piwik-script

English Intern
  • Mathematische Formeln an einer Tafel
Mathematische Strömungsmechanik

Publikationen

  • C. Emako, F. Kanbar, C. Klingenberg, M. Tang “Asymptotic preserving schemes for kinetic equations that are also stationary preserving”, submitted (2020) view PDF

  • C. Klingenberg, O. Kreml, V. Macha and S. Markfelder: “Shocks Make the Riemann Problem for the Full Euler System in Multiple Space Dimensions Ill-posed”, submitted (2020) view PDF

  • J. Berberich, C. Klingenberg: “Entropy Stable Numerical Fluxes for Compressible Euler Equations which are Suitable for All Mach Numbers”, submitted (2020) view PDF

  • C. Klingenberg; Y. Lu,  Q. Sun: “Viscosity-flux approximation method to inhomogeneous system of isentropic gas dynamics ”, submitted (2020) view PDF

  • C. Klingenberg; Y. Lu,  Q. Sun: “Global L∞ solutions to systems of isentropic gas dynamics with a source term”, submitted (2020) view PDF

  • C. Klingenberg, Y. Lu, Q. Sun: “Global weak solutions for a nonlinear hyperbolic system”, submitted (2020) view PDF

  • G. Bae, C. Klingenberg, M. Pirner. S. Yun: “BGK model of the multi-species Uehling Uhlenbeck equation”, submitted (2019) view PDF

  • Volker Springel, Christian Klingenberg, Rüdiger Pakmor, Thomas Guillet, and Praveen Chandrashekar: “Towards exascale simulations of the magnetic universe”, submitted (2019) view PDF

  • Kanbar, Touma, Klingenberg: “Well-balanced Central Schemes for the One and Two-dimensional Euler Systems with Gravity”, submitted (2019) view PDF

  • Berberich, J., Chandrashekar, P., Klingenberg, C.: “High order well-balanced finite volume methods for multi-dimensional systems of hyperbolic balance laws, submitted (2019) view PDF

  • Klingenberg, C; Kurganov, A.; Zenk, M..: “Moving-Water Equilibria Preserving HLL-Type Schemes for the Shallow Water Equations ”, submitted (2019)  view PDF

  • E. Feireisl; C. Klingenberg; S. Markfelder, “On the density of ‘wild’ initial data for the compressible Euler system”, submitted (2019)  view PDF

  • Crestetto, A., Klingenberg, C. Pirner, P.: “Kinetic/Fluid micro-macro numerical scheme for a two component gas mixtures”, submitted, (2018)  view PDF

  • Badwaik, J., Klingenberg, C. Risebro, N.H..: “Multilevel Monte Carlo finite volume methods for random conservation laws with discontinuous flux”, submitted (2018) view PDF

  • Barsukow, W., Klingenberg, C.: “Exact solution and a truly multi-d Godunov scheme for the acoustic equations”, preprint (2017)  view PDF

  • Baba, Klingenberg, Kreml, Machla, Markfelder: “Non-uniqueness of admissible weak solution to the Riemann problem for the full Euler system in 2D”, SIAM J. Math. Anal. (2020)  view PDF

  • Feireisl, E., Klingenberg, C., Kreml, O., Markfelder, S.: “On oscillatory solutions to the complete Euler equations”, Journal of Differential Equations (2020) view PDF

  • A. Thomann, M. Zenk, G. Puppo, C. Klingenberg, “An all speed second order IMEX relaxation scheme for the Euler equations”, Communications in Computational Physics (2020) view PDF

  • 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”,  Journal of Computational Physics (2020) view PDF

  • C. Klingenberg “Relaxation projection solvers - the ultimate approximate Riemann solvers”, in : “Continuum mechanics, applied mathematics and scientific computing: Godunov's legacy - A liber amicorum to Professor Godunov”, ed. Demidenko, Romenski, Toro, Dumbser,  Springer Verlag book series: Advanced Structured Materials, (2020)  view PDF

  • C. Berthon, C. Klingenberg, M. Zenk, “An all Mach number relaxation upwind scheme”, SMAI Journal of Computational Mathematics (2020) view PDF

