Publications

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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.