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A Proof of the Stability of the Spectral Difference Method for All Orders of Accuracy
Spectral Difference Method Accuracy
2015/6/23
One of the most promising approaches is the
Discontinuous Galerkin (DG) method, for which the theoretical basis has been provided in
a series of papers by Cockburn and Shu [1, 2, 3, 4]. The rapid gr...
The Upwind Finite Difference Fractional Steps Method for Nonlinear Coupled System of Dynamics of Fluids in Porous Media
Convergence coupled system multilayer dynamics of fluids in porous media nonlinear equations upwind finite difference fractional steps method
2007/12/10
摘要 For nonlinear coupled system of multilayer dynamics of fluids in porous media, the second order and first order upwind finite difference fractional steps schemes applicable to parallel arithmetic a...
A coupled system of singularly perturbed convection-diffusionequations is considered. The leading term of each equation ismultiplied by a small positive parameter, but these parameters mayhave differe...
We are concerned with I.V.P for the isentropic equations of gas dynamics(1) ρ_t+(ρu)_x=0,(ρu)_t+(ρu~2+p)_x=0,(2) (ρ,u)|_(t=0)=(ρ_0(x),u_0(x)), where ρ=(ρ~r)/r, 2in the commutativity relat...