# zbMATH — the first resource for mathematics

## Rohde, Christian

Compute Distance To:
 Author ID: rohde.christian Published as: Rohde, C.; Rohde, Ch.; Rohde, Christian Homepage: http://www.ians.uni-stuttgart.de/am/mitarbeiter/rohde/ External Links: MGP · Wikidata · ResearchGate
 Documents Indexed: 107 Publications since 1996, including 5 Books
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 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 3 Colombo, Rinaldo M. 3 Coquel, Frédéric 3 Diehl, Dennis 3 Giesselmann, Jan 3 Köppel, Markus 3 Merkle, Christian 3 Meyer, Fabian 3 Munz, Claus-Dieter 3 Xie, Feng 3 Yong, Wen-An 2 Bürger, Raimund 2 Corli, Andrea 2 Dressel, Alexander 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 Seus, David 2 Wiebe, Maria 1 Barth, Andrea 1 Beck, Andrea D. 1 Betancourt, Fernando 1 Burbulla, Samuel 1 Dreyer, Wolfgang 1 Dumbser, Michael 1 Dürrwächter, Jakob 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 Jaegle, Felix 1 Kraus, Christiane 1 Kremser, Jenny 1 Kuhn, Thomas 1 Küther, Marc 1 Lagoutière, Frédéric 1 Lutscher, Frithjof 1 Mai Duc Thanh 1 Mercier, Jean-Marc 1 Mitra, Koondanibha 1 Oladyshkin, Sergey 1 Ostrowski, Lukas 1 Pflüger, Dirk 1 Ray, Deep 1 Redeker, Magnus 1 Roller, Sabine 1 Rybak, I. V. 1 Santin, Gabriele 1 Schleper, Veronika 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 von Wolff, Lars 1 Wang, Wenjun 1 Wittwar, Dominik 1 Zajączkowski, Wojciech M.
all top 5

#### Serials

 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 SIAM Journal on Scientific Computing 3 Oberwolfach Reports 2 IMA Journal of Numerical Analysis 2 Journal of Computational Physics 2 Indiana University Mathematics Journal 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 SIAM Journal on Mathematical Analysis 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 Computers and Fluids 1 Computer Methods in Applied Mechanics and Engineering 1 IMA Journal of Applied Mathematics 1 Mathematics of Computation 1 BIT 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 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

 74 Fluid mechanics (76-XX) 65 Partial differential equations (35-XX) 51 Numerical analysis (65-XX) 11 Mechanics of deformable solids (74-XX) 8 General and overarching topics; collections (00-XX) 6 Optics, electromagnetic theory (78-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Probability theory and stochastic processes (60-XX) 4 Astronomy and astrophysics (85-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 Statistics (62-XX) 1 Ordinary differential equations (34-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH

78 Publications have been cited 461 times in 322 Documents Cited by Year
Fully discrete, entropy conservative schemes of arbitrary order. Zbl 1033.65073
LeFloch, P. G.; Mercier, J. M.; Rohde, C.
2002
On local and nonlocal Navier-Stokes-Korteweg systems for liquid-vapour phase transitions. Zbl 1099.76072
Rohde, Christian
2005
High-order schemes, entropy inequalities, and nonclassical shocks. Zbl 0959.35117
LeFloch, Philippe G.; Rohde, Christian
2000
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
Existence of weak solutions for a hyperbolic model of chemosensitive movement. Zbl 0984.35043
Hillen, Thomas; Rohde, Christian; Lutscher, Frithjof
2001
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
Error estimates for finite volume approximations of classical solutions for nonlinear systems of hyperbolic balance laws. Zbl 1111.65081
Jovanovic, Vladimir; Rohde, Christian
2006
Fast relaxation solvers for hyperbolic-elliptic phase transition problems. Zbl 1387.80009
Chalons, Ch.; Coquel, F.; Engel, P.; Rohde, Ch.
2012
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
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
Asymptotic analysis for Korteweg models. Zbl 1241.76375
Dreyer, Wolfgang; Giesselmann, Jan; Kraus, Christiane; Rohde, Christian
2012
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 05859801
Rohde, Christian
2010
Adaptive finite volume approximations for weakly coupled convection dominated parabolic systems. Zbl 1007.65059
Ohlberger, Mario; Rohde, Christian
2002
A relaxation Riemann solver for compressible two-phase flow with phase transition and surface tension. Zbl 1320.76095
Rohde, Christian; Zeiler, Christoph
2015
Numerical approximation of entropy solutions for hyperbolic integro-differential equations. Zbl 1060.65135
Dedner, Andreas; Rohde, Christian
2004
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 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
Local discontinuous-Galerkin schemes for model problems in phase transition theory. Zbl 1364.76087
Haink, Jenny; Rohde, Christian
2008
Finite-volume schemes for Friedrichs systems in multiple space dimensions: a priori and a posteriori error estimates. Zbl 1068.65113
Jovanović, Vladimir; Rohde, Christian
2005
FV-schemes for a scalar model problem of radiation magnetohydrodynamics. Zbl 1177.76221
Dedner, Andreas; Rohde, Christian
2002
Decay rates to viscous contact waves for a 1D compressible radiation hydrodynamics model. Zbl 1270.35112
Rohde, Christian; Xie, Feng
2013
Scalar conservation laws with mixed local and nonlocal diffusion-dispersion terms. Zbl 1098.35103
Rohde, Christian
2005
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
A finite volume method for undercompressive shock waves in two space dimensions. Zbl 1397.76086
Chalons, Christophe; Rohde, Christian; Wiebe, Maria
2017
Parabolic approximations of diffusive-dispersive equations. Zbl 1311.35153
Corli, Andrea; Rohde, Christian; Schleper, Veronika
2014
A multiscale method for compressible liquid-vapor flow with surface tension. Zbl 1329.76175
Jaegle, Felix; Rohde, Christian; Zeiler, Christoph
2012
Entropy solutions for weakly coupled hyperbolic systems in several space dimensions. Zbl 0906.35058
Rohde, Christian
1998
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
Upscaling of a tri-phase phase-field model for precipitation in porous media. Zbl 1406.35297
Redeker, Magnus; Rohde, Christian; Sorin Pop, Iuliu
2016
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
Singular limits for a parabolic-elliptic regularization of scalar conservation laws. Zbl 1259.35138
Corli, Andrea; Rohde, Christian
2012
A finite-volume approach to liquid-vapour fluids with phase transition. Zbl 1374.76133
Dressel, Alexander; Rohde, Christian
2008
On the Cauchy problem for the equations of ideal compressible MHD fluids with radiation. Zbl 1099.35060
Rohde, C.; Zajączkowski, W. M.
2003
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
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
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
Stochastic modeling for heterogeneous two-phase flow. Zbl 1304.76039
Köppel, Markus; Kröker, Ilja; Rohde, Christian
2014
A conservative and convergent scheme for undercompressive shock waves. Zbl 1378.76057
Chalons, Ch.; Engel, P.; Rohde, Ch.
2014
A low-order approximation for viscous-capillary phase transition dynamics. Zbl 1302.35249
Engel, Patrick; Viorel, Adrian; Rohde, Christian
2013
A kinetic decomposition for singular limits of non-local conservation laws. Zbl 1180.35349
Kissling, Frederike; LeFloch, Philippe G.; Rohde, Christian
2009
Dissipative entropy and global smooth solutions in radiation hydrodynamics and magnetohydrodynamics. Zbl 1157.76057
Rohde, Christian; Yong, Wenan
2008
Computation of dynamical phase transitions in solids. Zbl 1116.74049
Merkle, C.; Rohde, C.
2006
Phase transitions and sharp-interface limits for the 1d-elasticity system with non-local energy. Zbl 1067.35131
Rohde, Christian
2005
A new approach to divergence cleaning in magnetohydrodynamic simulations. Zbl 1061.76036
Dedner, Andreas; Rohde, Christian; Wesenberg, Matthias
2003
