Krylov Subspace Methods: Iterative techniques for solving high-dimensional linear systems generated from discretised integral equations, renowned for their efficiency in large-scale simulations.

Boundary integral equations (BIEs) complement conformal mappings by transforming partial differential equations defined over an entire domain into integral equations along the boundary.

Imaginary numbers may seem abstract or even whimsical at first, but they are far from being mere mathematical curiosities. In ...

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Solving electromagnetic (EM) integral equations by numerical methods strongly relies on the domain discretization or the use of meshes. Mesh generation is a tedious task, especially for complex ...

The resolvent operator is similar to an evolution operator for nonautonomous differential equations in a Banach space. As in the finite dimensional case, this operator is used to obtain a variation of ...

Generalizations to differential and integral evolution equations and relations to positivity sets for higher-order equations are discussed.

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The discontinuous Galerkin (DG)-based domain decomposition method has been proposed for analyzing complex electromagnetic scattering problems. For targets involving material regions, the electric (J) ...

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