111
Voted
MMAS
2015
Springer
9 years 11 months ago
2015
Springer
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...
104
Voted
MMAS
2015
Springer
9 years 11 months ago
2015
Springer
Abstract. This paper introduces the sparsifying preconditioner for the pseudospectral approximation of highly indefinite systems on periodic structures, which include the frequenc...
108
Voted
MMAS
2015
Springer
9 years 11 months ago
2015
Springer
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...
115
Voted
MMAS
2015
Springer
9 years 11 months ago
2015
Springer
Data assimilation of turbulent signals is an important challenging problem because of the extremely complicated large dimension of the signals and incomplete partial noisy observat...
112
Voted
MMAS
2015
Springer
9 years 11 months ago
2015
Springer
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...