Published papers

[7] D. Ling* and S.M. Guo, Unconditionally energy-stable mapped Gegenbauer spectral Galerkin method for diffusive-viscous wave equation in unbounded domainsApplied Mathematics Letters, 148 (2024) 108886. 

[6] D. Ling and H.Z. Tang*, Genuinely multidimensional physical-constraints preserving finite volume schemes for the special relativistic hydrodynamicsCommunications in Computational Physics, 34 (2023) 955-992. 

[5] D. Ling and Z.P. Mao*, Analysis and Hermite spectral approximation of diffusive-viscous wave equations in unbounded domains arising in geophysicsJournal of Scientific Computing, (2023) 95:51.

[4] D. Ling, C.-W. Shu and W.J. Yan*, Local discontinuous Galerkin methods for diffusive-viscous wave equationsJournal of Computational and Applied Mathematics, 419 (2023) 114690. 

[3] D. Ling, J.M. Duan and H.Z. Tang*, Physical-constraints-preserving Lagrangian finite volume schemes for one- and two- dimensional special relativistic hydrodynamicsJournal of Computational Physics, 396 (2019) 507–543.

[2] D. Ling, J. Cheng* and C.-W. Shu, Conservative high order positivity-preserving discontinuous Galerkin methods for linear hyperbolic and radiative transfer equationsJournal of Scientific Computing, 77 (2018) 1801–1831.

[1] D. Ling, J. Cheng* and C.-W. Shu, Positivity-preserving and symmetry-preserving Lagrangian schemes for the compressible Euler equations in cylindrical coordinates, Computers and Fluids, 157 (2017) 112–130.