Submitted Manuscripts
Journal Papers
- L. Ying and S. Fomel. Fast computation
of partial Fourier transforms. To appear in SIAM Journal on
Multiscale
Modeling and Simulation.
- L. Lin, J. Lu, L. Ying, and W. E. Pole-based
approximation of the Fermi-Dirac function. To appear in
Chinese Annals of Mathematics (CAM), Ser. B.
- L. Lin, J. Lu, L. Ying, R. Car, and W. E. Fast
algorithm for extracting the diagonal of the inverse matrix with
application to the electronic structure analysis of metallic systems.
To appear in Communications in Mathematical Sciences.
- B. Engquist and L. Ying. Fast
directional algorithms for the
Helmholtz kernel. To appear in Journal of
Computational and Applied Mathematics.
- L. Demanet and L. Ying. Wave
atoms and time upscaling of
wave equations. Numerische Mathematik, 113(1), 1-71, 2009.
- E. Candes, L. Demanet and L. Ying. A
fast butterfly algorithm for the computation of Fourier integral
operators. SIAM Journal
on Multiscale Modeling and Simulation, 7(4), 1727-1750, 2009.
- B. Engquist and L.
Ying. A fast directional algorithm for high
frequency acoustic scattering in two dimensions.
Communications in Mathematical Sciences, 7 (2009), no. 2, 327--345.
- L. Ying. Sparse Fourier transform via
butterfly algorithm. SIAM Journal on Scientific Computing, 31, 1678
(2009).
- E. Candes, L. Demanet and L. Ying. Fast
computation of Fourier integral
operators. SIAM Journal on
Scientific Computing, 29, 2464 (2007).
- B. Engquist and L. Ying. Fast directional
multilevel algorithms for
oscillatory kernels. SIAM Journal on
Scientific Computing, 29, 1710 (2007).
- L. Demanet, L. Ying. Wave atoms and
sparsity
of oscillatory patterns. Applied and
Computational Harmonic Analysis, 23-3 (2007) 368-387. Implementation
(Matlab).
- L. Ying, E. Candes. Fast geodesics
computation with the
phase flow method. Journal of Computational
Physics, 220 (2006), no. 1, 6--18.
- L. Ying, E. Candes. The phase flow method.
Journal of
Computational Physics, 220 (2006), no. 1, 184--215.
- E. Candes, L. Demanet, D. Donoho, L. Ying. Fast
discrete curvelet transforms. SIAM Journal on Multiscale
Modeling and Simulation, 5 (2006), no. 3, 861--899. Implementation
(Matlab and C++).
- L. Ying, G. Biros, D. Zorin. A high-order 3D
boundary integral equation
solver for elliptic PDEs in smooth domains. Journal of
Computational Physics, 219
(2006), no. 1, 247-275.
- L. Ying. A kernel independent fast
multipole
algorithm for radial basis functions. Journal of Computational
Physics, 213 (2006), no. 2, 451-457.
- L. Ying, D. Zorin. A simple
manifold-based construction
of surfaces of arbitrary smoothness. ACM Transactions on Graphics
23(3), 2004 (SIGGRAPH 2004). Implementation
(C++).
- L. Ying, G. Biros, D. Zorin. A
kernel-independent adaptive fast multipole
method in two and three dimensions. Journal of Computational
Physics, 196 (2004), no. 2, 591-626. Implementation
(C++).
- G. Biros, L. Ying, D. Zorin. A fast
solver for the
Stokes equations with distributed forces in complex geometries.Journal
of Computational Physics, 194
(2004), no. 1, 317-348.
- L. Velho, K. Perlin, L. Ying, H. Biermann. Algorithmic
shape modeling with subdivision
surfaces. Computers and Graphics, 26 (2002), no.
6, 865-875.
Book Chapters
-
L. Ying. Fast algorithms for boundary integral
equations. In B.
Engquist, O. Runborg, P. L\"{o}tstedt, editors, Multiscale Methods in Science and Engineering,
pages 139-194, volume 66 of
Lecture Notes in Computational Science and Engineering, Heidelberg, 2005. Springer Verlag.
Conference Papers
- I. Lashuk, A. Chandramowlishwaran, H. Langston, T. Nguyen, R.
Sampath, A. Shringarpure, R.
Vuduc, L. Ying, D. Zorin, and G. Biros. A
massively parallel adaptive fast multipole method on heterogeneous
architectures. To appear in
Proceedings of Proc. ACM/IEEE Conf. Supercomputing (SC),
Portland, OR, USA, 2009. This paper is nominated for the Best Technical Paper Award.
- L. Demanet and L. Ying. Curvelets
and wave atoms for
mirror-extended images.Proc. SPIE Wavelets
XII conf, San Diego, August 2007 (Invited Paper). Implementation
(Matlab).
- L. Ying, L. Demanet, E. Candes. 3D discrete
curvelet transform.
Proc. Wavelets XI conf., San Diego, July 2005 (Invited Paper).
- L. Ying, G. Biros, D. Zorin, H. Langston. A new parallel kernel-independent fast
multipole method.
Proceedings of the 2003
ACM/IEEE conference on Supercomputing, 14-29, 2003. This paper was
awarded the Best Student
Paper Award and nominated for the
Gordon Bell Award and the Best Technical Paper Award.
- G. Biros, L. Ying, D. Zorin. The embedded
boundary integral equation
solver for the incompressible Navier-Stokes equations.
International Association for Boundary Element Methods Symposium, 2002.
- L. Ying, D. Zorin. Nonmanifold
subdivision.
The 12th IEEE Visualization Conference, 2001.
- L. Ying, A. Hertzmann, H. Biermann, D. Zorin. Texture and shape synthesis on surfaces.
The 12th Eurographics Workshop on Rendering, 2001.
Reports: