Rohde, Christian

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 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
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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.
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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
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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)

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 1033.65073
LeFloch, P. G.; Mercier, J. M.; Rohde, C.
2002
High-order schemes, entropy inequalities, and nonclassical shocks. Zbl 0959.35117
LeFloch, Philippe G.; Rohde, Christian
2000
On local and nonlocal Navier-Stokes-Korteweg systems for liquid-vapour phase transitions. Zbl 1099.76072
Rohde, Christian
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
2015
The nonrelativistic limit in radiation hydrodynamics. I: Weak entropy solutions for a model problem. Zbl 1108.76086
Rohde, Christian; Yong, Wenan
2007
The sharp-interface approach for fluids with phase change: Riemann problems and ghost fluid techniques. Zbl 1134.35074
Merkle, Christian; Rohde, Christian
2007
Overlapping Schwarz waveform relaxation for convection-dominated nonlinear conservation laws. Zbl 1105.65098
Gander, Martin J.; Rohde, Christian
2005
Finite volume schemes for hyperbolic balance laws with multiplicative noise. Zbl 1241.65013
Kröker, Ilja; Rohde, Christian
2012
Existence of weak solutions for a hyperbolic model of chemosensitive movement. Zbl 0984.35043
Hillen, Thomas; Rohde, Christian; Lutscher, Frithjof
2001
Error estimates for finite volume approximations of classical solutions for nonlinear systems of hyperbolic balance laws. Zbl 1111.65081
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.
2005
Upscaling of a tri-phase phase-field model for precipitation in porous media. Zbl 1406.35297
Redeker, Magnus; Rohde, Christian; Sorin Pop, Iuliu
2016
Fast relaxation solvers for hyperbolic-elliptic phase transition problems. Zbl 1387.80009
Chalons, Ch.; Coquel, F.; Engel, P.; Rohde, Ch.
2012
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
2017
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
2018
The computation of nonclassical shock waves with a heterogeneous multiscale method. Zbl 1270.35312
Kissling, Frederike; Rohde, Christian
2010
Adaptive finite volume approximations for weakly coupled convection dominated parabolic systems. Zbl 1007.65059
Ohlberger, Mario; Rohde, Christian
2002
Asymptotic analysis for Korteweg models. Zbl 1241.76375
Dreyer, Wolfgang; Giesselmann, Jan; Kraus, Christiane; Rohde, Christian
2012
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
2014
A relaxation Riemann solver for compressible two-phase flow with phase transition and surface tension. Zbl 1320.76095
Rohde, Christian; Zeiler, Christoph
2015
A local and low-order Navier-Stokes-Korteweg system. Zbl 1453.35139
Rohde, Christian
2010
Numerical approximation of entropy solutions for hyperbolic integro-differential equations. Zbl 1060.65135
Dedner, Andreas; Rohde, Christian
2004
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
2013
FV-schemes for a scalar model problem of radiation magnetohydrodynamics. Zbl 1177.76221
Dedner, Andreas; Rohde, Christian
2002
Constraint-aware neural networks for Riemann problems. Zbl 1435.76046
Magiera, Jim; Ray, Deep; Hesthaven, Jan S.; Rohde, Christian
2020
Local discontinuous-Galerkin schemes for model problems in phase transition theory. Zbl 1364.76087
Haink, Jenny; Rohde, Christian
2008
Decay rates to viscous contact waves for a 1D compressible radiation hydrodynamics model. Zbl 1270.35112
Rohde, Christian; Xie, Feng
2013
A finite volume method for undercompressive shock waves in two space dimensions. Zbl 1397.76086
Chalons, Christophe; Rohde, Christian; Wiebe, Maria
2017
Scalar conservation laws with mixed local and nonlocal diffusion-dispersion terms. Zbl 1098.35103
Rohde, Christian
2005
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
2019
A parallel, load-balanced MHD code on locally-adapted, unstructured grids in 3d. Zbl 1120.76338
Dedner, Andreas; Rohde, Christian; Schupp, Bernhard; Wesenberg, Matthias
2004
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
2016
Zero diffusion-dispersion limits for self-similar Riemann solutions to hyperbolic systems of conservation laws. Zbl 1082.35106
LeFloch, Philippe G.; Rohde, Christian
2001
Entropy solutions for weakly coupled hyperbolic systems in several space dimensions. Zbl 0906.35058
Rohde, Christian
1998
Parabolic approximations of diffusive-dispersive equations. Zbl 1311.35153
Corli, Andrea; Rohde, Christian; Schleper, Veronika
2014
A stochastically and spatially adaptive parallel scheme for uncertain and nonlinear two-phase flow problems. Zbl 1396.65126
Kröker, Ilja; Nowak, Wolfgang; Rohde, Christian
2015
A multiscale method for compressible liquid-vapor flow with surface tension. Zbl 1329.76175
Jaegle, Felix; Rohde, Christian; Zeiler, Christoph
2012
Singular limits for a parabolic-elliptic regularization of scalar conservation laws. Zbl 1259.35138
Corli, Andrea; Rohde, Christian
2012
Finite-volume schemes for Friedrichs systems in multiple space dimensions: a priori and a posteriori error estimates. Zbl 1068.65113
2005
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
2001
Existence, bifurcation, and stability of profiles for classical and non-classical shock waves. Zbl 1002.35087
Freistühler, Heinrich; Fries, Christian; Rohde, Christian
2001
A finite-volume approach to liquid-vapour fluids with phase transition. Zbl 1374.76133
Dressel, Alexander; Rohde, Christian
2008
A conservative and convergent scheme for undercompressive shock waves. Zbl 1378.76057
Chalons, Ch.; Engel, P.; Rohde, Ch.
