific Computing 20 Journal of Differential Equations 19 Computer Methods in Applied Mechanics and Engineering 18 Computational Geosciences 16 Applied Numerical Mathematics 15 Applied Mathematics and Computation 14 Journal of Mathematical Analysis and Applications 12 Computers & Mathematics with Applications 12 Mathematics of Computation 11 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 10 Computers and Fluids 10 SIAM Journal on Numerical Analysis 10 SIAM Journal on Scientific Computing 9 BIT 9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 9 Journal of Hyperbolic Differential Equations 9 Communications in Computational Physics 8 Numerische Mathematik 7 Mathematical Methods in the Applied Sciences 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Journal of Computational and Applied Mathematics 7 SIAM Journal on Mathematical Analysis 6 Discrete and Continuous Dynamical Systems 5 Physica D 4 Archive for Rational Mechanics and Analysis 4 International Journal for Numerical Methods in Fluids 4 Journal of Mathematical Physics 4 Numerical Methods for Partial Differential Equations 4 Applied Mathematical Modelling 4 Journal of Dynamics and Differential Equations 4 Nonlinear Analysis. Real World Applications 4 Multiscale Modeling & Simulation 4 Oberwolfach Reports 3 Quarterly of Applied Mathematics 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Journal de Mathématiques Pures et Appliquées. 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(English Edition) 2 Journal of Numerical Mathematics 2 Communications on Pure and Applied Analysis 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Acta Numerica 2 Boundary Value Problems 2 Networks and Heterogeneous Media 2 Advances in Applied Mathematics and Mechanics 2 SMAI Journal of Computational Mathematics 2 Communications on Applied Mathematics and Computation 2 Communications in Mathematical Analysis and Applications 1 Applicable Analysis 1 Fluid Dynamics 1 International Journal of Engineering Science 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Engineering Mathematics 1 Journal of the Mechanics and Physics of Solids 1 Chaos, Solitons and Fractals 1 Acta Mathematica Vietnamica 1 Hokkaido Mathematical Journal 1 International Journal for Numerical Methods in Engineering 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Mathematica Numerica Sinica 1 Constructive Approximation 1 Applied Mathematics Letters 1 Asymptotic Analysis 1 European Journal of Applied Mathematics 1 The Annals of Applied Probability 1 Communications in Partial Differential Equations 1 International Journal of Computer Mathematics 1 SIAM Journal on Applied Mathematics 1 Stochastic Processes and their Applications 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Physics of Fluids 1 Journal of Mathematical Sciences (New York) 1 Electronic Journal of Differential Equations (EJDE) 1 Computational and Applied Mathematics 1 Bulletin des Sciences Mathématiques 1 International Journal of Computational Fluid Dynamics 1 Vietnam Journal of Mathematics 1 Abstract and Applied Analysis ...and 28 more Serials all top 5 Cited in 32 Fields 349 Partial differential equations (35-XX) 327 Fluid mechanics (76-XX) 313 Numerical analysis (65-XX) 38 Probability theory and stochastic processes (60-XX) 37 Mechanics of deformable solids (74-XX) 25 Classical thermodynamics, heat transfer (80-XX) 20 Biology and other natural sciences (92-XX) 16 Computer science (68-XX) 15 Statistical mechanics, structure of matter (82-XX) 14 Optics, electromagnetic theory (78-XX) 13 Geophysics (86-XX) 10 Dynamical systems and ergodic theory (37-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 8 Statistics (62-XX) 7 Integral equations (45-XX) 7 Operations research, mathematical programming (90-XX) 6 Ordinary differential equations (34-XX) 6 Approximations and expansions (41-XX) 5 Functional analysis (46-XX) 5 Astronomy and astrophysics (85-XX) 4 General and overarching topics; collections (00-XX) 3 Operator theory (47-XX) 2 Real functions (26-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Relativity and gravitational theory (83-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 General topology (54-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year