Zobrazeno 1 - 10
of 18
pro vyhledávání: '"Shouguo Qian"'
Publikováno v:
Mathematics, Vol 12, Iss 16, p 2601 (2024)
In this article, we propose a new path-conservative discontinuous Galerkin (DG) method to solve non-conservative hyperbolic partial differential equations (PDEs). In particular, the method here applies the one-stage ADER (Arbitrary DERivatives in spa
Externí odkaz:
https://doaj.org/article/e57d93d1e4024185a6f56b60b2737409
Publikováno v:
Mathematics, Vol 11, Iss 12, p 2604 (2023)
The hyperbolic problem has a unique entropy solution, which maintains the entropy inequality. As such, people hope that the numerical results should maintain the discrete entropy inequalities accordingly. In view of this, people tend to construct ent
Externí odkaz:
https://doaj.org/article/294a75f0a02a409b8d922162039fb442
Publikováno v:
Computers & Mathematics with Applications. 119:340-350
Publikováno v:
Mathematics; Volume 11; Issue 12; Pages: 2604
The hyperbolic problem has a unique entropy solution, which maintains the entropy inequality. As such, people hope that the numerical results should maintain the discrete entropy inequalities accordingly. In view of this, people tend to construct ent
Publikováno v:
Advances in Applied Mathematics and Mechanics.
Publikováno v:
Computational and Applied Mathematics. 40
This article develops a new discontinuous Galerkin (DG) method with the one-stage arbitrary derivatives in time and space approach to solve one-dimensional hyperbolic conservation laws. This method employs the differential transformation procedure in
Publikováno v:
Applied Mathematics and Computation. 329:23-37
Euler equations under gravitational fields often appear in some interesting astrophysical and atmospheric applications. The Euler equations are coupled with gravitational source term due to the gravity and admit hydrostatic equilibrium state where th