  • Badwaik, J.,  Chandrashekar, P., Klingenberg, C.: “Single-step Arbitrary Lagrangian-Eulerian discontinuous Galerkin method for 1-D Euler equations”, Communications on Applied Mathematics and Computation, vol. 2 (2020)  view PDF

  • Wasilij Barsukow; Jonathan Hohm; Christian Klingenberg; Philip L Roe, “The active flux scheme on Cartesian grids and its low Mach number limit”,  Journal of Scientific Computing, Volume 81, Issue 1, pp. 594–622 (2019) on arXiv , view PDF

  • C. Klingenberg; S. Markfelder, “Non-uniqueness of entropy-conserving solutions to the ideal compressible MHD equations”, accepted in Proceedings of HYP2018, AIMS Journals (2019) view PDF

  • Guermond, J.-L., Klingenberg, C., Popov, B., Tomas, I.: “The Siliciu approximate Riemann solver is not invariant domain preserving”, Journal of Hyperbolic Differential Equations Vol. 16, No. 1 , pp. 1 - 16 (2019) view PDF

  • Beyer, T., Moser, E., Heermann, D. W., Klingenberg, C. F., Sauls, J., Valle, J. W. F., de Boer, J., Elizalde, E., Baleanu, D., Hansen, A., Fang, N. X., Pavesi, L., Friedrich, B., Charles, C., Perc,         M., Van Der Gucht, J., von Steiger, R., Bogazzi, C., eds.: “Frontiers in Physics - 2017 & 2018 Editor’s Choice.” Lausanne: Frontiers Media.,(2019) doi: 10.3389/978-2-88945-804-2 view PDF

  • Sun, Lu, Klingenberg,: “Global L∞ Solutions to System of Isentropic Gas Dynamics in a Divergent Nozzle with Friction”, Acta Mathematica Scientia Series B, vol. 39B(5) (2019)  view PDF

  • Berberich, J., Chandrashekar, P., Klingenberg, C. Röpke, F.: “Finite volume scheme for Euler equations with gravity which is well-balanced for general equations of state and grid systems”, Commun. Comput. Phys., vol. 26, issue 2, pp. 599-630, (2019) view PDF

  • Guillet, Pakmor, Springel, Chandrashekar, Klingenberg, “High-order Magnetohydrodynamics for Astrophysics with an Adaptive Mesh Refinement Discontinuous Galerkin Scheme”, Monthly Notices of the Royal Astronomical Society, Volume 485, Issue 3, Pages 4209–4246 (2019) view PDF

  • Feireisl, E., Klingenberg, Markfelder, S.: “On the low Mach number limit for the compressible Euler system”, SIAM Journal Mathematical Analysis, Vol. 51-2, pp. 1496-1513, (2019) view PDF

  • Thomann, A., Zenk, M., Klingenberg, C.,: “A second order well-balanced finite volume scheme for Euler equations with gravity for arbitrary hydrostatic equilibria”, International Journal for Numerical Methods in Fluids, vol. 89, pp. 465–482 (2019)  view PDF

  • Klingenberg, Pirner, M., Puppo, G. : “A consistent kinetic models for a two-component mixture of polyatomic molecules”, Communication of Mathematical Physics, Vol. 17 (2019)  view PDF

  • C. Klingenberg, G. Puppo, M. Semplice, “Arbitrary order finite volume well-balanced schemes for the Euler equations with gravity”,  SIAM J. Scientific Computing,Vol. 41, No. 2, pp. A695-A721 arXiv (2019)  view PDF

     

  • Klingenberg, Markfelder, S.: “Non-uniqueness of energy-conservative solutions to the isentropic compressible two-dimensional Euler equations ”, Journal of Hyperbolic Differential Equations, Vol. 15,4 (2018) view PDF

  • Klingenberg, Pirner, M., Puppo, G. : “Kinetic ES-BGK models for a multi-component gas mixture”, published in C. Klingenberg and M. Westdickenberg (eds.), Theory, Numerics and Applications of Hyperbolic Problems, Springer Proceedings in Mathematics & Statistics (PROMS) 236 (2018)  view PDF

