High resolution well-balanced compact implicit numerical scheme for numerical solution of the shallow water equations

DOI10.1007/978-3-031-55264-9_20MaRDI QIDQ6613556

Peter Frolkovič, Michal Žeravý

Publication date: 2 October 2024

zbMATH Keywords

finite difference methodshallow water equationscompact implicit scheme

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Numerical analysis (65-XX)

Cites Work

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• An approximate Lax-Wendroff-type procedure for high order accurate schemes for hyperbolic conservation laws
• Implicit and semi-implicit well-balanced finite-volume methods for systems of balance laws
• Well-balanced high-order finite difference methods for systems of balance laws
• Implicit fast sweeping method for hyperbolic systems of conservation laws
• High order finite difference WENO schemes with the exact conservation property for the shallow water equations
• Well-balanced adaptive compact approximate Taylor methods for systems of balance laws
• Quinpi: integrating conservation laws with CWENO implicit methods
• High resolution compact implicit numerical scheme for conservation laws

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