AWhat changed
Jiang and Shu develop derivative-based smoothness indicators and efficient finite-difference WENO implementations that recover fifth-order spatial accuracy in regular smooth regions while reducing the contribution of stencils crossing discontinuities.
Scientific scope
Jiang and Shu develop derivative-based smoothness indicators and efficient finite-difference WENO implementations that recover fifth-order spatial accuracy in regular smooth regions while reducing the contribution of stencils crossing discontinuities. The high-order finite-difference reconstruction uses its stencil, smoothness indicators, nonlinear weights and flux/time discretization assumptions. Formal order in smooth regions differs from behavior near critical points or discontinuities. It is not a universal nonoscillation, convergence or optimal-performance guarantee for every conservation law. Later WENO repairs and variants remain separate.
Evidence
Source-linked, scoped account of the original work. The published scope states the scientific assumptions and remaining verification limits. WRS has not independently certified the full proof, experimental result or system benchmark.
Contributors
- Guang-Shan Jiang · SCIENCE: Original source-listed scientific author of this scoped work; byline does not determine effort fractions.
- Chi-Wang Shu · SCIENCE: Original source-listed scientific author of this scoped work; byline does not determine effort fractions.
- Jiang and Shu 1996: Efficient Implementation of Weighted ENO Schemes
- Henrick, Aslam and Powers 2005: Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points
Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.
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