Numerical approximation of collisional plasmas by high order methods

Numerical approximation of collisional plasmas by high order methods

High order numerical approximation of minimal surfaces

preprint numerics no. 7/2010 norwegian university of science and technology trondheim, norway We present an algorithm for finding high order numerical approximations of minimal surfaces with a fixed boundary. The algorithm employs parametriza-tion by high order polynomials and a linearization of the weak formulation of the Laplace-Beltrami operator to arrive at an iterative procedure to evolve ...

Numerical simulation of plasma-wall interactions in weakly collisional plasmas

Eulerian Vlasov codes, which solve the kinetic equation on a fixed phase-space grid, have become increasingly popular in the fusion plasma physics community. Their main advantage is the lack of random statistical noise inherent to particle-in-cell (PIC) calculations. Although they do require a somewhat larger computational effort compared to their PIC counterparts, Eulerian codes are now able t...

Numerical approximation based on the Bernouli polynomials for solving Volterra integro-differential equations of high order

In this ‎article‎‎, ‎an ‎ap‎plied matrix method, which is based on Bernouli Polynomials, has been presented to find approximate solutions of ‎high order ‎Volterra ‎integro-differential‎ equations. Through utilizing this approach, the proposed equations reduce to a system of algebric equations with unknown Bernouli coefficients. A number of numerical ‎illustrations‎ have been ‎solved‎ to ‎assert...

Accurate numerical methods for the collisional motion

In this paper we extend the spectral method developed in [29, 30] to the case of the inelastic Boltzmann equation describing the collisional motion of a granular gas with and without a heating source. The schemes are based on a Fourier representation of the equation in the velocity space and provide a very accurate description of the time evolution of the distribution function. Several numerica...