Klingenberg, Christian

Compute Distance To:
 Author ID: klingenberg.christian Published as: Klingenberg, Christian; Klingenberg, C.
 Documents Indexed: 102 Publications since 1985 4 Contributions as Editor Co-Authors: 55 Co-Authors with 63 Joint Publications 1,241 Co-Co-Authors
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Co-Authors

 4 single-authored 20 Lu, Yunguang 9 Chandrashekar, Praveen 8 Markfelder, Simon 8 Pirner, Marlies 6 Berberich, Jonas P. 6 Puppo, Gabriella 6 Risebro, Nils Henrik 6 Waagan, Knut 5 Barsukow, Wasilij 5 Zenk, Markus 4 Xia, Yinhua 3 Badwaik, Jayesh 3 Berthon, Christophe 3 Bouchut, François 3 Feireisl, Eduard 3 Karlsen, Kenneth Hvistendahl 3 Kreml, Ondřej 3 Rendón, Leonardo A. 3 Röpke, Friedrich K. 3 Schnücke, Gero 3 Thomann, Andrea 3 Touma, Rony 2 Chen, Gui-Qiang G. 2 Desveaux, Vivien 2 Dumbser, Michael 2 Edelmann, Philipp V. F. 2 Even, Nadine 2 Gallego-Valencia, Juan Pablo 2 Kanbar, Farah 2 Koley, Ujjwal 2 Li, Qin 2 Lu, Xuezhou 2 Mácha, Václav 2 Plohr, Bradley J. 2 Westdickenberg, Michael 2 Xue, Changfeng 1 Al Baba, Hind 1 Annunziato, Mario 1 Bae, Gi-Chan 1 Bedjaoui, Nabil 1 Boileau, Matthieu 1 Borzì, Alfio 1 Boscheri, Walter 1 Bürger, Raimund 1 Castro, Manuel J. 1 Chiocchetti, Simone 1 Colombo, Rinaldo M. 1 Coulette, David 1 Crestetto, Anaïs 1 Després, Bruno 1 Emako, Casimir 1 Federrath, Christoph 1 Franck, Emmanuel 1 Gaburro, Elena 1 Glimm, James G. 1 Großkinsky, Stefan 1 Guermond, Jean-Luc 1 Haack, Jeffrey R. 1 Hauck, Cory D. 1 Helluy, Philippe 1 Hohm, Jonathan 1 Hu, Yanbo 1 Jabin, Pierre-Emmanuel 1 Juajibioy, Juan Carlos 1 Käppeli, Roger 1 Klotzky, Jens 1 Kurganov, Alexander 1 Lai, Ru-Yu 1 LeFloch, Philippe Gerard 1 Liu, Yongle 1 Mao, Dekang 1 McBryan, Oliver A. 1 Meltzer, Marie-Christine 1 Mendoza, Laura S. 1 Miczek, Fabian 1 Mitesser, Oliver 1 Oberlin, Herbert 1 Oelschläger, Karl 1 Osher, Stanley Joel 1 Peng, Yuejun 1 Popov, Boyan 1 Pörner, Frank 1 Roe, Philip L. 1 Roy, Souvik 1 Ruf, Adrian M. 1 Sastoque, Eric Hernandez 1 Schmidt, Wolfram 1 Schütz, Gunter M. 1 Seguin, Nicolas 1 Semplice, Matteo 1 Sharp, David H. 1 Springel, Volker 1 Tomas, Ignacio 1 Tóth, Bálint 1 Warnecke, Sascha 1 Xie, Feng 1 Yaniv, Sara 1 Yun, Seok-Bae 1 Zhang, Jinjun 1 Zhao, Huijiang ...and 1 more Co-Authors
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Serials

 4 Journal of Computational Physics 4 Journal of Differential Equations 4 SIAM Journal on Scientific Computing 4 Communications in Computational Physics 3 Mathematics of Computation 3 Journal of Scientific Computing 3 Acta Mathematica Scientia. Series B. (English Edition) 3 Kinetic and Related Models 2 Journal of Mathematical Analysis and Applications 2 Numerische Mathematik 2 Proceedings of the American Mathematical Society 2 Applied Numerical Mathematics 2 Applied Mathematics Letters 2 SIAM Journal on Mathematical Analysis 2 Nonlinear Analysis. Real World Applications 2 Journal of Hyperbolic Differential Equations 2 Oberwolfach Reports 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Springer Proceedings in Mathematics & Statistics 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 Computers and Fluids 1 Communications in Mathematical Physics 1 Journal of Statistical Physics 1 Nonlinearity 1 Mathematische Annalen 1 SIAM Journal on Numerical Analysis 1 Advances in Applied Mathematics 1 Stochastic Analysis and Applications 1 Mathematical and Computer Modelling 1 Differential and Integral Equations 1 Communications in Partial Differential Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Journal of Partial Differential Equations 1 Computational Optimization and Applications 1 Calculus of Variations and Partial Differential Equations 1 Electronic Journal of Differential Equations (EJDE) 1 Matemática Contemporânea 1 Abstract and Applied Analysis 1 Portugaliae Mathematica. Nova Série 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Multiscale Modeling & Simulation 1 Communications in Mathematical Sciences 1 Analysis and Applications (Singapore) 1 Communications in Mathematical Research 1 Science China. Mathematics 1 SMAI Journal of Computational Mathematics 1 Communications on Applied Mathematics and Computation
