Stability and Accuracy of Semi-discretized Finite Difference Methods

DOI10.1093/imanum/4.3.289zbMath0553.65060OpenAlexW2149712123MaRDI QIDQ3216067

R. A. Williamson, Arieh Iserles

Publication date: 1984

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/4.3.289

zbMATH Keywords

stabilityaccuracyadvection equationsemi-discretized finite-difference schemes

Mathematics Subject Classification ID

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) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (6)

Stability and accuracy for implicit semidiscretizations of hyperbolic problems ⋮ ORDER STARS AND THE OPTIMAL ACCURACY OF STABLE, EXPLICIT DIFFERENCE SCHEMES ⋮ Order stars and rational approximants to exp(z) ⋮ Rational approximants and numerical methods for initial-value problems ⋮ A proof of the first Dahlquist barrier by order stars ⋮ Stability and accuracy of difference schemes for hyperbolic problems

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