Edit Profile (opens in new tab) Rohde, Christian Compute Distance To: Compute 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: 111 Publications since 1996, including 1 Book 9 Contributions as Editor Co-Authors: 92 Co-Authors with 112 Joint Publications 2,036 Co-Co-Authors all top 5 Co-Authors 8 single-authored 11 Dedner, Andreas S. 9 Wesenberg, Matthias 8 Kröner, Dietmar 7 Kröker, Ilja 7 LeFloch, Philippe Gerard 6 Meyer, Fabian 5 Giesselmann, Jan 5 Munz, Claus-Dieter 5 Ohlberger, Mario 5 Zeiler, Christoph 4 Armiti-Juber, Alaa 4 Chalons, Christophe 4 Engel, Patrick 4 Freistühler, Heinrich 4 Kissling, Frederike 4 Magiera, Jim 4 Tang, Hao 3 Colombo, Rinaldo M. 3 Coquel, Frédéric 3 Diehl, Dennis 3 Köppel, Markus 3 Merkle, Christian 3 Ostrowski, Lukas 3 Xie, Feng 3 Yong, Wen-An 2 Beck, Andrea D. 2 Burbulla, Samuel 2 Bürger, Raimund 2 Corli, Andrea 2 Dressel, Alexander 2 Dürrwächter, Jakob 2 Fechter, Stefan 2 Fuhrmann, Jürgen 2 Gander, Martin Jakob 2 Haasdonk, Bernard 2 Haink, Jenny 2 Helmig, Rainer 2 Jovanović, Vladimir 2 Kabil, Buğra 2 Kutter, Michael 2 Nowak, Wolfgang 2 Pop, Iuliu Sorin 2 Radu, Florin Adrian 2 Sändig, Anna-Margarete 2 Schleper, Veronika 2 Seus, David 2 von Wolff, Lars 2 Wiebe, Maria 1 Alonso-Orán, Diego 1 Barth, Andrea 1 Betancourt, Fernando 1 Dreyer, Wolfgang 1 Dumbser, Michael 1 Eck, Christof 1 Ehlers, Wolfgang 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 Keim, Jens 1 Kraus, Christiane 1 Kremser, Jenny 1 Küther, Marc 1 Lagoutière, Frédéric 1 Lutscher, Frithjof 1 Mai Duc Thanh 1 Mercier, Jean-Marc 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 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 1 Zajączkowski, Wojciech M. all top 5 Serials 5 Journal of Computational Physics 5 Computational Geosciences 4 Journal of Mathematical Analysis and Applications 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 SIAM Journal on Scientific Computing 3 Oberwolfach Reports 2 Computers and Fluids 2 IMA Journal of Numerical Analysis 2 Indiana University Mathematics Journal 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 Computer Methods in Applied Mechanics and Engineering 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 Numerical Methods for Partial Differential Equations 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 84 Fluid mechanics (76-XX) 73 Partial differential equations (35-XX) 56 Numerical analysis (65-XX) 12 Mechanics of deformable solids (74-XX) 10 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) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 87 Publications have been cited 576 times in 412 Documents Cited by ▼ Year ▼ Fully discrete, entropy conservative schemes of arbitrary order. Zbl 1033.65073LeFloch, P. G.; Mercier, J. M.; Rohde, C. 62 2002 High-order schemes, entropy inequalities, and nonclassical shocks. Zbl 0959.35117LeFloch, Philippe G.; Rohde, Christian 29 2000 On local and nonlocal Navier-Stokes-Korteweg systems for liquid-vapour phase transitions. Zbl 1099.76072Rohde, Christian 25 2005 Multirate time integration for coupled saturated/unsaturated porous medium and free flow systems. Zbl 1392.76090Rybak, Iryna; Magiera, Jim; Helmig, Rainer; Rohde, Christian 21 2015 The nonrelativistic limit in radiation hydrodynamics. I: Weak entropy solutions for a model problem. Zbl 1108.76086Rohde, Christian; Yong, Wenan 21 2007 The sharp-interface approach for fluids with phase change: Riemann problems and ghost fluid techniques. Zbl 1134.35074Merkle, Christian; Rohde, Christian 20 2007 Overlapping Schwarz waveform relaxation for convection-dominated nonlinear conservation laws. Zbl 1105.65098Gander, Martin J.; Rohde, Christian 17 2005 Finite volume schemes for hyperbolic balance laws with multiplicative noise. Zbl 1241.65013Kröker, Ilja; Rohde, Christian 16 2012 Existence of weak solutions for a hyperbolic model of chemosensitive movement. Zbl 0984.35043Hillen, Thomas; Rohde, Christian; Lutscher, Frithjof 16 2001 Error estimates for finite volume approximations of classical solutions for nonlinear systems of hyperbolic balance laws. Zbl 1111.65081Jovanovic, Vladimir; Rohde, Christian 16 2006 Sharp and diffuse interface methods for phase transition problems in liquid-vapour flows. Zbl 1210.80016Coquel, F.; Rohde, C.; Merkle, C.; Diehl, D. 13 2005 Upscaling of a tri-phase phase-field model for precipitation in porous media. Zbl 1406.35297Redeker, Magnus; Rohde, Christian; Sorin