Existence, bifurcation, and stability of profiles for classical and non-classical shock waves. Zbl 1002.35087
Freistühler, Heinrich; Fries, Christian; Rohde, Christian
2001
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
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
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
Finite-volume schemes for Friedrichs systems with involutions. Zbl 1410.78029
Betancourt, Fernando; Rohde, Christian
2016
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
Almost parallel flows in porous media. Zbl 1426.76330
Armiti-Juber, Alaa; Rohde, Christian
2014
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
Compressible multicomponent flow in porous media with Maxwell-Stefan diffusion. Zbl 07242878
Ostrowski, Lukas; Rohde, Christian
2020
a posteriori error analysis for random scalar conservation laws using the stochastic Galerkin method. Zbl 07199503
Meyer, Fabian; Rohde, Christian; Giesselmann, Jan
2020
On Darcy- and Brinkman-type models for two-phase flow in asymptotically flat domains. Zbl 1414.76051
Armiti-Juber, Alaa; Rohde, Christian
2019
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
On Riemann solvers and kinetic relations for isothermal two-phase flows with surface tension. Zbl 1410.35105
Rohde, Christian; Zeiler, Christoph
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
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
Persistence of undercompressive phase boundaries for isothermal Euler equations including configurational forces and surface tension. Zbl 1352.35102
Kabil, Bugra; Rohde, Christian
2016
The influence of surface tension and configurational forces on the stability of liquid-vapor interfaces. Zbl 06302180
Kabil, B.; Rohde, C.
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
Fuhrmann, Jürgen (ed.); Ohlberger, Mario (ed.); Rohde, Christian (ed.)
2014
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
Uncertainty quantification for a clarifier-thickener model with random feed. Zbl 1246.76069
Bürger, Raimund; Kröker, Ilja; Rohde, Christian
2011
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 higher-order finite volume schemes for (real gas) magnetohydrodynamics. Zbl 1059.76518
Dedner, Andreas; Rohde, Christian; Wesenberg, Matthias
2003
Efficient divergence cleaning in three-dimensional MHD simulations. Zbl 1143.76498
Dedner, A.; Kröner, D.; Rohde, C.; Wesenberg, M.
2003
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
Compressible multicomponent flow in porous media with Maxwell-Stefan diffusion. Zbl 07242878
Ostrowski, Lukas; Rohde, Christian
2020
a posteriori error analysis for random scalar conservation laws using the stochastic Galerkin method. Zbl 07199503
Meyer, Fabian; Rohde, Christian; Giesselmann, Jan
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
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
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
On Riemann solvers and kinetic relations for isothermal two-phase flows with surface tension. Zbl 1410.35105
Rohde, Christian; Zeiler, Christoph
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
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
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
Upscaling of a tri-phase phase-field model for precipitation in porous media. Zbl 1406.35297
Redeker, Magnus; Rohde, Christian; Sorin Pop, Iuliu
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
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
Stochastic modeling for heterogeneous two-phase flow. Zbl 1304.76039
Köppel, Markus; Kröker, Ilja; Rohde, Christian
2014
A conservative and convergent scheme for undercompressive shock waves. Zbl 1378.76057
Chalons, Ch.; Engel, P.; Rohde, Ch.
2014
Almost parallel flows in porous media. Zbl 1426.76330
Armiti-Juber, Alaa; Rohde, Christian
2014
The influence of surface tension and configurational forces on the stability of liquid-vapor interfaces. Zbl 06302180
Kabil, B.; Rohde, C.
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
Fuhrmann, Jürgen (ed.); Ohlberger, Mario (ed.); Rohde, Christian (ed.)
2014
Decay rates to viscous contact waves for a 1D compressible radiation hydrodynamics model. Zbl 1270.35112
Rohde, Christian; Xie, Feng
2013
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
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 05859801
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
Jovanovic, Vladimir; Rohde, Christian
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
Finite-volume schemes for Friedrichs systems in multiple space dimensions: a priori and a posteriori error estimates. Zbl 1068.65113
Jovanović, Vladimir; Rohde, Christian
2005
Scalar conservation laws with mixed local and nonlocal diffusion-dispersion terms. Zbl 1098.35103
Rohde, Christian
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 higher-order finite volume schemes for (real gas) magnetohydrodynamics. Zbl 1059.76518
Dedner, Andreas; Rohde, Christian; Wesenberg, Matthias
2003
Efficient divergence cleaning in three-dimensional MHD simulations. Zbl 1143.76498
Dedner, A.; Kröner, D.; Rohde, C.; Wesenberg, M.
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 512 Authors

