-
4
-
-
0003766476
-
-
Springer-Verlag, New York/Heidelberg/Berlin
-
Canuto C., Hussaini M.Y., Quarteroni A., and Zang T.A. Spectral Methods in Fluid Dynamics (1988), Springer-Verlag, New York/Heidelberg/Berlin
-
(1988)
Spectral Methods in Fluid Dynamics
-
-
Canuto, C.1
Hussaini, M.Y.2
Quarteroni, A.3
Zang, T.A.4
-
5
-
-
0000581486
-
The coefficients of differentiated expansions and derivatives of ultraspherical polynomials
-
Doha E.H. The coefficients of differentiated expansions and derivatives of ultraspherical polynomials. J. Comput. Math. Appl. 21 2-3 (1991) 115-122
-
(1991)
J. Comput. Math. Appl.
, vol.21
, Issue.2-3
, pp. 115-122
-
-
Doha, E.H.1
-
6
-
-
0742271179
-
On the construction of recurrence relations for the expansion and connection coefficients in series of Jacobi polynomials
-
Doha E.H. On the construction of recurrence relations for the expansion and connection coefficients in series of Jacobi polynomials. J. Phys. A: Math. Gen. 37 (2004) 657-675
-
(2004)
J. Phys. A: Math. Gen.
, vol.37
, pp. 657-675
-
-
Doha, E.H.1
-
7
-
-
0037246330
-
Efficient spectral-Galerkin algorithms for direct solution of second-order equations using ultraspherical polynomials
-
Doha E.H., and Abd-Elhameed W.M. Efficient spectral-Galerkin algorithms for direct solution of second-order equations using ultraspherical polynomials. SIAM J. Sci. Comput. 24 2 (2002) 548-571
-
(2002)
SIAM J. Sci. Comput.
, vol.24
, Issue.2
, pp. 548-571
-
-
Doha, E.H.1
Abd-Elhameed, W.M.2
-
8
-
-
33747889876
-
Efficient spectral-Galerkin algorithms for direct solution for second-order differential equations using Jacobi polynomials
-
Doha E.H., and Bhrawy A.H. Efficient spectral-Galerkin algorithms for direct solution for second-order differential equations using Jacobi polynomials. Numer. Algorithms 42 (2006) 137-164
-
(2006)
Numer. Algorithms
, vol.42
, pp. 137-164
-
-
Doha, E.H.1
Bhrawy, A.H.2
-
9
-
-
36348973368
-
Efficient spectral-Galerkin algorithms for direct solution of the integrated forms for second-order equations using ultraspherical polynomials
-
Doha E.H., and Bhrawy A.H. Efficient spectral-Galerkin algorithms for direct solution of the integrated forms for second-order equations using ultraspherical polynomials. ANZIAM J. 48 (2007) 361-386
-
(2007)
ANZIAM J.
, vol.48
, pp. 361-386
-
-
Doha, E.H.1
Bhrawy, A.H.2
-
10
-
-
44149096688
-
Efficient spectral-Galerkin algorithms for direct solution of fourth-order differential equations using Jacobi polynomials
-
Doha E.H., and Bhrawy A.H. Efficient spectral-Galerkin algorithms for direct solution of fourth-order differential equations using Jacobi polynomials. Appl. Numer. Math. 58 (2008) 1224-1244
-
(2008)
Appl. Numer. Math.
, vol.58
, pp. 1224-1244
-
-
Doha, E.H.1
Bhrawy, A.H.2
-
11
-
-
57649110761
-
Efficient spectral ultraspherical-Galerkin algorithms for the direct solution of 2n th-order linear differential equations
-
Doha E.H., Abd-Elhameed W.M., and Bhrawy A.H. Efficient spectral ultraspherical-Galerkin algorithms for the direct solution of 2n th-order linear differential equations. Appl. Math. Modell. 33 (2009) 1982-1996
-
(2009)
Appl. Math. Modell.
, vol.33
, pp. 1982-1996
-
-
Doha, E.H.1
Abd-Elhameed, W.M.2
Bhrawy, A.H.3
-
14
-
-
34447102560
-
On the dual Petrov-Galerkin formulation of the KDV equation on a finite interval
-
Goubet O., and Shen J. On the dual Petrov-Galerkin formulation of the KDV equation on a finite interval. Adv. Diff. Eq. 12 2 (2007) 221-239
-
(2007)
Adv. Diff. Eq.