2014
A posteriori error analysis for random scalar conservation laws using the stochastic Galerkin method. Zbl 1464.65124
Meyer, Fabian; Rohde, Christian; Giesselmann, Jan
2020
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
2018
On the Cauchy problem for the equations of ideal compressible MHD fluids with radiation. Zbl 1099.35060
Rohde, C.; Zajączkowski, W. M.
2003
Weakly coupled systems of hyperbolic conservation laws. Zbl 0883.35075
Rohde, Christian
1996
A kinetic decomposition for singular limits of non-local conservation laws. Zbl 1180.35349
Kissling, Frederike; LeFloch, Philippe G.; Rohde, Christian
2009
A low-order approximation for viscous-capillary phase transition dynamics. Zbl 1302.35249
Engel, Patrick; Viorel, Adrian; Rohde, Christian
2013
A MHD-simulation in solar physics. Zbl 1052.65542
Dedner, A.; Rohde, C.; Wesenberg, M.
1999
On Riemann solvers and kinetic relations for isothermal two-phase flows with surface tension. Zbl 1410.35105
Rohde, Christian; Zeiler, Christoph
2018
Upwind finite volume schemes for weakly coupled hyperbolic systems of conservation laws in 2D. Zbl 0918.35086
Rohde, Christian
1998
Computation of dynamical phase transitions in solids. Zbl 1116.74049
Merkle, C.; Rohde, C.
2006
The computation of nonclassical shock waves in porous media with a heterogeneous multiscale method: the multidimensional case. Zbl 1331.35232
Kissling, Frederike; Rohde, Christian
2015
Stochastic modeling for heterogeneous two-phase flow. Zbl 1304.76039
Köppel, Markus; Kröker, Ilja; Rohde, Christian
2014
A new approach to divergence cleaning in magnetohydrodynamic simulations. Zbl 1061.76036
Dedner, Andreas; Rohde, Christian; Wesenberg, Matthias
2003
Phase transitions and sharp-interface limits for the 1d-elasticity system with non-local energy. Zbl 1067.35131
Rohde, Christian
2005
Dissipative entropy and global smooth solutions in radiation hydrodynamics and magnetohydrodynamics. Zbl 1157.76057
Rohde, Christian; Yong, Wenan
2008
A ternary Cahn-Hilliard-Navier-Stokes model for two-phase flow with precipitation and dissolution. Zbl 07423790
Rohde, Christian; von Wolff, Lars
2021
A linear domain decomposition method for two-phase flow in porous media. Zbl 1425.76192
Seus, David; Radu, Florin A.; Rohde, Christian
2018
Global existence and blowup phenomenon for a 1D radiation hydrodynamics model problem. Zbl 1237.35112
Rohde, Christian; Xie, Feng
2012
The bifurcation analysis of the MHD Rankine-Hugoniot equations for a perfect gas. Zbl 1051.76025
Freistühler, Heinrich; Rohde, Christian
2003
Almost parallel flows in porous media. Zbl 1426.76330
Armiti-Juber, Alaa; Rohde, Christian
2014
Intrusive uncertainty quantification for hyperbolic-elliptic systems governing two-phase flow in heterogeneous porous media. Zbl 1396.76058
Köppel, Markus; Kröker, Ilja; Rohde, Christian
2017
Finite-volume schemes for Friedrichs systems with involutions. Zbl 1410.78029
Betancourt, Fernando; Rohde, Christian
2016
Compressible multicomponent flow in porous media with Maxwell-Stefan diffusion. Zbl 1454.35296
Ostrowski, Lukas; Rohde, Christian
2020
On the stochastic Dullin-Gottwald-Holm equation: global existence and wave-breaking phenomena. Zbl 1456.60161
Rohde, Christian; Tang, Hao
2021
Fully resolved compressible two-phase flow: modelling, analytical and numerical issues. Zbl 1418.35313
Rohde, Christian
2018
Numerical computation of viscous profiles for hyperbolic conservation laws. Zbl 1008.65094
Freistühler, Heinrich; Rohde, Christian
2002
Godunov-type schemes for the MHD equations. Zbl 1064.76560
Dedner, A.; Kröner, D.; Rohde, C.; Wesenberg, M.
