New High-Resolution Central Schemes for Nonlinear Conservation Laws and Convection-Diffusion Equations (2000)
by
A. Kurganov
,
E. Tadmor
| Venue: | J. Comput. Phys |
| Citations: | 79 - 12 self |
BibTeX
@ARTICLE{Kurganov00newhigh-resolution,
author = {A. Kurganov and E. Tadmor},
title = {New High-Resolution Central Schemes for Nonlinear Conservation Laws and Convection-Diffusion Equations},
journal = {J. Comput. Phys},
year = {2000},
volume = {160},
pages = {241--282}
}
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Abstract
this paper we introduce a new family of central schemes which retain the simplicity of being independent of the eigenstructure of the problem, yet which enjoy a much smaller numerical viscosity (of the corresponding order )).In particular, our new central schemes maintain their high-resolution independent of O(1/#t ), and letting #t 0, they admit a particularly simple semi-discrete formulation
