Extended Gaussian type cubatures for the ball Academic Article

abstract

• 2015 Elsevier B.V. All rights reserved. We construct cubatures that approximate the integral of a function u over the unit ball by the linear combination of surface integrals over the unit sphere of normal derivatives of u and surface integrals of u and ²u over m spheres, centered at the origin. We derive explicitly the weights and the nodes of these cubatures, and show that they are exact for all (2m+2)-harmonic functions.

authors

• Petrova, Guergana

published proceedings

• JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

author list (cited authors)

• Hao, N., & Petrova, G.

citation count

• 3

complete list of authors

• Hao, Nguyen||Petrova, Guergana

publication date

• January 2015

publisher

• Elsevier  Publisher

published in

• Journal of Computational and Applied Mathematics  Journal

keywords

• Extended Cubature Formulae
• Polyharmonic Degree Of Precision
• Polyharmonic Functions

Digital Object Identifier (DOI)

• 10.1016/j.cam.2015.05.010

start page

• 209

end page

• 223

volume

• 290