๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Superconvergence of functional approximation methods for integral equations

โœ Scribed by Guangqing Long; Gnaneshwar Nelakanti

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
380 KB
Volume
22
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.

โœฆ Synopsis

In this work, a functional approximation method for calculating the linear functional of the solution of second-kind Fredholm integral equations is developed. When the method is applied to the collocation method or to the multi-projection method, it generates approximations which exhibit superconvergence.

๐Ÿ“œ SIMILAR VOLUMES

An auxiliary equation method for obtaini
An auxiliary equation method for obtaining superconvergent finite-element approximations
โœ Johnson, Richard W. ;MacKinnon, Robert J. ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› Wiley (John Wiley & Sons) ๐ŸŒ English โš– 405 KB ๐Ÿ‘ 1 views

A finite-element method is developed which improves accuracy and yields superconvergent approximations to two-dimensional elliptic boundary-value problems on a union of square bilinear elements. This method employs an auxiliary equation which is derived using a Taylor series analysis on the discrete

WAVELET METHODS FOR BOUNDARY INTEGRAL EQ
WAVELET METHODS FOR BOUNDARY INTEGRAL EQUATIONS
โœ REN, J. G. ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 155 KB

A wavelet boundary element method (WBEM) for boundary integral equations is presented. A discrete approximating integral equation is derived by expanding the function into a wavelet series. Using a circulant matrix method, the coecient matrix is obtained from the values of the kernel functions on th