-
1
-
-
0346838024
-
Galerkin spectral method for the vorticity and stream function equations
-
F. Auteri, and L. Quartapelle Galerkin spectral method for the vorticity and stream function equations J. Comput. Phys. 149 1999 306 332
-
(1999)
J. Comput. Phys.
, vol.149
, pp. 306-332
-
-
Auteri, F.1
Quartapelle, L.2
-
5
-
-
0032498763
-
The ultraspherical coefficients of the moments of a general-order derivative of an infinitely differentiable function
-
E.H. Doha The ultraspherical coefficients of the moments of a general-order derivative of an infinitely differentiable function J. Comput. Appl. Math. 89 1998 53 72
-
(1998)
J. Comput. Appl. Math.
, vol.89
, pp. 53-72
-
-
Doha, E.H.1
-
6
-
-
0037134397
-
On the coefficients of differentiated expansions and derivatives of Jacobi polynomials
-
E.H. Doha On the coefficients of differentiated expansions and derivatives of Jacobi polynomials J. Phys. A: Math. Gen. 35 2002 3467 3478
-
(2002)
J. Phys. A: Math. Gen.
, vol.35
, pp. 3467-3478
-
-
Doha, E.H.1
-
7
-
-
0037082968
-
On the coefficients of integrated expansions and integrals of ultraspherical polynomials and their applications for solving differential equations
-
E.H. Doha On the coefficients of integrated expansions and integrals of ultraspherical polynomials and their applications for solving differential equations J. Comput. Appl. Math. 139 2002 275 298
-
(2002)
J. Comput. Appl. Math.
, vol.139
, pp. 275-298
-
-
Doha, E.H.1
-
8
-
-
0037303151
-
Explicit formulae for the coefficients of integrated expansions for Jacobi polynomials and their integrals
-
E.H. Doha Explicit formulae for the coefficients of integrated expansions for Jacobi polynomials and their integrals Integr. Transf. Spec. F. 14 1 2003 69 86
-
(2003)
Integr. Transf. Spec. F.
, vol.14
, Issue.1
, pp. 69-86
-
-
Doha, E.H.1
-
9
-
-
0742271179
-
On the construction of recurrence relations for the expansion and connection coefficients in series of Jacobi polynomials
-
E.H. Doha 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
-
10
-
-
33747889876
-
Efficient spectral-Galerkin algorithms for direct solution for second-order differential equations using Jacobi polynomials
-
E.H. Doha, and A.H. Bhrawy 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
-
11
-
-
36348973368
-
Efficient spectral-Galerkin algorithms for direct solution of the integrated forms for second-order equations using ultraspherical polynomials
-
E.H. Doha, and A.H. Bhrawy 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
-
12
-
-
44149096688
-
Efficient spectral-Galerkin algorithms for direct solution of fourth-order differential equations using Jacobi polynomials
-
E.H. Doha, and A.H. Bhrawy 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
-
13
-
-
66049087571
-
Jacobi spectral Galerkin method for the integrated forms of fourth-order elliptic differential equations
-
E.H. Doha, and A.H. Bhrawy Jacobi spectral Galerkin method for the integrated forms of fourth-order elliptic differential equations Numer. Methods PDEs. 25 2009 712 739
-
(2009)
Numer. Methods PDEs.
, vol.25
, pp. 712-739
-
-
Doha, E.H.1
Bhrawy, A.H.2
-
14
-
-
61849140746
-
Jacobi spectral Galerkin method for elliptic Neumann problems
-
E.H. Doha, A.H. Bhrawy, and W.M. Abd-Elhameed Jacobi spectral Galerkin method for elliptic Neumann problems Numer. Algorithms 50 2009 67 91
-
(2009)
Numer. Algorithms
, vol.50
, pp. 67-91
-
-
Doha, E.H.1
Bhrawy, A.H.2
Abd-Elhameed, W.M.3
-
15
-
-
35348984916
-
Jacobi Galerkin spectral method for cylindrical and spherical geometries
-
M. Fernandino, C.A. Dorao, and H.A. Jakobsen Jacobi Galerkin spectral method for cylindrical and spherical geometries Chem. Eng. Sci. 62 2007 6777 6783
-
(2007)
Chem. Eng. Sci.
