Engineers have designed a metamaterial device that can solve integral equations. The device works by encoding parameters into the properties of an incoming electromagnetic wave; once inside, the ...

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

Functions are from $R$ to $N$ or $R \times R$ to $N$, where $R$ denotes the real numbers and $N$ denotes a normed complete ring. If $S, T$ and $G$ are functions from ...

We consider solving integral equations on a piecewise smooth surface S in R3 with a smooth kernel function, using piecewise polynomial collocation interpolation of the surface. The theoretical ...

A new Google Lens feature is on the way that helps students learn math and STEM-related topics. To use the new “Homework” search mode, all you have to do is scan the equation you need help solving. It ...

Conformal mapping, a central concept in complex analysis, involves the transformation of one complex domain onto another while preserving local angles and shapes. This powerful tool has long been used ...

Many dynamic processes can be described mathematically with the aid of stochastic partial differential equations. Scientists have found a new method which helps to solve a certain class of such ...