Boundary integral equation methods recast partial differential equations into integral equations over domain boundaries, reducing dimensionality and focusing computational effort on interfaces. These ...

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 ...

Integral equations in various scientific theories and their relation to differential equations. Methods of solving linear problems with Hilbert Schmidt, Cauchy, and Wiener-Hopf type kernels; ...

Electromagnetic scattering theory addresses how waves interact with objects and media, underpinning applications from radar and wireless communications to biomedical imaging and nanophotonics.