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Christian Klingenberg

Christian Klingenberg

Overview

Christian Klingenberg is affiliated with the University of Würzburg in Germany and has a strong research focus on engineering and mathematics, with an extensive publication record spanning these fields. Their work broadly encompasses computational mechanics and applied mathematics, with notable contributions to mathematical physics and astronomy and astrophysics. Numerical analysis also represents a significant subfield in their research portfolio.

The scientist's research topics include:

  • Computational Fluid Dynamics and Aerodynamics
  • Navier-Stokes equation solutions
  • Gas Dynamics and Kinetic Theory
  • Fluid Dynamics and Turbulent Flows
  • Advanced Mathematical Physics Problems
  • Advanced Numerical Methods in Computational Mathematics
  • Mathematical Biology Tumor Growth

Klingenberg has frequently published in venues such as:

  • arXiv (Cornell University)
  • SIAM Journal on Mathematical Analysis
  • SIAM Journal on Scientific Computing
  • Applied Mathematics Letters
  • Oberwolfach Reports

Recent papers include:

  • "On oscillatory solutions to the complete Euler system," 2020, Journal of Differential Equations
  • "An all speed second order well-balanced IMEX relaxation scheme for the Euler equations with gravity," 2020, Journal of Computational Physics
  • "Nonuniqueness of Admissible Weak Solution to the Riemann Problem for the Full Euler System in Two Dimensions," 2020, SIAM Journal on Mathematical Analysis
  • "Well-balanced treatment of gravity in astrophysical fluid dynamics simulations at low Mach numbers," 2021, Astronomy and Astrophysics
  • "Kinetic/Fluid Micro-Macro Numerical Scheme for a Two Component Gas Mixture," 2020, Multiscale Modeling and Simulation

The scientist collaborates frequently with peers including Wasilij Barsukow, Marlies Pirner, Qin Li, Yun-guang Lu, and Kathrin Hellmuth, reflecting a networked approach to multidisciplinary research.

Best Publications

  • Convex conservation laws with discontinuous coefficients. existence, uniqueness and asymptotic behavior

    Christian Klingenberg;Nils Henrik Risebro

  • Front tracking and two dimensional Riemann problems

    James Glimm;Christian Klingenberg;Oliver Mcbryan;Bradley Plohr

  • A robust numerical scheme for highly compressible magnetohydrodynamics: Nonlinear stability, implementation and tests

    K. Waagan;C. Federrath;C. Klingenberg

  • A multiwave approximate Riemann solver for ideal MHD based on relaxation. I: theoretical framework

    François Bouchut;Christian Klingenberg;Knut Waagan

  • A multiwave approximate Riemann solver for ideal MHD based on relaxation II: numerical implementation with 3 and 5 waves

    François Bouchut;Christian Klingenberg;Knut Waagan

  • High order direct Arbitrary-Lagrangian-Eulerian schemes on moving Voronoi meshes with topology changes

    Elena Gaburro;Walter Boscheri;Simone Chiocchetti;Christian Klingenberg

  • A Second Order Well-Balanced Finite Volume Scheme for Euler Equations with Gravity

    Praveen Chandrashekar;Christian Klingenberg

  • A front tracking approach to a model of continuous sedimentation in ideal clarifier-thickener units

    R. Bürger;K. H. Karlsen;C. Klingenberg;N. H. Risebro

  • Stability of a Resonant System of Conservation Laws Modeling Polymer Flow with Gravitation

    Christian Klingenberg;Christian Klingenberg;Nils Henrik Risebro;Nils Henrik Risebro

  • Astrophysical hydrodynamics with a high-order discontinuous Galerkin scheme and adaptive mesh refinement

    Kevin Schaal;Kevin Schaal;Andreas Bauer;Praveen Chandrashekar;Rüdiger Pakmor

  • Entropy Stable Finite Volume Scheme for Ideal Compressible MHD on 2-D Cartesian Meshes

    Praveen Chandrashekar;Christian Klingenberg

  • The Riemann Problem for the Multidimensional Isentropic System of Gas Dynamics is Ill-Posed if It Contains a Shock

    Simon Markfelder;Christian Klingenberg

  • High order well-balanced finite volume methods for multi-dimensional systems of hyperbolic balance laws

    Jonas P. Berberich;Praveen Chandrashekar;Christian Klingenberg

  • A well-balanced scheme to capture non-explicit steady states in the Euler equations with gravity

    Vivien Desveaux;Markus Zenk;Christophe Berthon;Christian Klingenberg

  • On oscillatory solutions to the complete Euler system

    Eduard Feireisl;Christian Klingenberg;Ondřej Kreml;Simon Markfelder

  • Well-balanced schemes to capture non-explicit steady states: Ripa model

    Vivien Desveaux;Markus Zenk;Christophe Berthon;Christian Klingenberg

  • A relaxation scheme for conservation laws with a discontinuous coefficient

    Kenneth H. Karlsen;Christian Klingenberg;Nils Henrik Risebro

  • A consistent kinetic model for a two-component mixture with an application to plasma

    Christian Klingenberg;Marlies Pirner;Gabriella Puppo

  • The Riemann problem for the multidimensional isentropic system of gas dynamics is ill-posed if it contains a shock

    Christian Klingenberg;Simon Markfelder

  • A numerical scheme for the compressible low-Mach number regime of ideal fluid dynamics

    Wasilij Barsukow;Philipp V. F. Edelmann;Christian Klingenberg;Fabian Miczek

Frequent Co-Authors

Volker Springel
Volker Springel Max Planck Institute for Astrophysics
Nils Henrik Risebro
Nils Henrik Risebro University of Oslo
Mordecai-Mark Mac Low
Mordecai-Mark Mac Low American Museum of Natural History
Christoph Federrath
Christoph Federrath Australian National University
Kenneth H. Karlsen
Kenneth H. Karlsen University of Oslo
Gui-Qiang Chen
Gui-Qiang Chen University of Oxford
Eduard Feireisl
Eduard Feireisl Czech Academy of Sciences
Michael Dumbser
Michael Dumbser University of Trento
Kenneth Wood
Kenneth Wood University of St Andrews
François Bouchut
François Bouchut Université Gustave Eiffel

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