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Übersicht aller Preprints und Publikationen

Prof. Dr.
Christian  Rohde

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				Christian Rohde
E-Mail
Adresse
Universität Stuttgart
Institut für Angewandte Analysis und numerische Simulation, Lehrstuhl für Angewandte Mathematik
Pfaffenwaldring 57
70569  Stuttgart
Deutschland

Preprints

Giesselmann, J.; Meyer, F. & Rohde, C.: A posteriori error analysis for random scalar conservation laws using the Stochastic Galerkin method., 2017, (submitted). Zeige BibTex Zeige Abstract

Rohde, C.: Fully Resolved Compressible Two-Phase Flow: Modelling, Analytical and Numerical Issues, 2017. Zeige BibTex

Seus, D.; Mitra, K.; Pop, I. S.; Radu, F. A. & Rohde, C.: A linear domain decomposition method for partially saturated flow in porous media, 2017, (submitted). Zeige BibTex

Raja Sekhar, G. P.; Sharanya, V. & Rohde, C.: Effect of surfactant concentration and interfacial slip on the flow past a viscous drop at low surface Péclet number, arXiv preprint arXiv:1609.03410, 2016. Zeige BibTex Zeige Abstract

Rohde, C. & Zeiler, C.: On Riemann Solvers and Kinetic Relations for Isothermal Two-Phase Flows with Surface Tension, 2016. Zeige BibTex

Publikationen

Chalons, C.; Magiera, J.; Rohde, C. & Wiebe, M.: A Finite-Volume Tracking Scheme for Two-Phase Compressible Flow, erscheint bei Springer Proc. Math. Stat., 2017. Zeige BibTex

Chalons, C.; Rohde, C. & Wiebe, M.: A Finite Volume Method for Undercompressive Shock Waves in Two Space Dimensions, ESAIM Math. Model. Numer. Anal., 2017, 51, 1987-2015. Zeige BibTex

Fechter, S.; Munz, C.-D.; Rohde, C. & Zeiler, C.: A sharp interface method for compressible liquid-vapor flow with phase transition and surface tension, J. Comput. Phys., 2017, 336, 347-374. Zeige BibTex Zeige Abstract

Fechter, S.; Munz, C.-D.; Rohde, C. & Zeiler, C.: Approximate Riemann solver for compressible liquid vapor flow with phase transition and surface tension, Comput. & Fluids, 2017. Zeige BibTex

Köppel, M.; Kröker, I. & Rohde, C.: Intrusive Uncertainty Quantification for Hyperbolic-Elliptic Systems Governing Two-Phase Flow in Heterogeneous Porous Media, Comput. Geosci., 2017, 21, 807-832. Zeige BibTex

Kutter, M.; Rohde, C. & Sändig, A.-M.: Well-Posedness of a Two Scale Model for Liquid Phase Epitaxy with Elasticity, Contin. Mech. Thermodyn., 2017, 29, 989-1016. Zeige BibTex

Magiera, J. & Rohde, C.: A Particle-based Multiscale Solver for Compressible Liquid-Vapor Flow, erscheint bei Springer Proc. Math. Stat., 2017. Zeige BibTex

Barth, A.; Bürger, R.; Kröker, I. & Rohde, C.: Computational uncertainty quantification for a clarifier-thickener model with several random perturbations: A hybrid stochastic Galerkin approach , Comput. Chem. Eng., 2016, 89, 11 - 26. Zeige BibTex

Betancourt, F. & Rohde, C.: Finite-Volume Schemes for Friedrichs Systems with Involutions, App. Math. Comput., 2016, 272, Part 2, 420-439. Zeige BibTex

Colombo, R. M.; LeFloch, P. G. & Rohde, C.: Hyperbolic techniques in Modelling, Analysis and Numerics, Oberwolfach Reports, 2016, 13, 1683-1751. Zeige BibTex

Diehl, D.; Kremser, J.; Kröner, D. & Rohde, C.: Numerical Solution of Navier-Stokes-Korteweg Systems by Local Discontinuous Galerkin Methods in Multiple Space Dimensions, Appl. Math. Comput., 2016, 272, Part 2, 309-335. Zeige BibTex