2001
Global existence and uniqueness of solutions for a viscoelastic two-phase model. Zbl 1157.35016
Dressel, Alexander; Rohde, Christian
2008
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.
2005
Efficient divergence cleaning in three-dimensional MHD simulations. Zbl 1143.76498
Dedner, A.; Kröner, D.; Rohde, C.; Wesenberg, M.
2003
Uncertainty quantification for a clarifier-thickener model with random feed. Zbl 1246.76069
Bürger, Raimund; Kröker, Ilja; Rohde, Christian
2011
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
2020
A fully conforming finite volume approach to two-phase flow in fractured porous media. Zbl 1454.65137
Burbulla, Samuel; Rohde, Christian
2020
Homogenization of nonlocal Navier-Stokes-Korteweg equations for compressible liquid-vapor flow in porous media. Zbl 1454.76098
Rohde, Christian; von Wolff, Lars
2020
On Darcy- and Brinkman-type models for two-phase flow in asymptotically flat domains. Zbl 1414.76051
Armiti-Juber, Alaa; Rohde, Christian
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
2019
Numerical methods for viscous profiles of non-classical shock waves. Zbl 0936.76063
Freistühler, Heinrich; Rohde, Christian
1999
Persistence of undercompressive phase boundaries for isothermal Euler equations including configurational forces and surface tension. Zbl 1352.35102
Kabil, Bugra; Rohde, Christian
2016
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
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
2014
Efficient higher-order finite volume schemes for (real gas) magnetohydrodynamics. Zbl 1059.76518
Dedner, Andreas; Rohde, Christian; Wesenberg, Matthias
2003
The influence of surface tension and configurational forces on the stability of liquid-vapor interfaces. Zbl 1453.76213
Kabil, B.; Rohde, C.
2014
Relaxation of the Navier-Stokes-Korteweg equations for compressible two-phase flow with phase transition. Zbl 1455.65176
Neusser, J.; Rohde, C.; Schleper, V.
2015
A particle-based multiscale solver for compressible liquid-vapor flow. Zbl 1407.76123
Magiera, Jim; Rohde, Christian
2018
A ternary Cahn-Hilliard-Navier-Stokes model for two-phase flow with precipitation and dissolution. Zbl 07423790
Rohde, Christian; von Wolff, Lars
2021
On the stochastic Dullin-Gottwald-Holm equation: global existence and wave-breaking phenomena. Zbl 1456.60161
Rohde, Christian; Tang, Hao
2021
Constraint-aware neural networks for Riemann problems. Zbl 1435.76046
Magiera, Jim; Ray, Deep; Hesthaven, Jan S.; Rohde, Christian
2020
A posteriori error analysis for random scalar conservation laws using the stochastic Galerkin method. Zbl 1464.65124
Meyer, Fabian; Rohde, Christian; Giesselmann, Jan
2020
Compressible multicomponent flow in porous media with Maxwell-Stefan diffusion. Zbl 1454.35296
Ostrowski, Lukas; Rohde, Christian
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
2020
A fully conforming finite volume approach to two-phase flow in fractured porous media. Zbl 1454.65137
Burbulla, Samuel; Rohde, Christian
2020
Homogenization of nonlocal Navier-Stokes-Korteweg equations for compressible liquid-vapor flow in porous media. Zbl 1454.76098
Rohde, Christian; von Wolff, Lars
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
2019
On Darcy- and Brinkman-type models for two-phase flow in asymptotically flat domains. Zbl 1414.76051
Armiti-Juber, Alaa; Rohde, Christian
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
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
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
2018
On Riemann solvers and kinetic relations for isothermal two-phase flows with surface tension. Zbl 1410.35105
Rohde, Christian; Zeiler, Christoph
2018
A linear domain decomposition method for two-phase flow in porous media. Zbl 1425.76192
Seus, David; Radu, Florin A.; Rohde, Christian
2018
Fully resolved compressible two-phase flow: modelling, analytical and numerical issues. Zbl 1418.35313
Rohde, Christian
2018
A particle-based multiscale solver for compressible liquid-vapor flow. Zbl 1407.76123
Magiera, Jim; Rohde, Christian
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
2017
A finite volume method for undercompressive shock waves in two space dimensions. Zbl 1397.76086
Chalons, Christophe; Rohde, Christian; Wiebe, Maria
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
2017
Upscaling of a tri-phase phase-field model for precipitation in porous media. Zbl 1406.35297
Redeker, Magnus; Rohde, Christian; Sorin Pop, Iuliu
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
2016
Finite-volume schemes for Friedrichs systems with involutions. Zbl 1410.78029
Betancourt, Fernando; Rohde, Christian
2016
Persistence of undercompressive phase boundaries for isothermal Euler equations including configurational forces and surface tension. Zbl 1352.35102
Kabil, Bugra; Rohde, Christian
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
2015
A relaxation Riemann solver for compressible two-phase flow with phase transition and surface tension. Zbl 1320.76095
Rohde, Christian; Zeiler, Christoph
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
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
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.
