Cubic spline collocation method for the shallow water equations on the sphere

DOI10.1006/jcph.2002.7075zbMath1130.86301OpenAlexW2066074529MaRDI QIDQ697738

Anita T. Layton

Publication date: 17 September 2002

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcph.2002.7075

zbMATH Keywords

finite elementshallow water equationsleapfrog schemecollocation methodscubic splinesspherical coordinatessemi-implicit schemenumerical weather prediction

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Meteorology and atmospheric physics (86A10) Computational methods for problems pertaining to geophysics (86-08)

Related Items

Modified nodal cubic spline collocation for elliptic equations, Method of moving frames to solve the shallow water equations on arbitrary rotating curved surfaces, A Fourier finite volume element method for solving two-dimensional quasi-geostrophic equations on a sphere, A Galerkin method with spherical splines for the shallow water equations on a sphere: error analysis, A finite volume method on general surfaces and its error estimates

Uses Software

• chammp

Cites Work

• A standard test set for numerical approximations to the shallow water equations in spherical geometry
• A practical guide to splines
• Spectral transform solutions to the shallow water test set
• On the convergence of odd-degree spline interpolation
• On error bounds for spline interpolation
• Error Bounds for Interpolating Cubic Splines Under Various End Conditions
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