Submitted Manuscripts

• Discrete Symbol Calculus. L. Demanet and L. Ying. Submitted (2008).
  
• Scattering in flatland: Efficient representations via wave atoms. L. Demanet and L. Ying. Submitted (2008).
  
• Fast Directional Computation for the High Frequency Helmholtz Kernel in Two Dimensions. B. Engquist and L. Ying. Submitted (2008).
• Fast Computation of Partial Fourier Transforms. L. Ying and S. Fomel. Submitted (2008).
• Sparse Fourier Transform via Butterfly Algorithm. L. Ying. Submitted (2008).
• Wave atoms and time upscaling of wave equations. L. Demanet and L. Ying. Submitted (2007).

Journal Papers

• Fast directional algorithms for the Helmholtz kernel. B. Engquist and L. Ying. Accepted by Journal of Computational and Applied Mathematics (2008).
  
• Fast computation of Fourier integral operators. E. Candes, L. Demanet and L. Ying. SIAM Journal on Scientific Computing, 29, 2464 (2007).
• Fast directional multilevel algorithms for oscillatory kernels. B. Engquist and L. Ying. SIAM Journal on Scientific Computing, 29, 1710 (2007).
  
• Wave atoms and sparsity of oscillatory patterns. L. Demanet, L. Ying. Applied and Computational Harmonic Analysis, 23-3 (2007) 368-387.
• Fast geodesics computation with the phase flow method. L. Ying, E. Candes. Journal of Computational Physics, 220 (2006), no. 1, 6--18.
  
• The phase flow method. L. Ying, E. Candes. Journal of Computational Physics, 220 (2006), no. 1, 184--215.
  
• Fast discrete curvelet transforms. E. Candes, L. Demanet, D. Donoho, L. Ying. SIAM Journal on Multiscale Modeling and Simulation, 5  (2006), no. 3, 861--899. Implementation (Matlab and C++).
• A high-order 3D boundary integral equation solver for elliptic PDEs in smooth domains. L. Ying, G. Biros, D. Zorin. Journal of Computational Physics, 219 (2006), no. 1, 247-275.
  
• A kernel independent fast multipole algorithm for radial basis functions. L. Ying. Journal of Computational Physics, 213 (2006), no. 2, 451-457.
• A simple manifold-based construction of surfaces of arbitrary smoothness. L. Ying, D. Zorin. ACM Transactions on Graphics 23(3), 2004 (SIGGRAPH 2004). Implementation (C++).
• A kernel-independent adaptive fast multipole method in two and three dimensions. L. Ying, G. Biros, D. Zorin. Journal of Computational Physics, 196 (2004), no. 2, 591-626. Implementation (C++).
• A fast solver for the Stokes equations with distributed forces in complex geometries. G. Biros, L. Ying, D. Zorin. Journal of Computational Physics, 194 (2004), no. 1, 317-348.
  
• Algorithmic shape modeling with subdivision surfaces. L. Velho, K. Perlin, L. Ying, H. Biermann. Computers and Graphics, Vol 26, No 6.

Conference Papers

• Curvelets and wave atoms for mirror-extended images. L. Demanet and L. Ying. Proc. SPIE Wavelets XII conf, San Diego, August 2007 (Invited Paper). Implementation (Matlab).
• 3D discrete curvelet transform. L. Ying, L. Demanet, E. Candes. Proc. Wavelets XI conf., San Diego, July 2005 (Invited Paper).
• A new parallel kernel-independent fast multipole method. L. Ying, G. Biros, D. Zorin, H. Langston. The 16th ACM/IEEE Conference on Supercomputing, 2003. This paper is the Best Student Paper and nominated for the Gordon Bell award and the Best Technical Paper award.
• The embedded boundary integral equation solver for the incompressible Navier-Stokes equations. G. Biros, L. Ying, D. Zorin. International Association for Boundary Element Methods Symposium, 2002.
• Nonmanifold subdivision. L. Ying, D. Zorin. The 12th IEEE Visualization Conference, 2001.
• Texture and shape synthesis on surfaces. L. Ying, A. Hertzmann, H. Biermann, D. Zorin. The 12th Eurographics Workshop on Rendering, 2001.

Reports:

• An embedded boundary integral equation solver for the unsteady incompressible Navier-Stokes equations. G. Biros, L. Ying, D. Zorin. Submitted.