  • Klingenberg, C., Li, Q., Pirner, M. : “On quantifying uncertainties for the BGK kinetic equation”, published in C. Klingenberg and M. Westdickenberg (eds.), Theory, Numerics and Applications of Hyperbolic Problems, Springer Proceedings in Mathematics & Statistics (PROMS) 236 (2018)  view PDF

  • Chandrashekar, P., Gallego, P., Klingenberg, C., : “A Runge-Kutta discontinuous Galerkin scheme for the ideal Magnetohydrodynamical model”, published in C. Klingenberg and M. Westdickenberg (eds.), Theory, Numerics and Applications of Hyperbolic Problems, Springer Proceedings in Mathematics & Statistics (PROMS) 236 (2018) view PDF

  • Colombo, R., Klingenberg, C., Meltzer, M. : “A multispecies traffic model based on the Lighthill Whitham model”, published in C. Klingenberg and M. Westdickenberg (eds.), Theory, Numerics and Applications of Hyperbolic Problems, Springer Proceedings in Mathematics & Statistics (PROMS) 236 (2018)  view PDF

  • Klingenberg, C., Klotzky, J., Seguin, N.: “On well-posedness for a multi-particle-fluid model”, published in C. Klingenberg and M. Westdickenberg (eds.), Theory, Numerics and Applications of Hyperbolic Problems, Springer Proceedings in Mathematics & Statistics (PROMS) 236 (2018) view PDF

  • Klingenberg, C., Thomann, A.: “On computing compressible Euler equations with gravity”, published in C. Klingenberg and M. Westdickenberg (eds.), Theory, Numerics and Applications of Hyperbolic Problems, Springer Proceedings in Mathematics & Statistics (PROMS) 236 (2018) view PDF

  • Klingenberg, C., Schnücke, G., Xia, Y.: “An arbitrary Lagrangian-Eulerian discontinuous Galerkin method for conservation laws: Entropy stability”, published in C. Klingenberg and M. Westdickenberg (eds.), Theory, Numerics and Applications of Hyperbolic Problems, Springer Proceedings in Mathematics & Statistics (PROMS) 236 (2018) view PDF

  • Berberich, J.,  Chandrashekar, P., Klingenberg, C.: “A general well-balanced finite volume scheme for Euler equations with gravity”, published in C. Klingenberg and M. Westdickenberg (eds.), Theory, Numerics and Applications of Hyperbolic Problems, Springer Proceedings in Mathematics & Statistics (PROMS) 236 (2018) view PDF

  • J. Badwaik, M. Boileau, D. Coulette, E. Franck, P. Helluy, C. Klingenberg, L. Mendoza, H. Oberlin, “Task-based parallelization of an implicit kinetic scheme”, ESAIM: Proceedings and Surveys, vol. 63, June (2018) view PDF

  • Roy, S, Annunziato, M., Borzi, M. Klingenberg, C.: “A Fokker-Planck approach to control collective motion”, Computational Optimization and Applications, Vol. 69, (2018)                       http://rdcu.be/vTIEview PDF

  • Xie, Feng & Klingenberg, C.: “A limit problem for three dimensional ideal compressible radiation magneto-hydrodynamics” Analysis and Applications, vol. 16, 1, pp. 85 - 102, (2018)         view PDF

  • Klingenberg, C. & Pirner, M.: “Existence, Uniqueness and Positivity of solutions for BGK models for mixtures”, Journal of Differential Equations, 264, pp. 207-227 (2018) view PDF

  • Markfelder, S., Klingenberg, C. : “The Riemann problem for the multidimensional isentropic system of gas dynamics is ill-posed if it contains a shock”, Volume 227, Issue 3, Archive for Rational Mechanics and Analysis  (2018) view PDF

  • Barsukow, W.,  Edelmann, P., Klingenberg, C., Röpke, F.: “A low-Mach Roe-type solver for the Euler equations allowing for gravity source terms”, ESAIM: Proceedings and Surveys, vol. 58, (2017) view PDF

