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 | 216 | 2012 |
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 | 184 | 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 | 183 | 2011 |
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 | 166 | 1995 |
A multiwave approximate Riemann solver for ideal MHD based on relaxation. I: theoretical framework F Bouchut, C Klingenberg, K Waagan Numerische Mathematik 108, 7-42, 2007 | 143 | 2007 |
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, 647-679, 2010 | 126 | 2010 |
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 | 118 | 2015 |
High order direct Arbitrary-Lagrangian-Eulerian schemes on moving Voronoi meshes with topology changes E Gaburro, W Boscheri, S Chiocchetti, C Klingenberg, V Springel, ... Journal of Computational Physics 407, 109167, 2020 | 98 | 2020 |
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 | 83 | 2016 |
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 | 83 | 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 | 75 | 2001 |
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 | 74 | 2015 |
A consistent kinetic model for a two-component mixture with an application to plasma C Klingenberg, M Pirner, G Puppo arXiv preprint arXiv:1806.09462, 2018 | 72 | 2018 |
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 | 70 | 2016 |
High order well-balanced finite volume methods for multi-dimensional systems of hyperbolic balance laws JP Berberich, P Chandrashekar, C Klingenberg Computers & Fluids 219, 104858, 2021 | 67 | 2021 |
Arbitrary order finite volume well-balanced schemes for the Euler equations with gravity C Klingenberg, G Puppo, M Semplice SIAM Journal on Scientific Computing 41 (2), A695-A721, 2019 | 66 | 2019 |
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 | 61 | 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, 623-646, 2017 | 60 | 2017 |
Thermonuclear explosions of rapidly rotating white dwarfs-I. Deflagrations JMM Pfannes, JC Niemeyer, W Schmidt, C Klingenberg Astronomy & Astrophysics 509, A74, 2010 | 55 | 2010 |
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, 967-994, 2018 | 49 | 2018 |