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Fields

 84 Partial differential equations (35-XX) 57 Fluid mechanics (76-XX) 46 Numerical analysis (65-XX) 15 Statistical mechanics, structure of matter (82-XX) 5 General and overarching topics; collections (00-XX) 4 Probability theory and stochastic processes (60-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Astronomy and astrophysics (85-XX) 2 Optics, electromagnetic theory (78-XX) 2 Quantum theory (81-XX) 2 Geophysics (86-XX) 2 Operations research, mathematical programming (90-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Biology and other natural sciences (92-XX)

Citations contained in zbMATH Open

63 Publications have been cited 603 times in 279 Documents Cited by Year
Convex conservation laws with discontinuous coefficients. Existence, uniqueness and asymptotic behavior. Zbl 0836.35090
Klingenberg, Christian; Risebro, Nils Henrik
1995
A second order well-balanced finite volume scheme for Euler equations with gravity. Zbl 1320.76078
Chandrashekar, Praveen; Klingenberg, Christian
2015
Stability of a resonant system of conservation laws modeling polymer flow with gravitation. Zbl 0977.35083
Klingenberg, Christian; Risebro, Nils Henrik
2001
Well-balanced schemes to capture non-explicit steady states: Ripa model. Zbl 1382.65310
Desveaux, Vivien; Zenk, Markus; Berthon, Christophe; Klingenberg, Christian
2016
A multiwave approximate Riemann solver for ideal MHD based on relaxation. I: Theoretical framework. Zbl 1126.76034
Bouchut, François; Klingenberg, Christian; Waagan, Knut
2007
A front tracking approach to a model of continuous sedimentation in ideal clarifier-thickener units. Zbl 1013.35052
Bürger, R.; Karlsen, K. H.; Klingenberg, C.; Risebro, N. H.
2003
A multiwave approximate Riemann solver for ideal MHD based on relaxation. II: Numerical implementation with 3 and 5 waves. Zbl 1426.76338
Bouchut, François; Klingenberg, Christian; Waagan, Knut
2010
Front tracking and two-dimensional Riemann problems. Zbl 0631.76068
Glimm, James; Klingenberg, Christian; McBryan, Oliver; Plohr, Bradley; Sharp, David; Yaniv, Sara
1985
Entropy stable finite volume scheme for ideal compressible MHD on 2-D Cartesian meshes. Zbl 1381.76213
Chandrashekar, Praveen; Klingenberg, Christian
2016
The Riemann problem for the multidimensional isentropic system of gas dynamics is ill-posed if it contains a shock. Zbl 1390.35249
Markfelder, Simon; Klingenberg, Christian
2018
Well-balanced central finite volume methods for the Ripa system. Zbl 1329.76217
Touma, R.; Klingenberg, C.
2015
Hyperbolic conservation laws with discontinuous fluxes and hydrodynamic limit for particle systems. Zbl 1195.35211
Chen, Gui-Qiang; Even, Nadine; Klingenberg, Christian
2008
A numerical scheme for the compressible low-Mach number regime of ideal fluid dynamics. Zbl 1459.65166
Barsukow, Wasilij; Edelmann, Philipp V. F.; Klingenberg, Christian; Miczek, Fabian; Röpke, Friedrich K.
2017
A well-balanced scheme for the Euler equation with a gravitational potential. Zbl 1304.76027
Desveaux, Vivien; Zenk, Markus; Berthon, Christophe; Klingenberg, Christian
2014
Arbitrary order finite volume well-balanced schemes for the Euler equations with gravity. Zbl 1412.65125
Klingenberg, C.; Puppo, G.; Semplice, M.