  • Klingenberg, C.: “Numerical Methods for Astrophysics”, Handbook of Numerical Analysis Vol. XVIII, edited by Abgrall & Shu,  North Holland (2017)  view PDF

  • Barsukow, W.,  Edelmann, P., Klingenberg, C., Miczek, F, Röpke, F.: “A numerical scheme for the compressible low-Mach number regime of ideal fluid dynamics”, Journal of Scientific Computing, Volume 72, Issue 2, pp. 623–646, (2017)  view PDF

  • Klingenberg, C., Schnücke, G.., Xia, Y.: “An arbitrary Lagrangian-Eulerian local discontinuous Galerkin method for Hamilton- Jacobi equations”, Journal of Scientific Computing, vol. 86, no. 305, pp. 1203–1232  (2017) view PDF

  • Klingenberg, C., Pirner, M., Puppo, G.: “A consistent kinetic model for a two component mixture with an application to plasma”, Kinetic and Related Models Vol. 10, No. 2, pp. 445–465 (2017), view PDF

  • Klingenberg, C., Schnücke, G.., Xia, Y.: “Arbitrary Lagrangian-Eulerian discontinuous Galerkin method for conservation laws: analysis and application in one dimension” Mathematics of Computations, Vol. 86 (2017) view PDF

  • Klingenberg, C., Pörner, F., Xia, Y.: “An efficient implementation of the divergence free constraint in a discontinuous Galerkin method for magnetohydrodynamics on unstructured meshes”, Communication in Computational Physics, Vol. 21, No. 2, pp. 423-442, (2017) view PDF

  • Touma, R., Koley, U., Klingenberg, C.: “Well-balanced unstaggered central schemes for the Euler equation with gravity”, SIAM J. Sci. Comp. 38, no. 5, pp. B773–B807, (2016) view PDF

  • Sastoque, E., Klingenberg, C., Rendon, L., Juajibioy, J.: 2016: “Regularity of viscous solutions for a degenerate non-linear Cauchy problem”, J. Part. Diff. Eq., Vol. 29, No. 1, pp. 14-21 (2016), view PDF

  • Bauer, A., Schaal, K., Springel, V., Chandrashekar, P., Pakmor, R. and Klingenberg, C.: “Simulating turbulence using the discontinuous Galerkin code TENET”, Lecture Notes in Computational Science and Engineering (LNCSE), Springer Verlag (2016)  view PDF

  • Gallego-Valencia, P., Klingenberg, C., Chandrashekar, Praveen: “On limiting for higher order discontinuous Galerkin methods for 2D Euler equations”, Bulletin of the Brazilian Math. Society, New Series, March 2016, Volume 47, Issue 1, pp. 335-345 (2016) view PDF

  • Lu, Yun-guang; Lu, Xue-zhou; Klingenberg, C.; “The Cauchy problem for Multiphase First-Contact Miscible Models with Viscous Fingering”, Nonlinear Analysis, Real World Applications, Volume 27, February 2016, Pages 43–54 view PDF

  • Desveaux, V. Zenk, M. Berthon, B. and Klingenberg, C.; 2016: Well-balanced schemes to capture non-explicit steady states on the Euler equation with a gravity, “International Journal for Numerical Methods in Fluids”, Volume 81, Issue 2, pp. 104–127, (2016) view PDF

  • Desveaux, V., Zenk, M., Berthon, C., Klingenberg, C.: Well balanced schemes to capture non-explicit steady states: Ripa model, Mathematics of Computation, Volume 85, Number 300, July 2016  view PDF

  • Chandrashekar, Praveen;  Klingenberg, Christian: “Entropy stable finite volume scheme for ideal compressible MHD on 2-d cartesian meshes”, SIAM Journal on Numerical Analysis, Vol. 54, No. 2, pp. 1313–1340 (2016)   view PDF

  • Schaal, K., Bauer, A., Chandrashekar, Praveen, Pakmor, R., Klingenberg,C., Springel, V.: “Astrophysical hydrodynamics with a high-order discontinuous Galerkin scheme and adaptive mesh refinement”, Monthly Notices Royal Astronomical Society (2015) view PDF