Pop, Iuliu 12 2016 Fast relaxation solvers for hyperbolic-elliptic phase transition problems. Zbl 1387.80009Chalons, Ch.; Coquel, F.; Engel, P.; Rohde, Ch. 12 2012 A sharp interface method for compressible liquid-vapor flow with phase transition and surface tension. Zbl 1375.76194Fechter, Stefan; Munz, Claus-Dieter; Rohde, Christian; Zeiler, Christoph 11 2017 A linear domain decomposition method for partially saturated flow in porous media. Zbl 1440.76149Seus, David; Mitra, Koondanibha; Pop, Iuliu Sorin; Radu, Florin Adrian; Rohde, Christian 11 2018 The computation of nonclassical shock waves with a heterogeneous multiscale method. Zbl 1270.35312Kissling, Frederike; Rohde, Christian 11 2010 Adaptive finite volume approximations for weakly coupled convection dominated parabolic systems. Zbl 1007.65059Ohlberger, Mario; Rohde, Christian 10 2002 Asymptotic analysis for Korteweg models. Zbl 1241.76375Dreyer, Wolfgang; Giesselmann, Jan; Kraus, Christiane; Rohde, Christian 10 2012 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 A relaxation Riemann solver for compressible two-phase flow with phase transition and surface tension. Zbl 1320.76095Rohde, Christian; Zeiler, Christoph 10 2015 A local and low-order Navier-Stokes-Korteweg system. Zbl 1453.35139Rohde, Christian 9 2010 Numerical approximation of entropy solutions for hyperbolic integro-differential equations. Zbl 1060.65135Dedner, Andreas; Rohde, Christian 8 2004 Hyperbolic-hyperbolic relaxation limit for a 1D compressible radiation hydrodynamics model: superposition of rarefaction and contact waves. Zbl 1282.35314Rohde, Christian; Wang, Wenjun; Xie, Feng 8 2013 FV-schemes for a scalar model problem of radiation magnetohydrodynamics. Zbl 1177.76221Dedner, Andreas; Rohde, Christian 7 2002 Constraint-aware neural networks for Riemann problems. Zbl 1435.76046Magiera, Jim; Ray, Deep; Hesthaven, Jan S.; Rohde, Christian 7 2020 Local discontinuous-Galerkin schemes for model problems in phase transition theory. Zbl 1364.76087Haink, Jenny; Rohde, Christian 7 2008 Decay rates to viscous contact waves for a 1D compressible radiation hydrodynamics model. Zbl 1270.35112Rohde, Christian; Xie, Feng 7 2013 A finite volume method for undercompressive shock waves in two space dimensions. Zbl 1397.76086Chalons, Christophe; Rohde, Christian; Wiebe, Maria 6 2017 Scalar conservation laws with mixed local and nonlocal diffusion-dispersion terms. Zbl 1098.35103Rohde, Christian 6 2005 Comparison of data-driven uncertainty quantification methods for a carbon dioxide storage benchmark scenario. Zbl 1414.76058Köppel, Markus; Franzelin, Fabian; Kröker, Ilja; Oladyshkin, Sergey; Santin, Gabriele; Wittwar, Dominik; Barth, Andrea; Haasdonk, Bernard; Nowak, Wolfgang; Pflüger, Dirk; Rohde, Christian 6 2019 A parallel, load-balanced MHD code on locally-adapted, unstructured grids in 3d. Zbl 1120.76338Dedner, Andreas; Rohde, Christian; Schupp, Bernhard; Wesenberg, Matthias 6 2004 Numerical solution of Navier-Stokes-Korteweg systems by local discontinuous Galerkin methods in multiple space dimensions. Zbl 1410.76166Diehl, Dennis; Kremser, Jenny; Kröner, Dietmar; Rohde, Christian 6 2016 Zero diffusion-dispersion limits for self-similar Riemann solutions to hyperbolic systems of conservation laws. Zbl 1082.35106LeFloch, Philippe G.; Rohde, Christian 5 2001 Entropy solutions for weakly coupled hyperbolic systems in several space dimensions. Zbl 0906.35058Rohde, Christian 5 1998 Parabolic approximations of diffusive-dispersive equations. Zbl 1311.35153Corli, Andrea; Rohde, Christian; Schleper, Veronika 5 2014 A stochastically and spatially adaptive parallel scheme for uncertain and nonlinear two-phase flow problems. Zbl 1396.65126Kröker, Ilja; Nowak, Wolfgang; Rohde, Christian 5 2015 A multiscale method for compressible liquid-vapor flow with surface tension. Zbl 1329.76175Jaegle, Felix; Rohde, Christian; Zeiler, Christoph 5 2012 Singular limits for a parabolic-elliptic regularization of scalar conservation laws. Zbl 1259.35138Corli, Andrea; Rohde, Christian 5 2012 Finite-volume schemes for Friedrichs systems in multiple space dimensions: a priori and a posteriori error estimates. Zbl 1068.65113Jovanović, Vladimir; Rohde, Christian 5 2005 Convergence of a staggered Lax-Friedrichs scheme for nonlinear conservation laws on unstructured two-dimensional grids. Zbl 1001.65102Haasdonk, Bernard; Kröner, Dietmar; Rohde, Christian 