2019
Existence of solutions to hyperbolic conservation laws with a source. Zbl 0883.35074
Klingenberg, Christian; Lu, Yun-guang
1997
Arbitrary Lagrangian-Eulerian discontinuous Galerkin method for conservation laws: analysis and application in one dimension. Zbl 1359.65204
Klingenberg, Christian; Schnücke, Gero; Xia, Yinhua
2017
A robust numerical scheme for highly compressible magnetohydrodynamics: nonlinear stability, implementation and tests. Zbl 1316.76082
Waagan, K.; Federrath, C.; Klingenberg, C.
2011
A consistent kinetic model for a two-component mixture with an application to plasma. Zbl 1352.82009
Klingenberg, Christian; Pirner, Marlies; Puppo, Gabriella
2017
On oscillatory solutions to the complete Euler system. Zbl 1437.35557
Feireisl, Eduard; Klingenberg, Christian; Kreml, Ondřej; Markfelder, Simon
2020
Well-balanced unstaggered central schemes for the Euler equations with gravitation. Zbl 1346.76100
Touma, R.; Koley, U.; Klingenberg, C.
2016
A relaxation scheme for conservation laws with a discontinuous coefficient. Zbl 1078.65076
Karlsen, K. H.; Klingenberg, C.; Risebro, N. H.
2004
An arbitrary Lagrangian-Eulerian local discontinuous Galerkin method for Hamilton-Jacobi equations. Zbl 1383.65124
Klingenberg, Christian; Schnücke, Gero; Xia, Yinhua
2017
A Fokker-Planck approach to control collective motion. Zbl 1390.35362
Roy, Souvik; Annunziato, Mario; Borzì, Alfio; Klingenberg, Christian
2018
On the low Mach number limit for the compressible Euler system. Zbl 1420.35209
Feireisl, Eduard; Klingenberg, Christian; Markfelder, Simon
2019
Nonuniqueness of admissible weak solution to the Riemann problem for the full Euler system in two dimensions. Zbl 1437.35474
Al Baba, Hind; Klingenberg, Christian; Kreml, Ondřej; Mácha, Václav; Markfelder, Simon
2020
A rigorous derivation of Smoluchowski’s equation in the moderate limit. Zbl 1053.60101
Großkinsky, S.; Klingenberg, C.; Oelschläger, K.
2004
A consistent kinetic model for a two-component mixture of polyatomic molecules. Zbl 1420.35174
Klingenberg, Christian; Pirner, Marlies; Puppo, Gabriella
2019
Existence, uniqueness and positivity of solutions for BGK models for mixtures. Zbl 1391.35308
Klingenberg, C.; Pirner, M.
2018
Cauchy problem for hyperbolic conservation laws with a relaxation term. Zbl 0871.35059
Klingenberg, Christian; Lu, Yun-guang
1996
Numerical comparison of Riemann solvers for astrophysical hydrodynamics. Zbl 1128.85006
Klingenberg, Christian; Schmidt, Wolfram; Waagan, Knut
2007
The active flux scheme on Cartesian grids and its low Mach number limit. Zbl 1442.65190
Barsukow, Wasilij; Hohm, Jonathan; Klingenberg, Christian; Roe, Philip L.
2019
A general well-balanced finite volume scheme for Euler equations with gravity. Zbl 1405.76028
Berberich, Jonas P.; Chandrashekar, Praveen; Klingenberg, Christian
2018
The Cauchy problem for hyperbolic conservation laws with three equations. Zbl 0862.35069
Lu, Yunguang; Klingenberg, Christian
1996
Relaxation solvers for ideal MHD equations-a review. Zbl 1240.35355
Klingenberg, Christian; Waagan, Knut
2010
Kinetic ES-BGK models for a multi-component gas mixture. Zbl 1412.65172
Klingenberg, Christian; Pirner, Marlies; Puppo, Gabriella
2018
A limit problem for three-dimensional ideal compressible radiation magneto-hydrodynamics. Zbl 1386.35361
Xie, Feng; Klingenberg, Christian
2018
Non-uniqueness of energy-conservative solutions to the isentropic compressible two-dimensional Euler equations. Zbl 1448.76127
Klingenberg, Christian; Markfelder, Simon
2018
Decay rates for degenerate convection diffusion equations in both one and several space dimensions. Zbl 1340.35140
Lu, Yunguang; Klingenberg, Christian; Koley, Ujjwal; Lu, Xuezhou
2015
On the density of “wild” initial data for the compressible Euler system. Zbl 1448.76126
Feireisl, Eduard; Klingenberg, Christian; Markfelder, Simon
2020
Shocks make the Riemann problem for the full Euler system in multiple space dimensions ill-posed. Zbl 1453.35143
Klingenberg, Christian; Kreml, Ondřej; Mácha, Václav; Markfelder, Simon
2020
A low-Mach Roe-type solver for the Euler equations allowing for gravity source terms. Zbl 1445.35278
Barsukow, Wasilij; Edelmann, Philipp V. F.; Klingenberg, Christian; Röpke, Friedrich K.
