Handbook Series Linear Algebra. Eigenvectors of Real and Complex Matrices by L R and QR triangularizations.
High order semi-lagrangian particle methods for transport equations: numerical analysis and implementation issues
This paper is devoted to the definition, analysis and implementation of semi-Lagrangian methods as they result from particle methods combined with remeshing. We give a complete consistency analysis of these methods, based on the regularity and momentum properties of the remeshing kernels, and a stability analysis of a large class of second and fourth order methods. This analysis is supplemented by numerical illustrations. We also describe a general approach to implement these methods in the context...