Dragomirescu, I.; Eisenschmidt, K.; Rohde, C. & Weigand, B.: Perturbation solutions for the finite radially symmetric Stefan problem, Inter. J. Thermal Sci., 2016, 104, 386-395. Zeige BibTex

Dumbser, M.; Gassner, G.; Rohde, C. & Roller, S.: Preface to the special issue ``Recent Advances in Numerical Methods for Hyperbolic Partial Differential Equations'', Appl. Math. Comput., 2016, 272, 235-236. Zeige BibTex

Köppel, M. & Rohde, C.: Uncertainty Quantification for Two-Phase Flow in Heterogeneous Porous Media, PAMM Proc. Appl. Math. Mech., WILEY-VCH Verlag, 2016, 16, 749–750. Zeige BibTex

Kabil, B. & Rohde, C.: Persistence of undercompressive phase boundaries for isothermal Euler equations including configurational forces and surface tension, Math. Meth. Appl. Sci., 2016, 39, 5409-5426. Zeige BibTex

Magiera, J.; Rohde, C. & Rybak, I.: A hyperbolic-elliptic model problem for coupled surface-subsurface flow, Transp. Porous Media, 2016, 114, 425-455. Zeige BibTex

Redeker, M.; Pop, I. S. & Rohde, C.: Upscaling of a Tri-Phase Phase-Field Model for Precipitation in Porous Media, IMA J. Appl. Math., 2016, 81(5), 898-939. Zeige BibTex Zeige Abstract

Sharanya, V.; Raja Sekhar, G. P. & Rohde, C.: Bed of polydisperse viscous spherical drops under thermocapillary effects, Z. Angew. Math. Phys., 2016, 67, 101. Zeige BibTex Zeige Abstract

Kissling, F. & Rohde, C.: The Computation of Nonclassical Shock Waves in Porous Media with a Heterogeneous Multiscale Method: The Multidimensional Case, Multiscale Model. Simul., 2015, 13 no. 4, 1507-1541. Zeige BibTex

Kröker, I.; Nowak, W. & Rohde, C.: A stochastically and spatially adaptive parallel scheme for uncertain and nonlinear two-phase flow problems, Comput. Geosci., Springer International Publishing, 2015, 19, 269-284. Zeige BibTex

Neusser, J.; Rohde, C. & Schleper, V.: Relaxation of the Navier-Stokes-Korteweg Equations for Compressible Two-Phase Flow with Phase Transition, J. Numer. Methods Fluids, 2015, 79, 615-639. Zeige BibTex

Rohde, C. & Zeiler, C.: A relaxation Riemann solver for compressible two-phase flow with phase transition and surface tension, Appl. Numer. Math., 2015, 95, 267-279. Zeige BibTex Zeige Abstract

Rybak, I.; Magiera, J.; Helmig, R. & Rohde, C.: Multirate time integration for coupled saturated/unsaturated porous medium and free flow systems, Comput. Geosci., 2015, 19, 299-309. Zeige BibTex

Armiti-Juber, A. & Rohde, C.: Fuhrmann, Jürgen and Ohlberger, Mario and Rohde, Christian (Eds.), Almost Parallel Flows in Porous Media, Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems, Springer International Publishing, 2014, 78, 873-881. Zeige BibTex

Bürger, R.; Kröker, I. & Rohde, C.: A hybrid stochastic Galerkin method for uncertainty quantification applied to a conservation law modelling a clarifier-thickener unit, ZAMM Z. Angew. Math. Mech., 2014, 94, 793-817. Zeige BibTex

Chalons, C.; Engel, P. & Rohde, C.: A Conservative and Convergent Scheme for Undercompressive Shock Waves, SIAM J. Numer. Anal., 2014, 52, 554-579. Zeige BibTex

Corli, A.; Rohde, C. & Schleper, V.: Parabolic approximations of diffusive-dispersive equations., J. Math. Anal. Appl., 2014, 414, 773-798. Zeige BibTex

Ehlers, W.; Helmig, R. & Rohde, C.: Editorial: Deformation and transport phenomena in porous media, ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, WILEY-VCH Verlag, 2014, 94, 559-559. Zeige BibTex

