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SIAMNUM
2010
169views more  SIAMNUM 2010»
14 years 4 months ago
A Convergent Nonconforming Finite Element Method for Compressible Stokes Flow
We propose a nonconforming finite element method for isentropic viscous gas flow in situations where convective effects may be neglected. We approximate the continuity equation by ...
Kenneth H. Karlsen, Trygve K. Karper
MOC
2002
73views more  MOC 2002»
14 years 9 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
1998
95views more  MOC 1998»
14 years 9 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
80
Voted
SIAMNUM
2010
116views more  SIAMNUM 2010»
14 years 4 months ago
Convergence of Linearized and Adjoint Approximations for Discontinuous Solutions of Conservation Laws. Part 2: Adjoint Approxima
This paper continues the convergence analysis in [M. Giles and S. Ulbrich, SIAM J. Numer. Anal., 48 (2010), pp. 882
Mike Giles, Stefan Ulbrich
55
Voted
MOC
2002
107views more  MOC 2002»
14 years 9 months ago
Combined Hermite spectral-finite difference method for the Fokker-Planck equation
The convergence of a class of combined spectral-finite difference methods using Hermite basis, applied to the Fokker-Planck equation, is studied. It is shown that the Hermite based...
Johnson C. M. Fok, Benyu Guo, Tao Tang