On bicompact grid-characteristic schemes for the linear advection equation

DOI10.1134/S1064562415060289zbMath1336.65137MaRDI QIDQ266005

F. Blanchet-Sadri, M. Dambrine

Publication date: 13 April 2016

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

numerical examplelinear advection equationgrid-characteristic schemehybrid compact difference scheme

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) First-order hyperbolic equations (35L02)

Cites Work

• The compact CIP (cubic-interpolated pseudo-particle) method as a general hyperbolic solver
• Higher-order schemes with CIP method and adaptive Soroban grid towards mesh-free scheme.
• Regularization of discontinuous numerical solutions of equations of hyperbolic type
• Monotonic bicompact schemes for linear transport equations
• The construction of difference schemes for hyperbolic equations based on characteristic relations
• Monotonicity criteria for difference schemes designed for hyperbolic equations
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