4 2001 Existence, bifurcation, and stability of profiles for classical and non-classical shock waves. Zbl 1002.35087Freistühler, Heinrich; Fries, Christian; Rohde, Christian 4 2001 A finite-volume approach to liquid-vapour fluids with phase transition. Zbl 1374.76133Dressel, Alexander; Rohde, Christian 4 2008 A conservative and convergent scheme for undercompressive shock waves. Zbl 1378.76057Chalons, Ch.; Engel, P.; Rohde, Ch. 4 2014 A posteriori error analysis for random scalar conservation laws using the stochastic Galerkin method. Zbl 1464.65124Meyer, Fabian; Rohde, Christian; Giesselmann, Jan 4 2020 Approximate Riemann solver for compressible liquid vapor flow with phase transition and surface tension. Zbl 1410.76171Fechter, Stefan; Munz, Claus-Dieter; Rohde, Christian; Zeiler, Christoph 4 2018 On the Cauchy problem for the equations of ideal compressible MHD fluids with radiation. Zbl 1099.35060Rohde, C.; Zajączkowski, W. M. 4 2003 Weakly coupled systems of hyperbolic conservation laws. Zbl 0883.35075Rohde, Christian 3 1996 A kinetic decomposition for singular limits of non-local conservation laws. Zbl 1180.35349Kissling, Frederike; LeFloch, Philippe G.; Rohde, Christian 3 2009 A low-order approximation for viscous-capillary phase transition dynamics. Zbl 1302.35249Engel, Patrick; Viorel, Adrian; Rohde, Christian 3 2013 A MHD-simulation in solar physics. Zbl 1052.65542Dedner, A.; Rohde, C.; Wesenberg, M. 3 1999 On Riemann solvers and kinetic relations for isothermal two-phase flows with surface tension. Zbl 1410.35105Rohde, Christian; Zeiler, Christoph 3 2018 Upwind finite volume schemes for weakly coupled hyperbolic systems of conservation laws in 2D. Zbl 0918.35086Rohde, Christian 3 1998 Computation of dynamical phase transitions in solids. Zbl 1116.74049Merkle, C.; Rohde, C. 3 2006 The computation of nonclassical shock waves in porous media with a heterogeneous multiscale method: the multidimensional case. Zbl 1331.35232Kissling, Frederike; Rohde, Christian 3 2015 Stochastic modeling for heterogeneous two-phase flow. Zbl 1304.76039Köppel, Markus; Kröker, Ilja; Rohde, Christian 3 2014 A new approach to divergence cleaning in magnetohydrodynamic simulations. Zbl 1061.76036Dedner, Andreas; Rohde, Christian; Wesenberg, Matthias 3 2003 Phase transitions and sharp-interface limits for the 1d-elasticity system with non-local energy. Zbl 1067.35131Rohde, Christian 3 2005 Dissipative entropy and global smooth solutions in radiation hydrodynamics and magnetohydrodynamics. Zbl 1157.76057Rohde, Christian; Yong, Wenan 3 2008 A ternary Cahn-Hilliard-Navier-Stokes model for two-phase flow with precipitation and dissolution. Zbl 07423790Rohde, Christian; von Wolff, Lars 3 2021 A linear domain decomposition method for two-phase flow in porous media. Zbl 1425.76192Seus, David; Radu, Florin A.; Rohde, Christian 3 2018 Global existence and blowup phenomenon for a 1D radiation hydrodynamics model problem. Zbl 1237.35112Rohde, Christian; Xie, Feng 2 2012 The bifurcation analysis of the MHD Rankine-Hugoniot equations for a perfect gas. Zbl 1051.76025Freistühler, Heinrich; Rohde, Christian 2 2003 Almost parallel flows in porous media. Zbl 1426.76330Armiti-Juber, Alaa; Rohde, Christian 2 2014 Intrusive uncertainty quantification for hyperbolic-elliptic systems governing two-phase flow in heterogeneous porous media. Zbl 1396.76058Köppel, Markus; Kröker, Ilja; Rohde, Christian 2 2017 Finite-volume schemes for Friedrichs systems with involutions. Zbl 1410.78029Betancourt, Fernando; Rohde, Christian 2 2016 Compressible multicomponent flow in porous media with Maxwell-Stefan diffusion. Zbl 1454.35296Ostrowski, Lukas; Rohde, Christian 2 2020 On the stochastic Dullin-Gottwald-Holm equation: global existence and wave-breaking phenomena. Zbl 1456.60161Rohde, Christian; Tang, Hao 2 2021 Fully resolved compressible two-phase flow: modelling, analytical and numerical issues. Zbl 1418.35313Rohde, Christian 2 2018 Numerical computation of viscous profiles for hyperbolic conservation laws. Zbl 1008.65094Freistühler, Heinrich; Rohde, Christian 1 2002 Godunov-type schemes for the MHD equations. Zbl 1064.76560Dedner, A.; Kröner, D.; Rohde, C.; Wesenberg, M. 1 2001 Global existence and uniqueness of solutions for a viscoelastic two-phase model. Zbl 1157.35016Dressel, Alexander; Rohde, Christian 1 2008 Radiation magnetohydrodynamics: analysis for model