-
1
-
-
77953082640
-
Multivariate modified Fourier series and application to boundary value problems
-
(to appear) DOI:10.1007/S00211-010-0287-6
-
B. Adcock. Multivariate modified Fourier series and application to boundary value problems. Num. Math. (to appear) DOI:10.1007/S00211-010-0287-6.
-
Num. Math.
-
-
Adcock, B.1
-
2
-
-
67349207404
-
Univariate modified Fourier methods for second order boundary value problems
-
B. Adcock. Univariate modified Fourier methods for second order boundary value problems. BIT, 49(2):249-280, 2009.
-
(2009)
BIT
, vol.49
, Issue.2
, pp. 249-280
-
-
Adcock, B.1
-
3
-
-
0040214718
-
Approximation of periodic functions of many variables by trigonometric polynomials
-
K. I. Babenko. Approximation of periodic functions of many variables by trigonometric polynomials. Soviet Math. Dokl., 1:513-516, 1960.
-
(1960)
Soviet Math. Dokl.
, vol.1
, pp. 513-516
-
-
Babenko, K.I.1
-
4
-
-
35448970222
-
Asymptotic behavior of Eckhoff's method for Fourier series convergence acceleration
-
A. Barkhudaryan, R. Barkhudaryan, and A. Poghosyan. Asymptotic behavior of Eckhoff's method for Fourier series convergence acceleration. Anal. Theory Appl., 23(3):228-242, 2007.
-
(2007)
Anal. Theory Appl.
, vol.23
, Issue.3
, pp. 228-242
-
-
Barkhudaryan, A.1
Barkhudaryan, R.2
Poghosyan, A.3
-
5
-
-
0040275750
-
A united approach to accelerating trigonometric expansions
-
G. Baszenski, F.-J. Delvos, and M. Tasche. A united approach to accelerating trigonometric expansions. Comput. Math. Appl., 30(3-6):33-49, 1995.
-
(1995)
Comput. Math. Appl.
, vol.30
, Issue.3-6
, pp. 33-49
-
-
Baszenski, G.1
Delvos, F.-J.2
Tasche, M.3
-
6
-
-
84968468488
-
Solution of Vandermonde systems of equations
-
A. Björck and V. Pereyra. Solution of Vandermonde systems of equations. Math. Comp., 24:893-903, 1970.
-
(1970)
Math. Comp.
, vol.24
, pp. 893-903
-
-
Björck, A.1
Pereyra, V.2
-
7
-
-
0036570566
-
A comparison of numerical algorithms for Fourier Extension of the first, second, and third kinds
-
J. P. Boyd. A comparison of numerical algorithms for Fourier Extension of the first, second, and third kinds. J. Comput. Phys., 178:118-160, 2002.
-
(2002)
J. Comput. Phys.
, vol.178
, pp. 118-160
-
-
Boyd, J.P.1
-
8
-
-
84968510025
-
Accurate and efficient reconstruction of discontinuous functions from truncated series expansions
-
K. S. Eckhoff. Accurate and efficient reconstruction of discontinuous functions from truncated series expansions. Math. Comp., 61(204):745-763, 1993.
-
(1993)
Math. Comp.
, vol.61
, Issue.204
, pp. 745-763
-
-
Eckhoff, K.S.1
-
9
-
-
21844495790
-
Accurate reconstructions of functions of finite regularity from truncated Fourier series expansions
-
K. S. Eckhoff. Accurate reconstructions of functions of finite regularity from truncated Fourier series expansions. Math. Comp., 64(210):671-690, 1995.
-
(1995)
Math. Comp.
, vol.64
, Issue.210
, pp. 671-690
-
-
Eckhoff, K.S.1
-
10
-
-
0032363325
-
On a high order numerical method for functions with singularities
-
K. S. Eckhoff. On a high order numerical method for functions with singularities. Math. Comp., 67(223):1063-1087, 1998.
-
(1998)
Math. Comp.
, vol.67
, Issue.223
, pp. 1063-1087
-
-
Eckhoff, K.S.1
-
11
-
-
0000082767
-
Norm estimates for inverses of Vandermonde matrices
-
W. Gautschi. Norm estimates for inverses of Vandermonde matrices. Numer. Math., 23:337-347, 1975.
-
(1975)
Numer. Math.
, vol.23
, pp. 337-347
-
-
Gautschi, W.1
-
12
-
-
0031381548
-
On the Gibbs' phenomenon and its resolution
-
D. Gottlieb and C-W. Shu. On the Gibbs' phenomenon and its resolution. SIAM Rev., 39(4):644-668, 1997.
-
(1997)
SIAM Rev.
, vol.39
, Issue.4
, pp. 644-668
-
-
Gottlieb, D.1
Shu, C.-W.2
-
13
-
-
0002201787
-
On the Gibbs phenomenon I: Recovering exponential accuracy from the Fourier partial sum of a nonperiodic analytic function
-
D. Gottlieb, C-W. Shu, A. Solomonoff, and H. Vandeven. On the Gibbs phenomenon I: Recovering exponential accuracy from the Fourier partial sum of a nonperiodic analytic function. J. Comput. Appl. Math., 43(1-2):91-98, 1992.
