Christian Klingenberg

Publication Activity (10 Years)

Years Active: 2004-2024
Publications (10 Years): 47

Top Topics

Numerical Scheme

Top Venues

SIAM J. Sci. Comput.

J. Sci. Comput.

SIAM J. Math. Anal.

Publications

Yu-Chen Cheng, Christian Klingenberg, Rony Touma
A Well-Balanced Method for an Unstaggered Central Scheme, the two-space Dimensional Case. CoRR (2024)
Junming Duan, Wasilij Barsukow, Christian Klingenberg
Active flux methods for hyperbolic conservation laws - flux vector splitting and bound-preservation: Two-dimensional case. CoRR (2024)
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) (2024)
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) (2024)
Junming Duan, Wasilij Barsukow, Christian Klingenberg
Active flux methods for hyperbolic conservation laws - flux vector splitting and bound-preservation: One-dimensional case. CoRR (2024)
Luis Kaiser, Richard Tsai, Christian Klingenberg
Efficient Numerical Wave Propagation Enhanced By An End-to-End Deep Learning Model. CoRR (2024)
Yu-Chen Cheng, Christian Klingenberg, Rony Touma
A Well-Balanced Method for an Unstaggered Central Scheme, the one-space Dimensional Case. CoRR (2024)
Kathrin Hellmuth, Christian Klingenberg, Qin Li, Min Tang
Kinetic Chemotaxis Tumbling Kernel Determined from Macroscopic Quantities. SIAM J. Math. Anal. 56 (1) (2024)
Claudius Birke, Walter Boscheri, Christian Klingenberg
A well-balanced semi-implicit IMEX finite volume scheme for ideal Magnetohydrodynamics at all Mach numbers. CoRR (2023)
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 (2023)
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 (2023)
Rémi Abgrall, Wasilij Barsukow, Christian Klingenberg
The Active Flux method for the Euler equations on Cartesian grids. CoRR (2023)
Lena Baumann, Lukas Einkemmer, Christian Klingenberg, Jonas Kusch
Energy stable and conservative dynamical low-rank approximation for the Su-Olson problem. CoRR (2023)
Kathrin Hellmuth, Christian Klingenberg, Qin Li, Min Tang
Numerical reconstruction of the kinetic chemotaxis kernel from macroscopic measurement, wellposedness and illposedness. CoRR (2023)
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 (2022)
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 (2022)
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 (2022)
Yun-guang Lu, Changfeng Xue, Christian Klingenberg
Global entropy solutions for systems modelling polymer flooding in enhanced oil recovery. Appl. Math. Lett. 122 (2021)
Kathrin Hellmuth, Christian Klingenberg, Qin Li, Min Tang
Multiscale Convergence of the Inverse Problem for Chemotaxis in the Bayesian Setting. Comput. 9 (11) (2021)
Claudius Birke, Christophe Chalons, Christian Klingenberg
A low Mach two-speed relaxation scheme for the compressible Euler equations with gravity. CoRR (2021)
Wasilij Barsukow, Jonas P. Berberich, Christian Klingenberg
On the Active Flux Scheme for Hyperbolic PDEs with Source Terms. SIAM J. Sci. Comput. 43 (6) (2021)
Christian Klingenberg, Ru-Yu Lai, Qin Li
Reconstruction of the Emission Coefficient in the Nonlinear Radiative Transfer Equation. SIAM J. Appl. Math. 81 (1) (2021)
Wasilij Barsukow, Jonas P. Berberich, Christian Klingenberg
On the Active Flux scheme for hyperbolic PDEs with source terms. CoRR (2021)
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 (2021)
Anaïs Crestetto, Christian Klingenberg, Marlies Pirner
Kinetic/Fluid Micro-Macro Numerical Scheme for a Two Component Gas Mixture. Multiscale Model. Simul. 18 (2) (2020)
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 (2020)
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 (2020)
