Browsing Past Topics (PT) by Author "Tran, M.B."
Now showing items 17 of 7

Convergence to equilibrium of a linearized quantum Boltzmann equation for bosons at very low temperature
Escobedo, M.; Tran, M.B. (20150901)We consider an approximation of the linearised equation of the homogeneous Boltzmann equation that describes the distribution of quasiparticles in a dilute gas of bosons at low temperature. The corresponding collision ... 
Convergence to equilibrium of some kinetic models
Tran, M.B. (20131231)We introduce in this paper a new constructive approach to the problem of the convergence to equilibrium for a large class of kinetic equations. The idea of the approach is to prove a 'weak' coercive estimate, which implies ... 
Overlapping Domain Decomposition: Convergence Proofs
Tran, M.B. (20131231)[No abstract available] 
Overlapping optimized schwarz methods for parabolic equations in n dimensions
Tran, M.B. (20131231)We introduce in this paper a new tool to prove the convergence of the overlapping optimized Schwarz methods with multisubdomains. The technique is based on some estimates of the errors on the boundaries of the overlapping ... 
Parallel Schwarz wave form relaxation algorithm for an ndimensional semilinear heat equation
Tran, M.B. (20141231)We present in this paper a proof of wellposedness and convergence for the parallel Schwarz Waveform Relaxation Algorithm adapted to an Ndimensional semilinear heat equation. Since the equation we study is an evolution ... 
Parallelizing the KolmogorovFokkerPlanck Equation
GerardoGiorda, L.; Tran, M.B. (20151231)We design two parallel schemes, based on Schwarz Waveform Relaxation (SWR) procedures, for the numerical solution of the Kolmogorov equation. The latter is a simplified version of the FokkerPlanck equation describing the ... 
The behavior of domain decomposition methods when the overlapping length is large
Tran, M.B. (20141231)In this paper, we introduce a new approach for the convergence problem of optimized Schwarz methods by studying a generalization of these methods for a semilinear elliptic equation. We study the behavior of the algorithm ...