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Christian Klingenberg
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- affiliation: Julius Maximilian University of Würzburg, Department of Mathematics, Germany
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2020 – today
- 2025
- [j32]Rémi Abgrall, Wasilij Barsukow, Christian Klingenberg:
A Semi-discrete Active Flux Method for the Euler Equations on Cartesian Grids. J. Sci. Comput. 102(2): 36 (2025) - 2024
- [j31]Claudius Birke, Walter Boscheri, Christian Klingenberg:
A Well-Balanced Semi-implicit IMEX Finite Volume Scheme for Ideal Magnetohydrodynamics at All Mach Numbers. J. Sci. Comput. 98(2): 34 (2024) - [j30]Kathrin Hellmuth, Christian Klingenberg, Qin Li, Min Tang:
Kinetic Chemotaxis Tumbling Kernel Determined from Macroscopic Quantities. SIAM J. Math. Anal. 56(1): 568-587 (2024) - [j29]Lena Baumann, Lukas Einkemmer, Christian Klingenberg, Jonas Kusch:
Energy Stable and Conservative Dynamical Low-Rank Approximation for the Su-Olson Problem. SIAM J. Sci. Comput. 46(2): 137- (2024) - [i26]Luis Kaiser, Richard Tsai, Christian Klingenberg:
Efficient Numerical Wave Propagation Enhanced By An End-to-End Deep Learning Model. CoRR abs/2402.02304 (2024) - [i25]Junming Duan, Wasilij Barsukow, Christian Klingenberg:
Active flux methods for hyperbolic conservation laws - flux vector splitting and bound-preservation: One-dimensional case. CoRR abs/2405.02447 (2024) - [i24]Yu-Chen Cheng, Christian Klingenberg, Rony Touma:
A Well-Balanced Method for an Unstaggered Central Scheme, the one-space Dimensional Case. CoRR abs/2405.08549 (2024) - [i23]Yu-Chen Cheng, Christian Klingenberg, Rony Touma:
A Well-Balanced Method for an Unstaggered Central Scheme, the two-space Dimensional Case. CoRR abs/2406.07185 (2024) - [i22]Junming Duan, Wasilij Barsukow, Christian Klingenberg:
Active flux methods for hyperbolic conservation laws - flux vector splitting and bound-preservation: Two-dimensional case. CoRR abs/2407.13380 (2024) - [i21]Kathrin Hellmuth, Christian Klingenberg, Qin Li:
Preserving positivity of Gauss-Newton Hessian through random sampling. CoRR abs/2409.15906 (2024) - [i20]Junming Duan, Wasilij Barsukow, Christian Klingenberg:
Active flux methods for hyperbolic conservation laws - flux vector splitting and bound-preservation. CoRR abs/2411.00065 (2024) - [i19]Lena Baumann, Lukas Einkemmer, Christian Klingenberg, Jonas Kusch:
A stable multiplicative dynamical low-rank discretization for the linear Boltzmann-BGK equation. CoRR abs/2411.06844 (2024) - [i18]Wasilij Barsukow, Janina Kern, Christian Klingenberg, Lisa Lechner:
Analysis of the multi-dimensional semi-discrete Active Flux method using the Fourier transform. CoRR abs/2412.03477 (2024) - 2023
- [j28]Hubert Baty, Florence Drui, Philippe Helluy, Emmanuel Franck, Christian Klingenberg, Lukas Thanhäuser:
A robust and efficient solver based on kinetic schemes for Magnetohydrodynamics (MHD) equations. Appl. Math. Comput. 440: 127667 (2023) - [j27]Jeffrey R. Haack, Cory D. Hauck, Christian Klingenberg, Marlies Pirner, Sandra Warnecke:
Numerical schemes for a multi-species BGK model with velocity-dependent collision frequency. J. Comput. Phys. 473: 111729 (2023) - [i17]Claudius Birke, Walter Boscheri, Christian Klingenberg:
A well-balanced semi-implicit IMEX finite volume scheme for ideal Magnetohydrodynamics at all Mach numbers. CoRR abs/2306.16286 (2023) - [i16]Lena Baumann, Lukas Einkemmer, Christian Klingenberg, Jonas Kusch:
Energy stable and conservative dynamical low-rank approximation for the Su-Olson problem. CoRR abs/2307.07538 (2023) - [i15]Kathrin Hellmuth, Christian Klingenberg, Qin Li, Min Tang:
Numerical reconstruction of the kinetic chemotaxis kernel from macroscopic measurement, wellposedness and illposedness. CoRR abs/2309.05004 (2023) - [i14]Rémi Abgrall, Wasilij Barsukow, Christian Klingenberg:
The Active Flux method for the Euler equations on Cartesian grids. CoRR abs/2310.00683 (2023) - 2022
- [j26]Silu Yin, Xianting Wang, Yun-guang Lu, Christian Klingenberg:
Global solutions of the Cauchy problem to Euler-Poisson equations of two-carrier types. Appl. Math. Lett. 132: 108174 (2022) - [i13]Jeffrey R. Haack, Cory D. Hauck, Christian Klingenberg, Marlies Pirner, Sandra Warnecke:
Numerical schemes for a multi-species BGK model with velocity-dependent collision frequency. CoRR abs/2202.05652 (2022) - [i12]Giovanni Leidi, Claudius Birke, R. Andrassy, J. Higl, Philipp V. F. Edelmann, G. Wiest, Christian Klingenberg, Friedrich K. Röpke:
A finite-volume scheme for modeling compressible magnetohydrodynamic flows at low Mach numbers in stellar interiors. CoRR abs/2210.01641 (2022) - 2021
- [j25]Yun-guang Lu, Changfeng Xue, Christian Klingenberg:
Global entropy solutions for systems modelling polymer flooding in enhanced oil recovery. Appl. Math. Lett. 122: 107495 (2021) - [j24]Kathrin Hellmuth, Christian Klingenberg, Qin Li, Min Tang:
Multiscale Convergence of the Inverse Problem for Chemotaxis in the Bayesian Setting. Comput. 9(11): 119 (2021) - [j23]Christian Klingenberg, Ru-Yu Lai, Qin Li:
Reconstruction of the Emission Coefficient in the Nonlinear Radiative Transfer Equation. SIAM J. Appl. Math. 81(1): 91-106 (2021) - [j22]Wasilij Barsukow, Jonas P. Berberich, Christian Klingenberg:
On the Active Flux Scheme for Hyperbolic PDEs with Source Terms. SIAM J. Sci. Comput. 43(6): A4015-A4042 (2021) - [i11]Philipp V. F. Edelmann, L. Horst, Jonas P. Berberich, R. Andrassy, J. Higl, Christian Klingenberg, Friedrich K. Röpke:
Well-balanced treatment of gravity in astrophysical fluid dynamics simulations at low Mach numbers. CoRR abs/2102.13111 (2021) - [i10]Wasilij Barsukow, Jonas P. Berberich, Christian Klingenberg:
On the Active Flux scheme for hyperbolic PDEs with source terms. CoRR abs/2108.02784 (2021) - [i9]Claudius Birke, Christophe Chalons, Christian Klingenberg:
A low Mach two-speed relaxation scheme for the compressible Euler equations with gravity. CoRR abs/2112.02986 (2021) - 2020
- [j21]Changfeng Xue, Christian Klingenberg, Yun-guang Lu, Jin-jun Zhang:
Zero relaxation time limits to isothermal hydrodynamic model for semiconductor. Appl. Math. Lett. 109: 106528 (2020) - [j20]Elena Gaburro, Walter Boscheri, Simone Chiocchetti, Christian Klingenberg, Volker Springel, Michael Dumbser:
High order direct Arbitrary-Lagrangian-Eulerian schemes on moving Voronoi meshes with topology changes. J. Comput. Phys. 407: 109167 (2020) - [j19]Andrea Thomann, Gabriella Puppo, Christian Klingenberg:
An all speed second order well-balanced IMEX relaxation scheme for the Euler equations with gravity. J. Comput. Phys. 420: 109723 (2020) - [j18]Anaïs Crestetto, Christian Klingenberg, Marlies Pirner:
Kinetic/Fluid Micro-Macro Numerical Scheme for a Two Component Gas Mixture. Multiscale Model. Simul. 18(2): 970-998 (2020) - [j17]Hind Al Baba, Christian Klingenberg, Ondrej Kreml, Václav Mácha, Simon Markfelder:
Nonuniqueness of Admissible Weak Solution to the Riemann Problem for the Full Euler System in Two Dimensions. SIAM J. Math. Anal. 52(2): 1729-1760 (2020) - [p2]Volker Springel, Christian Klingenberg, Rüdiger Pakmor, Thomas Guillet, Praveen Chandrashekar:
EXAMAG: Towards Exascale Simulations of the Magnetic Universe. Software for Exascale Computing 2020: 331-350 - [i8]Jonas P. Berberich, Christian Klingenberg:
Entropy Stable Numerical Fluxes for Compressible Euler Equations which are Suitable for All Mach Numbers. CoRR abs/2004.01627 (2020) - [i7]Wasilij Barsukow, Christian Klingenberg:
Exact solution and the multidimensional Godunov scheme for the acoustic equations. CoRR abs/2004.04217 (2020) - [i6]Jonas P. Berberich, Roger Käppeli, Praveen Chandrashekar, Christian Klingenberg:
High order discretely well-balanced finite volume methods for Euler equations with gravity - without any à priori information about the hydrostatic solution. CoRR abs/2005.01811 (2020) - [i5]Bernadette N. Hahn, Melinda-Loren Kienle-Garrido, Christian Klingenberg, Sandra Warnecke:
Using the Navier-Cauchy equation for motion estimation in dynamic imaging. CoRR abs/2009.04212 (2020)
2010 – 2019
- 2019
- [j16]Wasilij Barsukow, Jonathan Hohm, Christian Klingenberg, Philip L. Roe:
The Active Flux Scheme on Cartesian Grids and Its Low Mach Number Limit. J. Sci. Comput. 81(1): 594-622 (2019) - [j15]Eduard Feireisl, Christian Klingenberg, Simon Markfelder:
