Christian Klingenberg

Orcid: 0000-0003-2033-8204

Affiliations:
  • Julius Maximilian University of Würzburg, Department of Mathematics, Germany


According to our database1, Christian Klingenberg authored at least 51 papers between 2004 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
Kinetic Chemotaxis Tumbling Kernel Determined from Macroscopic Quantities.
SIAM J. Math. Anal., February, 2024

A Well-Balanced Semi-implicit IMEX Finite Volume Scheme for Ideal Magnetohydrodynamics at All Mach Numbers.
J. Sci. Comput., February, 2024

Energy Stable and Conservative Dynamical Low-Rank Approximation for the Su-Olson Problem.
SIAM J. Sci. Comput., 2024

Preserving positivity of Gauss-Newton Hessian through random sampling.
CoRR, 2024

Active flux methods for hyperbolic conservation laws - flux vector splitting and bound-preservation: Two-dimensional case.
CoRR, 2024

A Well-Balanced Method for an Unstaggered Central Scheme, the two-space Dimensional Case.
CoRR, 2024

A Well-Balanced Method for an Unstaggered Central Scheme, the one-space Dimensional Case.
CoRR, 2024

Active flux methods for hyperbolic conservation laws - flux vector splitting and bound-preservation: One-dimensional case.
CoRR, 2024

Efficient Numerical Wave Propagation Enhanced By An End-to-End Deep Learning Model.
CoRR, 2024

2023
Numerical schemes for a multi-species BGK model with velocity-dependent collision frequency.
J. Comput. Phys., 2023

The Active Flux method for the Euler equations on Cartesian grids.
CoRR, 2023

Numerical reconstruction of the kinetic chemotaxis kernel from macroscopic measurement, wellposedness and illposedness.
CoRR, 2023

A robust and efficient solver based on kinetic schemes for Magnetohydrodynamics (MHD) equations.
Appl. Math. Comput., 2023

2022
A finite-volume scheme for modeling compressible magnetohydrodynamic flows at low Mach numbers in stellar interiors.
CoRR, 2022

Global solutions of the Cauchy problem to Euler-Poisson equations of two-carrier types.
Appl. Math. Lett., 2022

2021
On the Active Flux Scheme for Hyperbolic PDEs with Source Terms.
SIAM J. Sci. Comput., 2021

Reconstruction of the Emission Coefficient in the Nonlinear Radiative Transfer Equation.
SIAM J. Appl. Math., 2021

A low Mach two-speed relaxation scheme for the compressible Euler equations with gravity.
CoRR, 2021

Well-balanced treatment of gravity in astrophysical fluid dynamics simulations at low Mach numbers.
CoRR, 2021

Multiscale Convergence of the Inverse Problem for Chemotaxis in the Bayesian Setting.
Comput., 2021

Global entropy solutions for systems modelling polymer flooding in enhanced oil recovery.
Appl. Math. Lett., 2021

2020
EXAMAG: Towards Exascale Simulations of the Magnetic Universe.
Proceedings of the Software for Exascale Computing - SPPEXA 2016-2019, 2020

Nonuniqueness of Admissible Weak Solution to the Riemann Problem for the Full Euler System in Two Dimensions.
SIAM J. Math. Anal., 2020

Kinetic/Fluid Micro-Macro Numerical Scheme for a Two Component Gas Mixture.
Multiscale Model. Simul., 2020

An all speed second order well-balanced IMEX relaxation scheme for the Euler equations with gravity.
J. Comput. Phys., 2020

High order direct Arbitrary-Lagrangian-Eulerian schemes on moving Voronoi meshes with topology changes.
J. Comput. Phys., 2020

Using the Navier-Cauchy equation for motion estimation in dynamic imaging.
CoRR, 2020

High order discretely well-balanced finite volume methods for Euler equations with gravity - without any à priori information about the hydrostatic solution.
CoRR, 2020

Exact solution and the multidimensional Godunov scheme for the acoustic equations.
CoRR, 2020

Entropy Stable Numerical Fluxes for Compressible Euler Equations which are Suitable for All Mach Numbers.
CoRR, 2020

Zero relaxation time limits to isothermal hydrodynamic model for semiconductor.
Appl. Math. Lett., 2020

2019
Arbitrary Order Finite Volume Well-Balanced Schemes for the Euler Equations with Gravity.
SIAM J. Sci. Comput., 2019

On the Low Mach Number Limit for the Compressible Euler System.
SIAM J. Math. Anal., 2019

The Active Flux Scheme on Cartesian Grids and Its Low Mach Number Limit.
J. Sci. Comput., 2019

Single-Step Arbitrary Lagrangian-Eulerian Discontinuous Galerkin Method for 1-D Euler Equations.
CoRR, 2019

An all speed second order IMEX relaxation scheme for the Euler equations.
CoRR, 2019

Multilevel Monte Carlo Finite Volume Methods for Random Conservation Laws with Discontinuous Flux.
CoRR, 2019

2018
A Fokker-Planck approach to control collective motion.
Comput. Optim. Appl., 2018

2017
Arbitrary Lagrangian-Eulerian discontinuous Galerkin method for conservation laws: Analysis and application in one dimension.
Math. Comput., 2017

An Arbitrary Lagrangian-Eulerian Local Discontinuous Galerkin Method for Hamilton-Jacobi Equations.
J. Sci. Comput., 2017

A Numerical Scheme for the Compressible Low-Mach Number Regime of Ideal Fluid Dynamics.
J. Sci. Comput., 2017

2016
Simulating Turbulence Using the Astrophysical Discontinuous Galerkin Code TENET.
Proceedings of the Software for Exascale Computing - SPPEXA 2013-2015, 2016

Well-Balanced Unstaggered Central Schemes for the Euler Equations with Gravitation.
SIAM J. Sci. Comput., 2016

Entropy Stable Finite Volume Scheme for Ideal Compressible MHD on 2-D Cartesian Meshes.
SIAM J. Numer. Anal., 2016

Well-balanced schemes to capture non-explicit steady states: Ripa model.
Math. Comput., 2016

2015
A Second Order Well-Balanced Finite Volume Scheme for Euler Equations with Gravity.
SIAM J. Sci. Comput., 2015

2011
A robust numerical scheme for highly compressible magnetohydrodynamics: Nonlinear stability, implementation and tests.
J. Comput. Phys., 2011

2010
A multiwave approximate Riemann solver for ideal MHD based on relaxation II: numerical implementation with 3 and 5 waves.
Numerische Mathematik, 2010

2007
A multiwave approximate Riemann solver for ideal MHD based on relaxation. I: theoretical framework.
Numerische Mathematik, 2007

Numerical comparison of Riemann solvers for astrophysical hydrodynamics.
J. Comput. Phys., 2007

2004
A relaxation scheme for conservation laws with a discontinuous coefficient.
Math. Comput., 2004


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