TL;DR: In this paper, a 3D, E-M code is presented, which simulates the interaction of some 106 superparticles with over 105 "superphotons" (field modes in k-space).

TL;DR: In this article, a numerical scheme to compute the MHD spectrum of a straight plasma column of arbitrary cross section is described, based on a finite element expansion in terms of a carefully chosen set of basis functions.

TL;DR: In this article, a finite element method is presented for the numerical treatment of two-dimensional quasilinear equations, applied to the electron-beam-plasma interaction, and strong influence of the initial fluctuation level on the evolution of the turbulence has been found.

TL;DR: In this paper, the authors compare and contrast the six general methods available for solving the time dependent continuity equation numerically, and present the most developed and efficient of the positive (monotone) finite-difference approaches.

TL;DR: In this article, a method for calculating the first order iterates is described, and employed in the numerical computation of an example, which involves an expansion of the product of two point coulomb amplitudes in powers of (1/ r ), together with the evaluation of a hypergeometric function for each term.

TL;DR: A review of the physical and numerical problems which arise in the theory of star formation is given in this article, where the evolution of protostars based on numerical calculations is qualitatively described.

TL;DR: In this paper, the authors describe the use of a large symbolic computation system (MACSYMA) in determining approximate analytic expressions for the nonlinear coupling of waves in an anisotropic plasma.

TL;DR: A linear approximation to the second-derivative matrix in terms of first derivatives of residuals is found to be very accurate in the neighborhood of minima; it provides a way of introducing second-Derivative information that is significantly superior to the use of variable-metric algorithms.

TL;DR: In this article, the authors investigated the possibility of replacing the complete backward integration by the asymptotic solution of the Schrodinger equation for Coulomb potentials in a central field.

TL;DR: In this article, a combinatorial algorithm for computing dimensions of irreducible representations of all nine types of simple Lie algebras over complexes is presented, implemented on a programmable desk calculator.

TL;DR: The Fontenay-aux-Roses code allows testing of the existing theories and deduction of empirical rules and coefficients and examples of a few applications of this code are given.

TL;DR: In this paper, a description of some of the recent calculations, relevant to magnetic confinement systems, concentrating particularly on Tokamak and pinch configurations, is given, and a detailed discussion of the results of these calculations is given.

TL;DR: In this paper, a double Chebyshev expansion technique is suggested for evaluating positive energy solutions of the radial Coulomb equation, for a particle with a wide range of energies and in either an attractive or repulsive Coulomb field, the two linearly independent radial solutions can be rapidly evaluated.

TL;DR: In this article, a computational model of electrical conductivity processes via variable range hopping of electrons between localized states (sites) in quasi-one-dimensional disordered systems is presented.

TL;DR: In recent years, variational methods have been applied successfully to the numerical determination of the spectra for simple linearized ideal magnetohydrodynamic models as discussed by the authors, and several extensive efforts have been undertaken to implement these approaches to determine the normal modes for general axisymmetric toroidal equilibria.

TL;DR: In this article, a combinatorial algorithm for computing the positive roots of all nine types of simple Lie algebras over complexes is presented, implemented on a programmable desk calculator.

TL;DR: In this paper, a description of the computer analysis of measurements on differential cross sections for elastic scattering of electrons by noble gas atoms and nitrogen molecules is given and an error discussion and a survey of the complete computer program is given.

TL;DR: A new revised version of FORMAC called FORMAC73 substantially reduces the store and execution time required for the symbolic computation of the Einstein tensor.

TL;DR: A review of stellar convection theory with a particular emphasis on numerical simulations of convection is given in this article, where the Boussinesq and the anelastic approximations of the fluid equations are introduced and solutions of the linearized equations for the onset of the convection are described.

TL;DR: Rules of structured programming, history and the background to the methodology are described to present this new result of computer science to a physicist-programmer who is not satisfied with the quality of his programming methods and is willing to learn from the experiences of others.

TL;DR: In this paper, the pulsar magnetosphere was modeled using a vacuum model based only on Maxwell's equations and a more realistic model employing both Maxwell's and relativistic two-fluid equations.

TL;DR: In this paper, a review of two-and three-dimensional ideal MHD equilibrium codes, with particular emphasis on axisymmetric toroidal calculations, is presented. But this paper is restricted to the case of Tokyoamak geometry.