-
1
-
-
67649765259
-
A combined Filon/asymptotic quadrature method for highly oscillatory problems
-
A. Asheim, A combined Filon/asymptotic quadrature method for highly oscillatory problems, BIT48(3), 425-448 (2008).
-
(2008)
Bit
, vol.48
, Issue.3
, pp. 425-448
-
-
Asheim, A.1
-
2
-
-
84888274516
-
-
A. Asheim, D. Huybrechs, Local solutions to high frequency 2D scattering problems. Technical report, NTNU, Trondheim, 2008.
-
-
-
-
3
-
-
1642344540
-
Short wave scattering, problems and techniques
-
P. Bettess, Short wave scattering, problems and techniques, Philos. Trans. R. Soc. Lond. A362, 421-443 (2004).
-
(2004)
Philos. Trans. R. Soc. Lond. A
, vol.362
, pp. 421-443
-
-
Bettess, P.1
-
7
-
-
63049123070
-
Complex Gaussian quadrature of oscillatory integrals
-
A. Deaño, D. Huybrechs, Complex Gaussian quadrature of oscillatory integrals, Numer. Math. 112(2), 197-219 (2009).
-
(2009)
Numer. Math.
, vol.112
, Issue.2
, pp. 197-219
-
-
Deaño, A.1
Huybrechs, D.2
-
10
-
-
84888278426
-
-
D. Huybrechs, S. Olver, Superinterpolation in highly oscillatory quadrature. Technical report, in preparation.
-
-
-
-
12
-
-
33749021121
-
On the evaluation of highly oscillatory integrals by analytic continuation
-
D. Huybrechs, S. Vandewalle, On the evaluation of highly oscillatory integrals by analytic continuation, SIAM J. Numer. Anal. 44(3), 1026-1048 (2006).
-
(2006)
SIAM J. Numer. Anal.
, vol.44
, Issue.3
, pp. 1026-1048
-
-
Huybrechs, D.1
Vandewalle, S.2
-
13
-
-
38849097005
-
The construction of cubature rules for multivariate highly oscillatory integrals
-
D. Huybrechs, S. Vandewalle, The construction of cubature rules for multivariate highly oscillatory integrals, Math. Comput. 76(260), 1955-1980 (2007).
-
(2007)
Math. Comput.
, vol.76
, Issue.260
, pp. 1955-1980
-
-
Huybrechs, D.1
Vandewalle, S.2
-
14
-
-
44949240467
-
A sparse discretisation for integral equation formulations of high frequency scattering problems
-
D. Huybrechs, S. Vandewalle, A sparse discretisation for integral equation formulations of high frequency scattering problems, SIAM J. Sci. Comput. 29(6), 2305-2328 (2007).
-
(2007)
SIAM J. Sci. Comput.
, vol.29
, Issue.6
, pp. 2305-2328
-
-
Huybrechs, D.1
Vandewalle, S.2
-
15
-
-
18244376597
-
On quadrature methods for highly oscillatory integrals and their implementation
-
A. Iserles, S. P. Nørsett, On quadrature methods for highly oscillatory integrals and their implementation, BIT Numer. Math. 44(4), 755-772 (2004).
-
(2004)
BIT Numer. Math.
, vol.44
, Issue.4
, pp. 755-772
-
-
Iserles, A.1
Nørsett, S.P.2
-
16
-
-
26944452051
-
Efficient quadrature of highly oscillatory integrals using derivatives
-
A. Iserles, S. P. Nørsett, Efficient quadrature of highly oscillatory integrals using derivatives, Proc. R. Soc. A. 461(2057), 1383-1399 (2005).
-
(2005)
Proc. R. Soc. A.
, vol.461
, Issue.2057
, pp. 1383-1399
-
-
Iserles, A.1
Nørsett, S.P.2
-
17
-
-
33746378156
-
Quadrature methods for multivariate highly oscillatory integrals using derivatives
-
A. Iserles, S. P. Nørsett, Quadrature methods for multivariate highly oscillatory integrals using derivatives, Math. Comput. 75, 1233-1258 (2006).
-
(2006)
Math. Comput.
, vol.75
, pp. 1233-1258
-
-
Iserles, A.1
Nørsett, S.P.2
-
18
-
-
0035995563
-
The curious history of Faà di Bruno's formula
-
W. P. Johnson, The curious history of Faà di Bruno's formula, Am. Math. Mon. 109(3), 217-234 (2002).
-
(2002)
Am. Math. Mon.
, vol.109
, Issue.3
, pp. 217-234
-
-
Johnson, W.P.1
-
19
-
-
0030078931
-
Fast integration of rapidly oscillatory functions
-
D. Levin, Fast integration of rapidly oscillatory functions, J. Comput. Appl. Math. 67, 95-101 (1996).
-
(1996)
J. Comput. Appl. Math.
, vol.67
, pp. 95-101
-
-
Levin, D.1
-
22
-
-
34547511512
-
Moment-free numerical approximation of highly oscillatory integrals with stationary points
-
S. Olver, Moment-free numerical approximation of highly oscillatory integrals with stationary points, Eur. J. Appl. Math. 18, 435-447 (2006).
-
(2006)
Eur. J. Appl. Math.
, vol.18
, pp. 435-447
-
-
Olver, S.1
-
23
-
-
33645732701
-
Moment-free numerical integration of highly oscillatory functions
-
S. Olver, Moment-free numerical integration of highly oscillatory functions, IMA J. Numer. Anal. 26(2), 213-227 (2006).
-
(2006)
IMA J. Numer. Anal.
, vol.26
, Issue.2
, pp. 213-227
-
-
Olver, S.1
-
24
-
-
33744750511
-
On the quadrature of multivariate highly oscillatory integrals over non-polytope domains
-
S. Olver, On the quadrature of multivariate highly oscillatory integrals over non-polytope domains, Numer. Math. 103(4), 643-665 (2006).
-
(2006)
Numer. Math.
, vol.103
, Issue.4
, pp. 643-665
-
-
Olver, S.1
-
25
-
-
33644601576
-
Computing the coefficients in Laplace's method
-
J. Wojdylo, Computing the coefficients in Laplace's method, SIAM Rev. 44(1), 76-96 (2006).
-
(2006)
SIAM Rev.
, vol.44
, Issue.1
, pp. 76-96
-
-
Wojdylo, J.1
-
26
-
-
84888275279
-
-
R. Wong, Asymptotic Approximations of Integrals. SIAM Classics (2001).
-
-
-
|