Christian Klingenberg

70 papers Journal 68

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	A low-dissipation central scheme for ideal MHD. CoRR Yu-Chen Cheng, Praveen Chandrashekar, Christian Klingenberg
2026	J	`jnl`	On the equivalence of semi-discrete Active Flux and Discontinuous Galerkin methods and a comparison of their performance. CoRR Wasilij Barsukow, Christian Klingenberg, Simon Krotsch
2025	J	`jnl`	A Semi-discrete Active Flux Method for the Euler Equations on Cartesian Grids. J. Sci. Comput. Rémi Abgrall, Wasilij Barsukow, Christian Klingenberg
2025	J	`jnl`	A generalized Active Flux method of arbitrarily high order in two dimensions. CoRR Wasilij Barsukow, Praveen Chandrashekar, Christian Klingenberg, Lisa Lechner
2025	J	`jnl`	Active Flux Methods for Hyperbolic Conservation Laws - Flux Vector Splitting and Bound-Preservation. SIAM J. Sci. Comput. Junming Duan, Wasilij Barsukow, Christian Klingenberg
2025	J	`jnl`	Active flux for ideal magnetohydrodynamics: A positivity-preserving scheme with the Godunov-Powell source term. CoRR Junming Duan, Praveen Chandrashekar, Christian Klingenberg
2025	J	`jnl`	An adaptive dynamical low-rank optimizer for solving kinetic parameter identification inverse problems. CoRR Lena Baumann, Lukas Einkemmer, Christian Klingenberg, Jonas Kusch
2025	J	`jnl`	An asymptotic-preserving active flux scheme for the hyperbolic heat equation in the diffusive scaling. CoRR Junming Duan, Wasilij Barsukow, Christian Klingenberg
2025	J	`jnl`	An energy stable and conservative multiplicative dynamical low-rank discretization for the Su-Olson problem. CoRR Lena Baumann, Lukas Einkemmer, Christian Klingenberg, Jonas Kusch
2025	J	`jnl`	Reconstructing the Kinetic Chemotaxis Kernel Using Macroscopic Data: Well-Posedness and Ill-Posedness. SIAM J. Appl. Math. Kathrin Hellmuth, Christian Klingenberg, Qin Li, Min Tang
2025	J	`jnl`	Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators. CoRR Wasilij Barsukow, Christian Klingenberg, Lisa Lechner, Jan Nordström, Sigrun Ortleb, Hendrik Ranocha
2024	J	`jnl`	A Well-Balanced Method for an Unstaggered Central Scheme, the one-space Dimensional Case. CoRR Yu-Chen Cheng, Christian Klingenberg, Rony Touma
2024	J	`jnl`	A Well-Balanced Method for an Unstaggered Central Scheme, the two-space Dimensional Case. CoRR Yu-Chen Cheng, Christian Klingenberg, Rony Touma
2024	J	`jnl`	A Well-Balanced Semi-implicit IMEX Finite Volume Scheme for Ideal Magnetohydrodynamics at All Mach Numbers. J. Sci. Comput. Claudius Birke, Walter Boscheri, Christian Klingenberg
2024	J	`jnl`	A stable multiplicative dynamical low-rank discretization for the linear Boltzmann-BGK equation. CoRR Lena Baumann, Lukas Einkemmer, Christian Klingenberg, Jonas Kusch
2024	J	`jnl`	Active flux methods for hyperbolic conservation laws - flux vector splitting and bound-preservation. CoRR Junming Duan, Wasilij Barsukow, Christian Klingenberg
2024	J	`jnl`	Active flux methods for hyperbolic conservation laws - flux vector splitting and bound-preservation: One-dimensional case. CoRR Junming Duan, Wasilij Barsukow, Christian Klingenberg
2024	J	`jnl`	Active flux methods for hyperbolic conservation laws - flux vector splitting and bound-preservation: Two-dimensional case. CoRR Junming Duan, Wasilij Barsukow, Christian Klingenberg
