Energies, group-invariant kernels and numerical integration on compact manifolds

DOI10.1016/j.jco.2008.09.001zbMath1178.41018OpenAlexW2004955530MaRDI QIDQ1023399

Xingping Sun, Jeremy Levesley, David L. Ragozin, Steven B. Damelin

Publication date: 11 June 2009

Published in: Journal of Complexity (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2381/4505

zbMATH Keywords

energyspherical harmonicsphereprojective spacetorusdiscrepancygroupweightRiesz kernelcompact homogeneous manifoldquadrature errorprojection kernelsreflexive manifold

Mathematics Subject Classification ID

Energy minimization in equilibrium problems in solid mechanics (74G65) Approximate quadratures (41A55) Spherical harmonics (33C55)

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Cites Work

• Equivariant embeddings in euclidean space
• On means of distances on the surface of a sphere (lower bounds)
• On means of distances on the surface of a sphere. II: Upper bounds
• Energy functionals, numerical integration and asymptotic equidistribution on the sphere.
• The density of translates of zonal kernels on compact homogeneous spaces
• Minimum imbeddings of compact symmetric spaces of rank one
• On point energies, separation radius and mesh norm for s-extremal configurations on compact sets in \(\mathbb R^n\)
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