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MMAS
2015
Springer
9 years 8 months ago
A Multiscale Data-Driven Stochastic Method for Elliptic PDEs with Random Coefficients
In this paper, we propose a multiscale data-driven stochastic method (MsDSM) to study stochastic partial differential equations (SPDEs) in the multiquery setting. This method comb...
Zhiwen Zhang, Maolin Ci, Thomas Y. Hou
MMAS
2015
Springer
9 years 8 months ago
On the Eulerian Large Eddy Simulation of Disperse Phase Flows: An Asymptotic Preserving Scheme for Small Stokes Number Flows
In the present work, the Eulerian Large Eddy Simulation of dilute disperse phase flows is investigated. By highlighting the main advantages and drawbacks of the available approac...
Christophe Chalons, Marc Massot, Aymeric Vié...
MMAS
2015
Springer
9 years 8 months ago
Butterfly Factorization
The paper introduces the butterfly factorization as a data-sparse approximation for the matrices that satisfy a complementary low-rank property. The factorization can be construct...
Yingzhou Li, Haizhao Yang, Eileen R. Martin, Kenne...
MMAS
2015
Springer
9 years 8 months ago
Mean First Passage Time for a Small Rotating Trap inside a Reflective Disk
We compute the mean first passage time (MFPT) for a Brownian particle inside a two-dimensional disk with reflective boundaries and a small interior trap that is rotating at a con...
J. C. Tzou, Theodore Kolokolnikov
MMAS
2015
Springer
9 years 8 months ago
A Multiscale Butterfly Algorithm for Multidimensional Fourier Integral Operators
This paper presents an efficient multiscale butterfly algorithm for computing Fourier integral operators (FIOs) of the form (Lf)(x) = Rd a(x, ξ)e2πıΦ(x,ξ)f(ξ)dξ, where Φ(x...
Yingzhou Li, Haizhao Yang, Lexing Ying
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