  • Touma, R., Klingenberg, C.: “Well-balanced central finite volume methods for the Ripa system”,  Applied Numerical Mathematics, 97 (2015) view PDF

  • Chandrashekar, Praveen;  Klingenberg, Christian; 2015: “A second order well-balanced finite volume method for the Euler equations with a gravity”, SIAM Journal on Scientific Computing, 37(3), B382–B402. (21 pages) (2015) view PDF

  • Klingenberg, C., Koley, U., Lu, Y, Lu, X.: 2015: Decay rate of degenerate convection diffusion equations in both one and several Space dimensions,  Acta Mathematica Scientia, 35B(2) view PDF

  • Gallego, J., Löbbert, J, Bastian, P., Müthing, S., Klingenberg, C., Xia, Y.: Implementating a discontinuous Galerkin method for the compressible, inviscid Euler equations in the DUNE framework, Proceedings in Applied Mathematics and Mechanics, Vol. 14,1 (2014) view PDF

  • Lu, Y., Klingenberg, C., Rendon, L., Sheng, De-Yin: Global solutions for a simplified shallow elastic fluids model, Abstract and Applied Analysis, Feb. 2014  view PDF

  • Desveaux, V. Zenk, M. Berthon, B. and Klingenberg, C.: 2014:  A well-balanced scheme for the Euler equation with a gravitational potential, J. Fuhrmann et al. (eds.), Finite Volumes for Complex Applications VII - Methods and Theoretical Aspects, Springer Proceedings in Mathematics & Statistics 77  view PDF

  • Caicedo, J., Klingenberg, C., Lu, Y., Rendon, L.;: 2014:  Hyperbolic Approximation on System of Elasticity in Lagrangian Coordinates, Natural Sciences, vol. 6, 6  view PDF

  • Klingenberg, C.: 2013: Grand Challenges in Computational Physics, Frontiers in Computational Physics,  vol. 1, view PDF

  • Braxmeier-Even, N., Klingenberg, C.: 2013: Continuous sedimentation in clarifier-thickener units: modeling macroscopic conservation laws from microscopic interacting particles, International Journal of Numerical Analysis & Modeling, Series B, Vo. 4, No. 3  view pdf

  • Klingenberg, C., Koley, U.: An error estimate for viscous approximate solutions to degenerate anisotropic convection-diffusion equations, AIMS Series on Applied Mathematics

  • Volume 8, Proceedings of the Fourteenth International Conference on Hyperbolic Problems held in Padova 2012, view PDF

  • Hill, A., Joung, M., Mac Low, M., Benjamin, R., Haffner, L., Klingenberg, C., Waagan, K.: 2013, Erratum: Vertical structure of a supernova-driven turbulent, magnetized interstellar medium, to be published in Astrophysics J.   view PDF

  • Klingenberg, C., Montero, J., Rendón, L.: 2013: Compensated compactness for hyperbolic system of balance laws with three equations, Boletín de Matemáticas, Vol 20, N 1,  June 2013. 13-20 view PDF

  • Hill, A., Joung, M., Mac Low, M., Benjamin, R., Haffner, L., Klingenberg, C., Waagan, K.: 2012, Vertical structure of a supernova-driven turbulent, magnetized interstellar medium, Astrophysics J. 750:104   view PDF

  • Klingenberg, C, Rendón, L.: 2012: Hölder Estimates of Solutions to a Degenerate Diffusion Equation. preprint

  • Hill, A., Joung, M., Benjamin, R., Haffner, L., Klingenberg, C., Mac Low, M., Waagan,K., Wood. K.: 2011: MHD Simulations of supernovae-driven ISM and Warm ionized medium, Bulletin of the American Astronomical Society, 43   view PDF

  • Mac Low, M., Hill, A., Joung, M., Waagan, K., Klingenberg, C., Wood,K., Benjamin, R., Federrath, C., Haffner, L.: 2011, MHD simulations of a supernova-driven ISM and the warm ionized medium using a positivity preserving ideal MHD scheme, Astronomical Society of the Pacific  view PDF

