On well-posed boundary conditions and energy stable finite-volume method for the linear shallow water wave equation

DOI10.1017/s1446181124000191MaRDI QIDQ6656034

Rudi Prihandoko, Kenneth Duru, Stephen G. Roberts, C. Zoppou

Publication date: 31 December 2024

Published in: The ANZIAM Journal (Search for Journal in Brave)

zbMATH Keywords

energy methodfinite volumeboundary conditionnumerical analysisshallow water wave equation

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite volume methods applied to problems in fluid mechanics (76M12) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Ecology (92D40) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

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