AWhat changed
Lax and Wendroff identify the weak limit of a boundedly convergent conservative difference scheme and construct higher-accuracy difference formulas with artificial-viscosity treatments for shock calculations.
Scientific scope
Lax and Wendroff identify the weak limit of a boundedly convergent conservative difference scheme and construct higher-accuracy difference formulas with artificial-viscosity treatments for shock calculations. The conservation argument requires consistency and convergence of the stated conservative approximations; it does not prove that every such scheme converges. Entropy/admissibility and multidimensional/system behavior need further conditions. The selected report precedes the later published version, and later high-resolution schemes receive separate credit.
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
- Peter Lax · SCIENCE: Original source-listed scientific author of this scoped work; byline does not determine effort fractions.
- Burton Wendroff · SCIENCE: Original source-listed scientific author of this scoped work; byline does not determine effort fractions.
- Peter Lax and Burton Wendroff, Systems of Conservation Laws, LA 2285 — original 1959 distributed report
- Philipp Birken and Viktor Linders, Conservation Properties of Iterative Methods for Implicit Discretizations of Conservation Laws(2022) — selected regularity definition only
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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