-
1
-
-
0033908352
-
Approximation properties of a mapped Chebyshev method
-
M. R. ABRIL-RAYMUNDO AND B. GARCÍ-ARCHILLA, Approximation properties of a mapped Chebyshev method, Appl. Numer. Math., 32 (2000), pp. 119-136.
-
(2000)
Appl. Numer. Math.
, vol.32
, pp. 119-136
-
-
Abril-Raymundo, M.R.1
Garcí-Archilla, B.2
-
2
-
-
0034404929
-
Optimal estimates for lower and upper bounds of approximation errors in the p-version of the finite element method in two dimensions
-
I. BABUŠKA AND B. GUO, Optimal estimates for lower and upper bounds of approximation errors in the p-version of the finite element method in two dimensions, Numer. Math., 85 (2000), pp. 219-255.
-
(2000)
Numer. Math.
, vol.85
, pp. 219-255
-
-
Babuška, I.1
Guo, B.2
-
3
-
-
0001334450
-
An adaptive pseudospectral method for reaction diffusion problems
-
A. BAYLISS, D. GOTTLIEB, B. J. MATKOWSKY, AND M. MINKOFF, An adaptive pseudospectral method for reaction diffusion problems, J. Comput. Phys., 81 (1989), pp. 421-443.
-
(1989)
J. Comput. Phys.
, vol.81
, pp. 421-443
-
-
Bayliss, A.1
Gottlieb, D.2
Matkowsky, B.J.3
Minkoff, M.4
-
4
-
-
28144442068
-
Mappings and accuracy for Chebyshev pseudo-spectral approximations
-
A. BAYLISS AND E. TURKEL, Mappings and accuracy for Chebyshev pseudo-spectral approximations, J. Comput. Phys., 101 (1992), pp. 349-359.
-
(1992)
J. Comput. Phys.
, vol.101
, pp. 349-359
-
-
Bayliss, A.1
Turkel, E.2
-
5
-
-
67349095304
-
Spectral method
-
Handb. Numer. Anal. 5, P. G. Ciarlet and L. L. Lions, eds., North-Holland, Amsterdam
-
C. BERNARDI AND Y. MADAY, Spectral method, in Handbook of Numerical Analysis Vol. 5, Handb. Numer. Anal. 5, P. G. Ciarlet and L. L. Lions, eds., North-Holland, Amsterdam, 1997, pp. 209-485.
-
(1997)
Handbook of Numerical Analysis
, vol.5
, pp. 209-485
-
-
Bernardi, C.1
Maday, Y.2
-
6
-
-
0002717130
-
Orthogonal rational functions on a semi-infinite interval
-
J. P. BOYD, Orthogonal rational functions on a semi-infinite interval, J. Comput. Phys., 70 (1987), pp. 63-88.
-
(1987)
J. Comput. Phys.
, vol.70
, pp. 63-88
-
-
Boyd, J.P.1
-
7
-
-
0003422931
-
-
Dover Publications, Mineola, NY
-
J. P. BOYD, Chebyshev and Fourier Spectral Methods, 2nd ed., Dover Publications, Mineola, NY, 2001.
-
(2001)
Chebyshev and Fourier Spectral Methods, 2nd Ed.
-
-
Boyd, J.P.1
-
8
-
-
0003766476
-
-
Springer-Verlag, New York
-
C. CANUTO, M. Y. HUSSAINI, A. QUARTERONI, AND T. A. ZANG, Spectral Methods in Fluid Dynamics, Springer-Verlag, New York, 1987.
-
(1987)
Spectral Methods in Fluid Dynamics
-
-
Canuto, C.1
Hussaini, M.Y.2
Quarteroni, A.3
Zang, T.A.4
-
9
-
-
0034190247
-
A pseudospectral collocation time-domain method for diffractive optics
-
Proceedings of the Fourth International Conference on Spectral and High Order Methods (Herzliya, 1998)
-
P. G. DINESEN, J. S. HESTHAVEN, AND J. P. LYNOV, A pseudospectral collocation time-domain method for diffractive optics, in Proceedings of the Fourth International Conference on Spectral and High Order Methods (Herzliya, 1998), Appl. Numer. Math., 33 (2000), pp. 199-206.
