L
Lexing Ying
Researcher at Stanford University
Publications - 285
Citations - 10563
Lexing Ying is an academic researcher from Stanford University. The author has contributed to research in topics: Preconditioner & Computer science. The author has an hindex of 45, co-authored 250 publications receiving 9213 citations. Previous affiliations of Lexing Ying include California Institute of Technology & Facebook.
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Fast Discrete Curvelet Transforms
TL;DR: This paper describes two digital implementations of a new mathematical transform, namely, the second generation curvelet transform in two and three dimensions, based on unequally spaced fast Fourier transforms, while the second is based on the wrapping of specially selected Fourier samples.
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A kernel-independent adaptive fast multipole algorithm in two and three dimensions
TL;DR: A new fast multipole method for particle simulations that does not require the implementation of multipole expansions of the underlying kernel, and it is based only on kernel evaluations that matches its potential to the potential of the original sources at a surface, in the far field.
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Wave atoms and sparsity of oscillatory patterns
Laurent Demanet,Lexing Ying +1 more
TL;DR: It is proved that warped oscillatory functions, a toy model for texture, have a signicantly sparser expansion in wave atoms than in other xed standard representations like wavelets, Gabor atoms, or curvelets.
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Seismic wave extrapolation using lowrank symbol approximation
TL;DR: In this paper, a low-rank approximation of the space-wavenumber wave propagation matrix is proposed for wave propagation in 3D heterogeneous isotropic or anisotropic media.
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Sweeping preconditioner for the Helmholtz equation: Hierarchical matrix representation
Björn Engquist,Lexing Ying +1 more
TL;DR: The sweeping preconditioner is introduced, which is highly efficient for iterative solutions of the variable‐coefficient Helmholtz equation including very‐high‐frequency problems and is extended to the three‐dimensional case with some success.