, vol.12
, Issue.2
, pp. 221-239
-
-
Goubet, O.1
Shen, J.2
-
16
-
-
0000587852
-
Gegenbauer approximations and its applications to differential equations on the whole line
-
Guo B.-Y. Gegenbauer approximations and its applications to differential equations on the whole line. J. Math. Anal. Appl. 226 (1998) 180-206
-
(1998)
J. Math. Anal. Appl.
, vol.226
, pp. 180-206
-
-
Guo, B.-Y.1
-
17
-
-
0034652883
-
Jacobi approximations in certain Hilbert spaces and their applications to singular differential equations
-
Guo B.-Y. Jacobi approximations in certain Hilbert spaces and their applications to singular differential equations. J. Math. Anal. Appl. 243 (2000) 373-408
-
(2000)
J. Math. Anal. Appl.
, vol.243
, pp. 373-408
-
-
Guo, B.-Y.1
-
18
-
-
33745038998
-
Optimal spectral-Galerkin methods using generalized Jacobi polynomials
-
Guo B.-Y., Shen J., and Wang L.-L. Optimal spectral-Galerkin methods using generalized Jacobi polynomials. J. Sci. Comput. 27 (2006) 305-322
-
(2006)
J. Sci. Comput.
, vol.27
, pp. 305-322
-
-
Guo, B.-Y.1
Shen, J.2
Wang, L.-L.3
-
19
-
-
0026972778
-
The pseudospectral method for third-order differential equations
-
Huang W.Z., and Sloan D.M. The pseudospectral method for third-order differential equations. SIAM J. Numer. Anal. 29 (1992) 1626-1647
-
(1992)
SIAM J. Numer. Anal.
, vol.29
, pp. 1626-1647
-
-
Huang, W.Z.1
Sloan, D.M.2
-
21
-
-
0034543430
-
A Legendre-Petrov-Galerkin method and Chebyshev collocation method for third-order differential equations
-
Ma H., and Sun W. A Legendre-Petrov-Galerkin method and Chebyshev collocation method for third-order differential equations. SIAM J. Numer. Anal. 38 (2000) 1425-1438
-
(2000)
SIAM J. Numer. Anal.
, vol.38
, pp. 1425-1438
-
-
Ma, H.1
Sun, W.2
-
22
-
-
0042922604
-
Optimal error estimates of the Legendre-Petrov-Galerkin method for the Kortweg-de Vries equation
-
Ma H., and Sun W. Optimal error estimates of the Legendre-Petrov-Galerkin method for the Kortweg-de Vries equation. SIAM J. Numer. Anal. 39 (2001) 1380-1394
-
(2001)
SIAM J. Numer. Anal.
, vol.39
, pp. 1380-1394
-
-
Ma, H.1
Sun, W.2
-
24
-
-
38249003800
-
Properties of collocation third-derivative operators
-
Merryfield W.J., and Shizgal B. Properties of collocation third-derivative operators. J. Comput. Phys. 105 (1993) 182-185
-
(1993)
J. Comput. Phys.
, vol.105
, pp. 182-185
-
-
Merryfield, W.J.1
Shizgal, B.2
-
26
-
-
0000567049
-
Efficient spectral-Galerkin method. I. Direct solvers of second- and fourth-order equations using Legendre polynomials
-
Shen J. Efficient spectral-Galerkin method. I. Direct solvers of second- and fourth-order equations using Legendre polynomials. SIAM J. Sci. Comput. 15 (1994) 1489-1505
-
(1994)
SIAM J. Sci. Comput.
, vol.15
, pp. 1489-1505
-
-
Shen, J.1
-
27
-
-
0002543392
-
Efficient spectral-Galerkin method. II. Direct solvers of second- and fourth-order equations using Chebyshev polynomials
-
Shen J. Efficient spectral-Galerkin method. II. Direct solvers of second- and fourth-order equations using Chebyshev polynomials. SIAM J. Sci. Comput. 16 (1995) 74-87
-
(1995)
SIAM J. Sci. Comput.
, vol.16
, pp. 74-87
-
-
Shen, J.1
-
28
-
-
9244255255
-
A new dual-Petrov-Galerkin method for third and higher odd-order differential equations: application to the KDV equations
-
Shen J. A new dual-Petrov-Galerkin method for third and higher odd-order differential equations: application to the KDV equations. SIAM J. Numer. Anal. 41 5 (2003) 1595-1619
-
(2003)
SIAM J. Numer. Anal.
, vol.41
, Issue.5
, pp. 1595-1619
-
-
Shen, J.1
|