problems and efficient 3D simulations for the full system. Zbl 1088.76075Dedner, A.; Kröner, D.; Rohde, C.; Wesenberg, M. 1 2005 Efficient divergence cleaning in three-dimensional MHD simulations. Zbl 1143.76498Dedner, A.; Kröner, D.; Rohde, C.; Wesenberg, M. 1 2003 Uncertainty quantification for a clarifier-thickener model with random feed. Zbl 1246.76069Bürger, Raimund; Kröker, Ilja; Rohde, Christian 1 2011 A posteriori error analysis and adaptive non-intrusive numerical schemes for systems of random conservation laws. Zbl 1446.65111Giesselmann, Jan; Meyer, Fabian; Rohde, Christian 1 2020 A fully conforming finite volume approach to two-phase flow in fractured porous media. Zbl 1454.65137Burbulla, Samuel; Rohde, Christian 1 2020 Homogenization of nonlocal Navier-Stokes-Korteweg equations for compressible liquid-vapor flow in porous media. Zbl 1454.76098Rohde, Christian; von Wolff, Lars 1 2020 On Darcy- and Brinkman-type models for two-phase flow in asymptotically flat domains. Zbl 1414.76051Armiti-Juber, Alaa; Rohde, Christian 1 2019 Existence of weak solutions for a nonlocal pseudo-parabolic model for Brinkman two-phase flow in asymptotically flat porous media. Zbl 1428.35343Armiti-Juber, Alaa; Rohde, Christian 1 2019 Numerical methods for viscous profiles of non-classical shock waves. Zbl 0936.76063Freistühler, Heinrich; Rohde, Christian 1 1999 Persistence of undercompressive phase boundaries for isothermal Euler equations including configurational forces and surface tension. Zbl 1352.35102Kabil, Bugra; Rohde, Christian 1 2016 A two scale model for liquid phase epitaxy with elasticity: an iterative procedure. Zbl 1432.76046Eck, Christof; Kutter, Michael; Sändig, Anna-Margarete; Rohde, Christian 1 2013 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 Efficient higher-order finite volume schemes for (real gas) magnetohydrodynamics. Zbl 1059.76518Dedner, Andreas; Rohde, Christian; Wesenberg, Matthias 1 2003 The influence of surface tension and configurational forces on the stability of liquid-vapor interfaces. Zbl 1453.76213Kabil, B.; Rohde, C. 1 2014 Relaxation of the Navier-Stokes-Korteweg equations for compressible two-phase flow with phase transition. Zbl 1455.65176Neusser, J.; Rohde, C.; Schleper, V. 1 2015 A particle-based multiscale solver for compressible liquid-vapor flow. Zbl 1407.76123Magiera, Jim; Rohde, Christian 1 2018 A ternary Cahn-Hilliard-Navier-Stokes model for two-phase flow with precipitation and dissolution. Zbl 07423790Rohde, Christian; von Wolff, Lars 3 2021 On the stochastic Dullin-Gottwald-Holm equation: global existence and wave-breaking phenomena. Zbl 1456.60161Rohde, Christian; Tang, Hao 2 2021 Constraint-aware neural networks for Riemann problems. Zbl 1435.76046Magiera, Jim; Ray, Deep; Hesthaven, Jan S.; Rohde, Christian 7 2020 A posteriori error analysis for random scalar conservation laws using the stochastic Galerkin method. Zbl 1464.65124Meyer, Fabian; Rohde, Christian; Giesselmann, Jan 4 2020 Compressible multicomponent flow in porous media with Maxwell-Stefan diffusion. Zbl 1454.35296Ostrowski, Lukas; Rohde, Christian 2 2020 A posteriori error analysis and adaptive non-intrusive numerical schemes for systems of random conservation laws. Zbl 1446.65111Giesselmann, Jan; Meyer, Fabian; Rohde, Christian 1 2020 A fully conforming finite volume approach to two-phase flow in fractured porous media. Zbl 1454.65137Burbulla, Samuel; Rohde, Christian 1 2020 Homogenization of nonlocal Navier-Stokes-Korteweg equations for compressible liquid-vapor flow in porous media. Zbl 1454.76098Rohde, Christian; von Wolff, Lars 1 2020 Comparison of data-driven uncertainty quantification methods for a carbon dioxide storage benchmark scenario. Zbl 1414.76058Köppel, Markus; Franzelin, Fabian; Kröker, Ilja; Oladyshkin, Sergey; Santin, Gabriele; Wittwar, Dominik; Barth, Andrea; Haasdonk, Bernard; Nowak, Wolfgang; Pflüger, Dirk; Rohde, Christian 6 2019 On Darcy- and Brinkman-type models for two-phase flow in asymptotically flat domains. Zbl 1414.76051Armiti-Juber, Alaa; Rohde, Christian 1 2019 Existence of weak solutions for a nonlocal pseudo-parabolic model for Brinkman two-phase flow in asymptotically flat porous media. Zbl 1428.35343Armiti-Juber, Alaa; Rohde, Christian 1 2019 A linear domain decomposition method for partially saturated flow in porous media. Zbl 1440.76149Seus, David; Mitra, Koondanibha; Pop, Iuliu