Integration of polyharmonic functions

DOI10.1090/S0025-5718-96-00747-8zbMath0860.31003MaRDI QIDQ4889933

Dimitar K. Dimitrov

Publication date: 11 August 1996

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

zbMATH Keywords

cubature formulasGreen's formulassharp error boundsexplicit representationsintegration of polyharmonic functionspolyharmonic monosplinepolyharmonic order of precision

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Numerical quadrature and cubature formulas (65D32) Higher-order elliptic equations (35J30)

Related Items (5)

Gaussian extended cubature formulae for polyharmonic functions ⋮ 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 ⋮ Pizzetti's formula for H-type groups

Cites Work

• Spline functions, convex curves and mechanical quadrature
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