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Abstract: A numerical method is presented for solving the Poisson equation on bidimensional curvilinear quadrilateral domains. The approach involves using a particular transformation to convert the ...

This paper presents high-order Runge–Kutta (RK) discontinuous Galerkin methods for the Euler–Poisson equations in spherical symmetry. The scheme can preserve a general polytropic equilibrium state and ...

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This work mainly focuses on the numerical solution of the Poisson equation with the Dirichlet boundary conditions. Compared to the traditional 5-point finite difference method, the Chebyshev spectral ...

where c[K +] is the concentration of potassium ions and 15.9 [M] is the maximum concentration of potassium ions (Pack et al., 1999). To account for all causes of relative permittivity variation near a ...

In the first part of this article we expand three fundamental aspects of the methodology connected to the determination of a relation among the spatial density and the gravitational potential that can ...

Abstract: In this letter, we demonstrate that a multiple-input deep neural network architecture can be used for the solution of a one-dimensional (1-D) second-order boundary value problem. We ...

The solution of the Poisson equation is a ubiquitous problem in computational astrophysics. Most notably, the treatment of self-gravitating flows involves the Poisson equation for the gravitational ...

We present an accurate and rapid solution of Poisson’s equation for space-filling, arbitrarily shaped, convex Voronoi polyhedra (VP); the method is O(NVP), where NVP is the number of distinct VP ...