Collaboration

The mathematics faculty maintains good relations with four Chinese universities: Shanghai Jiaotong University, Peking University, the Southern University of Science and Technology and Hangzhou Normal University. The relationship with Shanghai Mathematics has existed for twelve years and is based on two projects on 'Kinetic modelling of physical and biological phenomena'. The relationship with Peking University has existed for three years and is based on two projects on 'Structure-preserving methods for magnetohydrodynamics' and 'Advanced Numerical Methods for Nonlinear Hyberbolic Balance Laws and Their Applications'. The collaboration with the Southern University of Science and Technology in Shenzhen has existed for four years and is based on a project on 'Structure-preserving schemes for shallow water equations'. The longest relationship with China is with Hangzhou Normal University, with whom there has been a regular exchange for 25 years. Currently, the University of Würzburg is working with colleagues in Hangzhou on a project on 'Compensated compactness applied to hyperbolic conservation laws'.

Furthermore, Professor Dr Christian Klingenberg is co-PI on a project on 'Advanced Numerical Methods for Nonlinear Hyperbolic Balance Laws and their Applications' supported by the Sino-German Center for Science Promotion. The project, launched in 2019, has a funding period until 2023.

Publications resulting from collaborations with Chinese partners over the last 5 years:

Silu Yin, Xianting Wang, Yun-guang Lu, Christian Klingenberg: "Global solutions of the Cauchy Problem to Euler-Poisson equations of two-carrier types", Applied Mathematics Letters (2022)

Kathrin Hellmuth, Christian Klingenberg, Qin Li, Min Tang: "Multiscale convergence of the inverse problem for chemotaxis in the Bayesian setting", Computation, vol. 9, 119, special issue "Inverse Problems with Partial Data”, ed. by Qin Li, Li Wang and Leonardo Andrés Zepeda Núñez (2021)

Emako, F. Kanbar, C. Klingenberg, M. Tang  “A criterion for asymptotic preserving schemes of kinetic equations to be uniformly stationary preserving”, Kinetic and Related models, vol. 14, no. 5 (2021)

C. Klingenberg; Y. Lu, C. Xue: "Global entropy solutions for systems modelling polymer flooding in enhanced oil recovery", Applied Mathematics Letters, Vol. 122 (2021)

Y. Hu, C. Klingenberg; Y. Lu: "Zero relaxation tine limits to a hydrodynamic model of two carrier types for semicinductors": Mathematische Annalen (2020)

Klingenberg, C; Kurganov, A.; Liu, Y.; Zenk, M..: “Moving-Water Equilibria Preserving HLL-Type Schemes for the Shallow Water Equations”, Communications in Mathematical Research (2020)

Xue, Klingenberg, Lu, Zhang: “Zero relaxation time limits to isothermal hydrodynamic model for semiconductor”, Applied Mathematics Letters, vol. 109 (2020)

C. Klingenberg, Y. Lu, Q. Sun: “Global weak solutions for a nonlinear hyperbolic system”, Acta Mathematica Scientia (2020) 

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)

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)

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, pp. 1203-1232, (2017)

Klingenberg, C., Schnücke, G.., Xia, Y.: “An Arbitrary Lagrangian-Eulerian local discontinuous Galerkin method for Hamilton- Jacobi equations” Journal of Scientific Computating, Vol. 73,  pp. 906-942 (2017)

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)

For further information, please contact: Professor Dr. Christian Klingenberg

 

Computer Sciences

In the past, the University of Würzburg's Computer Sciences conducted two projects in cooperation with Chinese institutions. The first expired in 2021. The second was completed in 2017.

For further information, please contact: Professor Dr. Samuel Kounev