-
1
-
-
0001303146
-
Rapid computation of the discrete fourier transform
-
C. Anderson and M. D. Dahleh, Rapid computation of the discrete Fourier transform, SIAM J. Sci. Comput., 17 (1996), pp. 913-919. (Pubitemid 126621184)
-
(1996)
SIAM Journal of Scientific Computing
, vol.17
, Issue.4
, pp. 913-919
-
-
Anderson, C.1
Dahleh, M.D.2
-
2
-
-
0002475397
-
Efficient computation of oscillatory integrals via adaptive multiscale local Fourier bases
-
A. Averbuch, E. Braverman, R. Coifman, M. Israeli, and A. Sidi, Efficient computation of oscillatory integrals via adaptive multiscale local Fourier bases, Appl. Comput. Harmon. Anal., 9 (2000), pp. 19-53.
-
(2000)
Appl. Comput. Harmon. Anal.
, vol.9
, pp. 19-53
-
-
Averbuch, A.1
Braverman, E.2
Coifman, R.3
Israeli, M.4
Sidi, A.5
-
3
-
-
5844235930
-
Computation of pseudo-differential operators
-
G. Bao and W. W. Symes, Computation of pseudo-differential operators, SIAM J. Sci. Comput., 17 (1996), pp. 416-429. (Pubitemid 126610885)
-
(1996)
SIAM Journal of Scientific Computing
, vol.17
, Issue.2
, pp. 416-429
-
-
Bao, G.1
Symes, W.W.2
-
4
-
-
84990556358
-
The inversion problem and applications of the generalized Radon transform
-
G. Beylkin, The inversion problem and applications of the generalized Radon transform, Comm. Pure Appl. Math., 37 (1984), pp. 579-599.
-
(1984)
Comm. Pure Appl. Math.
, vol.37
, pp. 579-599
-
-
Beylkin, G.1
-
5
-
-
84990610636
-
Fast wavelet transforms and numerical algorithms
-
G. Beylkin, R. Coifman, and V. Rokhlin, Fast wavelet transforms and numerical algorithms. I, Comm. Pure Appl. Math., 44 (1991), pp. 141-183.
-
(1991)
I, Comm. Pure Appl. Math.
, vol.44
, pp. 141-183
-
-
Beylkin, G.1
Coifman, R.2
Rokhlin, V.3
-
6
-
-
18844441348
-
Hierarchical Matrices Technical report 21
-
Leipzig, Germany
-
S. Börm, L. Grasedyck, and W. Hackbusch, Hierarchical Matrices, Technical report 21, Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig, Germany, 2003.
-
(2003)
Max-Planck-Institut für Mathematik in den Naturwissenschaften
-
-
Börm, S.1
Grasedyck, L.2
Hackbusch, W.3
-
7
-
-
0027810849
-
Fast numerical computations of oscillatory integrals related to acoustic scattering
-
B. Bradie, R. Coifman, and A. Grossmann, Fast numerical computations of oscillatory integrals related to acoustic scattering. I, Appl. Comput. Harmon. Anal., 1 (1993), pp. 94-99.
-
(1993)
I, Appl. Comput. Harmon. Anal.
, vol.1
, pp. 94-99
-
-
Bradie, B.1
Coifman, R.2
Grossmann, A.3
-
8
-
-
0037834662
-
Curvelets and Fourier Integral Operators
-
DOI 10.1016/S1631-073X(03)00095-5
-
E. Candés and L. Demanet, Curvelets and Fourier integral operators, C. R. Math. Acad. Sci. Paris, 336 (2003), pp. 395-398. (Pubitemid 36703614)
-
(2003)
Comptes Rendus Mathematique
, vol.336
, Issue.5
, pp. 395-398
-
-
Candes, E.1
Demanet, L.2
-
9
-
-
27744468800
-
The curvelet representation of wave propagators is optimally sparse
-
DOI 10.1002/cpa.20078
-
E. Candés and L. Demanet, The curvelet representation of wave propagators is optimally sparse, Comm. Pure Appl. Math., 58 (2005), pp. 1472-1528. (Pubitemid 41634606)
-
(2005)
Communications on Pure and Applied Mathematics
, vol.58
, Issue.11
, pp. 1472-1528
-
-
Candes, E.J.1
Demanet, L.2
-
10
-
-
33845602456
-
Fast discrete curvelet transforms
-
DOI 10.1137/05064182X
-
E. Candés, L. Demanet, D. Donoho, and L. Ying, Fast discrete curvelet transforms, Multiscale Model. Simul., 5 (2006), pp. 861-899. (Pubitemid 47381814)
-
(2006)
Multiscale Modeling and Simulation
, vol.5
, Issue.3
, pp. 861-899
-
-
Candes, E.1
Demanet, L.2
Donoho, D.3
Ying, L.4
-
11
-
-
55549132964
-
Fast computation of Fourier integral operators
-
E. Candés, L. Demanet, and L. Ying, Fast computation of Fourier integral operators, SIAM J. Sci. Comput., 29 (2007), pp. 2464-2493.