-
(2000)
Appl. Numer. Math.
, vol.33
, pp. 199-206
-
-
Dinesen, P.G.1
Hesthaven, J.S.2
Lynov, J.P.3
-
10
-
-
0000532656
-
Spectral simulation of supersonic reactive flows
-
W. S. DON AND D. GOTTLIEB, Spectral simulation of supersonic reactive flows, SIAM J. Numer. Anal., 35 (1998), pp. 2370-2384.
-
(1998)
SIAM J. Numer. Anal.
, vol.35
, pp. 2370-2384
-
-
Don, W.S.1
Gottlieb, D.2
-
12
-
-
0003543733
-
-
Cambridge University Press, Cambridge, UK
-
J. E. LITTLEWOOD, G. H. HARDY, AND G. PÓLYA, Inequalities, Cambridge University Press, Cambridge, UK, 1952.
-
(1952)
Inequalities
-
-
Littlewood, J.E.1
Hardy, G.H.2
Pólya, G.3
-
13
-
-
0002193620
-
Numerical analysis of spectral methods: Theory and applications
-
SIAM, Philadelphia
-
D. GOTTLIEB AND S. A. ORSZAG, Numerical Analysis of Spectral Methods: Theory and Applications, CBMS-NSF Regional Conf. Ser. in Appl. Math. 26, SIAM, Philadelphia, 1977.
-
(1977)
CBMS-NSF Regional Conf. Ser. in Appl. Math.
, vol.26
-
-
Gottlieb, D.1
Orszag, S.A.2
-
14
-
-
0000391786
-
Numerical solution of problems in unbounded regions: Coordinates transforms
-
C. E. GROSCH AND S. A. ORSZAG, Numerical solution of problems in unbounded regions: Coordinates transforms, J. Comput. Phys., 25 (1977), pp. 273-296.
-
(1977)
J. Comput. Phys.
, vol.25
, pp. 273-296
-
-
Grosch, C.E.1
Orszag, S.A.2
-
15
-
-
0042830865
-
Jacobi interpolation approximations and their applications to singular differential equations
-
B.-Y. Guo AND L. L. WANG, Jacobi interpolation approximations and their applications to singular differential equations, Adv. Comput. Math., 14 (2001), pp. 227-276.
-
(2001)
Adv. Comput. Math.
, vol.14
, pp. 227-276
-
-
Guo, B.-Y.1
Wang, L.L.2
-
16
-
-
0037049919
-
Chebyshev rational spectral and pseudospectral methods on a semi-infinite interval
-
B.-Y. GUO, J. SHEN, AND Z.-Q. WANG, Chebyshev rational spectral and pseudospectral methods on a semi-infinite interval, Internat, J. Numer. Methods Engrg., 53 (2002), pp. 65-84.
-
(2002)
Internat, J. Numer. Methods Engrg.
, vol.53
, pp. 65-84
-
-
Guo, B.-Y.1
Shen, J.2
Wang, Z.-Q.3
-
17
-
-
0034652883
-
Jacobi approximations in certain Hubert spaces and their applications to singular differential equations
-
B.-Y. GUO, Jacobi approximations in certain Hubert spaces and their applications to singular differential equations, J. Math. Anal. Appl., 243 (2000), pp. 373-408.
-
(2000)
J. Math. Anal. Appl.
, vol.243
, pp. 373-408
-
-
Guo, B.-Y.1
-
18
-
-
0034197003
-
A rational approximation and its applications to differential equations on the half line
-
B.-Y. GUO, J. SHEN, AND Z.-Q. WANG, A rational approximation and its applications to differential equations on the half line, J. Sci. Comput., 15 (2000), pp. 117-147.
