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MOC
2000
75views more  MOC 2000»
15 years 5 months ago
Multihomogeneous Newton methods
Abstract. We study multihomogeneous analytic functions and a multihomogeneous Newton's method for finding their zeros. We give a convergence result for this iteration and we s...
Jean-Pierre Dedieu, Mike Shub
MOC
2002
73views more  MOC 2002»
15 years 5 months ago
A stochastic particle numerical method for 3D Boltzmann equations without cutoff
Using the main ideas of Tanaka, the measure-solution {Pt}t of a 3-dimensional spatially homogeneous Boltzmann equation of Maxwellian molecules without cutoff is related to a Poisso...
Nicolas Fournier, Sylvie Méléard
MOC
2002
78views more  MOC 2002»
15 years 5 months ago
A geometric theory for preconditioned inverse iteration applied to a subspace
ABSTRACT. The aim of this paper is to provide a convergence analysis for a preconditioned subspace iteration, which is designated to determine a modest number of the smallest eigen...
Klaus Neymeyr
MOC
1998
95views more  MOC 1998»
15 years 5 months ago
The Trotter-Kato theorem and approximation of PDEs
Abstract. We present formulations of the Trotter-Kato theorem for approximation of linear C0-semigroups which provide very useful framework when convergence of numerical approximat...
Kazufumi Ito, Franz Kappel
MOC
1998
94views more  MOC 1998»
15 years 5 months ago
Analysis of third-order methods for secular equations
Third-order numerical methods are analyzed for secular equations. These equations arise in several matrix problems and numerical linear algebra applications. A closer look at an ex...
A. Melman