Sorin; Radu, Florin Adrian; Rohde, Christian 11 2018 Approximate Riemann solver for compressible liquid vapor flow with phase transition and surface tension. Zbl 1410.76171Fechter, Stefan; Munz, Claus-Dieter; Rohde, Christian; Zeiler, Christoph 4 2018 On Riemann solvers and kinetic relations for isothermal two-phase flows with surface tension. Zbl 1410.35105Rohde, Christian; Zeiler, Christoph 3 2018 A linear domain decomposition method for two-phase flow in porous media. Zbl 1425.76192Seus, David; Radu, Florin A.; Rohde, Christian 3 2018 Fully resolved compressible two-phase flow: modelling, analytical and numerical issues. Zbl 1418.35313Rohde, Christian 2 2018 A particle-based multiscale solver for compressible liquid-vapor flow. Zbl 1407.76123Magiera, Jim; Rohde, Christian 1 2018 A sharp interface method for compressible liquid-vapor flow with phase transition and surface tension. Zbl 1375.76194Fechter, Stefan; Munz, Claus-Dieter; Rohde, Christian; Zeiler, Christoph 11 2017 A finite volume method for undercompressive shock waves in two space dimensions. Zbl 1397.76086Chalons, Christophe; Rohde, Christian; Wiebe, Maria 6 2017 Intrusive uncertainty quantification for hyperbolic-elliptic systems governing two-phase flow in heterogeneous porous media. Zbl 1396.76058Köppel, Markus; Kröker, Ilja; Rohde, Christian 2 2017 Upscaling of a tri-phase phase-field model for precipitation in porous media. Zbl 1406.35297Redeker, Magnus; Rohde, Christian; Sorin Pop, Iuliu 12 2016 Numerical solution of Navier-Stokes-Korteweg systems by local discontinuous Galerkin methods in multiple space dimensions. Zbl 1410.76166Diehl, Dennis; Kremser, Jenny; Kröner, Dietmar; Rohde, Christian 6 2016 Finite-volume schemes for Friedrichs systems with involutions. Zbl 1410.78029Betancourt, Fernando; Rohde, Christian 2 2016 Persistence of undercompressive phase boundaries for isothermal Euler equations including configurational forces and surface tension. Zbl 1352.35102Kabil, Bugra; Rohde, Christian 1 2016 Multirate time integration for coupled saturated/unsaturated porous medium and free flow systems. Zbl 1392.76090Rybak, Iryna; Magiera, Jim; Helmig, Rainer; Rohde, Christian 21 2015 A relaxation Riemann solver for compressible two-phase flow with phase transition and surface tension. Zbl 1320.76095Rohde, Christian; Zeiler, Christoph 10 2015 A stochastically and spatially adaptive parallel scheme for uncertain and nonlinear two-phase flow problems. Zbl 1396.65126Kröker, Ilja; Nowak, Wolfgang; Rohde, Christian 5 2015 The computation of nonclassical shock waves in porous media with a heterogeneous multiscale method: the multidimensional case. Zbl 1331.35232Kissling, Frederike; Rohde, Christian 3 2015 Relaxation of the Navier-Stokes-Korteweg equations for compressible two-phase flow with phase transition. Zbl 1455.65176Neusser, J.; Rohde, C.; Schleper, V. 1 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 Parabolic approximations of diffusive-dispersive equations. Zbl 1311.35153Corli, Andrea; Rohde, Christian; Schleper, Veronika 5 2014 A conservative and convergent scheme for undercompressive shock waves. Zbl 1378.76057Chalons, Ch.; Engel, P.; Rohde, Ch. 4 2014 Stochastic modeling for heterogeneous two-phase flow. Zbl 1304.76039Köppel, Markus; Kröker, Ilja; Rohde, Christian 3 2014 Almost parallel flows in porous media. Zbl 1426.76330Armiti-Juber, Alaa; Rohde, Christian 2 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 The influence of surface tension and configurational forces on the stability of liquid-vapor interfaces. Zbl 1453.76213Kabil, B.; Rohde, C. 1 2014 Hyperbolic-hyperbolic relaxation limit for a 1D compressible radiation hydrodynamics model: superposition of rarefaction and contact waves. Zbl 1282.35314Rohde, Christian; Wang, Wenjun; Xie, Feng 8 2013 Decay rates to viscous contact waves for a 1D compressible radiation hydrodynamics model. Zbl 1270.35112Rohde, Christian; Xie, Feng 7 2013 A low-order approximation for viscous-capillary phase transition dynamics. Zbl 1302.35249Engel, Patrick; Viorel, Adrian; Rohde, Christian 3 2013 A two scale model for liquid phase epitaxy with elasticity: an iterative procedure. Zbl 1432.76046Eck, Christof; Kutter, Michael; Sändig, Anna-Margarete; Rohde, Christian 1 2013 Finite volume schemes for hyperbolic balance laws with multiplicative noise. Zbl 1241.65013Kröker, Ilja; Rohde, Christian 16 2012 Fast relaxation solvers