The large discretization step method for time-dependent partial differential equations

DOI10.1016/S0045-7930(98)00045-0zbMath0972.76074OpenAlexW2041506668WikidataQ127914486 ScholiaQ127914486MaRDI QIDQ1973758

Shlomo Ta'asan, Zigo Haras

Publication date: 13 November 2001

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7930(98)00045-0

zbMATH Keywords

coarse gridfine gridhyperbolic equationscorrection termshigh-accuracy discrete approximationlarge discretization step approximationlow-accuracy schemestime-dependent differential operator

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Gas dynamics (general theory) (76N15) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Cites Work

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• Finite difference schemes for long-time integration
• Instability of difference models for hyperbolic initial boundary value problems
• Group Velocity in Finite Difference Schemes
• Three-Dimensional Adaptive Mesh Refinement for Hyperbolic Conservation Laws
• The Theoretical Accuracy of Runge–Kutta Time Discretizations for the Initial Boundary Value Problem: A Study of the Boundary Error

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