-
(2007)
SIAM J. Sci. Comput.
, vol.29
, pp. 2464-2493
-
-
Candés, E.1
Demanet, L.2
Ying, L.3
-
12
-
-
2442458882
-
New tight frames of curvelets and optimal representations of objects with piecewise C2 singularities
-
E. Candés and D. Donoho, New tight frames of curvelets and optimal representations of objects with piecewise C2 singularities, Comm. Pure Appl. Math., 57 (2004), pp. 219-266.
-
(2004)
Comm. Pure Appl. Math.
, vol.57
, pp. 219-266
-
-
Candés, E.1
Donoho, D.2
-
13
-
-
33646161223
-
A wideband fast multipole method for the Helmholtz equation in three dimensions
-
DOI 10.1016/j.jcp.2005.12.001, PII S002199910500553X
-
H. Cheng, W. Y. Crutchfield, Z. Gimbutas, L. F. Greengard, J. F. Ethridge, J. Huang, V. Rokhlin, N. Yarvin, and J. Zhao, A wideband fast multipole method for the Helmholtz equation in three dimensions, J. Comput. Phys., 216 (2006), pp. 300-325. (Pubitemid 43632566)
-
(2006)
Journal of Computational Physics
, vol.216
, Issue.1
, pp. 300-325
-
-
Cheng, H.1
Crutchfield, W.Y.2
Gimbutas, Z.3
Greengard, L.F.4
Ethridge, J.F.5
Huang, J.6
Rokhlin, V.7
Yarvin, N.8
Zhao, J.9
-
14
-
-
23944452920
-
On the compression of low rank matrices
-
DOI 10.1137/030602678
-
H. Cheng, Z. Gimbutas, P. G. Martinsson, and V. Rokhlin, On the compression of low rank matrices, SIAM J. Sci. Comput., 26 (2005), pp. 1389-1404. (Pubitemid 41205816)
-
(2005)
SIAM Journal of Scientific Computing
, vol.26
, Issue.4
, pp. 1389-1404
-
-
Cheng, H.1
Gimbutas, Z.2
Martinsson, P.G.3
Rokhlin, V.4
-
15
-
-
0003905438
-
-
Artech House, Norwood, MA
-
W. Chew, E. Michielssen, J. M. Song, and J. M. Jin, eds., Fast and Efficient Algorithms in Computational Electromagnetics, Artech House, Norwood, MA, 2001.
-
(2001)
Fast and Efficient Algorithms in Computational Electromagnetics
-
-
Chew, W.1
Michielssen, E.2
Song, J.M.3
Jin, J.M.4
-
16
-
-
0011420697
-
Inverse acoustic and electromagnetic scattering theory
-
2nd ed. Springer-Verlag, Berlin
-
D. Colton and R. Kress, Inverse Acoustic and Electromagnetic Scattering Theory, 2nd ed., Appl. Math Sci. 93, Springer-Verlag, Berlin, 1998.
-
(1998)
Appl. Math Sci.
, vol.93
-
-
Colton, D.1
Kress, R.2
-
17
-
-
27744450831
-
Integral equation methods in scattering theory
-
John Wiley & Sons, New York
-
D. L. Colton and R. Kress, Integral equation methods in scattering theory, Pure Appl. Math. (N.Y.), John Wiley & Sons, New York, 1983.
-
(1983)
Pure Appl. Math. (N.Y.)
