-
2
-
-
0030170667
-
A complete method for the computations of Mathieu characteristic numbers of integer orders
-
ALHARGAN, F. A. 1996. A complete method for the computations of Mathieu characteristic numbers of integer orders. SIAM Rev. 38, 2, 239-255.
-
(1996)
SIAM Rev.
, vol.38
, Issue.2
, pp. 239-255
-
-
Alhargan, F.A.1
-
3
-
-
0032761614
-
The errors in calculating the pseudospectral differentiation matrices for Chebyshev-Gauss-Lobatto points
-
BALTENSPERGER, R. AND BERRUT, J. P. 1999. The errors in calculating the pseudospectral differentiation matrices for Chebyshev-Gauss-Lobatto points. Comput. Math. Appl. 37, 1, 41-48.
-
(1999)
Comput. Math. Appl.
, vol.37
, Issue.1
, pp. 41-48
-
-
Baltensperger, R.1
Berrut, J.P.2
-
4
-
-
0001096265
-
Roundoff error in computing derivatives using the Chebyshev differentiation matrix
-
Feb.
-
BAYLISS, A., CLASS, A., AND MATKOWSKY, B. J. 1995. Roundoff error in computing derivatives using the Chebyshev differentiation matrix. J. Comput. Phys. 116, 2 (Feb.), 380-383.
-
(1995)
J. Comput. Phys.
, vol.116
, Issue.2
, pp. 380-383
-
-
Bayliss, A.1
Class, A.2
Matkowsky, B.J.3
-
5
-
-
0039716033
-
Barycentric formulae for cardinal (sinc-) interpolants
-
BERRUT, J. P. 1989. Barycentric formulae for cardinal (sinc-) interpolants. Numer. Math. 54, 703-718.
-
(1989)
Numer. Math.
, vol.54
, pp. 703-718
-
-
Berrut, J.P.1
-
6
-
-
0000904486
-
The asymptotic coefficients of Hermite function series
-
BOYD, J. P. 1984. The asymptotic coefficients of Hermite function series. J. Comput. Phys. 54, 382-410.
-
(1984)
J. Comput. Phys.
, vol.54
, pp. 382-410
-
-
Boyd, J.P.1
-
8
-
-
0002389094
-
On the errors incurred calculating derivatives using Chebyshev polynomials
-
Mar.
-
BREUER, K. S. AND EVERSON, R. M. 1992. On the errors incurred calculating derivatives using Chebyshev polynomials. J. Comput. Phys. 99, 1 (Mar.), 56-67.
-
(1992)
J. Comput. Phys.
, vol.99
, Issue.1
, pp. 56-67
-
-
Breuer, K.S.1
Everson, R.M.2
-
9
-
-
0003766476
-
-
Springer-Verlag, Berlin, Germany
-
CANUTO, C., HUSSAINI, M. Y., QUARTERONI, A., AND ZANG, T. A. 1988. Spectral Methods in Fluid Dynamics. Springer-Verlag, Berlin, Germany.
-
(1988)
Spectral Methods in Fluid Dynamics
-
-
Canuto, C.1
Hussaini, M.Y.2
Quarteroni, A.3
Zang, T.A.4
-
11
-
-
0001044964
-
Accuracy and speed in computing the Chebyshev collocation derivative
-
Nov.
-
DON, W. S. AND SOLOMONOFF, A. 1995. Accuracy and speed in computing the Chebyshev collocation derivative. SIAM J. Sci. Comput. 16, 6 (Nov.), 1253-1268.
-
(1995)
SIAM J. Sci. Comput.
, vol.16
, Issue.6
, pp. 1253-1268
-
-
Don, W.S.1
Solomonoff, A.2
-
14
-
-
0009902928
-
Fast algorithms for polynomial interpolation, integration, and differentiation
-
DUTT, A., GU, M., AND ROKHLIN, V. 1996. Fast algorithms for polynomial interpolation, integration, and differentiation. SIAM J. Numer. Anal. 33, 5, 1689-1711.
-
(1996)
SIAM J. Numer. Anal.
, vol.33
, Issue.5
, pp. 1689-1711
-
-
Dutt, A.1
Gu, M.2
Rokhlin, V.3
-
15
-
-
0001540868
-
Sine function computation of the eigenvalues of Sturm-Liouville problems
-
Mar. 1
-
EGGERT, N., JARRATT, M., AND LUND, J. 1987. Sine function computation of the eigenvalues of Sturm-Liouville problems. J. Comput. Phys. 69, 1 (Mar. 1), 209-229.
