Uniformly high order accurate essentially non-oscillatory schemes, 111
Journal of Computational Physics
Efficient implementation of essentially non-oscillatory shock-capturing schemes
Journal of Computational Physics
Numerical experiments on the accuracy of ENO and modified ENO schemes
Journal of Scientific Computing
High order filtering methods for approximating hyperbolic systems of conservation laws
Journal of Computational Physics
On essentially non-oscillatory schemes on unstructured meshes: analysis and implementation
Journal of Computational Physics
Weighted essentially non-oscillatory schemes
Journal of Computational Physics
Journal of Computational Physics
On Families of Pointwise Optimal Finite Volume ENO Approximations
SIAM Journal on Numerical Analysis
Weighted essentially non-oscillatory schemes on triangular meshes
Journal of Computational Physics
Digital Total Variation Filtering as Postprocessing for Radial Basis Function Approximation Methods
Computers & Mathematics with Applications
Hi-index | 0.00 |
Modern numerical approximations of conservation laws rely on numerical dissipation as a means of stabilization. The older, alternative approach is the use of central differencing with a dose of artificial dissipation. In this paper we review the successful class of weighted essentially non-oscillatory finite volume schemes which comprise sophisticated methods of the first kind. New developments in image processing have made new devices possible which can serve as highly nonlinear artificial dissipation terms. We view artificial dissipation as discrete filter operation and introduce several new algorithms inspired by image processing.