2017
An all speed second order IMEX relaxation scheme for the Euler equations. Zbl 1480.76083
Thomann, Andrea; Zenk, Markus; Puppo, Gabriella; Klingenberg, Christian
2020
High order well-balanced finite volume methods for multi-dimensional systems of hyperbolic balance laws. Zbl 07426188
Berberich, Jonas P.; Chandrashekar, Praveen; Klingenberg, Christian
2021
The relaxation limit for systems of Broadwell type. Zbl 1028.35107
Lu, Yun-Guang; Klingenberg, Christian
2001
A multispecies traffic model based on the Lighthill-Whitham and Richards model. Zbl 1409.35138
Colombo, Rinaldo M.; Klingenberg, Christian; Meltzer, Marie-Christine
2018
Second order finite volume scheme for Euler equations with gravity which is well-balanced for general equations of state and grid systems. Zbl 07418030
Berberich, Jonas P.; Chandrashekar, Praveen; Klingenberg, Christian; Röpke, Friedrich K.
2019
An all Mach number relaxation upwind scheme. Zbl 1447.65043
Berthon, Christophe; Klingenberg, Christian; Zenk, Markus
2020
Reconstruction of the emission coefficient in the nonlinear radiative transfer equation. Zbl 1458.35479
Klingenberg, Christian; Lai, Ru-Yu; Li, Qin
2021
On limiting for higher order discontinuous Galerkin method for 2D Euler equations. Zbl 1341.35104
Gallego-Valencia, Juan Pablo; Klingenberg, Christian; Chandrashekar, Praveen
2016
On the validity of Chapman-Enskog expansions for shock waves with small strength. Zbl 1071.35080
Bedjaoui, Nabil; Klingenberg, Christian; LeFloch, Philippe G.
2004
The vacuum case in DiPerna’s paper. Zbl 0920.76076
Klingenberg, Christian; Lu, Yun-Guang
1998
The relaxation limit for systems of broadwell type. Zbl 0926.35079
Klingenberg, Christian; Lu, Yun-Guang
1999
Existence to solutions of a kinetic aerosol model. Zbl 1083.35057
Jabin, Pierre-Emmanuel; Klingenberg, Christian
2005
Viscosity and relaxation approximations for a hyperbolic-elliptic mixed type system. Zbl 1037.35045
Lu, Yunguang; Klingenberg, Christian
2004
On well-posedness for a multi-particle fluid model. Zbl 1410.35126
Klingenberg, Christian; Klotzky, Jens; Seguin, Nicolas
2018
Kinetic/fluid micro-macro numerical scheme for a two component gas mixture. Zbl 1446.65137
Crestetto, Anaïs; Klingenberg, Christian; Pirner, Marlies
2020
Task-based parallelization of an implicit kinetic scheme. Zbl 1408.35143
Badwaik, Jayesh; Boileau, Matthieu; Coulette, David; Franck, Emmanuel; Helluy, Philippe; Klingenberg, Christian; Mendoza, Laura; Oberlin, Herbert
2018
Well-balanced central schemes for the one and two-dimensional Euler systems with gravity. Zbl 1442.65199
Kanbar, F.; Touma, R.; Klingenberg, C.
