Collocation methods for solving multivariable integral equations of the second kind (Q442743)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Collocation methods for solving multivariable integral equations of the second kind |
scientific article; zbMATH DE number 6063181
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Collocation methods for solving multivariable integral equations of the second kind |
scientific article; zbMATH DE number 6063181 |
Statements
Collocation methods for solving multivariable integral equations of the second kind (English)
0 references
3 August 2012
0 references
Integral equation of second kind
0 references
the method of collocations
0 references
quadrature method
0 references
The authors construct a method to approximate solving the integral equation of second kind NEWLINE\[NEWLINE \lambda \rho(x)-\int_{R} a(x,y) \rho(y)dy =\psi(x), \qquad x \in{R}, NEWLINE\]NEWLINE where \(R\) is a closed polygonal region in \(\mathbb R^{2}\). This method is based on an interpolatory projection onto a space of piecewise polynomials that are constructed using the triangulation of the domain \(R\). In fact this construction represents a particular case of the known collocation method.
0 references
