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The new class of schemes is based on a three stage procedure.
Here, we present a class of schemes of any desired order of accuracy which preserve the lake at rest perfectly.
It is an ideal class of schemes for the simulation of multi-scale problems such as aeroacoustics and turbulence.
To this end, we design a new class of "schemes with controled dissipation", following recent work by LeFloch and Mohammadian.
We propose a new class of schemes for such a system for the one-dimensional situations based on nonconservative fluxes preserving the steady-state solutions.
For this particular class of schemes, the TVD property is first proved on a linear model advection equation and then extended to the isentropic Euler case.
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The designing principle of the Hamiltonian preservation by building in the particle behavior at the interface into the numerical flux is used here, and as a consequence we obtain two classes of schemes that allow a hyperbolic stability condition.
The ESIM can be coupled automatically with a wide class of numerical schemes (Lax Wendroff, flux-limiter schemes, etc).
A class of scheduling schemes, namely, the opportunistic scheduling schemes, has been proven to be an effective approach to improve the system throughput by utilizing the multiuser diversity effect [6, 7] in wireless communications.
We then give the results of numerical experiments for our schemes, and we extend the new class of hybrid schemes to solve hyperbolic systems of conservation laws.
For domain decomposition methods using compact scheme in each sub-domain independently, a new class of compact schemes is proposed and specific strategies are developed to remove remaining problems of parallel computing.
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