2020
Moving-water equilibria preserving HLL-type schemes for the shallow water equations. Zbl 1463.76035
Klingenberg, Christian; Kurganov, Alexander; Liu, Yongle; Zenk, Markus
2020
An efficient implementation of the divergence free constraint in a discontinuous Galerkin method for magnetohydrodynamics on unstructured meshes. Zbl 07413979
Klingenberg, Christian; Pörner, Frank; Xia, Yinhua
2017
A criterion for asymptotic preserving schemes of kinetic equations to be uniformly stationary preserving. Zbl 1476.65205
Emako, Casimir; Kanbar, Farah; Klingenberg, Christian; Tang, Min
2021
Exact solution and the multidimensional Godunov scheme for the acoustic equations. Zbl 07488296
Barsukow, Wasilij; Klingenberg, Christian
2022
Exact solution and the multidimensional Godunov scheme for the acoustic equations. Zbl 07488296
Barsukow, Wasilij; Klingenberg, Christian
2022
High order well-balanced finite volume methods for multi-dimensional systems of hyperbolic balance laws. Zbl 07426188
Berberich, Jonas P.; Chandrashekar, Praveen; Klingenberg, Christian
2021
Reconstruction of the emission coefficient in the nonlinear radiative transfer equation. Zbl 1458.35479
Klingenberg, Christian; Lai, Ru-Yu; Li, Qin
2021
A criterion for asymptotic preserving schemes of kinetic equations to be uniformly stationary preserving. Zbl 1476.65205
Emako, Casimir; Kanbar, Farah; Klingenberg, Christian; Tang, Min
2021
On oscillatory solutions to the complete Euler system. Zbl 1437.35557
Feireisl, Eduard; Klingenberg, Christian; Kreml, Ondřej; Markfelder, Simon
2020
Nonuniqueness of admissible weak solution to the Riemann problem for the full Euler system in two dimensions. Zbl 1437.35474
Al Baba, Hind; Klingenberg, Christian; Kreml, Ondřej; Mácha, Václav; Markfelder, Simon
2020
On the density of “wild” initial data for the compressible Euler system. Zbl 1448.76126
Feireisl, Eduard; Klingenberg, Christian; Markfelder, Simon
2020
Shocks make the Riemann problem for the full Euler system in multiple space dimensions ill-posed. Zbl 1453.35143
Klingenberg, Christian; Kreml, Ondřej; Mácha, Václav; Markfelder, Simon
2020
An all speed second order IMEX relaxation scheme for the Euler equations. Zbl 1480.76083
Thomann, Andrea; Zenk, Markus; Puppo, Gabriella; Klingenberg, Christian
2020
An all Mach number relaxation upwind scheme. Zbl 1447.65043
Berthon, Christophe; Klingenberg, Christian; Zenk, Markus
2020
Kinetic/fluid micro-macro numerical scheme for a two component gas mixture. Zbl 1446.65137
Crestetto, Anaïs; Klingenberg, Christian; Pirner, Marlies
2020
Well-balanced central schemes for the one and two-dimensional Euler systems with gravity. Zbl 1442.65199
Kanbar, F.; Touma, R.; Klingenberg, C.
2020
Moving-water equilibria preserving HLL-type schemes for the shallow water equations. Zbl 1463.76035
Klingenberg, Christian; Kurganov, Alexander; Liu, Yongle; Zenk, Markus
2020
Arbitrary order finite volume well-balanced schemes for the Euler equations with gravity. Zbl 1412.65125
Klingenberg, C.; Puppo, G.; Semplice, M.
2019
On the low Mach number limit for the compressible Euler system. Zbl 1420.35209
Feireisl, Eduard; Klingenberg, Christian; Markfelder, Simon
2019
A consistent kinetic model for a two-component mixture of polyatomic molecules. Zbl 1420.35174
Klingenberg, Christian; Pirner, Marlies; Puppo, Gabriella
2019
The active flux scheme on Cartesian grids and its low Mach number limit. Zbl 1442.65190
Barsukow, Wasilij; Hohm, Jonathan; Klingenberg, Christian; Roe, Philip L.
2019
Second order finite volume scheme for Euler equations with gravity which is well-balanced for general equations of state and grid systems. Zbl 07418030
Berberich, Jonas P.; Chandrashekar, Praveen; Klingenberg, Christian; Röpke, Friedrich K.
2019
The Riemann problem for the multidimensional isentropic system of gas dynamics is ill-posed if it contains a shock. Zbl 1390.35249
Markfelder, Simon; Klingenberg, Christian
2018
A Fokker-Planck approach to control collective motion. Zbl 1390.35362
Roy, Souvik; Annunziato, Mario; Borzì, Alfio; Klingenberg, Christian
2018
Existence, uniqueness and positivity of solutions for BGK models for mixtures. Zbl 1391.35308
Klingenberg, C.; Pirner, M.
2018
A general well-balanced finite volume scheme for Euler equations with gravity. Zbl 1405.76028
Berberich, Jonas P.; Chandrashekar, Praveen; Klingenberg, Christian
2018
Kinetic ES-BGK models for a multi-component gas mixture. Zbl 1412.65172
Klingenberg, Christian; Pirner, Marlies; Puppo, Gabriella
2018
A limit problem for three-dimensional ideal compressible radiation magneto-hydrodynamics. Zbl 1386.35361
Xie, Feng; Klingenberg, Christian
2018
Non-uniqueness of energy-conservative solutions to the isentropic compressible two-dimensional Euler equations. Zbl 1448.76127
Klingenberg, Christian; Markfelder, Simon
2018
A multispecies traffic model based on the Lighthill-Whitham and Richards model. Zbl 1409.35138
Colombo, Rinaldo M.; Klingenberg, Christian; Meltzer, Marie-Christine
2018
On well-posedness for a multi-particle fluid model. Zbl 1410.35126
Klingenberg, Christian; Klotzky, Jens; Seguin, Nicolas
2018
Task-based parallelization of an implicit kinetic scheme. Zbl 1408.35143
Badwaik, Jayesh; Boileau, Matthieu; Coulette, David; Franck, Emmanuel; Helluy, Philippe; Klingenberg, Christian; Mendoza, Laura; Oberlin, Herbert
2018
A numerical scheme for the compressible low-Mach number regime of ideal fluid dynamics. Zbl 1459.65166
Barsukow, Wasilij; Edelmann, Philipp V. F.; Klingenberg, Christian; Miczek, Fabian; Röpke, Friedrich K.