2024	J	`jnl`	Analysis of the multi-dimensional semi-discrete Active Flux method using the Fourier transform. CoRR Wasilij Barsukow, Janina Kern, Christian Klingenberg, Lisa Lechner
2024	J	`jnl`	Efficient Numerical Wave Propagation Enhanced By An End-to-End Deep Learning Model. CoRR Luis Kaiser, Richard Tsai, Christian Klingenberg
2024	J	`jnl`	Energy Stable and Conservative Dynamical Low-Rank Approximation for the Su-Olson Problem. SIAM J. Sci. Comput. Lena Baumann, Lukas Einkemmer, Christian Klingenberg, Jonas Kusch
2024	J	`jnl`	Kinetic Chemotaxis Tumbling Kernel Determined from Macroscopic Quantities. SIAM J. Math. Anal. Kathrin Hellmuth, Christian Klingenberg, Qin Li, Min Tang
2024	J	`jnl`	Preserving positivity of Gauss-Newton Hessian through random sampling. CoRR Kathrin Hellmuth, Christian Klingenberg, Qin Li
2023	J	`jnl`	A robust and efficient solver based on kinetic schemes for Magnetohydrodynamics (MHD) equations. Appl. Math. Comput. Hubert Baty, Florence Drui, Philippe Helluy, Emmanuel Franck, Christian Klingenberg, Lukas Thanhäuser
2023	J	`jnl`	A well-balanced semi-implicit IMEX finite volume scheme for ideal Magnetohydrodynamics at all Mach numbers. CoRR Claudius Birke, Walter Boscheri, Christian Klingenberg
2023	J	`jnl`	Energy stable and conservative dynamical low-rank approximation for the Su-Olson problem. CoRR Lena Baumann, Lukas Einkemmer, Christian Klingenberg, Jonas Kusch
2023	J	`jnl`	Numerical reconstruction of the kinetic chemotaxis kernel from macroscopic measurement, wellposedness and illposedness. CoRR Kathrin Hellmuth, Christian Klingenberg, Qin Li, Min Tang
2023	J	`jnl`	Numerical schemes for a multi-species BGK model with velocity-dependent collision frequency. J. Comput. Phys. Jeffrey R. Haack, Cory D. Hauck, Christian Klingenberg, Marlies Pirner, Sandra Warnecke
2023	J	`jnl`	The Active Flux method for the Euler equations on Cartesian grids. CoRR Rémi Abgrall, Wasilij Barsukow, Christian Klingenberg
2022	J	`jnl`	A finite-volume scheme for modeling compressible magnetohydrodynamic flows at low Mach numbers in stellar interiors. CoRR Giovanni Leidi, Claudius Birke, R. Andrassy, J. Higl, Philipp V. F. Edelmann, G. Wiest, Christian Klingenberg, Friedrich K. Röpke
2022	J	`jnl`	Global solutions of the Cauchy problem to Euler-Poisson equations of two-carrier types. Appl. Math. Lett. Silu Yin, Xianting Wang, Yun-Guang Lu, Christian Klingenberg
2022	J	`jnl`	Numerical schemes for a multi-species BGK model with velocity-dependent collision frequency. CoRR Jeffrey R. Haack, Cory D. Hauck, Christian Klingenberg, Marlies Pirner, Sandra Warnecke
2021	J	`jnl`	A low Mach two-speed relaxation scheme for the compressible Euler equations with gravity. CoRR Claudius Birke, Christophe Chalons, Christian Klingenberg
2021	J	`jnl`	Global entropy solutions for systems modelling polymer flooding in enhanced oil recovery. Appl. Math. Lett. Yun-Guang Lu, Changfeng Xue, Christian Klingenberg
2021	J	`jnl`	Multiscale Convergence of the Inverse Problem for Chemotaxis in the Bayesian Setting. Comput. Kathrin Hellmuth, Christian Klingenberg, Qin Li, Min Tang
