Electrical engineering

Numerical stability

Theory of computation

Mathematics

Nyström method

Economic growth

Algorithm

Numerical integration

Engineering

Mathematical analysis

Economics

Gaussian quadrature

Integral equation

Convergence (economics)

Numerical analysis

Applied mathematics

Gauss–Jacobi quadrature

Quadrature (astronomy)

Numerical Algorithms

In this paper, the generalized Love integral equation has been considered. In order to approximate the solution, a Nyström method based on a mixed quadrature rule has been proposed. Such a rule is a combination of a product and a “dilation” quadrature formula. The stability and convergence of the described numerical procedure have been discussed in suitable weighted spaces and the efficiency of the method is shown by some numerical tests.

Numerical treatment of the generalized Love integral equation