2017
Arbitrary Lagrangian-Eulerian discontinuous Galerkin method for conservation laws: analysis and application in one dimension. Zbl 1359.65204
Klingenberg, Christian; Schnücke, Gero; Xia, Yinhua
2017
A consistent kinetic model for a two-component mixture with an application to plasma. Zbl 1352.82009
Klingenberg, Christian; Pirner, Marlies; Puppo, Gabriella
2017
An arbitrary Lagrangian-Eulerian local discontinuous Galerkin method for Hamilton-Jacobi equations. Zbl 1383.65124
Klingenberg, Christian; Schnücke, Gero; Xia, Yinhua
2017
A low-Mach Roe-type solver for the Euler equations allowing for gravity source terms. Zbl 1445.35278
Barsukow, Wasilij; Edelmann, Philipp V. F.; Klingenberg, Christian; Röpke, Friedrich K.
2017
An efficient implementation of the divergence free constraint in a discontinuous Galerkin method for magnetohydrodynamics on unstructured meshes. Zbl 07413979
Klingenberg, Christian; Pörner, Frank; Xia, Yinhua
2017
Well-balanced schemes to capture non-explicit steady states: Ripa model. Zbl 1382.65310
Desveaux, Vivien; Zenk, Markus; Berthon, Christophe; Klingenberg, Christian
2016
Entropy stable finite volume scheme for ideal compressible MHD on 2-D Cartesian meshes. Zbl 1381.76213
Chandrashekar, Praveen; Klingenberg, Christian
2016
Well-balanced unstaggered central schemes for the Euler equations with gravitation. Zbl 1346.76100
Touma, R.; Koley, U.; Klingenberg, C.
2016
On limiting for higher order discontinuous Galerkin method for 2D Euler equations. Zbl 1341.35104
Gallego-Valencia, Juan Pablo; Klingenberg, Christian; Chandrashekar, Praveen
2016
A second order well-balanced finite volume scheme for Euler equations with gravity. Zbl 1320.76078
Chandrashekar, Praveen; Klingenberg, Christian
2015
Well-balanced central finite volume methods for the Ripa system. Zbl 1329.76217
Touma, R.; Klingenberg, C.
2015
Decay rates for degenerate convection diffusion equations in both one and several space dimensions. Zbl 1340.35140
Lu, Yunguang; Klingenberg, Christian; Koley, Ujjwal; Lu, Xuezhou
2015
A well-balanced scheme for the Euler equation with a gravitational potential. Zbl 1304.76027
Desveaux, Vivien; Zenk, Markus; Berthon, Christophe; Klingenberg, Christian
2014
A robust numerical scheme for highly compressible magnetohydrodynamics: nonlinear stability, implementation and tests. Zbl 1316.76082
Waagan, K.; Federrath, C.; Klingenberg, C.
2011
A multiwave approximate Riemann solver for ideal MHD based on relaxation. II: Numerical implementation with 3 and 5 waves. Zbl 1426.76338
Bouchut, François; Klingenberg, Christian; Waagan, Knut
2010
Relaxation solvers for ideal MHD equations-a review. Zbl 1240.35355
Klingenberg, Christian; Waagan, Knut
2010
Hyperbolic conservation laws with discontinuous fluxes and hydrodynamic limit for particle systems. Zbl 1195.35211
Chen, Gui-Qiang; Even, Nadine; Klingenberg, Christian
2008
A multiwave approximate Riemann solver for ideal MHD based on relaxation. I: Theoretical framework. Zbl 1126.76034
Bouchut, François; Klingenberg, Christian; Waagan, Knut
2007
Numerical comparison of Riemann solvers for astrophysical hydrodynamics. Zbl 1128.85006
Klingenberg, Christian; Schmidt, Wolfram; Waagan, Knut
2007
Existence to solutions of a kinetic aerosol model. Zbl 1083.35057
Jabin, Pierre-Emmanuel; Klingenberg, Christian
2005
A relaxation scheme for conservation laws with a discontinuous coefficient. Zbl 1078.65076
Karlsen, K. H.; Klingenberg, C.; Risebro, N. H.
