Numerical simulation of Camassa–Holm peakons by adaptive upwinding

2005/08/16 by Robert Artebrant, Hans Joachim Schroll · 36 citations
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Applied mathematics #Coastal and Marine Dynamics #Computer simulation #Conservation law #Finite volume method #Geology #Mathematical analysis #Mathematics #Mechanics #Nonlinear Waves and Solitons #Ocean Waves and Remote Sensing #Physics #Shallow water equations #Soliton #Upwind scheme #Viscosity #Waves and shallow water

paper · doi:10.1016/j.apnum.2005.06.002

published in Applied Numerical Mathematics 56(5), 695-711 (Elsevier BV)

openalex publication_date 2005/08/16 · crossref created 2005/08/16 · crossref issued 2006/05/01 · crossref published 2006/05/01 · crossref published-print 2006/05/01 · crossref deposited 2020/04/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28 · crossref indexed 2026/07/28

Citations

• Global Weak Solutions for a Shallow Water Equation
• On the blow-up rate and the blow-up set of breaking waves for a shallow water equation
• Wave breaking for nonlinear nonlocal shallow water equations

Cited by

• Multi-symplectic integration of the Camassa–Holm equation
• A Convergent Finite Difference Scheme for the Camassa–Holm Equation with General H¹ Initial Data
• Camassa–Holm equation [wikipedia]