-
1
-
-
84966503230
-
-
National Bureau of Standards, New York
-
[1] M. Abramowitz, I.A. Stegun (Eds.), Handbook of Mathematical Functions, Appl. Maths. Series, vol. 55, National Bureau of Standards, New York, 1970.
-
(1970)
Handbook of Mathematical Functions, Appl. Maths. Series
, vol.55
-
-
Abramowitz, M.1
Stegun, I.A.2
-
2
-
-
0016549172
-
A partical Chebyshev collocation method for differential equations
-
[2] G.K. Boateng, A partical Chebyshev collocation method for differential equations, Internat. J. Comput. Math. B 5 (1975) 59-79.
-
(1975)
Internat. J. Comput. Math. B
, vol.5
, pp. 59-79
-
-
Boateng, G.K.1
-
4
-
-
84966260211
-
An extension of Olver's method for the numerical solution of linear recurrence relations
-
[4] J.R. Cash, An extension of Olver's method for the numerical solution of linear recurrence relations, Math. Comput. 32 (1978) 497-510.
-
(1978)
Math. Comput.
, vol.32
, pp. 497-510
-
-
Cash, J.R.1
-
5
-
-
84966203066
-
A note on Olver's algorithm for the solution of second-order linear difference equations
-
[5] J.R. Cash, A note on Olver's algorithm for the solution of second-order linear difference equations, Math. Comput. 35 (1980a) 767-772.
-
(1980)
Math. Comput.
, vol.35
, pp. 767-772
-
-
Cash, J.R.1
-
6
-
-
0039998338
-
A note on the numerical solution of linear recurrence relations
-
[6] J.R. Cash, A note on the numerical solution of linear recurrence relations, Numer. Math. 34 (1980b) 371-386.
-
(1980)
Numer. Math.
, vol.34
, pp. 371-386
-
-
Cash, J.R.1
-
7
-
-
0025226701
-
An accurate solution of parabolic equations by expansion in ultraspherical polynomials
-
[7] E.H. Doha, An accurate solution of parabolic equations by expansion in ultraspherical polynomials, J. Comput. Math. Appl. 39 (1990) 75-88.
-
(1990)
J. Comput. Math. Appl.
, vol.39
, pp. 75-88
-
-
Doha, E.H.1
-
8
-
-
0000581486
-
The coefficients of differentiated expansions and derivatives of ultraspherical polynomials
-
[8] E.H. Doha, The coefficients of differentiated expansions and derivatives of ultraspherical polynomials, J. Comput. Math. Appl. 21 (1991) 115-122.
-
(1991)
J. Comput. Math. Appl.
, vol.21
, pp. 115-122
-
-
Doha, E.H.1
-
9
-
-
0008044913
-
The Chebyshev coefficients of general order derivatives of an infinitely differentiable function in two or three variables
-
[9] E.H. Doha, The Chebyshev coefficients of general order derivatives of an infinitely differentiable function in two or three variables, Ann. Univ. Sci. Budapest. Sect. Comput. 13 (1992) 83-91.
-
(1992)
Ann. Univ. Sci. Budapest. Sect. Comput.
, vol.13
, pp. 83-91
-
-
Doha, E.H.1
-
10
-
-
0041185610
-
The first and second kinds Chebyshev coefficients of the moments of the general order derivative of an infinitely differentiable function
-
[10] E.H. Doha, The first and second kinds Chebyshev coefficients of the moments of the general order derivative of an infinitely differentiable function. Internat. J. Comput. Math. 51 (1994) 21-35.
-
(1994)
Internat. J. Comput. Math.
, vol.51
, pp. 21-35
-
-
Doha, E.H.1
-
11
-
-
0008090902
-
On the coefficients of differentiated expansions of double and triple Legendre polynomials
-
[11] E.H. Doha, On the coefficients of differentiated expansions of double and triple Legendre polynomials, Ann. Univ. Sci. Budapest. Sect. Comput. 15 (1995) 25-35.
-
(1995)
Ann. Univ. Sci. Budapest. Sect. Comput.