-
(1992)
J. Comput. Appl. Math.
, vol.43
, Issue.1-2
, pp. 91-98
-
-
Gottlieb, D.1
Shu, C.-W.2
Solomonoff, A.3
Vandeven, H.4
-
14
-
-
0036457301
-
Accuracy and stability of numerical algorithms
-
2nd edition
-
N. J. Higham. Accuracy and stability of numerical algorithms. SIAM, 2nd edition, 2002.
-
(2002)
SIAM
-
-
Higham, N.J.1
-
15
-
-
77953082965
-
-
Technical report NA2009/04, DAMTP, University of Cambridge
-
D. Huybrechs, A. Iserles, and S. P. Nørsett. From high oscillation to rapid approximation V: The equilateral triangle. Technical report NA2009/04, DAMTP, University of Cambridge, 2009.
-
(2009)
From high oscillation to rapid approximation V: The equilateral triangle
-
-
Huybrechs, D.1
Iserles, A.2
Nørsett, S.P.3
-
16
-
-
78649373717
-
From high oscillation to rapid approximation IV: Accelerating convergence
-
(to appear) DOI:10.1093/imanum/drp046
-
D. Huybrechs, A. Iserles, and S. P. Nørsett. From high oscillation to rapid approximation IV: Accelerating convergence. IMA J. Num. Anal. (to appear) DOI:10.1093/imanum/drp046.
-
IMA J. Num. Anal.
-
-
Huybrechs, D.1
Iserles, A.2
Nørsett, S.P.3
-
17
-
-
55849141690
-
From high oscillation to rapid approximation I: Modified Fourier expansions
-
A. Iserles and S. P. Nørsett. From high oscillation to rapid approximation I: Modified Fourier expansions. IMA J. Num. Anal., 28:862-887, 2008.
-
(2008)
IMA J. Num. Anal.
, vol.28
, pp. 862-887
-
-
Iserles, A.1
Nørsett, S.P.2
-
18
-
-
71049132199
-
From high oscillation to rapid approximation III: Multivariate expansions
-
A. Iserles and S. P. Norsett. From high oscillation to rapid approximation III: Multivariate expansions. IMA J. Num. Anal., 29:882-916, 2009.
-
(2009)
IMA J. Num. Anal.
, vol.29
, pp. 882-916
-
-
Iserles, A.1
Norsett, S.P.2
-
19
-
-
84968502853
-
Accelerating convergence of trigonometric approximations
-
W. B. Jones and G. Hardy. Accelerating convergence of trigonometric approximations. Math. Comp., 2(111):547-560, 1970.
-
(1970)
Math. Comp.
, vol.2
, Issue.111
, pp. 547-560
-
-
Jones, W.B.1
Hardy, G.2
-
20
-
-
33746603992
-
Approximate Methods of Higher Analysis
-
New York, 3rd edition
-
L. V. Kantorovich and V. I. Krylov. Approximate Methods of Higher Analysis. Interscience, New York, 3rd edition, 1958.
-
(1958)
Interscience
-
-
Kantorovich, L.V.1
Krylov, V.I.2
-
23
-
-
0040275747
-
Computational techniques based on the Lanczos representation
-
J. N. Lyness. Computational techniques based on the Lanczos representation. Math. Comp., 28(125):81-123, 1974.
-
(1974)
Math. Comp.
, vol.28
, Issue.125
, pp. 81-123
-
-
Lyness, J.N.1
-
26
-
-
33748869591
-
Asymptotic errors of accelerated two-dimensional trigonometric approximations
-
Yerevan, Armenia (G. A. Barsegian, H. G. W. Begehr, H. G. Ghazaryan, A. Nersessian eds.), Yervan
-
A. Nersessian and A. Poghosyan. Asymptotic errors of accelerated two-dimensional trigonometric approximations. Proceedings of the ISAAC fourth Conference on Analysis. Yerevan, Armenia (G. A. Barsegian, H. G. W. Begehr, H. G. Ghazaryan, A. Nersessian eds.), Yervan, pp. 70-78, 2004.
-
(2004)
Proceedings of the ISAAC fourth Conference on Analysis
, pp. 70-78
-
-
Nersessian, A.1
Poghosyan, A.2
-
27
-
-
77957340712
-
The convergence acceleration of two-dimensional Fourier interpolation
-
A. Nersessian and A. Poghosyan. The convergence acceleration of two-dimensional Fourier interpolation. Armenian Journal of Mathematics, 1:50-63, 2008.
-
(2008)
Armenian Journal of Mathematics
, vol.1
, pp. 50-63
-
-
Nersessian, A.1
Poghosyan, A.2
-
28
-
-
67749097840
-
On the convergence rate of a modified Fourier series
-
S. Olver. On the convergence rate of a modified Fourier series. Math. Comp., 78:1629-1645, 2009.
-
(2009)
Math. Comp.
, vol.78
, pp. 1629-1645
-
-
Olver, S.1
-
29
-
-
78649378619
-
On an autocorrection phenomenon of the Krylov-Gottlieb-Eckhoff method
-
(to appear) DOI:10.1093/imanum/drp043
-
A. Poghosyan. On an autocorrection phenomenon of the Krylov-Gottlieb-Eckhoff method. IMA J. Num. Anal. (to appear) DOI:10.1093/imanum/drp043.
-
IMA J. Num. Anal.
-
-
Poghosyan, A.1
-
31
-
-
35348892228
-
Filters, mollifiers and the computation of the Gibbs' phenomenon
-
E. Tadmor. Filters, mollifiers and the computation of the Gibbs' phenomenon. Acta Numerica, 16:305-378, 2007.
-
(2007)
Acta Numerica
, vol.16
, pp. 305-378
-
-
Tadmor, E.1
-
32
-
-
29144526226
-
Approximation of Periodic Functions
-
New York
-
V. Temlyakov. Approximation of Periodic Functions. Nova Sci., New York, 1993.
-
(1993)
Nova Sci.
-
-
Temlyakov, V.1
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