, vol.62
, pp. 6777-6783
-
-
Fernandino, M.1
Dorao, C.A.2
Jakobsen, H.A.3
-
17
-
-
0003287471
-
Polynomial Approximation of Differential Equations
-
Springer-Verlag Heidelberg, Berlin, New York
-
D. Funaro Polynomial Approximation of Differential Equations Lecturer Notes in Physics 1992 Springer-Verlag Heidelberg, Berlin, New York
-
(1992)
Lecturer Notes in Physics
-
-
Funaro, D.1
-
19
-
-
0002665809
-
Jacobi spectral approximations to differential equations on the half line
-
B.-Y. Guo Jacobi spectral approximations to differential equations on the half line J. Comp. Math. 18 2000 95 112
-
(2000)
J. Comp. Math.
, vol.18
, pp. 95-112
-
-
Guo, B.-Y.1
-
20
-
-
0042825225
-
Jacobi spectral method for differential equations with rough asymptotic behaviors at infinity
-
B.-Y. Guo Jacobi spectral method for differential equations with rough asymptotic behaviors at infinity Comput. Math. Appl. 46 2003 95 104
-
(2003)
Comput. Math. Appl.
, vol.46
, pp. 95-104
-
-
Guo, B.-Y.1
-
21
-
-
49249143705
-
The accurate solution of poisson's equation by expansion in Chebyshev polynomials
-
D.B. Haidvogel, and T. Zang The accurate solution of poisson's equation by expansion in Chebyshev polynomials J. Comput. Phys. 30 1979 167 180
-
(1979)
J. Comput. Phys.
, vol.30
, pp. 167-180
-
-
Haidvogel, D.B.1
Zang, T.2
-
22
-
-
84968475596
-
Improved condition number of spectral methods
-
W. Heinrichs Improved condition number of spectral methods Math. comput. 53 1989 103 119
-
(1989)
Math. Comput.
, vol.53
, pp. 103-119
-
-
Heinrichs, W.1
-
23
-
-
0012866112
-
Spectral methods with sparse matrices
-
W. Heinrichs Spectral methods with sparse matrices Numer. Math. 56 1989 25 41
-
(1989)
Numer. Math.
, vol.56
, pp. 25-41
-
-
Heinrichs, W.1
-
26
-
-
0025448724
-
On the coefficients of integrated expansions of ultraspherical polynomials
-
T.N. Phillips, and A. Karageoghis On the coefficients of integrated expansions of ultraspherical polynomials SIAM J. Numer. Anal. 27 1990 823 830
-
(1990)
SIAM J. Numer. Anal.
, vol.27
, pp. 823-830
-
-
Phillips, T.N.1
Karageoghis, A.2
-
27
-
-
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 1489 1505
-
(1994)
SIAM J. Sci. Comput.
, vol.15
, pp. 1489-1505
-
-
Shen, J.1
-
28
-
-
0002543392
-
Efficient spectral-Galerkin method II: Direct solvers of second-and fourth-order equations using Chebyshev polynomials
-
J. Shen 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
-
29
-
-
0002043336
-
Efficient Chebyshev Legendre Galerkin methods for elliptic problems
-
A.V. Ilin and R. Scott, eds Houston J. Math
-
J. Shen, Efficient Chebyshev Legendre Galerkin methods for elliptic problems, in: A.V. Ilin and R. Scott, eds., Proceedings of ICOSAHOM'95, Houston J. Math., 1996, pp. 233-240.
-
(1996)
Proceedings of ICOSAHOM'95
, pp. 233-240
-
-
Shen, J.1
-
32
-
-
0012740492
-
A note on generalized hypergeometric series
-
(Records for 8 Nov. 1923)
-
G.N. Watson, A note on generalized hypergeometric series, in: Proceedings on London Math. Soc., (2), 23, xiii-xv, 1925, (Records for 8 Nov. 1923).
-
(1925)
Proceedings on London Math. Soc.
, vol.2
, Issue.23
-
-
Watson, G.N.1
|