Journal ArticleDOI
Asymptotic stability and discretization on an infinite interval
TLDR
By imposing some conditions on the discrete dynamical systems generated by one step discretization methods, some non linear one step methods of the first and second order are constructed, which turn out to be A-stable or L-stable according to the current definitions.Abstract:
By imposing some conditions on the discrete dynamical systems generated by one step discretization methods, we construct some non linear one step methods of the first and second order, which turn out to beA-stable orL-stable according to the current definitions. Numerical experiments are carried out on some common stiff test problems, confirming the validity of the methods.read more
Citations
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Journal ArticleDOI
Non Equilibrium Vibrational Population and Dissociation Rates of Oxygen in Electrical Discharges: The Role of Atoms and of the Recombination Process
TL;DR: The influence of oxygen atoms on the population densities of vibrational levels of molecular oxygen has been studied for discharge conditions in which the atoms come from electronic transitions to Herzberg and Schumann systems.
Journal ArticleDOI
Open problems in the XeCl laser physics
TL;DR: In this article, the effects of different assumptions related to plasma kinetics and plasma-circuit interaction on the results of a selfconsistent code for modeling an XeCl* self-sustained discharge-pumped laser have been examined.
Book ChapterDOI
Non Equilibrium Excimer Laser Kinetics
TL;DR: In this article, the authors describe a self-consistent model which describes the temporal evolution of an excimer laser mixture under the action of the voltage applied to the electrodes of the laser cell and provided by an electrical external circuit.
Journal ArticleDOI
Fourier-transform sensitivity analysis : application to xecl self-sustained discharge-laser kinetics
TL;DR: In this article, a simplified model of a XeCl self-sustained discharge laser was applied to a simplified Fourier transform sensitivity analysis and the sensitivity coefficients were calculated for chemical, electron and photon densities and for the discharge current and voltage.
Journal ArticleDOI
A numerical method for a mathematical model in gravitational hydrodynamics
TL;DR: In this article, a mathematical model describing the interaction of two classical gravitational fields, produced respectively by concentrated and distributed masses, is considered and a numerical methodology for the treatment of that model is developed, and a prototype problem is solved.
References
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Journal ArticleDOI
Second Derivative Multistep Methods for Stiff Ordinary Differential Equations
TL;DR: In this article, the difficulty associated with the numerical solution of stiff ordinary differential equations is considered and the stability requirements of methods suitable for stiff equations are described, where the authors consider the case of the case where the solution is known to be stable.
Journal ArticleDOI
Efficient integration methods for stiff systems of ordinary differential equations
TL;DR: In this article, linear one-step methods of a novel design are given for the numerical solution of stiff systems of ordinary differential equations, which permit fast integration with increments h of the independent variable adjusted to the slowly varying, dominant solutions.