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
2014
Parabolic approximations of diffusive-dispersive equations. Zbl 1311.35153
Corli, Andrea; Rohde, Christian; Schleper, Veronika
2014
A conservative and convergent scheme for undercompressive shock waves. Zbl 1378.76057
Chalons, Ch.; Engel, P.; Rohde, Ch.
2014
Stochastic modeling for heterogeneous two-phase flow. Zbl 1304.76039
Köppel, Markus; Kröker, Ilja; Rohde, Christian
2014
Almost parallel flows in porous media. Zbl 1426.76330
Armiti-Juber, Alaa; Rohde, Christian
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
2014
The influence of surface tension and configurational forces on the stability of liquid-vapor interfaces. Zbl 1453.76213
Kabil, B.; Rohde, C.
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
2013
Decay rates to viscous contact waves for a 1D compressible radiation hydrodynamics model. Zbl 1270.35112
Rohde, Christian; Xie, Feng
2013
A low-order approximation for viscous-capillary phase transition dynamics. Zbl 1302.35249
Engel, Patrick; Viorel, Adrian; Rohde, Christian
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
2013
Finite volume schemes for hyperbolic balance laws with multiplicative noise. Zbl 1241.65013
Kröker, Ilja; Rohde, Christian
2012
Fast relaxation solvers for hyperbolic-elliptic phase transition problems. Zbl 1387.80009
Chalons, Ch.; Coquel, F.; Engel, P.; Rohde, Ch.
2012
Asymptotic analysis for Korteweg models. Zbl 1241.76375
Dreyer, Wolfgang; Giesselmann, Jan; Kraus, Christiane; Rohde, Christian
2012
A multiscale method for compressible liquid-vapor flow with surface tension. Zbl 1329.76175
Jaegle, Felix; Rohde, Christian; Zeiler, Christoph
2012
Singular limits for a parabolic-elliptic regularization of scalar conservation laws. Zbl 1259.35138
Corli, Andrea; Rohde, Christian
2012
Global existence and blowup phenomenon for a 1D radiation hydrodynamics model problem. Zbl 1237.35112
Rohde, Christian; Xie, Feng
2012
Uncertainty quantification for a clarifier-thickener model with random feed. Zbl 1246.76069
Bürger, Raimund; Kröker, Ilja; Rohde, Christian
2011
The computation of nonclassical shock waves with a heterogeneous multiscale method. Zbl 1270.35312
Kissling, Frederike; Rohde, Christian
2010
A local and low-order Navier-Stokes-Korteweg system. Zbl 1453.35139
Rohde, Christian
2010
A kinetic decomposition for singular limits of non-local conservation laws. Zbl 1180.35349
Kissling, Frederike; LeFloch, Philippe G.; Rohde, Christian
2009
Local discontinuous-Galerkin schemes for model problems in phase transition theory. Zbl 1364.76087
Haink, Jenny; Rohde, Christian
2008
A finite-volume approach to liquid-vapour fluids with phase transition. Zbl 1374.76133
Dressel, Alexander; Rohde, Christian
2008
Dissipative entropy and global smooth solutions in radiation hydrodynamics and magnetohydrodynamics. Zbl 1157.76057
Rohde, Christian; Yong, Wenan
2008
Global existence and uniqueness of solutions for a viscoelastic two-phase model. Zbl 1157.35016
Dressel, Alexander; Rohde, Christian
2008
The nonrelativistic limit in radiation hydrodynamics. I: Weak entropy solutions for a model problem. Zbl 1108.76086
Rohde, Christian; Yong, Wenan
2007
The sharp-interface approach for fluids with phase change: Riemann problems and ghost fluid techniques. Zbl 1134.35074
Merkle, Christian; Rohde, Christian
2007
Error estimates for finite volume approximations of classical solutions for nonlinear systems of hyperbolic balance laws. Zbl 1111.65081
2006
Computation of dynamical phase transitions in solids. Zbl 1116.74049
Merkle, C.; Rohde, C.
