A numerical method is described and analyzed for the solution of the exterior Dirichlet problem for the Helmholtz equation in three dimensions. The problem is first reformulated as a Fredholm integral ...

References [1] Investigating algebraic topological method for solving 3D Laplace equation in electrostatic boundary value problems. Computer Physics Communications (2023).

A new method, combining complex analysis with numerics, is introduced for solving a large class of linear partial differential equations (PDEs). This includes any linear constant coefficient PDE, as ...