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 ...

Boundary integral equations (BIEs) have emerged as a powerful framework for modelling wave propagation, particularly in problems defined over unbounded or complex domains. By reformulating partial ...

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 ...

Electrochemical modelling lies at the heart of understanding and predicting complex phenomena in systems ranging from energy storage devices to sensors. The field employs advanced mathematical ...

This is a preview. Log in through your library . Abstract Many boundary integral equation methods used in the simulation of direct electromagnetic scattering of a time-harmonic wave at a perfectly ...

My general research interests are in Computational Fluid Dynamics and Low Reynolds Number Hydrodynamics. Currently, I am working on developing integral equation methods to solve the Stokes and the ...