 38 Rohde, Christian 9 Giesselmann, Jan 8 Dedner, Andreas S. 8 Gassner, Gregor J. 8 Kröner, Dietmar 7 Jiang, Peng 7 LeFloch, Philippe Gerard 7 Mishra, Siddhartha 6 Kröker, Ilja 6 Munz, Claus-Dieter 6 Ohlberger, Mario 6 Winters, Andrew R. 5 Cifani, Simone 5 Fjordholm, Ulrik Skre 5 Freistühler, Heinrich 5 Gander, Martin Jakob 5 Jakobsen, Espen Robstad 5 Karlsen, Kenneth Hvistendahl 5 Ranocha, Hendrik 5 Tadmor, Eitan 5 Yang, Jianwei 5 Zeiler, Christoph 4 Bauzet, Caroline 4 Charve, Frédéric 4 Coclite, Giuseppe Maria 4 Di Ruvo, Lorenzo 4 Dreyer, Wolfgang 4 Guarguaglini, Francesca Romana 4 Halpern, Laurence 4 Haspot, Boris 4 Kmit, Irina 4 Lukáčová-Medvid’ová, Mária 4 Pop, Iuliu Sorin 4 Ray, Deep 4 Risebro, Nils Henrik 4 Schleper, Veronika 4 Shu, Chi-Wang 4 Tian, Lulu 4 Wang, Shu 4 Xie, Feng 3 Carpenter, Mark H. 3 Charrier, Julia 3 Dumbser, Michael 3 Fechter, Stefan 3 Gallouët, Thierry 3 Ghidaglia, Jean-Michel 3 Hillen, Thomas 3 Jaegle, Felix 3 Jiang, Yaolin 3 Kissling, Frederike 3 Klöfkorn, Robert 3 Klyuchnyk, Roman 3 Kraus, Christiane 3 Kuerten, J. G. M. 3 Masson, Roland 3 Mathis, Hélène 3 Nowak, Wolfgang 3 Parsani, Matteo 3 Ruan, Lizhi 3 Seguin, Nicolas 3 van der Vegt, Jaap J. W. 3 Wesenberg, Matthias 3 Wu, Shulin 3 Xu, Yan 2 Alibaud, Nathaël 2 Arminjon, Paul 2 Armiti-Juber, Alaa 2 Baccouch, Mahboub 2 Bause, Markus 2 Bennequin, Daniel 2 Berthon, Christophe 2 Bessemoulin-Chatard, Marianne 2 Biswas, Biswarup 2 Bolemann, Thomas 2 Bouche, Daniel P. 2 Bringedal, Carina 2 Bürger, Raimund 2 Cancès, Clément 2 Chalons, Christophe 2 Chandrashekar, Praveen 2 Coquel, Frédéric 2 Corli, Andrea 2 Dalcín, Lisandro D. 2 Derigs, Dominik 2 Dotti, Sylvain 2 Dubey, Ritesh Kumar 2 Duraisamy, Karthik 2 Fan, Lili 2 Feireisl, Eduard 2 Fellner, Klemens 2 Frigeri, Sergio 2 Geng, Yongcai 2 Gomes, Anna Karina Fontes 2 Gouasmi, Ayoub 2 Grasselli, Maurizio 2 Haasdonk, Bernard 2 Hantke, Maren 2 Helluy, Philippe 2 Hesthaven, Jan S. 2 Hoang, Thi-Thao-Phuong ...and 412 more Authors
all top 5