for hyperbolic-elliptic phase transition problems. Zbl 1387.80009Chalons, Ch.; Coquel, F.; Engel, P.; Rohde, Ch. 12 2012 Asymptotic analysis for Korteweg models. Zbl 1241.76375Dreyer, Wolfgang; Giesselmann, Jan; Kraus, Christiane; Rohde, Christian 10 2012 A multiscale method for compressible liquid-vapor flow with surface tension. Zbl 1329.76175Jaegle, Felix; Rohde, Christian; Zeiler, Christoph 5 2012 Singular limits for a parabolic-elliptic regularization of scalar conservation laws. Zbl 1259.35138Corli, Andrea; Rohde, Christian 5 2012 Global existence and blowup phenomenon for a 1D radiation hydrodynamics model problem. Zbl 1237.35112Rohde, Christian; Xie, Feng 2 2012 Uncertainty quantification for a clarifier-thickener model with random feed. Zbl 1246.76069Bürger, Raimund; Kröker, Ilja; Rohde, Christian 1 2011 The computation of nonclassical shock waves with a heterogeneous multiscale method. Zbl 1270.35312Kissling, Frederike; Rohde, Christian 11 2010 A local and low-order Navier-Stokes-Korteweg system. Zbl 1453.35139Rohde, Christian 9 2010 A kinetic decomposition for singular limits of non-local conservation laws. Zbl 1180.35349Kissling, Frederike; LeFloch, Philippe G.; Rohde, Christian 3 2009 Local discontinuous-Galerkin schemes for model problems in phase transition theory. Zbl 1364.76087Haink, Jenny; Rohde, Christian 7 2008 A finite-volume approach to liquid-vapour fluids with phase transition. Zbl 1374.76133Dressel, Alexander; Rohde, Christian 4 2008 Dissipative entropy and global smooth solutions in radiation hydrodynamics and magnetohydrodynamics. Zbl 1157.76057Rohde, Christian; Yong, Wenan 3 2008 Global existence and uniqueness of solutions for a viscoelastic two-phase model. Zbl 1157.35016Dressel, Alexander; Rohde, Christian 1 2008 The nonrelativistic limit in radiation hydrodynamics. I: Weak entropy solutions for a model problem. Zbl 1108.76086Rohde, Christian; Yong, Wenan 21 2007 The sharp-interface approach for fluids with phase change: Riemann problems and ghost fluid techniques. Zbl 1134.35074Merkle, Christian; Rohde, Christian 20 2007 Error estimates for finite volume approximations of classical solutions for nonlinear systems of hyperbolic balance laws. Zbl 1111.65081Jovanovic, Vladimir; Rohde, Christian 16 2006 Computation of dynamical phase transitions in solids. Zbl 1116.74049Merkle, C.; Rohde, C. 3 2006 On local and nonlocal Navier-Stokes-Korteweg systems for liquid-vapour phase transitions. Zbl 1099.76072Rohde, Christian 25 2005 Overlapping Schwarz waveform relaxation for convection-dominated nonlinear conservation laws. Zbl 1105.65098Gander, Martin J.; Rohde, Christian 17 2005 Sharp and diffuse interface methods for phase transition problems in liquid-vapour flows. Zbl 1210.80016Coquel, F.; Rohde, C.; Merkle, C.; Diehl, D. 13 2005 Scalar conservation laws with mixed local and nonlocal diffusion-dispersion terms. Zbl 1098.35103Rohde, Christian 6 2005 Finite-volume schemes for Friedrichs systems in multiple space dimensions: a priori and a posteriori error estimates. Zbl 1068.65113Jovanović, Vladimir; Rohde, Christian 5 2005 Phase transitions and sharp-interface limits for the 1d-elasticity system with non-local energy. Zbl 1067.35131Rohde, Christian 3 2005 Radiation magnetohydrodynamics: analysis for model problems and efficient 3D simulations for the full system. Zbl 1088.76075Dedner, A.; Kröner, D.; Rohde, C.; Wesenberg, M. 1 2005 Numerical approximation of entropy solutions for hyperbolic integro-differential equations. Zbl 1060.65135Dedner, Andreas; Rohde, Christian 8 2004 A parallel, load-balanced MHD code on locally-adapted, unstructured grids in 3d. Zbl 1120.76338Dedner, Andreas; Rohde, Christian; Schupp, Bernhard; Wesenberg, Matthias 6 2004 On the Cauchy problem for the equations of ideal compressible MHD fluids with radiation. Zbl 1099.35060Rohde, C.; Zajączkowski, W. M. 4 2003 A new approach to divergence cleaning in magnetohydrodynamic simulations. Zbl 1061.76036Dedner, Andreas; Rohde, Christian; Wesenberg, Matthias 3 2003 The bifurcation analysis of the MHD Rankine-Hugoniot equations for a perfect gas. Zbl 1051.76025Freistühler, Heinrich; Rohde, Christian 2 2003 Efficient divergence cleaning in three-dimensional MHD simulations. Zbl 1143.76498Dedner, A.; Kröner, D.; Rohde, C.; Wesenberg, M. 1 2003 Efficient higher-order finite volume schemes for (real gas) magnetohydrodynamics. Zbl 