2021	J	`jnl`	On the Active Flux Scheme for Hyperbolic PDEs with Source Terms. SIAM J. Sci. Comput. Wasilij Barsukow, Jonas P. Berberich, Christian Klingenberg
2021	J	`jnl`	On the Active Flux scheme for hyperbolic PDEs with source terms. CoRR Wasilij Barsukow, Jonas P. Berberich, Christian Klingenberg
2021	J	`jnl`	Reconstruction of the Emission Coefficient in the Nonlinear Radiative Transfer Equation. SIAM J. Appl. Math. Christian Klingenberg, Ru-Yu Lai, Qin Li
2021	J	`jnl`	Well-balanced treatment of gravity in astrophysical fluid dynamics simulations at low Mach numbers. CoRR Philipp V. F. Edelmann, L. Horst, Jonas P. Berberich, R. Andrassy, J. Higl, Christian Klingenberg, Friedrich K. Röpke
2020	J	`jnl`	An all speed second order well-balanced IMEX relaxation scheme for the Euler equations with gravity. J. Comput. Phys. Andrea Thomann, Gabriella Puppo, Christian Klingenberg
2020	—	`ch.`	EXAMAG: Towards Exascale Simulations of the Magnetic Universe. Software for Exascale Computing Volker Springel, Christian Klingenberg, Rüdiger Pakmor, Thomas Guillet, Praveen Chandrashekar
2020	J	`jnl`	Entropy Stable Numerical Fluxes for Compressible Euler Equations which are Suitable for All Mach Numbers. CoRR Jonas P. Berberich, Christian Klingenberg
2020	J	`jnl`	Exact solution and the multidimensional Godunov scheme for the acoustic equations. CoRR Wasilij Barsukow, Christian Klingenberg
2020	J	`jnl`	High order direct Arbitrary-Lagrangian-Eulerian schemes on moving Voronoi meshes with topology changes. J. Comput. Phys. Elena Gaburro, Walter Boscheri, Simone Chiocchetti, Christian Klingenberg, Volker Springel, Michael Dumbser
2020	J	`jnl`	High order discretely well-balanced finite volume methods for Euler equations with gravity - without any à priori information about the hydrostatic solution. CoRR Jonas P. Berberich, Roger Käppeli, Praveen Chandrashekar, Christian Klingenberg
2020	J	`jnl`	Kinetic/Fluid Micro-Macro Numerical Scheme for a Two Component Gas Mixture. Multiscale Model. Simul. Anaïs Crestetto, Christian Klingenberg, Marlies Pirner
2020	J	`jnl`	Nonuniqueness of Admissible Weak Solution to the Riemann Problem for the Full Euler System in Two Dimensions. SIAM J. Math. Anal. Hind Al Baba, Christian Klingenberg, Ondrej Kreml, Václav Mácha, Simon Markfelder
2020	J	`jnl`	Using the Navier-Cauchy equation for motion estimation in dynamic imaging. CoRR Bernadette N. Hahn, Melinda-Loren Kienle-Garrido, Christian Klingenberg, Sandra Warnecke
2020	J	`jnl`	Zero relaxation time limits to isothermal hydrodynamic model for semiconductor. Appl. Math. Lett. Changfeng Xue, Christian Klingenberg, Yun-Guang Lu, Jin-jun Zhang
2019	J	`jnl`	An all speed second order IMEX relaxation scheme for the Euler equations. CoRR Andrea Thomann, Markus Zenk, Gabriella Puppo, Christian Klingenberg
2019	J	`jnl`	An all speed second order well-balanced IMEX relaxation scheme for the Euler equations with gravity. CoRR Andrea Thomann, Gabriella Puppo, Christian Klingenberg
2019	J	`jnl`	Arbitrary Order Finite Volume Well-Balanced Schemes for the Euler Equations with Gravity. SIAM J. Sci. Comput. Christian Klingenberg, Gabriella Puppo, Matteo Semplice
