We present a novel approach for high-order accurate numerical differentiation on unstructured meshes of quadrilateral elements. To differentiate given function, an auxiliary function with greater smoothness properties is defined which when differentiated provides the derivatives original function. The method generalises traditional finite difference methods to arbitrary topology in any number d...

This article introduces a new method for discretizing and solving integral equation formulations of Maxwell's equations, which achieves spectral accuracy smooth surfaces. The approach is based on hybrid Nyström-collocation using Chebyshev polynomials to expand the unknown current densities over curvilinear quadrilateral surface patches. As an example, proposed strategy applied magnetic field (M...