  • Waagan, K., Federrath, C., Klingenberg, C.: 2011, A robust numerical scheme for highly compressible magnetohydrodynamics: nonlinear stability, implementation and tests, J. Comput. Phys. 230, no. 9  view PDF

  • Pfannes, J., Schmidt, W., Niemeyer, J. Klingenberg, C.: 2010 Thermonuclear explosions of rapidly rotating white dwarfs, Astronomy and Astrophysics 509, A75  view PDF

  • Lu, Y., Peng, Y., Klingenberg, C.: 2010, Existence of global solutions to isentropic gas dynamics equations with a source term, Sci. China Math. 53(1): 115–124   view PDF

  • Klingenberg, C., Waagan, K.: 2010, Relaxation solvers for ideal MHD equations—a review, Acta Math. Sci. Ser. B Engl. Ed. 30, No. 2  view PDF

  • Bouchut, F., Klingenberg, C., Waagan, K.: 2010, A multiwave approximate Riemann solver for ideal MHD based on relaxation II: numerical implementation with 3 and 5 waves. Numer. Math. 115, no. 4  view PDF

  • Lu, Y., Klingenberg, C.: 2009, Singular limits for inhomogeneous equations of elasticity, Acta Math. Sci. Ser. B Engl. Ed. 29, no. 3   view PDF

  • Bouchut, F., Klingenberg, C., Waagan, K.: 2009, An approximate Riemann solver for ideal MHD based on relaxation. Hyperbolic problems: theory, numerics and applications, 439–443, Proc. Sympos. Appl. Math., 67, part 2, Amer. Math. Soc., Providence, RI

  • Chen, G.Q., Even, N., Klingenberg, C,: 2008, Hyperbolic conservation laws with discontinuous fluxes and hydrodynamic limit for particle systems, J. Differential Equations 245, no. 11  view PDF

  • Chen, G.Q., Even, N., Klingenberg, C.: 2007, Entropy solutions to conservation laws with discontinuous Fluxes via microscopic interacting particle systems, Stochastic Analysis and Partial Differential Equations, Contemp. Math. Vol. 429, Amer. Math. Soc., RI

  • Klingenberg, C, Schmidt, W., Waagan, K.: 2007, Numerical comparison of Riemann solvers for astrophysical hydrodynamics, J. Comput. Phys. 227, No. 1, 12-35   view PDF

  • Bouchut, F., Klingenberg, C., Waagan, K.: 2007, A multiwave approximate Riemann solver for ideal MHD based on relaxation. I: Theoretical framework., Numer. Math. 108, No. 1, 7-42 view PDF

  • Klingenberg, C.: 2007, Numerical Astrophysics Splinter meeting E, Astronomische Nachrichten Vol. 328, No. 7  view PDF

  • Klingenberg, C., Niemeyer, J. C., Schmidt, W., 2005 Modeling Turbulent Deflagrations in Type Ia Supernovae, Nuclear Physics A 758, 431c- 438c  view PDF

  • Klingenberg, C., Niemeyer, J. C., Schmidt, W., 2005 The FEARLESS Cosmic Turbulence Projects, Ringberg Proceedings on Interdisciplinary Aspects of Turbulence, MPA/P15, 175-181 view PDF

  • Klingenberg, C., Jabin, P.E.,: 2005, Existence of solutions to an inhomogeneous, kinetic model of droplet coalescence, Nonlinear partial differential equations and related analysis,       181-192, Contemp. Math. Vol. 371, Amer. Math. Soc., RI  view PDF

  • Klingenberg, C., Schütz, G., Tóth, B.: 2005, Mini-workshop: Particle Systems with Several Conservation Laws: Fluctuations and Hydrodynamic Limit, Oberwolfach Reports. Vol. 2, no. 2

  • Brandenburg, A., Klingenberg, C. Waagan, K.: 2005 The reality of the compound solutions in magnetohydrodynamics, Computational Problems in Physics, Helsinki, ed. Eirola et.al.  view PDF

