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Molei Tao
CMS MC 305-16, Caltech, Pasadena CA 91125, USA
Phone: +1-626-395-4026;
mtao at caltech dot edu
Welcome to my homepage! I'm a postdoc in Computing & Mathematical Sciences, Caltech. I obtained my Ph.D. in Control & Dynamical Systems with a graduate minor in Physics from Caltech, and B.S. in Math & Physics from Tsinghua University (Beijing). I will be a Courant Instructor in NYU starting 2012 fall.
Research:
My interests in applied math lie at the intersection of probability, differential equations and dynamical systems, and geometry. Example topics include the analysis and numerics of multiscale systems, and their applications.
Selected manuscripts:
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M. Tao, H. Owhadi, and J.E. Marsden. Non-intrusive and structure preserving multiscale integration of stiff ODEs, SDEs and Hamiltonian systems with hidden slow dynamics via flow averaging. SIAM Multiscale Model. Simul. (2010) Vol. 8, 1269-1324. (inverted pendulum movie ; propane molecule movie)
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M. Tao, H. Owhadi, and J.E. Marsden. Space-time FLAVORS: finite difference, multisymplectic, and pseudospectral integrators for multiscale PDEs. Dynamics of PDEs. (2011) Vol. 8, 21-46. (low-resolution small sized preprint)
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M. Tao, H. Owhadi, and J.E. Marsden. From efficient symplectic exponentiation of matrices to symplectic integration of high-dimensional Hamiltonian systems with slowly varying quadratic stiff potentials. Appl. Math. Res. Express. (2011) Num. 2, 242-280. (An additional preprint on the error analysis of a stochastic extension of impulse methods is available at http://arxiv.org/abs/1006.4657)
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Y. Jing, M. Tao, and G. Clement. Evaluation of a wave vector frequency domain method for nonlinear wave propagation. J. Acous. Soc. Am. (2011) 129 (1) 32-46.
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M. Tao, H. Owhadi, and J.E. Marsden. Symplectic, linearly-implicit and stable integrators with applications to fast symplectic simulations of constrained dynamics. Preprint at http://arxiv.org/abs/1103.4645 (pendulum chain movie; toy water cluster at constant temperature movie)
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M. Tao, H. Owhadi, and J.E. Marsden. Temperature and friction accelerated sampling of Boltzmann-Gibbs distribution. Preprint at http://arxiv.org/abs/1007.0995
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S. Ober-Bloebaum, M. Tao, M. Cheng, H. Owhadi, and J.E. Marsden. Variational integrators for electric circuits. Preprint at http://arxiv.org/abs/1103.1859
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