-
-
Colton, D.L.1
Kress, R.2
-
18
-
-
0000893843
-
The fast multipole method: Numerical implementation
-
E. Darve, The fast multipole method: Numerical implementation, J. Comput. Phys., 160 (2000), pp. 195-240.
-
(2000)
J. Comput. Phys.
, vol.160
, pp. 195-240
-
-
Darve, E.1
-
19
-
-
1642292676
-
A fast multipole method for Maxwell equations stable at all frequencies
-
DOI 10.1098/rsta.2003.1337
-
E. Darve and P. Havé, A fast multipole method for Maxwell equations stable at all frequencies, Philos. Trans. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci., 362 (2004), pp. 603-628. (Pubitemid 38361638)
-
(2004)
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
, vol.362
, Issue.1816
, pp. 603-628
-
-
Darve, E.1
Have, P.2
-
20
-
-
35148877210
-
Wave atoms and sparsity of oscillatory patterns
-
DOI 10.1016/j.acha.2007.03.003, PII S1063520307000450
-
L. Demanet and L. Ying, Wave atoms and sparsity of oscillatory patterns, Appl. Comput. Harmon. Anal., 23 (2007), pp. 368-387. (Pubitemid 47552875)
-
(2007)
Applied and Computational Harmonic Analysis
, vol.23
, Issue.3
, pp. 368-387
-
-
Demanet, L.1
Ying, L.2
-
21
-
-
79955591958
-
Discrete symbol calculus
-
to appear
-
L. Demanet and L. Ying, Discrete symbol calculus, SIAM Rev., to appear.
-
SIAM Rev.
-
-
Demanet, L.1
Ying, L.2
-
22
-
-
77955304303
-
Scattering in flatland: Efficient representations via wave atoms
-
to appear
-
L. Demanet and L. Ying, Scattering in flatland: Efficient representations via wave atoms, Found. Comput. Math., to appear.
-
Found. Comput. Math.
-
-
Demanet, L.1
Ying, L.2
-
23
-
-
0000527817
-
Fast Fourier transforms for nonequispaced data
-
A. Dutt and V. Rokhlin, Fast Fourier transforms for nonequispaced data, SIAM J. Sci. Comput., 14 (1993), pp. 1368-1393.
-
(1993)
SIAM J. Sci. Comput.
, vol.14
, pp. 1368-1393
-
-
Dutt, A.1
Rokhlin, V.2
-
24
-
-
48249115600
-
Fast directional multilevel algorithms for oscillatory kernels
-
B. Engquist and L. Ying, Fast directional multilevel algorithms for oscillatory kernels, SIAM J. Sci. Comput., 29 (2007), pp. 1710-1737.
-
(2007)
SIAM J. Sci. Comput.
, vol.29
, pp. 1710-1737
-
-
Engquist, B.1
Ying, L.2
-
25
-
-
70350462131
-
A fast directional algorithm for high frequency acoustic scattering in two dimensions
-
to appear
-
B. Engquist and L. Ying, A fast directional algorithm for high frequency acoustic scattering in two dimensions, Commun. Math. Sci., to appear.
-
Commun. Math. Sci.
-
-
Engquist, B.1
Ying, L.2
-
26
-
-
0000396658
-
A fast algorithm for particle simulations
-
L. Greengard and V. Rokhlin, A fast algorithm for particle simulations, J. Comput. Phys., 73 (1987), pp. 325-348.
-
(1987)
J. Comput. Phys.
, vol.73
, pp. 325-348
-
-
Greengard, L.1
Rokhlin, V.2
-
27
-
-
0003216822
-
Efficient algorithms for computing a strong rank-revealing QR factorization
-
M. Gu and S. C. Eisenstat, Efficient algorithms for computing a strong rank-revealing QR factorization, SIAM J. Sci. Comput., 17 (1996), pp. 848-869. (Pubitemid 126621180)
-
(1996)
SIAM Journal of Scientific Computing
, vol.17
, Issue.4
, pp. 848-869
-
-
Gu, M.1
Eisenstat, S.C.2
-
28
-
-
0001617415
-
On the fast matrix multiplication in the boundary element method by panel clustering
-
W. Hackbusch and Z. P. Nowak, On the fast matrix multiplication in the boundary element method by panel clustering, Numer. Math., 54 (1989), pp. 463-491.
-
(1989)
Numer. Math.