1059.76518Dedner, Andreas; Rohde, Christian; Wesenberg, Matthias 1 2003 Fully discrete, entropy conservative schemes of arbitrary order. Zbl 1033.65073LeFloch, P. G.; Mercier, J. M.; Rohde, C. 62 2002 Adaptive finite volume approximations for weakly coupled convection dominated parabolic systems. Zbl 1007.65059Ohlberger, Mario; Rohde, Christian 10 2002 FV-schemes for a scalar model problem of radiation magnetohydrodynamics. Zbl 1177.76221Dedner, Andreas; Rohde, Christian 7 2002 Numerical computation of viscous profiles for hyperbolic conservation laws. Zbl 1008.65094Freistühler, Heinrich; Rohde, Christian 1 2002 Existence of weak solutions for a hyperbolic model of chemosensitive movement. Zbl 0984.35043Hillen, Thomas; Rohde, Christian; Lutscher, Frithjof 16 2001 Zero diffusion-dispersion limits for self-similar Riemann solutions to hyperbolic systems of conservation laws. Zbl 1082.35106LeFloch, Philippe G.; Rohde, Christian 5 2001 Convergence of a staggered Lax-Friedrichs scheme for nonlinear conservation laws on unstructured two-dimensional grids. Zbl 1001.65102Haasdonk, Bernard; Kröner, Dietmar; Rohde, Christian 4 2001 Existence, bifurcation, and stability of profiles for classical and non-classical shock waves. Zbl 1002.35087Freistühler, Heinrich; Fries, Christian; Rohde, Christian 4 2001 Godunov-type schemes for the MHD equations. Zbl 1064.76560Dedner, A.; Kröner, D.; Rohde, C.; Wesenberg, M. 1 2001 High-order schemes, entropy inequalities, and nonclassical shocks. Zbl 0959.35117LeFloch, Philippe G.; Rohde, Christian 29 2000 A MHD-simulation in solar physics. Zbl 1052.65542Dedner, A.; Rohde, C.; Wesenberg, M. 3 1999 Numerical methods for viscous profiles of non-classical shock waves. Zbl 0936.76063Freistühler, Heinrich; Rohde, Christian 1 1999 Entropy solutions for weakly coupled hyperbolic systems in several space dimensions. Zbl 0906.35058Rohde, Christian 5 1998 Upwind finite volume schemes for weakly coupled hyperbolic systems of conservation laws in 2D. Zbl 0918.35086Rohde, Christian 3 1998 Weakly coupled systems of hyperbolic conservation laws. Zbl 0883.35075Rohde, Christian 3 1996 all cited Publications top 5 cited Publications all top 5 Cited by 646 Authors 44 Rohde, Christian 10 Gassner, Gregor J. 10 Giesselmann, Jan 10 Pop, Iuliu Sorin 9 Ranocha, Hendrik 8 Dedner, Andreas S. 8 Kröner, Dietmar 8 LeFloch, Philippe Gerard 8 Winters, Andrew R. 7 Jiang, Peng 7 Mishra, Siddhartha 7 Munz, Claus-Dieter 6 Kröker, Ilja 6 Lukáčová-Medvid’ová, Mária 6 Ohlberger, Mario 6 Ruan, Lizhi 5 Bringedal, Carina 5 Charve, Frédéric 5 Cifani, Simone 5 Fjordholm, Ulrik Skre 5 Freistühler, Heinrich 5 Gander, Martin Jakob 5 Jakobsen, Espen Robstad 5 Karlsen, Kenneth Hvistendahl 5 Ray, Deep 5 Tadmor, Eitan 5 Yang, Jianwei 5 Zeiler, Christoph 4 Bauzet, Caroline 4 Coclite, Giuseppe Maria 4 Di Ruvo, Lorenzo 4 Dreyer, Wolfgang 4 Eggenweiler, Elissa 4 Fan, Lili 4 Guarguaglini, Francesca Romana 4 Haasdonk, Bernard 4 Halpern, Laurence 4 Haspot, Boris 4 Kmit, Irina 4 Knabner, Peter 4 Masson, Roland 4 Mathis, Hélène 4 Nowak, Wolfgang 4 Risebro, Nils Henrik 4 Rybak, Iryna V. 4 Schleper, Veronika 4 Seguin, Nicolas 4 Shu, Chi-Wang 4 Tang, Hao 4 Tian, Lulu 4 von Wolff, Lars 4 Wang, Shu 4 Xiang, Wei 4 Xie, Feng 3 Abgrall, Rémi 3 Ahmed, Elyes 3 Bürger, Raimund 3 Carpenter, Mark H. 3 Charrier, Julia 3 Duan, Junming 3 Dumbser, Michael 3 Fechter, Stefan 3 Flemisch, Bernd 3 Gallouët, Thierry 3 Ghidaglia, Jean-Michel 3 Helmig, Rainer 3 Hillen, Thomas 3 Hindenlang, Florian J. 3 Jaegle, Felix 3 Jiang, Yaolin 3 Ketcheson, David I. 3 Kissling, Frederike 3 Klöfkorn, Robert 3 Klyuchnyk, Roman 3 Kraus, Christiane 3 Kuerten, J. G. M. 3 Lattanzio, Corrado 3 Makridakis, Charalambos G. 3 Meyer, Fabian 3 Oladyshkin, Sergey 3 Parsani, Matteo 3 Radu, Florin Adrian 3 Ray, Nadja 3 Santin, Gabriele 3 Svärd, Magnus 3 Tang, Huazhong 3 van der Vegt, Jaap J. W. 3 Wesenberg, Matthias 3 Wu, Shulin 3 Xu, Yan 2 Abreu, Eduardo 2 Alibaud, Nathaël 2 Arminjon, Paul 2 Armiti-Juber, Alaa 2 Baccouch, Mahboub 2 Bause, Markus 2 Bennequin, Daniel 2 Berardi, Marco 2 Berthon, Christophe 2 Bessemoulin-Chatard, Marianne ...and 546 more Authors all top 5 Cited in 106 Serials 46 Journal of Computational Physics 20 Journal of Scientific Computing 15 Journal of Differential Equations 15 Applied Numerical Mathematics 13 Applied Mathematics and Computation 13 Computational Geosciences 12 Journal of Mathematical Analysis and