AWhat changed
Strang constructs a half-step/full-step/half-step composition that retains second-order accuracy under the stated smoothness and substep assumptions, with conditional stability and cost comparisons for multidimensional difference schemes.
Scientific scope
Strang constructs a half-step/full-step/half-step composition that retains second-order accuracy under the stated smoothness and substep assumptions, with conditional stability and cost comparisons for multidimensional difference schemes. Second-order accuracy concerns a symmetric composition of stated evolution operators with sufficient regularity and controlled local/global error. Noncommuting operators need the stated analysis; stiffness, boundaries and nonsmooth solutions can change behavior. It is not a universal stability or convergence guarantee for every split PDE or arbitrary step size.
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
- Gilbert Strang · SCIENCE: Original source-listed scientific author of this scoped work; byline does not determine effort fractions.
- Gilbert Strang: On the Construction and Comparison of Difference Schemes,1968 original 506-517 publictextmirror
- Gilbert Strang MITbibliography selecteditems 11,12,21
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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