#### Cited in 93 Serials

 31 Journal of Computational Physics 15 Journal of Scientific Computing 14 Applied Numerical Mathematics 13 Journal of Differential Equations 11 Journal of Mathematical Analysis and Applications 11 Applied Mathematics and Computation 10 Mathematics of Computation 9 Computers and Fluids 9 Journal of Hyperbolic Differential Equations 8 Computers & Mathematics with Applications 8 Numerische Mathematik 8 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 8 Computational Geosciences 7 BIT 7 SIAM Journal on Numerical Analysis 7 SIAM Journal on Scientific Computing 7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 5 Computer Methods in Applied Mechanics and Engineering 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Physica D 5 SIAM Journal on Mathematical Analysis 4 International Journal for Numerical Methods in Fluids 4 Mathematical Methods in the Applied Sciences 4 Journal of Computational and Applied Mathematics 3 Archive for Rational Mechanics and Analysis 3 Journal of Mathematical Physics 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Continuum Mechanics and Thermodynamics 3 Discrete and Continuous Dynamical Systems 3 Computing and Visualization in Science 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 3 Interfaces and Free Boundaries 3 Foundations of Computational Mathematics 3 Stochastic and Partial Differential Equations. Analysis and Computations 2 Computing 2 Quarterly of Applied Mathematics 2 Acta Applicandae Mathematicae 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Nonlinear Analysis. Real World Applications 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Multiscale Modeling & Simulation 2 Acta Numerica 2 Boundary Value Problems 2 Networks and Heterogeneous Media 1 Acta Mechanica 1 Fluid Dynamics 1 International Journal of Engineering Science 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Engineering Mathematics 1 Journal of Fluid Mechanics 1 Journal of the Mechanics and Physics of Solids 1 Calcolo 1 International Journal for Numerical Methods in Engineering 1 Journal of Functional Analysis 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Applied Mathematics Letters 1 Asymptotic Analysis 1 Applications of Mathematics 1 Numerical Algorithms 1 Applied Mathematical Modelling 1 Communications in Partial Differential Equations 1 Journal of Dynamics and Differential Equations 1 Journal of Nonlinear Science 1 Physics of Fluids 1 Journal of Mathematical Sciences (New York) 1 NoDEA. Nonlinear Differential Equations and Applications 1 Bulletin des Sciences Mathématiques 1 Advances in Computational Mathematics 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 Discrete and Continuous Dynamical Systems. Series B 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 Oberwolfach Reports 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Computational & Mathematical Methods in Medicine 1 Electronic Research Announcements in Mathematical Sciences 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 SMAI Journal of Computational Mathematics
all top 5

#### Cited in 26 Fields

 201 Partial differential equations (35-XX) 176 Fluid mechanics (76-XX) 166 Numerical analysis (65-XX) 22 Mechanics of deformable solids (74-XX) 18 Probability theory and stochastic processes (60-XX) 14 Classical thermodynamics, heat transfer (80-XX) 14 Biology and other natural sciences (92-XX) 10 Optics, electromagnetic theory (78-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Integral equations (45-XX) 6 Statistical mechanics, structure of matter (82-XX) 4 Astronomy and astrophysics (85-XX) 4 Geophysics (86-XX) 3 Ordinary differential equations (34-XX) 3 Operator theory (47-XX) 3 Operations research, mathematical programming (90-XX) 2 General and overarching topics; collections (00-XX) 2 Functional analysis (46-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Approximations and expansions (41-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX)

#### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.