Numerical methods for integral equations

Applied Mathematics and Computation, 2011
The paper is devoted to the construction and investigation of numerical methods for two-dimensional Fredholm integral equations on a square. The problem is considered in a weighted setting, allowing the given functions and the unknown solutions to have weak singularities at the boundaries of the fundamental domain. Two concrete approaches are followed,
Donatella Occorsio, Maria Grazia Russo
exaly +5 more sources

Numerical Methods for Fredholm Integral Equations

Weighted Polynomial Approximation and Numerical Methods for Integral Equations, 2021
There exists a huge literature on numerical methods for Fredholm integral equations of second kind, where I is a bounded or unbounded interval. The Nystrom method is a very famous method and based on an appropriate quadrature rule applied to the integral and on considering the integral equation in the space of (bounded) continuous functions on I.
Peter Junghanns +2 more
openaire +3 more sources

A Survey of Numerical Methods for Integral Equations

1979
A brief survey of the existing literature on numerical methods for integral equations is given. Emphasis is placed on equations in one unknown, although it is noted that many methods can be carried over to multidimensional equations as well. Some discussion is presented on the relation of numerical analysis to applications, and areas are delineated for
M. Golberg
openaire +2 more sources

mathematics
engineering
computer science

volterra integral equations
fredholm integral equations
other nonlinear integral equations

convergence
numerical examples
physics