  • Niemeyer, J., Schmidt, W., Klingenberg, C., Maier, A., Pfannes, J.: 2005, The Birth, Life, and Death of Flames and Detonations in SNe Ia, Bulletin of the American Astronomical Society, Vol. 37

  • Grosskinsky, S., Klingenberg, C., Oelschläger: 2004, A rigorous derivation of Smoluchowski’s equation in the moderate limit, Stochastic Analysis and Applications, Vol. 22, No. 1, pp. 113-141 view PDF

  • Bedjaoui, N., Klingenberg, C., LeFloch, P.: 2004, On the Validity of the Chapman-Enskog Expansion for shock waves with small strength, Portugaliae Mathematica, Vol. 61, No. 4   view PDF

  • Lu, Y., Klingenberg, C.: 2004 Viscosity and relaxation approximations for a hyperbolic-elliptic mixed type system, Proc. Amer. Math. Soc. 132, no. 5

  • Bürger, R., Karlsen, K., Klingenberg, C., Risebro, N.H. : 2003, A front tracking approach to a model of continuous sedimentation in ideal clarifier thickener units, Nonlinear Analysis: Real World Applications, vol 4, pp. 457 - 481  view PDF

  • Karlsen, K., Klingenberg, C., Risebro, N.H.: 2003, A relaxation scheme for conservation laws with discontinuous coefficients, Math. Comp., Vol 73, No. 247. pp. 1235-1259  view PDF

  • Klingenberg, C., Lu Y.: 2003 Viscosity and Relaxation Approximations for Hyperbolic-Elliptic Mixed Type System, Proc. AMS, Vol. 132,No. 5 pp. 1305 - 1309   view PDF

  • Klingenberg, C., Lu, Y.: 2003 A mixed type system of three equations modeling reactive flow Proc. AMS, Vol. 131, No. 11, pp. 3511-3516   view PDF

  • Karlsen, K., Klingenberg, C., Risebro, N.H. : 2003, Relaxation schemes for conservation laws with discontinuous coefficients, numerical implementation, Hyperbolic problems: Theory, numerics, applications. Proceedings of the ninth international conference on hyperbolic problems, Pasadena, CA, USA, March 25–29, 2002. Berlin: Springer. 611-620

  • Klingenberg, C., Lu, Y., Zhao H.: 2003 L1 singular limit for relaxation and viscosity approximations of extended traffic flow models, Electronic Journal of Differential Equations, Vol. 2003, No. 23, pp. 1–11  view PDF

  • Klingenberg, C., Lu, Y., Rendon, L.: 2003 Global Lipshitz-continuous Solutons of Isentropic Gas Dynamics, Applicable Analysis, Vol. 82, No. 1, pp. 35-43 view PDF

  • Klingenberg, C. Coquel, F., Pabst, D.: 2002, Solving the Euler equations for high mach number flow, European Series in Applied and Industrial Math. Proc.

  • Klingenberg, C. : 2002, Computing reactive flow on a coarse grid, Trans. Nanjing Univ. Aeronautics & Astronautics, Vol. 18

  • Klingenberg, C., Yorke, H. : 2002, Using a Roe solver for simulating astrophysical jets, Proc. of the Phil Roe symposium, in Arcachon, France 1998

  • Klingenberg, C., Mitesser, O.: Micro- and macroscopic models of traffic flow. Discrete modeling and discrete algorithms in continuum mechanics (Braunschweig, 2000), 152–156, Logos, Berlin, 2001

  • Klingenberg, C., Risebro, N. : 2001, Stability of a resonant system of conservation laws modeling polymer flow with gravitation, Journal of Differential Equations, vol. 170, 2, pp. 344-380  view PDF

  • Klingenberg, C., Lu, Y. : 2001, The relaxation limit for systems of Broadwell type, Differential and Integral Equations, vol. 14, 1  view PDF

  • Klingenberg, C., Risebro, N.H. : 1995, Convex conservation laws with discontinuous coefficients, existence, uniqueness, asymptotic behaviour, Comm. P.D.E., vol. 20, no. 11/12  view PDF

