โ Scribed by Andrew L. Zachary; Phillip Colellaz
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
This paper extends the gas-kinetic theory based flux splitting method for ideal magnetohydrodynamics (MHD) equations (K. Xu, 1999, J. Comput. Phys. 153, 334) to multidimensional cases. The kinetic MHD scheme is constructed based on the direct splitting of the macroscopic flux functions with the cons
We present a high-order accurate weighted essentially non-oscillatory (WENO) finite difference scheme for solving the equations of ideal magnetohydrodynamics (MHD). This scheme is a direct extension of a WENO scheme, which has been successfully applied to hydrodynamic problems. The WENO scheme follo
A higher order time differencing method for the spatially nonhomogeneous Boltzmann equation is derived from the integral form of the equation along its characteristic line. Similar to the splitting method, which solves the collisionless equation in the convection step and the spatially homogeneous B
In this paper, we propose a new discontinuous finite element method to solve initial value problems for ordinary differential equations and prove that the finite element solution exhibits an optimal O(Dt p+1 ) convergence rate in the L 2 norm. We further show that the p-degree discontinuous solution