CRONOS is a suite of numerical codes for the predictive/interpretative simulation of a full
tokamak discharge. It integrates, in a modular structure, a 1D transport solver with general …

Computation of the MHD equilibrium of a tokamak plasma is reviewed as comprehensively
as possible. The basic equation of this problem is the Grad-Shafranov equation. General …

This book offers a thorough coverage of the magnetic control of a plasma in a tokamak. A
plasma is a gas in which an important fraction of the particles is ionized, so that the electrons …

The present monograph is intended to provide a comprehensive and accessible introduction
to the optimization of elliptic systems. This area of mathematical research, which has many …

This work concerns the use of the method of quasi-reversibility to solve the Cauchy problem
for Laplace's equation. We describe a mixed formulation of the method and its relationship …

Scenarios of steady-state, fully non-inductive current in Tore Supra are predicted using a
package of simulation codes (CRONOS). The plasma equilibrium and transport are …

The code NICE (Newton direct and Inverse Computation for Equilibrium) enables to solve
numerically several problems of plasma free-boundary equilibrium computations in a …

In this paper, a strict Lyapunov function is developed in order to show the exponential
stability and input-to-state stability (ISS) properties of a diffusion equation for …

This paper proposes a control-oriented approach to the tokamak plasma current profile
dynamics. It is established based on a consistent set of simplified relationships, in particular …

The principle behind magnetic fusion is to confine high temperature plasma inside a device
in such a way that the nuclei of deuterium and tritium joining together can release energy …