piwik-script

English Intern
  • Mathematische Formeln an einer Tafel
Mathematische Strömungsmechanik

Publikationen

  • 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

  • A. Thomann, M. Zenk, G. Puppo, C. Klingenberg, “An all speed second order IMEX relaxation scheme for the Euler equations”, submitted (2019) 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”, 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

  • Sun, Lu, Klingenberg,: “Global weak solutions for a nonlinear hyperbolic system of three equations”, submitted (2019) view PDF

  • C. Klingenberg; Y. Lu, “Global L∞ solutions to systems of isentropic gas dynamics with a moving source term”, 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

  • Baba, Klingenberg, Kreml, Machla, Markfelder: “Non-uniqueness of admissible weak solution to the Riemann problem for the full Euler system in 2D”, (2018)  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

  • Feireisl, E., Klingenberg, C., Kreml, O., Markfelder, S.: “On oscillatory solutions to the complete Euler equations”, submitted (2017) view PDF

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

  • Klingenberg, C., Pirner, P.: “Using a kinetic model to determine transport coefficients of a gas mixture”, preprint, (2017)

  • 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”, accepted in SMAI Journal of Computational Mathematics (2019) view PDF

  • Badwaik, J.,  Chandrashekar, P., Klingenberg, C.: “Single-step Arbitrary Lagrangian-Eulerian discontinuous Galerkin method for 1-D Euler equations”, accepted Communications on Applied Mathematics and Computation (2019)  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 (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

  •  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

  • Guillet, Pakmor, Springel, Chandrashekar, Klingenberg, “High-order Magnetohydrodynamics for Astrophysics with an Adaptive Mesh Refinement Discontinuous Galerkin Scheme”, to be published in 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

  • 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^{\infty} 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”, to appear in Commun. Comput. Phys, (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