Theory, Numerics and Applications of Hyperbolic Problems II

Christian Klingenberg is a professor in the Department of Mathematics at Wuerzburg University, Germany. Michael Westdickenberg is a professor at the Institute for Mathematics at RWTH Aachen University, Germany.

• Hu, J., Jin, S. and Shu, R: A Stochastic Galerkin Method for the Fokker-Planck-Landau Equation with Random Uncertainties.- Hu, G., Meng, X. and Tang, T: On Robust and Adaptive Finite Volume Methods for Steady Euler Equations.- Hunter, J. K: The Burgers-Hilbert Equation.- Jaust, A. and Schutz, J: General Linear Methods for Time-Dependent PDEs.- Jiang, Y. and Liu, H: An Invariant-Region-Preserving (IRP) Limiter to DG Methods for Compressible Euler Equations.- Jiang, N: β -Schemes with Source Terms and the Convergence Analysis.- Kabil, B: Existence of Undercompressive Shock Wave Solutions to the Euler Equations.- Karite, T., Boutoulout, A. and Alaoui, F. Z. E: Some Numerical Results of Regional Boundary Controllability with Output Constraints.- Kausar, R. and Trenn, S: Water Hammer Modeling for Water Networks via Hyperbolic PDEs and Switched DAEs.- Kiri, Y. and Ueda, Y: Stability Criteria for Some System of Delay Differential Equations.- Klima, M., Kucharik, M., Shashkov, M. and Velechovsky, J: Bound-Preserving Reconstruction of Tensor Quantities for Remap in ALE Fluid Dynamics.- Klingenberg, C. and Thomann, A: On Computing Compressible Euler Equations with Gravity.- Klingenberg, C., Klotzky, J. and Seguin, N: On Well-Posedness for a Multi-Particle-Fluid Model.- Klingenberg, C., Li, Q. and Pirner, M: On Quantifying Uncertainties for the Linearized BGK Kinetic Equation.- Klingenberg, C., Pirner, M. and Puppo, G: Kinetic ES-BGK Models for a Multi-Component Gas Mixture.- Klingenberg, C., Schnücke, G. and Xia, Y: An Arbitrary Lagrangian-Eulerian Discontinuous Galerkin Method for Conservation Laws: Entropy Stability.- Koellermeier, J. and Torrilhon, M: Simplified Hyperbolic Moment Equations.- Korsch, A: Weakly Coupled Systems of Conservation Laws on Moving Surfaces.- Krankel, M. and Kröner, D: A Phasefield Model for Flows with Phasetransition.- Lambert, W. J., Alvarez, A. C., Marchesin, D. and Bruining, J: Mathematical Theory of Two Phase Geochemical Flow with Chemical Species.- Lee, M-G., Katsaounis, T. and Tzavaras, A. E: Localization of Adiabatic Deformations in Thermoviscoplastic Materials.- LeFloch, P. G: The Global Nonlinear Stability of Minkowski Spacetime for Self-Gravitating Massive Fields.- Magiera, J. and Rohde, C: A Particle-Based Multiscale Solver for Compressible Liquid-Vapor Flow.- Mascia, C. and Nguyen, T. T: Lp-Lq Decay Estimates for Dissipative Linear Hyperbolic Systems in 1D.- Mifsud, C. and Despres, B: A Numerical Approach of Friedrichs’ Systems Under Constraints in Bounded Domains.- Modena, S: Lagrangian Representation for Systems of Conservation Laws: An Overview.- Murti, R., Baskar, S. and Prasad, P: Kinematical Conservation Laws in Inhomogeneous Media.- Offner, P., Glaubitz, J., Ranocha, H. and Sonar, T: Artificial Viscosity for Correction Procedure via Reconstruction Using Summation-by-Parts Operators.- Ohnawa, M: On A Relation Between Shock Profiles and Stabilization Mechanisms in a Radiating Gas Model.- Panov, E. Y: On the Long-time Behavior of Almost Periodic Entropy Solutions to Scalar Conservations Laws.- Pareschi, L. and Zanella, M: Structure Preserving Schemes               for Mean-Field Equations of Collective Behaviour.- Pelanti, M., Shyue, K-M. and Flatten, T: A Numerical Model for Three-Phase Liquid-Vapor-Gas Flows with Relaxation Processes.- Peralta, G: Feedback Stabilization of a Linear Fluid-Membrane System with Time-Delay.- Peshkov, I., Romenski, E. and Dumbser, M: A Unified Hyperbolic Formulation for Viscous Fluids and Elastoplastic Solids.- Pichard, T., Dubroca, B., Brull, S. and Frank, M: On the Transverse Diffusion of Beams of Photons in Radiation Therapy.- Prebeg, M: Numerical Viscosity in Large Time Step HLL-type Schemes.- Ranocha, H., Offner, P. and Sonar, T: Correction Procedure via Reconstruction Using Summation-by-parts Operators.- Ray, D: A Third-Order Entropy Stable Scheme for the Compressible Euler Equations.- Roe, P: Did Numerical Methods for Hyperbolic Problems Take a Wrong Turning?.- Röpke, F. K: Astrophysical Fluid Dynamics and Applications to Stellar Modelling.- Rozanova, O. S. and Turzynsky, M. K: Nonlinear Stability of Localized and Non-localized Vortices in Rotating Compressible Media.- Sahu, S: Coupled Scheme for Hamilton-Jacobi Equations.- Seguin, N: Compressible Heterogeneous Two-Phase Flows.- Shu, C-W: Bound-Preserving High Order Schemes for Hyperbolic Equations: Survey and Recent Developments.- Sikstel, A., Kusters, A., Frings, M., Noelle, S. and Elgeti, S: Comparison of Shallow Water Models for Rapid Channel Flows.- Straub, V., Ortleb, S., Birken, P. and Meister, A: On Stability and Conservation Properties of (s)EPIRK Integrators in the Context of Discretized PDEs.- Wang, T-Y: Compactness on Multidimensional Steady Euler Equations.- Weber, F: A Constraint Preserving Finite Difference Method for the Damped Wave Map Equation to the Sphere.- Yagdjian, K: Integral Transform Approach to Solving Klein-Gordon Equation with Variable Coefficients.- Zakerzadeh, H: Asymptotic Consistency of the RS-IMEX Scheme for the Low-Froude Shallow Water Equations: Analysis and Numeric.- Zakerzadeh, M and May, G: Class of Space-Time Entropy Stable DG Schemes for Systems of Convection-Diffusion.- Zumbrun, K: Invariant Manifolds for a Class of Degenerate Evolution Equations and Structure of Kinetic Shock Layers.