2004
A rigorous derivation of Smoluchowski’s equation in the moderate limit. Zbl 1053.60101
Großkinsky, S.; Klingenberg, C.; Oelschläger, K.
2004
On the validity of Chapman-Enskog expansions for shock waves with small strength. Zbl 1071.35080
Bedjaoui, Nabil; Klingenberg, Christian; LeFloch, Philippe G.
2004
Viscosity and relaxation approximations for a hyperbolic-elliptic mixed type system. Zbl 1037.35045
Lu, Yunguang; Klingenberg, Christian
2004
A front tracking approach to a model of continuous sedimentation in ideal clarifier-thickener units. Zbl 1013.35052
Bürger, R.; Karlsen, K. H.; Klingenberg, C.; Risebro, N. H.
2003
Stability of a resonant system of conservation laws modeling polymer flow with gravitation. Zbl 0977.35083
Klingenberg, Christian; Risebro, Nils Henrik
2001
The relaxation limit for systems of Broadwell type. Zbl 1028.35107
Lu, Yun-Guang; Klingenberg, Christian
2001
The relaxation limit for systems of broadwell type. Zbl 0926.35079
Klingenberg, Christian; Lu, Yun-Guang
1999
The vacuum case in DiPerna’s paper. Zbl 0920.76076
Klingenberg, Christian; Lu, Yun-Guang
1998
Existence of solutions to hyperbolic conservation laws with a source. Zbl 0883.35074
Klingenberg, Christian; Lu, Yun-guang
1997
Cauchy problem for hyperbolic conservation laws with a relaxation term. Zbl 0871.35059
Klingenberg, Christian; Lu, Yun-guang
1996
The Cauchy problem for hyperbolic conservation laws with three equations. Zbl 0862.35069
Lu, Yunguang; Klingenberg, Christian
1996
Convex conservation laws with discontinuous coefficients. Existence, uniqueness and asymptotic behavior. Zbl 0836.35090
Klingenberg, Christian; Risebro, Nils Henrik
1995
Front tracking and two-dimensional Riemann problems. Zbl 0631.76068
Glimm, James; Klingenberg, Christian; McBryan, Oliver; Plohr, Bradley; Sharp, David; Yaniv, Sara
1985
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Cited by 379 Authors

 23 Klingenberg, Christian 18 Karlsen, Kenneth Hvistendahl 17 Risebro, Nils Henrik 12 Bürger, Raimund 12 Lu, Yunguang 11 Chandrashekar, Praveen 10 Mishra, Siddhartha 8 Towers, John D. 7 Adimurthi, A. 7 Barsukow, Wasilij 7 Bouchut, François 7 Gowda, G. D. Veerappa 6 Diehl, Stefan 6 Gassner, Gregor J. 6 Winters, Andrew R. 5 Berberich, Jonas P. 5 Bermúdez, Alfredo 5 Berthon, Christophe 5 Castro, Manuel J. 5 Chalons, Christophe 5 Chen, Gui-Qiang G. 5 Dumbser, Michael 5 Mai Duc Thanh 5 Wang, Guodong 5 Wu, Kailiang 4 Capdeville, Guy 4 Derigs, Dominik 4 Feldman, Mikhail 4 Lhébrard, Xavier 4 Li, Gang 4 López, Xián 4 Puppo, Gabriella 4 Seguin, Nicolas 4 Shen, Wen 4 Shu, Chi-Wang 4 Vázquez-Cendón, María Elena 4 Waagan, Knut 4 Walch, Stefanie 3 Amadori, Debora 3 Gaburro, Elena 3 Ghoshal, Shyam Sundar 3 Gosse, Laurent 3 Guerra, Graziano 3 Gwiazda, Piotr 3 Käppeli, Roger 3 Kurganov, Alexander 3 LeFloch, Philippe Gerard 3 Menikoff, Ralph 3 Noelle, Sebastian 3 Parés Madroñal, Carlos 3 Plohr, Bradley J. 3 Qian, Shouguo 3 Raviart, Pierre-Arnaud 3 Shen, Chun 3 Sjogreen, Bjorn 3 Sun, Meina 3 Świerczewska-Gwiazda, Agnieszka 3 Thanh, Nguyen Xuan 3 Touma, Rony 3 Xing, Yulong 3 Yee, Helen C. 3 Zenk, Markus 2 Abbate, Emanuela 2 Badwaik, Jayesh 2 Boutin, Benjamin 2 Boyaval, Sébastien 2 Brull, Stephane 2 Bukiet, Bruce G. 2 Busto, Saray 2 Chertock, Alina E. 2 Coclite, Giuseppe Maria 2 Coquel, Frédéric 2 Cui, Shumo 2 Cuong, Dao Huy 2 Feireisl, Eduard 2 Foucher, Françoise 2 Franck, Emmanuel 2 Fuchs, Franz Georg 2 Goatin, Paola 2 Godlewski, Edwige 2 Grove, John W. 2 Hammond, Alan 2 Helzel, Christiane 2 Hu, Yanbo 2 Iollo, Angelo 2 Jin, Shi 2 Jung, Jonathan 2 Kanbar, Farah 2 Kerkmann, David 2 Kumar Kenettinkara, Sudarshan 2 Kumar, Rakesh 2 Li, Jiaojiao 2 Lu, Xuezhou 2 Lukáčová-Medvid’ová, Mária 2 Markfelder, Simon 2 Meena, Asha Kumari 2 Michel-Dansac, Victor 2 Rezakhanlou, Fraydoun 2 Roe, Philip L. 2 Röpke, Friedrich K. ...and 279 more Authors
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Cited in 83 Serials