Engel, P.; Viorel, A. & Rohde, C.: A Low-Order Approximation for Viscous-Capillary Phase Transition Dynamics, Port. Math., 2014, 70, 319-344. Zeige BibTex

Fechter, S.; Zeiler, C.; Munz, C.-D. & Rohde, C.: Simulation of compressible multi-phase flows at extreme ambient conditions using a Discontinuous-Galerkin Method, ILASS–Europe, 26th European Conference on Liquid Atomization and Spray Systems, 2014. Zeige BibTex

Köppel, M.; Kröker, I. & Rohde, C.: Fuhrmann, Jürgen and Ohlberger, Mario and Rohde, Christian (Eds.), Stochastic Modeling for Heterogeneous Two-Phase Flow, Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects, Springer International Publishing, 2014, 77, 353-361. Zeige BibTex

Kabil, B. & Rohde, C.: The influence of surface tension and configurational forces on the stability of liquid-vapor interfaces, Nonlinear Analysis: Theory, Methods & Applications, 2014, 107, 63 - 75. Zeige BibTex Zeige Abstract

Fuhrmann, Jürgen and Ohlberger, Mario and Rohde, Christian (Eds.), Finite Volumes for Complex Applications VII Elliptic, Parabolic and Hyperbolic Problems, FVCA 7, Berlin, June 2014, 2014, Vol. 77/78. Zeige BibTex

Eck, C.; Kutter, M.; Sändig, A.-M. & Rohde, C.: A two scale model for liquid phase epitaxy with elasticity: An iterative procedure, ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, WILEY-VCH Verlag, 2013, 93, 745-761. Zeige BibTex

Eisenschmidt, K.; Rauschenberger, P.; Rohde, C. & Weigand, B.: Modelling of freezing processes in super-cooled droplets on sub-grid scale, ILASS–Europe, 25th European Conference on Liquid Atomization and Spray Systems, 2013. Zeige BibTex

Rohde, C.; Wang, W. & Xie, F.: Decay Rates to Viscous Contact Waves for a 1D Compressible Radiation Hydrodynamics Model, Mathematical Models and Methods in Applied Sciences, 2013, 23, 441-469. Zeige BibTex

Rohde, C.; Wang, W. & Xie, F.: Hyperbolic-hyperbolic relaxation limit for a 1D compressible radiation hydrodynamics model: superposition of rarefaction and contact waves, Communications on Pure and Applied Analysis, 2013, 12, 2145-2171. Zeige BibTex

Chalons, C.; Coquel, F.; Engel, P. & Rohde, C.: Fast Relaxation Solvers for Hyperbolic-Elliptic Phase Transition Problems, SIAM Journal on Scientific Computing, 2012, 34, A1753-A1776. Zeige BibTex

Corli, A. & Rohde, C.: Singular limits for a parabolic-elliptic regularization of scalar conservation laws, J. Differential Equations, 2012, 253, 1399-1421. Zeige BibTex

Dreyer, W.; Giesselmann, J.; Kraus, C. & Rohde, C.: Asymptotic Analysis for Korteweg Models, Interfaces Free Bound., 2012, 14, 105 - 143. Zeige BibTex

Engel, P. & Rohde, C.: T. Li and S. Jiang (Eds.), On the Space-Time Expansion Discontinuous Galerkin Method, Hyperbolic Problems: Theory, Numerics and Applications, 2012, 406-414. Zeige BibTex

Jaegle, F.; Rohde, C. & Zeiler, C.: A multiscale method for compressible liquid-vapor flow with surface tension, ESAIM: Proc., 2012, 38, 387-408. Zeige BibTex Zeige Abstract

Kissling, F.; Helmig, R. & Rohde, C.: Simulation of Infiltration Processes in the Unsaturated Zone Using a Multi-Scale Approach, Vadose Zone J., 2012, 11, -. Zeige BibTex

Kissling, F. & Rohde, C.: T. Li and S. Jiang (Eds.), Numerical Simulation of Nonclassical Shock Waves in Porous Media with a Heterogeneous Multiscale Method, Hyperbolic Problems: Theory, Numerics and Applications, 2012, 469-478. Zeige BibTex