2006
On local and nonlocal Navier-Stokes-Korteweg systems for liquid-vapour phase transitions. Zbl 1099.76072
Rohde, Christian
2005
Overlapping Schwarz waveform relaxation for convection-dominated nonlinear conservation laws. Zbl 1105.65098
Gander, Martin J.; Rohde, Christian
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.
2005
Scalar conservation laws with mixed local and nonlocal diffusion-dispersion terms. Zbl 1098.35103
Rohde, Christian
2005
Finite-volume schemes for Friedrichs systems in multiple space dimensions: a priori and a posteriori error estimates. Zbl 1068.65113
2005
Phase transitions and sharp-interface limits for the 1d-elasticity system with non-local energy. Zbl 1067.35131
Rohde, Christian
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.
2005
Numerical approximation of entropy solutions for hyperbolic integro-differential equations. Zbl 1060.65135
Dedner, Andreas; Rohde, Christian
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
2004
On the Cauchy problem for the equations of ideal compressible MHD fluids with radiation. Zbl 1099.35060
Rohde, C.; Zajączkowski, W. M.
2003
A new approach to divergence cleaning in magnetohydrodynamic simulations. Zbl 1061.76036
Dedner, Andreas; Rohde, Christian; Wesenberg, Matthias
2003
The bifurcation analysis of the MHD Rankine-Hugoniot equations for a perfect gas. Zbl 1051.76025
Freistühler, Heinrich; Rohde, Christian
2003
Efficient divergence cleaning in three-dimensional MHD simulations. Zbl 1143.76498
Dedner, A.; Kröner, D.; Rohde, C.; Wesenberg, M.
2003
Efficient higher-order finite volume schemes for (real gas) magnetohydrodynamics. Zbl 1059.76518
Dedner, Andreas; Rohde, Christian; Wesenberg, Matthias
2003
Fully discrete, entropy conservative schemes of arbitrary order. Zbl 1033.65073
LeFloch, P. G.; Mercier, J. M.; Rohde, C.
2002
Adaptive finite volume approximations for weakly coupled convection dominated parabolic systems. Zbl 1007.65059
Ohlberger, Mario; Rohde, Christian
2002
FV-schemes for a scalar model problem of radiation magnetohydrodynamics. Zbl 1177.76221
Dedner, Andreas; Rohde, Christian
2002
Numerical computation of viscous profiles for hyperbolic conservation laws. Zbl 1008.65094
Freistühler, Heinrich; Rohde, Christian
2002
Existence of weak solutions for a hyperbolic model of chemosensitive movement. Zbl 0984.35043
Hillen, Thomas; Rohde, Christian; Lutscher, Frithjof
2001
Zero diffusion-dispersion limits for self-similar Riemann solutions to hyperbolic systems of conservation laws. Zbl 1082.35106
LeFloch, Philippe G.; Rohde, Christian
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
2001
Existence, bifurcation, and stability of profiles for classical and non-classical shock waves. Zbl 1002.35087
Freistühler, Heinrich; Fries, Christian; Rohde, Christian
2001
Godunov-type schemes for the MHD equations. Zbl 1064.76560
Dedner, A.; Kröner, D.; Rohde, C.; Wesenberg, M.
2001
High-order schemes, entropy inequalities, and nonclassical shocks. Zbl 0959.35117
LeFloch, Philippe G.; Rohde, Christian
2000
A MHD-simulation in solar physics. Zbl 1052.65542
Dedner, A.; Rohde, C.; Wesenberg, M.
1999
Numerical methods for viscous profiles of non-classical shock waves. Zbl 0936.76063
Freistühler, Heinrich; Rohde, Christian
1999
Entropy solutions for weakly coupled hyperbolic systems in several space dimensions. Zbl 0906.35058
Rohde, Christian
1998
Upwind finite volume schemes for weakly coupled hyperbolic systems of conservation laws in 2D. Zbl 0918.35086
Rohde, Christian
1998
Weakly coupled systems of hyperbolic conservation laws. Zbl 0883.35075
Rohde, Christian
1996
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
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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)