A Dispersion Analysis for Difference Schemes: Tables of Generalized Airy Functions

DOI10.2307/2006343zbMath0387.65002OpenAlexW4238167275MaRDI QIDQ4167962

G. W. Hedstrom, Raymond C. Y. Chin

Publication date: 1978

Full work available at URL: https://doi.org/10.2307/2006343

Mathematics Subject Classification ID

Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Other special functions (33E99) Tables in numerical analysis (65A05)

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Uses Software

• GEAR
• SHASTA

Cites Work

• Unnamed Item
• The modified equation approach to the stability and accuracy analysis of finite-difference methods
• Dispersion and Gibbs phenomenon associated with difference approximations to initial boundary-value problems for hyperbolic equations
• A method for reducing dispersion in convective difference schemes
• The special functions and their approximations. Vol. I, II
• Models of Difference Schemes for u t + u x = 0 by Partial Differential Equations
• Flux-corrected transport. I: SHASTA, a fluid transport algorithm that works