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An Efficient Direct Method to Solve the Three Dimensional Poisson’s Equation
Poisson’s Equation Finite Difference Method Tri-diagonal Matrix Hockney’s Method Thomas Algorithm
2013/1/30
In this work, the three dimensional Poisson’s equation in Cartesian coordinates with the Dirichlet’s boundary conditions in a cube is solved directly, by extending the method of Hockney. The Poisson e...
Blowup for the C^1 Solutions of the Euler-Poisson Equations of Gaseous Stars in R^N
C^1 Solutions Euler-Poisson Equations Gaseous Stars
2011/2/25
The Newtonian Euler-Poisson equations with attractive forces are the classical models for
the evolution of gaseous stars and galaxies in astrophysics. In this paper, we use the integration method to ...
On Algebraic Structure and Poisson's Theory of Mechanico-electrical Systems
algebraic structure Poisson integral method mechamico-electrical system
2012/8/1
This letter focuses on studying algebraic structure and the Poisson’s theory of mechanico-electrical systems. Based on the relationship between momentum and Hamiltonian, we present Hamilton canonical ...