  • Klingenberg, C., Lu, Y. : 1996, Cauchy problem for systems of conservation laws with a relaxation term, Proc. Roy. Soc. Edinb., series A, vol. 126  view PDF

  • Klingenberg, C., Lu, Y. : 1996, The Cauchy problem for hyperbolic conservation laws with three equations, Journ. Math. Anal. Appl., vol. 202 view PDF

  • Klingenberg, C., Lu, Y. : 1996, Existence of solutions to resonant systems of conservation laws, Proc. 5th Meet. Hyp. Probl., World Sci.  view PDF

  • Klingenberg, C., Lu, Y.: 1996, The Cauchy problem for conservation laws with relaxation terms, Matematica Contemporanea, vol. 11

  • Klingenberg, C., Lu, Y. : 1997, Existence to solutions to hyperbolic conservation laws with a source, Comm. Math. Physics, vol. 187, nr. 2   view PDF

  • Klingenberg, C., Lu, Y. : 1998, The vacuum case in Diperna’s paper, Journ. Math. Anal. Appl., vol. 225, pp. 679-684   view PDF

  • Klingenberg, C., Lu, Y. : 1999, Systems of Broadwell type, Intern. Ser. Num. Math. (Birkh.), vol. 130 pp. 553-557

  • Back, R., Klingenberg, C. : 1999 Numerical methods for multi-fluid Euler equations and its application to an astrophysical jet, Models of Continuum Mechanics in Analysis and Engineering (Shaker)

  • Klingenberg, C., Plohr, B. : 1991, An introduction to front tracking, IMA Vol. in Math. and Appl., vol. 29, Springer  view PDF

  • Klingenberg, C. : 1991, On shock tracking for hyperbolic conservation laws, Math. & Num. Asp. Wave Prop., SIAM

  • Klingenberg, C., Zhu, Y.: 1991, On the stability of an initial moving-boundary value problem, Proc. 3rd Meet. Hyp. Probl., Student Litt., Uppsala

  • Klingenberg, C. : 1991, Front tracking for hyperbolic conservation laws, Usp. Mat. Nauk., vol. 46, no. 6

  • Klingenberg, C. : 1993, Regularity of scalar Riemann problems in two space dimensions, Notes on Num. Fluid Mech., vol. 43 view PDF

  • Klingenberg, C., Mao, D.K. : 1994, The total variation decreasing property of conservative front tracking, Math. Comput. Modelling, vol. 20, no. 10/11  view PDF

  • Klingenberg, C. : 1984, Temporal stability of the Stewartson triple deck, Comm. Amer. Aero. Soc.

  • Glimm, J., Klingenberg, C. et. al. : 1985, Front tracking, a conference report, Trans. 2nd Army Conf. Appl. Math., SIAM  view PDF

  • Glimm, J., Klingenberg, C. et. al. : 1985, Front tracking and two dimensional Riemann problems, Adv. Appl. Math., vol. 6   view PDF

  • Klingenberg, C. : 1986, Hyperbolic conservation laws in two space dimensions, Notes on Num. Fluid Mech., Vol. 13

  • Klingenberg, C. : 1986, Hyperbolic conservation laws: some numerical and theoretical results, Rep. Inst. Mittag-Leffler No. 2

  • Hsiao, Ling, Klingenberg, C.: 1986, The structure of the solutions for the two dimensional Riemann problem, preprint SFB 123, University of Heidelberg

  • Klingenberg, C. : 1988, Two dimensional Riemann problems and its applications, Notes on Num. Fluid Mech., Vol. 20

  • Klingenberg, C., Osher, S. : 1988, Nonconvex scalar conservation laws in one and two space dimensions, Notes on Num. Fluid Mech., Vol. 24 view PDF

  • Klingenberg, C. : 1983, Stability of triple deck flow, PhD thesis, Courant Institute, New York University

  • Klingenberg, C. : 1992, On the two dimensional Riemann problem for scalar conservation laws, Habilitation, preprint SFB 123, no. 665, University of Heidelberg