2019	J	`jnl`	Multilevel Monte Carlo Finite Volume Methods for Random Conservation Laws with Discontinuous Flux. CoRR Jayesh Badwaik, Nils Henrik Risebro, Christian Klingenberg
2019	J	`jnl`	On the Low Mach Number Limit for the Compressible Euler System. SIAM J. Math. Anal. Eduard Feireisl, Christian Klingenberg, Simon Markfelder
2019	J	`jnl`	Single-Step Arbitrary Lagrangian-Eulerian Discontinuous Galerkin Method for 1-D Euler Equations. CoRR Jayesh Badwaik, Praveen Chandrashekar, Christian Klingenberg
2019	J	`jnl`	The Active Flux Scheme on Cartesian Grids and Its Low Mach Number Limit. J. Sci. Comput. Wasilij Barsukow, Jonathan Hohm, Christian Klingenberg, Philip L. Roe
2018	J	`jnl`	A Fokker-Planck approach to control collective motion. Comput. Optim. Appl. Souvik Roy, Mario Annunziato, Alfio Borzì, Christian Klingenberg
2017	J	`jnl`	A Numerical Scheme for the Compressible Low-Mach Number Regime of Ideal Fluid Dynamics. J. Sci. Comput. Wasilij Barsukow, Philipp V. F. Edelmann, Christian Klingenberg, Fabian Miczek, Friedrich K. Röpke
2017	J	`jnl`	An Arbitrary Lagrangian-Eulerian Local Discontinuous Galerkin Method for Hamilton-Jacobi Equations. J. Sci. Comput. Christian Klingenberg, Gero Schnücke, Yinhua Xia
2017	J	`jnl`	Arbitrary Lagrangian-Eulerian discontinuous Galerkin method for conservation laws: Analysis and application in one dimension. Math. Comput. Christian Klingenberg, Gero Schnücke, Yinhua Xia
2016	J	`jnl`	Entropy Stable Finite Volume Scheme for Ideal Compressible MHD on 2-D Cartesian Meshes. SIAM J. Numer. Anal. Praveen Chandrashekar, Christian Klingenberg
2016	—	`ch.`	Simulating Turbulence Using the Astrophysical Discontinuous Galerkin Code TENET. Software for Exascale Computing Andreas Bauer, Kevin Schaal, Volker Springel, Praveen Chandrashekar, Rüdiger Pakmor, Christian Klingenberg
2016	J	`jnl`	Well-Balanced Unstaggered Central Schemes for the Euler Equations with Gravitation. SIAM J. Sci. Comput. Rony Touma, Ujjwal Koley, Christian Klingenberg
2016	J	`jnl`	Well-balanced schemes to capture non-explicit steady states: Ripa model. Math. Comput. Vivien Desveaux, Markus Zenk, Christophe Berthon, Christian Klingenberg
2015	J	`jnl`	A Second Order Well-Balanced Finite Volume Scheme for Euler Equations with Gravity. SIAM J. Sci. Comput. Praveen Chandrashekar, Christian Klingenberg
2011	J	`jnl`	A robust numerical scheme for highly compressible magnetohydrodynamics: Nonlinear stability, implementation and tests. J. Comput. Phys. Knut Waagan, Christoph Federrath, Christian Klingenberg
2010	J	`jnl`	A multiwave approximate Riemann solver for ideal MHD based on relaxation II: numerical implementation with 3 and 5 waves. Numerische Mathematik François Bouchut, Christian Klingenberg, Knut Waagan
2007	J	`jnl`	A multiwave approximate Riemann solver for ideal MHD based on relaxation. I: theoretical framework. Numerische Mathematik François Bouchut, Christian Klingenberg, Knut Waagan
2007	J	`jnl`	Numerical comparison of Riemann solvers for astrophysical hydrodynamics. J. Comput. Phys. Christian Klingenberg, Wolfram Schmidt, Knut Waagan
2004	J	`jnl`	A relaxation scheme for conservation laws with a discontinuous coefficient. Math. Comput. Kenneth H. Karlsen, Christian Klingenberg, Nils Henrik Risebro