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We present a novel Galerkin method for solving partial differential equations on the sphere.
Spherical Harmonics
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Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind
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The operational global icosahedral-hexagonal gridpoint model GME: Description and high-resolution tests
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A guide to RBF-generated finite differences for nonlinear transport: shallow water simulations on a sphere
N. Flyer, E. Lehto, S. Blaise, G. B. Wright, and A. St-Cyr · 2012
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Polyharmonic and Related Kernels on Manifolds: Interpolation and Approximation
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Multiscale RBF collocation for solving PDEs on spheres
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The refined Sobolev scale, interpolation, and elliptic problems
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http://math.boisestate.edu/~wright/quad_weights/
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Localized bases for kernel spaces on the unit sphere
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