-
(1987)
J. Comput. Phys.
, vol.69
, Issue.1
, pp. 209-229
-
-
Eggert, N.1
Jarratt, M.2
Lund, J.3
-
20
-
-
0002627298
-
Theory and applications of spectral methods
-
R. Voigt, D. Gottlieb, and M. Hussaini, Eds.
-
GOTTLIEB, D., HUSSAINI, M. Y., AND ORSZAG, S. A. 1984. Theory and applications of spectral methods. In Spectral Methods for Partial Differential Equations, R. Voigt, D. Gottlieb, and M. Hussaini, Eds. 1-54.
-
(1984)
Spectral Methods for Partial Differential Equations
, pp. 1-54
-
-
Gottlieb, D.1
Hussaini, M.Y.2
Orszag, S.A.3
-
21
-
-
0026202215
-
Spectral integration and two-point boundary value problems
-
Aug.
-
GREENGARD, L. 1991. Spectral integration and two-point boundary value problems. SIAM J. Numer. Anal. 28, 4 (Aug.), 1071-1080.
-
(1991)
SIAM J. Numer. Anal.
, vol.28
, Issue.4
, pp. 1071-1080
-
-
Greengard, L.1
-
22
-
-
84990556194
-
On the numerical solution of two-point boundary value problems
-
GREENGARD, L. AND ROKHLIN, V. 1991. On the numerical solution of two-point boundary value problems. Comm. Pure Appl. Math. 44, 419-452.
-
(1991)
Comm. Pure Appl. Math.
, vol.44
, pp. 419-452
-
-
Greengard, L.1
Rokhlin, V.2
-
25
-
-
0026972778
-
The pseudospectral method for third-order differential equations
-
Dec.
-
HUANG, W. AND SLOAN, D. M. 1992. The pseudospectral method for third-order differential equations. SIAM J. Numer. Anal. 29, 6 (Dec.), 1626-1647.
-
(1992)
SIAM J. Numer. Anal.
, vol.29
, Issue.6
, pp. 1626-1647
-
-
Huang, W.1
Sloan, D.M.2
-
26
-
-
21344483926
-
A new pseudospectral method with upwind features
-
HUANG, W. AND SLOAN, D. M. 1993. A new pseudospectral method with upwind features. IMA J. Num. Anal. 13, 413-430.
-
(1993)
IMA J. Num. Anal.
, vol.13
, pp. 413-430
-
-
Huang, W.1
Sloan, D.M.2
-
27
-
-
0000689353
-
The pseudospectral method for solving differential eigenvalue problems
-
Apr.
-
HUANG, W. AND SLOAN, D. M. 1994. The pseudospectral method for solving differential eigenvalue problems. J. Comput. Phys. 111, 2 (Apr.), 399-409.
-
(1994)
J. Comput. Phys.
, vol.111
, Issue.2
, pp. 399-409
-
-
Huang, W.1
Sloan, D.M.2
-
28
-
-
84959707122
-
An accurate solution of the Orr-Sommerfeld equation
-
ORSZAG, S. A. 1971. An accurate solution of the Orr-Sommerfeld equation. J. Fluid Mech. 50, 689-703.
-
(1971)
J. Fluid Mech.
, vol.50
, pp. 689-703
-
-
Orszag, S.A.1
-
29
-
-
0008689293
-
Numerical solution of Sturm-Liouville problems
-
Oxford University Press, Oxford, UK
-
PRYCE, J. D. 1993. Numerical Solution of Sturm-Liouville Problems. Monographs on Numerical Analysis. Oxford University Press, Oxford, UK.
-
(1993)
Monographs on Numerical Analysis
-
-
Pryce, J.D.1
-
30
-
-
0032092695
-
On stability of streamwise streaks and transition thresholds in plane channel flows
-
REDDY, S. C., SCHMID, P. J., BAGGETT, J. S., AND HENNINGSON, D. S. 1998. On stability of streamwise streaks and transition thresholds in plane channel flows. J. Fluid Mech. 365, 269-303.
-
(1998)
J. Fluid Mech.
, vol.365
, pp. 269-303
-
-
Reddy, S.C.1
Schmid, P.J.2
Baggett, J.S.3
Henningson, D.S.4
-
31
-
-
0012475586
-
Chebyshev expansions for the error and related functions
-
SCHONFELDER, J. L. 1978. Chebyshev expansions for the error and related functions. Math. Comput. 32, 1232-1240.
-
(1978)
Math. Comput.
