Publications |
Some of
the preprints are available on Arxiv: http://arxiv.org/a/tran_m_2
Kinetic Theory
[16]
Erich Foster, Jerome Loheac and Minh-Binh Tran. A
Structure Preserving Scheme for the Kolmogorov Fokker Planck Equation.
[15]
Miguel Escobedo and Minh-Binh Tran. Convergence to equilibrium of a linearized quantum
Boltzmann equation for bosons at very low temperature
[14] Minh-Binh Tran. Nonlinear
approximation theory for the homogeneous Boltzmann equation. (83 pages)
[13] Minh-Binh Tran. Convergence to Equilibrium of
Some Kinetic Models. Journal of
Differential Equations, Volume 255, Issue 3, 1 August 2013, Pages 405-440.
Domain Decomposition Methods - Parallel Computing
[12] Laurence
Halpern, Juliette Ryan and Minh-Binh Tran. Schwarz waveform relaxation methods for the
primitive equation (in preparation, published in my PhD thesis).
[11]
Luca Gerardo-Giorda, and Minh-Binh Tran. Parallelizing the Kolmogorov-Fokker-Planck Equation.
ESAIM Mathematical Modelling and Numerical
Analysis, to appear
[10] Minh-Binh Tran. Convergence properties of overlapping Schwarz domain decomposition algorithms.
[9] Minh-Binh Tran. Parallel
Schwarz waveform relaxation algorithm for an n-dimensional semilinear
heat equation.
ESAIM Mathematical Modelling and Numerical Analysis,
48 (2014) pp 795-813.
[8] Minh-Binh Tran. The Behavior of Domain
Decomposition Methods When the Overlapping Length is Large. Central European Journal of Mathematics October 2014, Volume 12,
Issue 10, pp 1602-1614. (Invited Paper)
[7] Minh-Binh Tran. On domain decomposition methods for
optimal control problems. Conference Applications of Mathematics 2013 in honor of the 70th
birthday of Karel Segeth.
pp 207-214, Institute of
Mathematics ASCR, Prague 2013.
[6] Minh-Binh Tran. Overlapping Domain Decomposition: Convergence Proofs.
Domain Decomposition Methods in Science and Engineering XX Lecture Notes in Computational
Science and Engineering Volume 91, 2013, pp 493-500.
[5] Minh-Binh Tran. Overlapping
optimized Schwarz methods for parabolic equations in n- dimensions.
Proc. Amer. Math. Soc. 141 (2013), 1627-1640.
[4] Minh-Binh Tran. A parallel four step domain
decomposition scheme for coupled forward backward stochastic differential
equations. J. Math. Pures Appl. 96 (2011) 377-394.
[3] Minh-Binh Tran. Parallel Schwarz waveform relaxation method for a semilinear heat equation in a cylindrical domain.
C. R. Acad. Sci. Paris Ser. I Math.,
348(13-14):795-799, 2010.
Undergraduate
Publications
[2]
Tran Minh Binh, Duong Minh Duc, and Nguyen Duy Thanh. On partially elliptic and coercive boundary problems.
Vietnam J. Math, 37(2-3):255--272, 2009.
Technical Report
[1] Minh-Binh Tran. Optimized parameters of optimized Schwarz waveform relaxation
methods for the heat equation. (195 pages), available on HAL : hal-00589252.