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 ...

Nonlinear operators with long-distance spatiotemporal dependencies are fundamental in modelling complex systems across sciences; yet, learning these non-local operators remains challenging in machine ...

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

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; ...

Reproducing kernel Hilbert space method is utilized in this paper as an efficient approach to solve singular fourth order ...