, vol.32
, pp. 1232-1240
-
-
Schonfelder, J.L.1
-
32
-
-
0019368081
-
Error estimates for the solution of the radial Schrödinger equation by the Rayleigh-Ritz finite element method
-
SCHOOMBIE, S. W. AND BOTHA, J. F. 1981. Error estimates for the solution of the radial Schrödinger equation by the Rayleigh-Ritz finite element method. IMA J. Num. Anal. 1, 47-63.
-
(1981)
IMA J. Num. Anal.
, vol.1
, pp. 47-63
-
-
Schoombie, S.W.1
Botha, J.F.2
-
34
-
-
0015281862
-
Some poised and nonpoised problems of interpolation
-
SHARMA, A. 1972. Some poised and nonpoised problems of interpolation. SIAM Rev. 14, 129-151.
-
(1972)
SIAM Rev.
, vol.14
, pp. 129-151
-
-
Sharma, A.1
-
36
-
-
0022694911
-
A proposal for Toeplitz matrix calculations
-
Apr.
-
STRANG, G. 1986. A proposal for Toeplitz matrix calculations. Stud. Appl. Math. 74, 2 (Apr.), 171-176.
-
(1986)
Stud. Appl. Math.
, vol.74
, Issue.2
, pp. 171-176
-
-
Strang, G.1
-
37
-
-
0022661834
-
The exponential accuracy of Fourier and Chebyshev differencing methods
-
Feb.
-
TADMOR, E. 1986. The exponential accuracy of Fourier and Chebyshev differencing methods. SIAM J. Numer. Anal. 23, 1 (Feb.), 1-10.
-
(1986)
SIAM J. Numer. Anal.
, vol.23
, Issue.1
, pp. 1-10
-
-
Tadmor, E.1
-
38
-
-
0001290337
-
The Hermite spectral method for Gaussian-type functions
-
May
-
TANG, T. 1993. The Hermite spectral method for Gaussian-type functions. SIAM J. Sci. Comput. 14, 3 (May), 594-606.
-
(1993)
SIAM J. Sci. Comput.
, vol.14
, Issue.3
, pp. 594-606
-
-
Tang, T.1
-
39
-
-
0001581262
-
Boundary layer resolving pseudospectral methods for singular perturbation problems
-
TANG, T. AND TRUMMER, M. R. 1996. Boundary layer resolving pseudospectral methods for singular perturbation problems. SIAM J. Sci. Comput. 17, 2, 430-438.
-
(1996)
SIAM J. Sci. Comput.
, vol.17
, Issue.2
, pp. 430-438
-
-
Tang, T.1
Trummer, M.R.2
-
40
-
-
0004161090
-
-
THE MATHWORKS, INC. 1998. MATLAB 5.2.
-
(1998)
MATLAB 5.2
-
-
-
42
-
-
21844493361
-
Hydrodynamic stability and turbulence: Beyond transients to a self-sustaining process
-
WALEFFE, F. 1995. Hydrodynamic stability and turbulence: Beyond transients to a self-sustaining process. Stud. Appl. Math. 95, 319-343.
-
(1995)
Stud. Appl. Math.
, vol.95
, pp. 319-343
-
-
Waleffe, F.1
-
43
-
-
0003218914
-
Spectral methods based on nonclassical orthogonal polynomials
-
W. Gautschi, G. Golub, and G. Opfer, Eds. Birkhäuser, Basel
-
WEIDEMAN, J. A. C. 1999. Spectral methods based on nonclassical orthogonal polynomials. In Approximations and Computation of Orthogonal Polynomials, W. Gautschi, G. Golub, and G. Opfer, Eds. Birkhäuser, Basel, 239-251.
-
(1999)
Approximations and Computation of Orthogonal Polynomials
, pp. 239-251
-
-
Weideman, J.A.C.1
-
44
-
-
0001399844
-
The eigenvalues of second-order spectral differentiation matrices
-
WEIDEMAN, J. A. C. AND TREFETHEN, L. N. 1988. The eigenvalues of second-order spectral differentiation matrices. SIAM J. Numer. Anal. 25, 1279-1298.
-
(1988)
SIAM J. Numer. Anal.
, vol.25
, pp. 1279-1298
-
-
Weideman, J.A.C.1
Trefethen, L.N.2
-
45
-
-
0001216115
-
Generation of pseudospectral differentiation matrices I
-
WELFERT, B. D. 1997. Generation of pseudospectral differentiation matrices I. SIAM J. Numer. Anal. 34, 4, 1640-1657.
-
(1997)
SIAM J. Numer. Anal.
, vol.34
, Issue.4
, pp. 1640-1657
-
-
Welfert, B.D.1
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