Kröker, I. & Rohde, C.: Finite volume schemes for hyperbolic balance laws with multiplicative noise, Appl. Numer. Math., 2012, 62, 441-456. Zeige BibTex

Richter, T.; Rudlof, S.; Adjibadji, B.; Bernlöhr, H.; Grüninger, C.; Munz, C.-D.; Stock, A.; Rohde, C. & Helmig, R.: ViPLab: a virtual programming laboratory for mathematics and engineering, Interactive Technology and Smart Education, 2012, 9, 246 - 262. Zeige BibTex

Rohde, C. & Xie, F.: Global existence and blowup phenomenon for a 1D radiation hydrodynamics model problem, Math. Methods Appl. Sci., 2012, 35, 564-573. Zeige BibTex

F. Coquel and M. Gutnic and P. Helluy and F. Lagoutière and C. Rohde and N. Seguin (Eds.), CEMRACS 2011, Multiscale Coupling of Complex Models, ESAIM Proceedings, 2012, 38. Zeige BibTex

Bürger, R.; Kröker, I. & Rohde, C.: Uncertainty quantification for a clarifier-thickener model with random feed, Finite volumes for complex applications. VI. Problems & perspectives. Volume 1, 2, Springer, 2011, 4, 195-203. Zeige BibTex

Richter, T.; Rudlof, S.; Adjibadji, B.; Berlohr, H.; Gruninger, C.; Munz, C.-D.; Rohde, C. & Helmig, R.: ViPLab - A Virtual Programming Laboratory for Mathematics and Engineering, Proceedings of the 2011 IEEE International Symposium on Multimedia, IEEE Computer Society, 2011, 537-542. Zeige BibTex

Kissling, F. & Rohde, C.: The Computation of Nonclassical Shock Waves with a Heterogeneous Multiscale Method, Netw. Heterog. Media, 2010, 5, 661-674. Zeige BibTex

Rohde, C.: A local and low-order Navier-Stokes-Korteweg system, Nonlinear partial differential equations and hyperbolic wave phenomena, Amer. Math. Soc., 2010, 526, 315-337. Zeige BibTex

Kissling, F.; LeFloch, P. G. & Rohde, C.: A Kinetic Decomposition for Singular Limits of non-local Conservation Laws, J. Differential Equations, 2009, 247, 3338-3356. Zeige BibTex

Dressel, A. & Rohde, C.: A finite-volume approach to liquid-vapour fluids with phase transition, Finite volumes for complex applications V, ISTE, London, 2008, 53-68. Zeige BibTex

Dressel, A. & Rohde, C.: Global existence and uniqueness of solutions for a viscoelastic two-phase model, Indiana Univ. Math. J., 2008, 57, 717-755. Zeige BibTex

Rohde, C.; Tiemann, N. & Yong, W.-A.: Weak and classical solutions for a model problem in radiation hydrodynamics, Hyperbolic problems: theory, numerics, applications, Springer, 2008, 891-899. Zeige BibTex

Rohde, C. & Yong, W.-A.: Dissipative entropy and global smooth solutions in radiation hydrodynamics and magnetohydrodynamics, Math. Models Methods Appl. Sci., 2008, 18, 2151-2174. Zeige BibTex

Merkle, C. & Rohde, C.: The sharp-interface approach for fluids with phase change: Riemann problems and ghost fluid techniques, M2AN Math. Model. Numer. Anal., 2007, 41, 1089-1123. Zeige BibTex

Rohde, C. & Yong, W.-A.: The nonrelativistic limit in radiation hydrodynamics. I. Weak entropy solutions for a model problem, J. Differential Equations, 2007, 234, 91-109. Zeige BibTex

Diehl, D. & Rohde, C.: On the structure of MHD shock waves in diffusive-dispersive media, J. Math. Fluid Mech., 2006, 8, 120-145. Zeige BibTex

Haink, J. & Rohde, C.: Phase transition in compressible media and nonlocal capillarity terms, Hyperbolic problems: theory, numerics and applications. I, Yokohama Publ., Yokohama, 2006, 147-154. Zeige BibTex

