A Finite Volume Implicit Euler Scheme for the Linearized Shallow Water Equations: Stability and Convergence

DOI10.1080/01630560600882657zbMath1151.76532OpenAlexW2034713232MaRDI QIDQ3422779

Du Pham, Karine Adamy

Publication date: 14 February 2007

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560600882657

zbMATH Keywords

stabilityconvergencefinite volumesimplicit Euler schemelinearized shallow water equations

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite volume methods applied to problems in fluid mechanics (76M12) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (5)

Unnamed Item ⋮ Unnamed Item ⋮ Finite volume multilevel approximation of the shallow water equations ⋮ Unnamed Item ⋮ Validation of a 2D cell-centered finite volume method for elliptic equations

Cites Work

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• Boundary conditions for the 2D linearized PEs of the ocean in the absence of viscosity
• Local boundary conditions for dissipative symmetric linear differential operators
• Numerical time schemes for an ocean-related system of PDEs

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