Christian Klingenberg
Christian Klingenberg
University of Würzburg, Dept. of Mathematics
Verified email at - Homepage
Cited by
Cited by
Vertical structure of a supernova-driven turbulent, magnetized interstellar medium
AS Hill, MR Joung, MM Mac Low, RA Benjamin, LM Haffner, ...
The Astrophysical Journal 750 (2), 104, 2012
Convex conservation laws with discontinuous coefficients. Existence, uniqueness and asymptotic behavior
C Klingenberg, NH Risebro
Communications in Partial Differential Equations 20 (11-12), 1959-1990, 1995
Delayed detonations in full-star models of type Ia supernova explosions
FK Röpke, JC Niemeyer
Astronomy & Astrophysics 464 (2), 683-686, 2007
Front tracking and two-dimensional Riemann problems
J Glimm, C Klingenberg, O McBryan, B Plohr, D Sharp, S Yaniv
Advances in Applied Mathematics 6 (3), 259-290, 1985
A robust numerical scheme for highly compressible magnetohydrodynamics: Nonlinear stability, implementation and tests
K Waagan, C Federrath, C Klingenberg
Journal of Computational Physics 230 (9), 3331-3351, 2011
A multiwave approximate Riemann solver for ideal MHD based on relaxation. I: theoretical framework
F Bouchut, C Klingenberg, K Waagan
Numerische Mathematik 108 (1), 7-42, 2007
A second order well-balanced finite volume scheme for Euler equations with gravity
P Chandrashekar, C Klingenberg
SIAM Journal on Scientific Computing 37 (3), B382-B402, 2015
A multiwave approximate Riemann solver for ideal MHD based on relaxation II: numerical implementation with 3 and 5 waves
F Bouchut, C Klingenberg, K Waagan
Numerische Mathematik 115 (4), 647-679, 2010
A front tracking approach to a model of continuous sedimentation in ideal clarifier–thickener units
R Bürger, KH Karlsen, C Klingenberg, NH Risebro
Nonlinear Analysis: Real World Applications 4 (3), 457-481, 2003
Stability of a resonant system of conservation laws modeling polymer flow with gravitation
C Klingenberg, NH Risebro
Journal of Differential Equations 170 (2), 344-380, 2001
Entropy stable finite volume scheme for ideal compressible MHD on 2-D Cartesian meshes
P Chandrashekar, C Klingenberg
SIAM Journal on Numerical Analysis 54 (2), 1313-1340, 2016
Astrophysical hydrodynamics with a high-order discontinuous Galerkin scheme and adaptive mesh refinement
K Schaal, A Bauer, P Chandrashekar, R Pakmor, C Klingenberg, ...
Monthly Notices of the Royal Astronomical Society 453 (4), 4278-4300, 2015
Well-balanced schemes to capture non-explicit steady states: Ripa model
V Desveaux, M Zenk, C Berthon, C Klingenberg
Mathematics of Computation 85 (300), 1571-1602, 2016
A numerical scheme for the compressible low-Mach number regime of ideal fluid dynamics
W Barsukow, PVF Edelmann, C Klingenberg, F Miczek, FK Röpke
Journal of Scientific Computing 72 (2), 623-646, 2017
A relaxation scheme for conservation laws with a discontinuous coefficient
K Karlsen, C Klingenberg, N Risebro
Mathematics of computation 73 (247), 1235-1259, 2004
A well‐balanced scheme to capture non‐explicit steady states in the Euler equations with gravity
V Desveaux, M Zenk, C Berthon, C Klingenberg
International Journal for Numerical Methods in Fluids 81 (2), 104-127, 2016
Existence of solutions to hyperbolic conservation laws with a source
C Klingenberg, Y Lu
Communications in mathematical physics 187 (2), 327-340, 1997
Hyperbolic conservation laws with discontinuous fluxes and hydrodynamic limit for particle systems
GQ Chen, N Even, C Klingenberg
Journal of differential equations 245 (11), 3095-3126, 2008
Well-balanced central finite volume methods for the Ripa system
R Touma, C Klingenberg
Applied Numerical Mathematics 97, 42-68, 2015
The Riemann problem for the multidimensional isentropic system of gas dynamics is ill-posed if it contains a shock
S Markfelder, C Klingenberg
Archive for Rational Mechanics and Analysis 227 (3), 967-994, 2018
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