Jovanović, V. & Rohde, C.: Error estimates for finite volume approximations of classical solutions for nonlinear systems of hyperbolic balance laws, SIAM J. Numer. Anal., 2006, 43, 2423-2449 (electronic). Zeige BibTex

Merkle, C. & Rohde, C.: Computation of dynamical phase transitions in solids, Appl. Numer. Math., 2006, 56, 1450-1463. Zeige BibTex

Coquel, F.; Diehl, D.; Merkle, C. & Rohde, C.: Sharp and diffuse interface methods for phase transition problems in liquid-vapour flows, Numerical methods for hyperbolic and kinetic problems, Eur. Math. Soc., Zürich, 2005, 7, 239-270. Zeige BibTex

Dedner, A.; Kröner, D.; Rohde, C. & Wesenberg, M.: Radiation magnetohydrodynamics: analysis for model problems and efficient 3d-simulations for the full system, Analysis and numerics for conservation laws, Springer, 2005, 163-202. Zeige BibTex

Gander, M. J. & Rohde, C.: Nonlinear advection problems and overlapping Schwarz waveform relaxation, Domain decomposition methods in science and engineering, Springer, 2005, 40, 251-258. Zeige BibTex

Gander, M. J. & Rohde, C.: Overlapping Schwarz waveform relaxation for convection-dominated nonlinear conservation laws, SIAM J. Sci. Comput., 2005, 27, 415-439. Zeige BibTex

Jovanović, V. & Rohde, C.: Finite-volume schemes for Friedrichs systems in multiple space dimensions: a priori and a posteriori error estimates, Numer. Methods Partial Differential Equations, 2005, 21, 104-131. Zeige BibTex

Rohde, C.: On local and non-local Navier-Stokes-Korteweg systems for liquid-vapour phase transitions, ZAMM Z. Angew. Math. Mech., 2005, 85, 839-857. Zeige BibTex

Rohde, C.: Scalar conservation laws with mixed local and nonlocal diffusion-dispersion terms, SIAM J. Math. Anal., 2005, 37, 103-129 (electronic). Zeige BibTex

Rohde, C.: Phase transitions and sharp-interface limits for the 1d-elasticity system with non-local energy, Interfaces Free Bound., 2005, 7, 107-129. Zeige BibTex

Dedner, A. & Rohde, C.: Numerical approximation of entropy solutions for hyperbolic integro-differential equations, Numer. Math., 2004, 97, 441-471. Zeige BibTex

Dedner, A.; Rohde, C.; Schupp, B. & Wesenberg, M.: A parallel, load-balanced MHD code on locally-adapted unstructured grids in 3d, Comput. Vis. Sci., 2004, 7, 79-96. Zeige BibTex

Rohde, C. & Thanh, M. D.: Global existence for phase transition problems via a variational scheme, J. Hyperbolic Differ. Equ., 2004, 1, 747-768. Zeige BibTex

Dedner, A.; Kröner, D.; Rohde, C.; Schnitzer, T. & Wesenberg, M.: Comparison of finite volume and discontinuous Galerkin methods of higher order for systems of conservation laws in multiple space dimensions, Geometric analysis and nonlinear partial differential equations, Springer, 2003, 573-589. Zeige BibTex

Dedner, A.; Rohde, C. & Wesenberg, M.: A new approach to divergence cleaning in magnetohydrodynamic simulations, Hyperbolic problems: theory, numerics, applications, Springer, 2003, 509-518. Zeige BibTex

Dedner, A.; Rohde, C. & Wesenberg, M.: Efficient higher-order finite volume schemes for (real gas) magnetohydrodynamics, Hyperbolic problems: theory, numerics, applications, Springer, 2003, 499-508. Zeige BibTex

Freistühler, H. & Rohde, C.: The bifurcation analysis of the MHD Rankine-Hugoniot equations for a perfect gas, Phys. D, 2003, 185, 78-96. Zeige BibTex

