## New High-Resolution Central Schemes for Nonlinear Conservation Laws and Convection-Diffusion Equations (2000)

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by
A. Kurganov
,
E. Tadmor

Venue: | J. Comput. Phys |

Citations: | 100 - 14 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