 36 Journal of Computational Physics 19 Journal of Scientific Computing 16 Computers and Fluids 16 Journal of Differential Equations 11 SIAM Journal on Scientific Computing 9 Applied Mathematics and Computation 9 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 8 Mathematics of Computation 8 Numerische Mathematik 8 Journal of Hyperbolic Differential Equations 7 Journal of Engineering Mathematics 7 Communications in Computational Physics 6 Applied Numerical Mathematics 5 Computers & Mathematics with Applications 5 Applied Mathematics Letters 5 SIAM Journal on Mathematical Analysis 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Journal of Computational and Applied Mathematics 4 Nonlinear Analysis. Real World Applications 3 Archive for Rational Mechanics and Analysis 3 Journal of Mathematical Analysis and Applications 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 SIAM Journal on Numerical Analysis 3 Networks and Heterogeneous Media 3 SMAI Journal of Computational Mathematics 2 Proceedings of the American Mathematical Society 2 Advances in Applied Mathematics 2 Stochastic Processes and their Applications 2 Advances in Computational Mathematics 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Science China. Mathematics 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Computer Methods in Applied Mechanics and Engineering 1 Communications on Pure and Applied Mathematics 1 International Journal of Engineering Science 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Fluid Mechanics 1 Nonlinearity 1 Reviews of Modern Physics 1 Physics of Fluids, A 1 The Annals of Probability 1 International Journal for Numerical Methods in Engineering 1 Inventiones Mathematicae 1 Journal of Functional Analysis 1 Meccanica 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Quarterly of Applied Mathematics 1 Acta Applicandae Mathematicae 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Acta Mathematicae Applicatae Sinica. English Series 1 Mathematical and Computer Modelling 1 Science in China. Series A 1 The Annals of Applied Probability 1 Applied Mathematical Modelling 1 Communications in Partial Differential Equations 1 Journal of Elasticity 1 Proceedings of the National Academy of Sciences of the United States of America 1 SIAM Journal on Applied Mathematics 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Journal of Nonlinear Science 1 Computational Optimization and Applications 1 Topological Methods in Nonlinear Analysis 1 Computational and Applied Mathematics 1 Monte Carlo Methods and Applications 1 Computing and Visualization in Science 1 International Journal of Computational Fluid Dynamics 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Abstract and Applied Analysis 1 Taiwanese Journal of Mathematics 1 Journal of Applied Mechanics and Technical Physics 1 Journal of Shanghai University 1 Annals of Mathematics. Second Series 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Analysis and Applications (Singapore) 1 Acta Numerica 1 Confluentes Mathematici 1 Advances in Applied Mathematics and Mechanics 1 Bulletin of Mathematical Sciences 1 SIAM/ASA Journal on Uncertainty Quantification 1 Iranian Journal of Numerical Analysis and Optimization
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Cited in 21 Fields

 187 Partial differential equations (35-XX) 176 Fluid mechanics (76-XX) 141 Numerical analysis (65-XX) 10 Probability theory and stochastic processes (60-XX) 10 Mechanics of deformable solids (74-XX) 8 Statistical mechanics, structure of matter (82-XX) 8 Geophysics (86-XX) 6 Operations research, mathematical programming (90-XX) 5 Astronomy and astrophysics (85-XX) 4 Biology and other natural sciences (92-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Operator theory (47-XX) 2 Mechanics of particles and systems (70-XX) 2 Optics, electromagnetic theory (78-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Relativity and gravitational theory (83-XX)