Kröner, D.; Küther, M.; Ohlberger, M. & Rohde, C.: A posteriori error estimates and adaptive methods for hyperbolic and convection dominated parabolic conservation laws, Trends in nonlinear analysis, Springer, 2003, 289-306. Zeige BibTex

Rohde, C. & Zajaczkowski, W.: On the Cauchy problem for the equations of ideal compressible MHD fluids with radiation, Appl. Math., 2003, 48, 257-277. Zeige BibTex

Dedner, A. & Rohde, C.: FV-schemes for a scalar model problem of radiation magnetohydrodynamics, Finite volumes for complex applications, III (Porquerolles, 2002), Hermes Sci. Publ., Paris, 2002, 165-172. Zeige BibTex

Freistühler, H. & Rohde, C.: Numerical computation of viscous profiles for hyperbolic conservation laws, Math. Comp., 2002, 71, 1021-1042 (electronic). Zeige BibTex

Lefloch, P. G.; Mercier, J. M. & Rohde, C.: Fully discrete, entropy conservative schemes of arbitrary order, SIAM J. Numer. Anal., 2002, 40, 1968-1992 (electronic). Zeige BibTex

Ohlberger, M. & Rohde, C.: Adaptive finite volume approximations for weakly coupled convection dominated parabolic systems, IMA J. Numer. Anal., 2002, 22, 253-280. Zeige BibTex

Dedner, A.; Kröner, D.; Rohde, C. & Wesenberg, M.: Godunov-type schemes for the MHD equations, Godunov methods (Oxford, 1999), Kluwer/Plenum, New York, 2001, 209-216. Zeige BibTex

Dedner, A.; Kröner, D.; Rohde, C. & Wesenberg, M.: MHD instabilities arising in solar physics: a numerical approach, Hyperbolic problems: theory, numerics, applications, Vol. I, II (Magdeburg, 2000), Birkhäuser, 2001, 141, 277-286. Zeige BibTex

Freistühler, H.; Fries, C. & Rohde, C.: Existence, bifurcation, and stability of profiles for classical and non-classical shock waves, Ergodic theory, analysis, and efficient simulation of dynamical systems, Springer, 2001, 287-309, 814. Zeige BibTex

Freistühler, H. & Rohde, C.: A numerical study on viscous profiles of MHD shock waves, Hyperbolic problems: theory, numerics, applications, Vol. I, II (Magdeburg, 2000), Birkhäuser, 2001, 141, 399-408. Zeige BibTex

Haasdonk, B.; Kröner, D. & Rohde, C.: Convergence of a staggered Lax-Friedrichs scheme for nonlinear conservation laws on unstructured two-dimensional grids, Numer. Math., 2001, 88, 459-484. Zeige BibTex

Hillen, T.; Rohde, C. & Lutscher, F.: Existence of weak solutions for a hyperbolic model of chemosensitive movement, J. Math. Anal. Appl., 2001, 260, 173-199. Zeige BibTex

LeFloch, P. G. & Rohde, C.: Zero diffusion-dispersion limits for self-similar Riemann solutions to hyperbolic systems of conservation laws, Indiana Univ. Math. J., 2001, 50, 1707-1743. Zeige BibTex

Lefloch, P. G. & Rohde, C.: High-order schemes, entropy inequalities, and nonclassical shocks, SIAM J. Numer. Anal., 2000, 37, 2023-2060 (electronic). Zeige BibTex

Dedner, A.; Rohde, C. & Wesenberg, M.: A MHD-simulation in solar physics, Finite volumes for complex applications II, Hermes Sci. Publ., Paris, 1999, 491-498. Zeige BibTex

Freistühler, H. & Rohde, C.: Numerical methods for viscous profiles of non-classical shock waves, Hyperbolic problems: theory, numerics, applications, Vol. I (Zürich, 1998), Birkhäuser, 1999, 129, 333-342. Zeige BibTex

Rohde, C.: Upwind finite volume schemes for weakly coupled hyperbolic systems of conservation laws in 2D, Numer. Math., 1998, 81, 85-123. Zeige BibTex

Rohde, C.: Entropy solutions for weakly coupled hyperbolic systems in several space dimensions, Z. Angew. Math. Phys., 1998, 49, 470-499. Zeige BibTex