Gaussian extended cubature formulae for polyharmonic functions

DOI10.1090/S0025-5718-00-01206-0zbMath0965.31007MaRDI QIDQ2701557

Dimitar K. Dimitrov, Borislav D. Bojanov

Publication date: 19 February 2001

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

polyharmonic functionGaussian extended cubature formulapolyharmonic precision order

Mathematics Subject Classification ID

Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Numerical quadrature and cubature formulas (65D32)

Related Items (9)

On the construction of optimal cubature formulae which use integrals over hyperspheres ⋮ Cubature formulae for spheres, simplices and balls. ⋮ Optimal cubature formulas for tensor products of certain classes of functions ⋮ Construction of optimal cubature formulas related to computer tomography ⋮ Reconstruction of polyharmonic functions from samples ⋮ Extended Gaussian type cubatures for the ball ⋮ Cubature formulae associated with the Dunkl Laplacian ⋮ Uniqueness of the Gaussian quadrature for a ball ⋮ Pizzetti's formula for H-type groups

Cites Work

• Representation and uniqueness theorems for polyharmonic functions
• Integration of polyharmonic functions
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