Trigonometric Collocation Methods with Product Integration for Boundary Integral Equations on Closed Curves

Autor:	J. Saranen, G. Vainkko
Rok vydání:	1996
Předmět:	Numerical Analysis Computational Mathematics Collocation Discretization Rate of convergence Applied Mathematics Collocation method Mathematical analysis Trigonometry Integral equation Numerical integration Mathematics Exponential function
Zdroj:	SIAM Journal on Numerical Analysis. 33:1577-1596
ISSN:	1095-7170 0036-1429
DOI:	10.1137/s0036142994266273
Popis:	Considering boundary integral equations on smooth closed curves the product integration methods have turned out to be very efficient to define fully discrete schemes with a high convergence rate. Here we give a general approach to product integration methods in connection with the trigonometric collocation. The discretization scheme has arbitrarily high convergence rate, even exponential if the solution and the curve are analytic. Applications and numerical experiments confirming our theoretical results are discussed.
Databáze:	OpenAIRE
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