On the Low Mach Number Limit for the Compressible Euler System. SIAM J. Math. Anal. 51(2): 1496-1513 (2019) - [j14]Christian Klingenberg, Gabriella Puppo, Matteo Semplice:
Arbitrary Order Finite Volume Well-Balanced Schemes for the Euler Equations with Gravity. SIAM J. Sci. Comput. 41(2): A695-A721 (2019) - [i4]Jayesh Badwaik, Nils Henrik Risebro, Christian Klingenberg:
Multilevel Monte Carlo Finite Volume Methods for Random Conservation Laws with Discontinuous Flux. CoRR abs/1906.08991 (2019) - [i3]Andrea Thomann, Markus Zenk, Gabriella Puppo, Christian Klingenberg:
An all speed second order IMEX relaxation scheme for the Euler equations. CoRR abs/1907.08398 (2019) - [i2]Jayesh Badwaik, Praveen Chandrashekar, Christian Klingenberg:
Single-Step Arbitrary Lagrangian-Eulerian Discontinuous Galerkin Method for 1-D Euler Equations. CoRR abs/1909.09813 (2019) - [i1]Andrea Thomann, Gabriella Puppo, Christian Klingenberg:
An all speed second order well-balanced IMEX relaxation scheme for the Euler equations with gravity. CoRR abs/1912.09577 (2019) - 2018
- [j13]Souvik Roy, Mario Annunziato, Alfio Borzì, Christian Klingenberg:
A Fokker-Planck approach to control collective motion. Comput. Optim. Appl. 69(2): 423-459 (2018) - 2017
- [j12]Wasilij Barsukow, Philipp V. F. Edelmann, Christian Klingenberg, Fabian Miczek, Friedrich K. Röpke:
A Numerical Scheme for the Compressible Low-Mach Number Regime of Ideal Fluid Dynamics. J. Sci. Comput. 72(2): 623-646 (2017) - [j11]Christian Klingenberg, Gero Schnücke, Yinhua Xia:
An Arbitrary Lagrangian-Eulerian Local Discontinuous Galerkin Method for Hamilton-Jacobi Equations. J. Sci. Comput. 73(2-3): 906-942 (2017) - [j10]Christian Klingenberg, Gero Schnücke, Yinhua Xia:
Arbitrary Lagrangian-Eulerian discontinuous Galerkin method for conservation laws: Analysis and application in one dimension. Math. Comput. 86(305): 1203-1232 (2017) - 2016
- [j9]Vivien Desveaux, Markus Zenk, Christophe Berthon, Christian Klingenberg:
Well-balanced schemes to capture non-explicit steady states: Ripa model. Math. Comput. 85(300): 1571-1602 (2016) - [j8]Praveen Chandrashekar, Christian Klingenberg:
Entropy Stable Finite Volume Scheme for Ideal Compressible MHD on 2-D Cartesian Meshes. SIAM J. Numer. Anal. 54(2): 1313-1340 (2016) - [j7]Rony Touma, Ujjwal Koley, Christian Klingenberg:
Well-Balanced Unstaggered Central Schemes for the Euler Equations with Gravitation. SIAM J. Sci. Comput. 38(5) (2016) - [p1]Andreas Bauer, Kevin Schaal, Volker Springel, Praveen Chandrashekar, Rüdiger Pakmor, Christian Klingenberg:
Simulating Turbulence Using the Astrophysical Discontinuous Galerkin Code TENET. Software for Exascale Computing 2016: 381-402 - 2015
- [j6]Praveen Chandrashekar, Christian Klingenberg:
A Second Order Well-Balanced Finite Volume Scheme for Euler Equations with Gravity. SIAM J. Sci. Comput. 37(3) (2015) - 2011
- [j5]Knut Waagan, Christoph Federrath, Christian Klingenberg:
A robust numerical scheme for highly compressible magnetohydrodynamics: Nonlinear stability, implementation and tests. J. Comput. Phys. 230(9): 3331-3351 (2011) - 2010
- [j4]François Bouchut, Christian Klingenberg, Knut Waagan:
A multiwave approximate Riemann solver for ideal MHD based on relaxation II: numerical implementation with 3 and 5 waves. Numerische Mathematik 115(4): 647-679 (2010)
2000 – 2009
- 2007
- [j3]Christian Klingenberg, Wolfram Schmidt, Knut Waagan:
Numerical comparison of Riemann solvers for astrophysical hydrodynamics. J. Comput. Phys. 227(1): 12-35 (2007) - [j2]François Bouchut, Christian Klingenberg, Knut Waagan:
A multiwave approximate Riemann solver for ideal MHD based on relaxation. I: theoretical framework. Numerische Mathematik 108(1): 7-42 (2007) - 2004
- [j1]Kenneth H. Karlsen, Christian Klingenberg, Nils Henrik Risebro:
A relaxation scheme for conservation laws with a discontinuous coefficient. Math. Comput. 73(247): 1235-1259 (2004)
Coauthor Index
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last updated on 2025-01-26 23:50 CET by the dblp team
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