Jonas P. Berberich, Christian Klingenberg
Entropy Stable Numerical Fluxes for Compressible Euler Equations which are Suitable for All Mach Numbers. CoRR (2020)
Wasilij Barsukow, Christian Klingenberg
Exact solution and the multidimensional Godunov scheme for the acoustic equations. CoRR (2020)
Bernadette N. Hahn, Melinda-Loren Kienle-Garrido, Christian Klingenberg, Sandra Warnecke
Using the Navier-Cauchy equation for motion estimation in dynamic imaging. CoRR (2020)
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) (2020)
Changfeng Xue, Christian Klingenberg, Yun-guang Lu, Jin-jun Zhang
Zero relaxation time limits to isothermal hydrodynamic model for semiconductor. Appl. Math. Lett. 109 (2020)
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 (2020)
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) (2019)
Andrea Thomann, Gabriella Puppo, Christian Klingenberg
An all speed second order well-balanced IMEX relaxation scheme for the Euler equations with gravity. CoRR (2019)
Jayesh Badwaik, Praveen Chandrashekar, Christian Klingenberg
Single-Step Arbitrary Lagrangian-Eulerian Discontinuous Galerkin Method for 1-D Euler Equations. CoRR (2019)
Andrea Thomann, Markus Zenk, Gabriella Puppo, Christian Klingenberg
An all speed second order IMEX relaxation scheme for the Euler equations. CoRR (2019)
Eduard Feireisl, Christian Klingenberg, Simon Markfelder
On the Low Mach Number Limit for the Compressible Euler System. SIAM J. Math. Anal. 51 (2) (2019)
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) (2019)
Jayesh Badwaik, Nils Henrik Risebro, Christian Klingenberg
Multilevel Monte Carlo Finite Volume Methods for Random Conservation Laws with Discontinuous Flux. CoRR (2019)
Souvik Roy, Mario Annunziato, Alfio Borzì, Christian Klingenberg
A Fokker-Planck approach to control collective motion. Comput. Optim. Appl. 69 (2) (2018)
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) (2017)
Christian Klingenberg, Gero Schnücke, Yinhua Xia
An Arbitrary Lagrangian-Eulerian Local Discontinuous Galerkin Method for Hamilton-Jacobi Equations. J. Sci. Comput. 73 (2-3) (2017)
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) (2017)
Rony Touma, Ujjwal Koley, Christian Klingenberg
Well-Balanced Unstaggered Central Schemes for the Euler Equations with Gravitation. SIAM J. Sci. Comput. 38 (5) (2016)
Vivien Desveaux, Markus Zenk, Christophe Berthon, Christian Klingenberg
Well-balanced schemes to capture non-explicit steady states: Ripa model. Math. Comput. 85 (300) (2016)
Praveen Chandrashekar, Christian Klingenberg
Entropy Stable Finite Volume Scheme for Ideal Compressible MHD on 2-D Cartesian Meshes. SIAM J. Numer. Anal. 54 (2) (2016)
Praveen Chandrashekar, Christian Klingenberg
A Second Order Well-Balanced Finite Volume Scheme for Euler Equations with Gravity. SIAM J. Sci. Comput. 37 (3) (2015)
Knut Waagan, Christoph Federrath, Christian Klingenberg
A robust numerical scheme for highly compressible magnetohydrodynamics: Nonlinear stability, implementation and tests. J. Comput. Phys. 230 (9) (2011)
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) (2010)
Christian Klingenberg, Wolfram Schmidt, Knut Waagan
Numerical comparison of Riemann solvers for astrophysical hydrodynamics. J. Comput. Phys. 227 (1) (2007)
François Bouchut, Christian Klingenberg, Knut Waagan
A multiwave approximate Riemann solver for ideal MHD based on relaxation. I: theoretical framework. Numerische Mathematik 108 (1) (2007)
Kenneth H. Karlsen, Christian Klingenberg, Nils Henrik Risebro
A relaxation scheme for conservation laws with a discontinuous coefficient. Math. Comput. 73 (247) (2004)