The exterior solution for an arbitrary charged, massive source, is studied as a static deviation from the Reissner-Nordstrøm metric. This is reduced to two coupled ordinary differential equations for the gravitational and electrostatic potential functions. The homogeneous equations are explicitly solved in the particular case q2 = m2, obtaining a multipole expansion with radial hypergeometric d...

The problem of computing the electrostatic energy of a large molecule is considered. It is reduced to solving the Poisson equation inside the domain and the linear Poisson-Boltzmann equation in the exterior, coupled by boundary conditions. Monte Carlo estimates for the potential point values, their derivatives, and the energy are constructed. These estimates are based on the walk on spheres and...

In this paper the results of a two-dimensional diode emission system based on blade-like field cathode in polar coordinate modeling is presented. The top emitter circle with dielectric coating. anode coaxial to emitter. boundary condition first kind set cathode, and second anode. problem calculating electrostatic potential distribution reduced solving linear algebraic equations constant coeffic...