AWhat changed
Godunov constructs conservative gas-dynamics updates from local discontinuity-resolution problems and proves a linear monotonicity/order barrier, while the paper’s nonlinear limit and stability claims retain explicit convergence and time-step conditions.
Scientific scope
Godunov constructs conservative gas-dynamics updates from local discontinuity-resolution problems and proves a linear monotonicity/order barrier, while the paper’s nonlinear limit and stability claims retain explicit convergence and time-step conditions. The finite-volume scheme evolves the stated conservation laws using local Riemann problems and stability restrictions. Exact local resolution does not by itself prove convergence for every nonlinear multidimensional system or arbitrary discontinuous data. Boundary treatment, time step and thermodynamic model are part of the algorithm. Later high-order and approximate solvers 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
- S. K. Godunov · SCIENCE: Original source-listed scientific author of this scoped work; byline does not determine effort fractions.
- S. K. Godunov 1959: complete Englishtranslation by I. Bohachevsky, HALv 1 SG 1959
- Math Netoriginal 1959 Russianpublisherbibliographicidentity/soleauthor
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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