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New More Efficient A-WENO Schemes

Published: March 13, 2025 | arXiv ID: 2503.10221v2

By: Shaoshuai Chu, Alexander Kurganov, Ruixiao Xin

Potential Business Impact:

Makes computer simulations of fast-moving things more accurate.

Business Areas:
Advanced Materials Manufacturing, Science and Engineering

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.

Page Count
26 pages

Category
Mathematics:
Numerical Analysis (Math)