-
(2000)
J. Sci. Comput.
, vol.15
, pp. 117-147
-
-
Guo, B.-Y.1
Shen, J.2
Wang, Z.-Q.3
-
19
-
-
15744377472
-
Jacobi approximations in certain Besov spaces
-
submitted
-
B.-Y. GUO AND L.-L. WANG, Jacobi approximations in certain Besov spaces, J. Approx. Theory, submitted.
-
J. Approx. Theory
-
-
Guo, B.-Y.1
Wang, L.-L.2
-
21
-
-
0030386328
-
A new efficient spectral-Galerkin method for singular perturbation problems
-
W. B. LIU AND J. SHEN, A new efficient spectral-Galerkin method for singular perturbation problems, J. Sci. Comput., 11 (1996), pp. 411-437.
-
(1996)
J. Sci. Comput.
, vol.11
, pp. 411-437
-
-
Liu, W.B.1
Shen, J.2
-
22
-
-
0035425658
-
Error analysis for a Galerkin spectral method with coordinate transformation for solving singularly perturbed problems
-
W. B. LIU AND T. TANG, Error analysis for a Galerkin spectral method with coordinate transformation for solving singularly perturbed problems, Appl. Numer. Math., 38 (2001), pp. 315-345.
-
(2001)
Appl. Numer. Math.
, vol.38
, pp. 315-345
-
-
Liu, W.B.1
Tang, T.2
-
23
-
-
0037249882
-
Accuracy, resolution, and stability properties of a modified Chebyshev method
-
J. L. MEAD AND R. A. RENAUT, Accuracy, resolution, and stability properties of a modified Chebyshev method, SIAM J. Sci. Comput., 24 (2002), pp. 143-160.
-
(2002)
SIAM J. Sci. Comput.
, vol.24
, pp. 143-160
-
-
Mead, J.L.1
Renaut, R.A.2
-
24
-
-
0000567049
-
Efficient spectral-Galerkin method I. Direct solvers of second- and fourth-order equations using Legendre polynomials
-
J. SHEN, Efficient spectral-Galerkin method I. Direct solvers of second- and fourth-order equations using Legendre polynomials, SIAM J. Sci. Comput., 15 (1994), pp. 1489-1505.
-
(1994)
SIAM J. Sci. Comput.
, vol.15
, pp. 1489-1505
-
-
Shen, J.1
-
25
-
-
0002043336
-
Efficient Chebyshev-Legendre Galerkin methods for elliptic problems
-
Proceedings of ICOSAHOM'95, A. V. Ilin and R. Scott, eds., Houston
-
J. SHEN, Efficient Chebyshev-Legendre Galerkin methods for elliptic problems, in Proceedings of ICOSAHOM'95, A. V. Ilin and R. Scott, eds., Houston J. Math., Houston, 1996, pp. 233-240.
-
(1996)
Houston J. Math.
, pp. 233-240
-
-
Shen, J.1
-
26
-
-
0000364253
-
A semi-implicit ocean circulation model using a generalized topography-following coordinate system
-
Y. H. SONG AND D. HAIDVOGEL, A semi-implicit ocean circulation model using a generalized topography-following coordinate system, J. Comput. Phys., 115 (1994), pp. 228-244.
-
(1994)
J. Comput. Phys.
, vol.115
, pp. 228-244
-
-
Song, Y.H.1
Haidvogel, D.2
-
27
-
-
0001581262
-
Boundary layer resolving pseudospectral methods for singular pertubation problems
-
T. TANG AND M. R. TRUMMER, Boundary layer resolving pseudospectral methods for singular pertubation problems, SIAM J. Sci. Comput., 17 (1996), pp. 430-438.
-
(1996)
SIAM J. Sci. Comput.
, vol.17
, pp. 430-438
-
-
Tang, T.1
Trummer, M.R.2
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