#### Filter Results:

- Full text PDF available (77)

#### Publication Year

1984

2017

- This year (1)
- Last 5 years (10)
- Last 10 years (28)

#### Publication Type

#### Co-author

#### Journals and Conferences

#### Method

Learn More

This paper describes exact and explicit representations of the differential operators, d/dx, n = 1, 2, Â· Â· Â·, in orthonormal bases of compactly supported wavelets as well as the representations ofâ€¦ (More)

- Bradley K. Alpert, Gregory Beylkin, Ronald R. Coifman, Vladimir Rokhlin
- SIAM J. Scientific Computing
- 1993

A class of vector-space bases is introduced for the sparse representation of discretiza-tions of integral operators. An operator with a smooth, nonoscillatory kernel possessing a finite number ofâ€¦ (More)

- Gregory Beylkin, Martin J. Mohlenkamp
- Proceedings of the National Academy of Sciencesâ€¦
- 2002

When an algorithm in dimension one is extended to dimension d, in nearly every case its computational cost is taken to the power d. This fundamental difficulty is the single greatest impediment toâ€¦ (More)

- Gregory Beylkin, Martin J. Mohlenkamp
- SIAM J. Scientific Computing
- 2005

Nearly every numerical analysis algorithm has computational complexity that scales exponentially in the underlying physical dimension. The separated representation, introduced previously, allows manyâ€¦ (More)

We consider issues of stability of time-discretization schemes with exact treatment of the linear part (ELP schemes) for solving nonlinear PDEs. A distinctive feature of ELP schemes is the exactâ€¦ (More)

- Gregory Beylkin
- IEEE Trans. Acoustics, Speech, and Signalâ€¦
- 1987

This paper describes the discrete Radon transform (DRT) and the exact inversion algorithm for it. Similar to the discrete Fourier transform (DFT), the DRT is defined for periodic vector-sequences andâ€¦ (More)

We introduce a new approach, and associated algorithms, for the efficient approximation of functions and sequences by short linear combinations of exponential functions with complex-valued exponentsâ€¦ (More)

Adaptive Solution of Partial Differential Equations in Multiwavelet Bases B. Alpert,âˆ—,1 G. Beylkin,â€ ,2 D. Gines,â€ and L. Vozovoiâ€¡,3,4,5 âˆ—National Institute of Standards and Technology, Boulder,â€¦ (More)

- D. Miller, Gregory Beylkin
- 2001

A new approach to seismic migration formalizes the classical diffraction (or common-tangent) stack by relating it to linearized seismic inversion and the generalized Radon transform. This approachâ€¦ (More)

- Naoki Saito, Gregory Beylkin
- IEEE Trans. Signal Processing
- 1993

We propose a shift-invariant multiresolution representation of signals or images using dilations and translations of the autocorrelation functions of compactly supported wavelets. Although theseâ€¦ (More)