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This talk concerns trajectory planning problems of an autonomous vehicle for field exploration, where the vehicle needs to accumulate sufficient information on a spatio-temporal field and to reach a d...
In this paper we present a new ultra efficient numerical method for solving kinetic equations. In this preliminary work, we present the scheme in the case of the BGK relaxation operator. The scheme, b...
Efficient computation of the Zassenhaus formula     Efficient computation  Zassenhaus formula  Mathematical Physics       font style='font-size:12px;'> 2012/4/18
A new recursive procedure to compute the Zassenhaus formula up to high order is presented, providing each exponent in the factorization directly as a linear combination of independent commutators and ...
The Earth Mover Distance (EMD) between point sets A and B is the minimum cost of a bipartite matching between A and B. EMD is an important measure for estimating similarities between objects with quan...
A highly efficient measure of mass segregation in star clusters     Methods  numerical  star clusters  mass segregation       font style='font-size:12px;'> 2011/9/30
Abstract: Investigations of mass segregation are of vital interest for the understanding of the formation and dynamical evolution of stellar systems on a wide range of spatial scales. Our method is ba...
A master equation, derived from the non-Markovian quantum state diffusion (NMQSD), is used to calculate excitation energy transfer in the photosynthetic Fenna-Matthews-Olson (FMO) pigmentprotein compl...
Efficient, long-range correlation from occupied wavefunctions only     Efficient  wavefunctions       font style='font-size:12px;'> 2011/9/9
We use continuum mechanics [Tao et al, PRL103,086401] to approximate the dynamic density response of interacting many-electron systems. Thence we develop a numerically efficient exchangecorrelation en...
An efficient algorithm for the computation of the trace of the symmetrized product of an arbitrary number of Dirac matrices with two indices.
Abstract: An efficient procedure for the computation of the coefficients of Legendre expansions is here presented. We prove that the Legendre coefficients associated with a function f(x) can be repres...
We present a new empirical pseudopotential (EPM) calculation approach to simulate the million atom nanostructured semiconductor devices under potential bias using the periodic boundary con- ditions....
Common efficient schemes for the incompressible Navier-Stokes equations, such as projection or fractional step methods, have limited temporal accuracy as a result of matrix splitting errors, or introd...
For systems described by the two-site Bose-Hubbard Hamiltonian, we show that a sinusoidal modulation of the tunneling matrix element assists higher-order co-tunneling processes. Using this mechanism, ...
An efficient test for product states     product states  n quantum systems       font style='font-size:12px;'> 2010/3/10
We give a test that can distinguish efficiently between product states of n quantum systems and states which are far from product. If applied to a state psi whose maximum overlap with a product state ...
We demonstrate an efficient numerical method to calculate three-tangle of general mixed states. We construct a "energy function" (target function) for the three-tangle of the mixed state under certain...
Excitation transfer through interacting systems plays an important role in many areas of physics, chemistry, and biology. The uncontrollable interaction of the transmission network with a noisy enviro...

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