New More Efficient A-WENO Schemes

Shaoshuai Chu; Alexander Kurganov; Ruixiao Xin

New More Efficient A-WENO Schemes

Numerical Analysis 2025-05-26 v2 Numerical Analysis

Authors: Shaoshuai Chu , Alexander Kurganov , Ruixiao Xin

Abstract

We develop new more efficient A-WENO schemes for both hyperbolic systems of conservation laws and nonconservative hyperbolic systems. The new schemes are a very simple modification of the existing A-WENO schemes: They are obtained by a more efficient evaluation of the high-order correction terms. We conduct several numerical experiments to demonstrate the performance of the introduced schemes.

Keywords

weno scheme numerical schemes for partial differential equations

Cite

@article{arxiv.2503.10221,
  title  = {New More Efficient A-WENO Schemes},
  author = {Shaoshuai Chu and Alexander Kurganov and Ruixiao Xin},
  journal= {arXiv preprint arXiv:2503.10221},
  year   = {2025}
}

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