, vol.54
, pp. 463-491
-
-
Hackbusch, W.1
Nowak, Z.P.2
-
29
-
-
33746832130
-
A two-dimensional wavelet-packet transform for matrix compression of integral equations with highly oscillatory kernel
-
DOI 10.1016/j.cam.2005.11.001, PII S0377042705006552
-
D. Huybrechs and S. Vandewalle, A two-dimensional wavelet-packet transform for matrix compression of integral equations with highly oscillatory kernel, J. Comput. Appl. Math., 197 (2006), pp. 218-232. (Pubitemid 44176251)
-
(2006)
Journal of Computational and Applied Mathematics
, vol.197
, Issue.1
, pp. 218-232
-
-
Huybrechs, D.1
Vandewalle, S.2
-
30
-
-
0030216149
-
A multilevel matrix decomposition algorithm for analyzing scattering from large structures
-
PII S0018926X96047539
-
E. Michielssen and A. Boag, A multilevel matrix decomposition algorithm for analyzing scattering from large structures, IEEE Trans. Antennas and Propagation, 44 (1996), pp. 1086-1093. (Pubitemid 126780763)
-
(1996)
IEEE Transactions on Antennas and Propagation
, vol.44
, Issue.8
, pp. 1086-1093
-
-
Michielssen, E.1
Boag, A.2
-
31
-
-
61849160910
-
-
Technical report/YALE/DCS/TR1384 Yale University, New Haven, CT
-
M. O'Neil and V. Rokhlin, A New Class of Analysis-Based Fast Transforms, Technical report/YALE/DCS/TR1384, Yale University, New Haven, CT, 2007.
-
(2007)
A New Class of Analysis-Based Fast Transforms
-
-
O'Neil, M.1
Rokhlin, V.2
-
32
-
-
0011937243
-
Fast Fourier transforms for nonequispaced data: A tutorial
-
Birkhäuser Boston, Boston, MA
-
D. Potts, G. Steidl, and M. Tasche, Fast Fourier transforms for nonequispaced data: A tutorial, in Modern Sampling Theory, Appl. Numer. Harmon. Anal., Birkhäuser Boston, Boston, MA, 2001, pp. 247-270.
-
(2001)
Modern Sampling Theory, Appl. Numer. Harmon. Anal.
, pp. 247-270
-
-
Potts, D.1
Steidl, G.2
Tasche, M.3
-
34
-
-
0000431418
-
Rapid solution of integral equations of scattering theory in two dimensions
-
V. Rokhlin, Rapid solution of integral equations of scattering theory in two dimensions, J. Comput. Phys., 86 (1990), pp. 414-439.
-
(1990)
J. Comput. Phys.
, vol.86
, pp. 414-439
-
-
Rokhlin, V.1
-
35
-
-
0027851427
-
Diagonal forms of translation operators for the Helmholtz equation in three dimensions
-
V. Rokhlin, Diagonal forms of translation operators for the Helmholtz equation in three dimensions, Appl. Comput. Harmon. Anal., 1 (1993), pp. 82-93.
-
(1993)
Appl. Comput. Harmon. Anal.
, vol.1
, pp. 82-93
-
-
Rokhlin, V.1
-
36
-
-
0029378828
-
Multilevel fast-multipole algorithm for solving combined field integral equations of electromagnetic scattering
-
J. M. Song and W. C. Chew, Multilevel fast-multipole algorithm for solving combined field integral equations of electromagnetic scattering, Microwave Opt. Tech. Lett., 10 (1995), pp. 15-19.
-
(1995)
Microwave Opt. Tech. Lett.
, vol.10
, pp. 15-19
-
-
Song, J.M.1
Chew, W.C.2
-
37
-
-
0003207103
-
Real-variable methods, orthogonality, and oscillatory integrals
-
Princeton University Press, Princeton, NJ
-
E. M. Stein, Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals, Princeton Math. Ser. 43, Princeton University Press, Princeton, NJ, 1993.
-
(1993)
Princeton Math. Ser.
, vol.43
-
-
Stein, E.M.1
Analysis, H.2
-
38
-
-
37549009878
-
-
Technical report, Rice University, Houston, TX
-
W. W. Symes, Mathematical Foundations of Reflection Seismology, Technical report, Rice University, Houston, TX, 1998.
-
(1998)
Mathematical Foundations of Reflection Seismology
-
-
Symes, W.W.1
-
39
-
-
61849166284
-
Sparse Fourier transform via butterfly algorithm
-
L. Ying, Sparse Fourier transform via butterfly algorithm, SIAM J. Sci. Comput., 31 (2009), pp. 1678-1694.
-
(2009)
SIAM J. Sci. Comput.
, vol.31
, pp. 1678-1694
-
-
Ying, L.1
-
40
-
-
84856325298
-
-
University of Texas at Austin, Austin, TX
-
L. Ying and S. Fomel, Fast Computation of Partial Fourier Transforms, Technical report, University of Texas at Austin, Austin, TX, 2008.
-
(2008)
Fast Computation of Partial Fourier Transforms, Technical report
-
-
Ying, L.1
Fomel, S.2
|