Applications 12 Mathematics of Computation 11 Computers & Mathematics with Applications 9 Computers and Fluids 9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 9 Journal of Hyperbolic Differential Equations 9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 8 Computer Methods in Applied Mechanics and Engineering 8 BIT 8 Numerische Mathematik 8 SIAM Journal on Numerical Analysis 7 SIAM Journal on Scientific Computing 6 Journal of Computational and Applied Mathematics 6 Communications in Computational Physics 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Physica D 5 SIAM Journal on Mathematical Analysis 5 Discrete and Continuous Dynamical Systems 4 International Journal for Numerical Methods in Fluids 4 Mathematical Methods in the Applied Sciences 4 Multiscale Modeling & Simulation 3 Archive for Rational Mechanics and Analysis 3 Journal of Mathematical Physics 3 Quarterly of Applied Mathematics 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Continuum Mechanics and Thermodynamics 3 Computing and Visualization in Science 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 3 Interfaces and Free Boundaries 3 Nonlinear Analysis. Real World Applications 3 Foundations of Computational Mathematics 3 Stochastic and Partial Differential Equations. Analysis and Computations 2 Acta Mechanica 2 Journal of Fluid Mechanics 2 Calcolo 2 Computing 2 Indiana University Mathematics Journal 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Acta Applicandae Mathematicae 2 Numerical Algorithms 2 Applied Mathematical Modelling 2 Journal of Dynamics and Differential Equations 2 Journal of Nonlinear Science 2 NoDEA. Nonlinear Differential Equations and Applications 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Discrete and Continuous Dynamical Systems. Series B 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Acta Numerica 2 Oberwolfach Reports 2 Boundary Value Problems 2 Networks and Heterogeneous Media 2 Advances in Applied Mathematics and Mechanics 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 Hokkaido Mathematical Journal 1 International Journal for Numerical Methods in Engineering 1 Journal of Functional Analysis 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Applied Mathematics Letters 1 Asymptotic Analysis 1 Applications of Mathematics 1 Communications in Partial Differential Equations 1 Stochastic Processes and their Applications 1 Physics of Fluids 1 Journal of Mathematical Sciences (New York) 1 Computational and Applied Mathematics 1 Bulletin des Sciences Mathématiques 1 Advances in Computational Mathematics 1 International Journal of Computational Fluid Dynamics 1 Vietnam Journal of Mathematics 1 Abstract and Applied Analysis 1 European Journal of Mechanics. B. Fluids 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 The ANZIAM Journal 1 Journal of Evolution Equations 1 Matematicheskoe Modelirovanie 1 Archives of Computational Methods in Engineering 1 Journal of Systems Science and Complexity 1 Portugaliae Mathematica. Nova Série 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Journal of Numerical Mathematics 1 Communications on Pure and Applied Analysis 1 Milan Journal of Mathematics 1 Analysis and Applications (Singapore) 1 International Journal of Numerical Analysis and Modeling 1 Journal of Statistical Mechanics: Theory and Experiment 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Computational & Mathematical Methods in Medicine ...and 6 more Serials all top 5 Cited in 29 Fields 253 Partial differential equations (35-XX) 238 Fluid mechanics (76-XX) 218 Numerical analysis (65-XX) 24 Probability theory and stochastic processes (60-XX) 24 Mechanics of deformable solids (74-XX) 17 Classical thermodynamics, heat transfer (80-XX) 16 Biology and other natural sciences (92-XX) 10 Optics, electromagnetic theory (78-XX) 10 Statistical mechanics, structure of matter (82-XX) 10 Geophysics (86-XX) 9 Dynamical systems and ergodic theory (37-XX) 8 Computer science (68-XX) 6 Integral equations (45-XX) 5 Ordinary differential equations (34-XX) 5 Statistics (62-XX) 4 Functional analysis (46-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Astronomy and astrophysics (85-XX) 3 Operator theory (47-XX) 3 Operations research, mathematical programming (90-XX) 2 General and overarching topics; collections (00-XX) 2 Approximations and expansions (41-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year