The stability of MacCormack's method for the scalar advection equation

DOI10.1016/0893-9659(91)90176-VzbMath0718.65065MaRDI QIDQ2639611

Burton Wendroff

Publication date: 1991

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

stabilityscalar advection equationMacCormack's method

Mathematics Subject Classification ID

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 (4)

The exact region of stability for MacCormack scheme ⋮ Numerical anisotropy study of a class of compact schemes ⋮ Sufficient stability criteria and uniform stability of difference schemes ⋮ The exact stability region of the MacCormack scheme for the scalar advection equation

Cites Work

• On the numerical radius and its applications
• Symmetric hyperbolic difference schemes and matrix problems
• Phase error and stability of second order methods for hyperbolic problems. I
• Difference schemes for hyperbolic equations with high order of accuracy

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