Electromagnetic integral equations offer a powerful framework for modelling wave propagation and scattering phenomena by recasting Maxwell’s equations into formulations involving integrals over ...

The boundary element method (BEM) provides a robust framework for solving linear partial differential equations by transforming the problem domain into integrals over its boundary. This technique is ...

Studies properties and solutions of partial differential equations. Covers methods of characteristics, well-posedness, wave, heat and Laplace equations, Green's functions, and related integral ...

Numerical solution of Fredholm and Volterra integral equations. Boundary integral equations. Greens functions. Boundary element and singularity methods. Vortex methods. Free boundary problems.

For the integral equation $\mathrm{u}\left(\mathrm{x}\right)={\int }_{0}^{1}\mathrm{K}(\mathrm{x},\mathrm{y})\times \mathrm{u}\left(\mathrm{y}\right)\mathrm{d}\mathrm ...