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In previous work by the author, a generalization of Godunov's method for systems of conservation laws has been developed and analyzed that can be applied with arbitrary time steps on arbitrary grids in one space dimension.
Numerical convergence studies on arbitrary grids are presented.
Stable and spectrally accurate numerical methods are constructed on arbitrary grids for partial differential equations.
A second-order Godunov method is proposed for the solution of general systems of conservation laws on arbitrary grids.
The method works for advected passive scalars in either compressible or incompressible flow and on arbitrary grids.
Specifically, we show how to implement Legendre Galerkin, Legendre collocation, and Laguerre Galerkin methodology on arbitrary grids.
Similar(45)
Both exponential and linear stability are rigorously investigated for arbitrary grid spacings and arbitrary inhomogeneous, possibly lossy, isotropic media.
It is shown rigorously that the fully discretized oscillation-free decomposition method on arbitrary adaptive grids is asymptotically stable with a stability index one.
We suggest a new positivity-preserving finite volume scheme for anisotropic diffusion problems on arbitrary polygonal grids.
An unstructured electrostatic Particle-In-Cell (EUPIC) method is developed on arbitrary tetrahedral grids for simulation of plasmas bounded by arbitrary geometries.
In this paper, a Diffusion Synthetic Acceleration (DSA) technique applied to the Sn radiation transport equation is developed using Piece-Wise Linelementsontinuous (PWLD) finite elements on arbitrary polygonal grids.
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