, vol.15
, pp. 25-35
-
-
Doha, E.H.1
-
12
-
-
0029541854
-
On the Legendre coefficients of the moments of the general order derivative of an infinitely differentiable function
-
[12] E.H. Doha, S.I. El-Soubhy, On the Legendre coefficients of the moments of the general order derivative of an infinitely differentiable function, Internat. J. Comput. Math. 56 (1, 2) (1995) 107-122.
-
(1995)
Internat. J. Comput. Math.
, vol.56
, Issue.1-2
, pp. 107-122
-
-
Doha, E.H.1
El-Soubhy, S.I.2
-
13
-
-
0007748219
-
The expansion of functions in ultraspherical polynomials
-
[13] D. Elliott, The expansion of functions in ultraspherical polynomials, J. Austral. Math. Soc. 1 (1960) 428-438.
-
(1960)
J. Austral. Math. Soc.
, vol.1
, pp. 428-438
-
-
Elliott, D.1
-
15
-
-
0002193620
-
Numerical analysis of spectral methods: Theory and applications
-
Society for Industrial and Applied Mathematics, Philadelphia, PA
-
[15] D. Gottlieb, S.A. Orszag, Numerical analysis of spectral methods: theory and applications, CBMS-NSF Regional Conf. Series in Applied Mathematics, 26, Society for Industrial and Applied Mathematics, Philadelphia, PA, 1977.
-
(1977)
CBMS-NSF Regional Conf. Series in Applied Mathematics
, vol.26
-
-
Gottlieb, D.1
Orszag, S.A.2
-
16
-
-
84966226105
-
Recurrence relations for the coefficients in Chebyshev series solutions of ordinary differential equations
-
[16] T.S. Horer, Recurrence relations for the coefficients in Chebyshev series solutions of ordinary differential equations. Math. Comput. 35 (151) (1980) 893-905.
-
(1980)
Math. Comput.
, vol.35
, Issue.151
, pp. 893-905
-
-
Horer, T.S.1
-
17
-
-
0024082397
-
Chebyshev spectral methods for solving two-point boundary value problems arising in heat transfer
-
[17] A. Karageorghis, Chebyshev spectral methods for solving two-point boundary value problems arising in heat transfer, J. Comput. Methods Appl. Mech. Eng. 70 (1988a) 103-121.
-
(1988)
J. Comput. Methods Appl. Mech. Eng.
, vol.70
, pp. 103-121
-
-
Karageorghis, A.1
-
18
-
-
0000036756
-
A note on the Chebyshev coefficients of the general-order derivative of an infinitely differentiable function
-
[18] A. Karageorghis, A note on the Chebyshev coefficients of the general-order derivative of an infinitely differentiable function, J. Comput. Appl. Math. 21 (1988b) 129-132.
-
(1988)
J. Comput. Appl. Math.
, vol.21
, pp. 129-132
-
-
Karageorghis, A.1
-
19
-
-
45549111744
-
A note on the Chebyshev coefficients of the moments of the general-order derivative of infinitely differentiable function
-
[19] A. Karageorghis, A note on the Chebyshev coefficients of the moments of the general-order derivative of infinitely differentiable function, J. Comput. Appl. Math. 21 (1988c) 383-386.
-
(1988)
J. Comput. Appl. Math.
, vol.21
, pp. 383-386
-
-
Karageorghis, A.1
-
20
-
-
0023978973
-
Spectral Galerkin methods for the primary two-point boundary value problems in modelling viscoelastic flows
-
[20] A. Karageorghis, T.N. Phillips, Spectral Galerkin methods for the primary two-point boundary value problems in modelling viscoelastic flows, Internat. J. Numer. Meth. Eng. 26 (1988) 647-662.
-
(1988)
Internat. J. Numer. Meth. Eng.
, vol.26
, pp. 647-662
-
-
Karageorghis, A.1
Phillips, T.N.2
-
21
-
-
38249025510
-
Chebyshev spectral collocation methods for laminar flow through a channel contraction
-
[21] A. Karageorghis, T.N. Phillips, Chebyshev spectral collocation methods for laminar flow through a channel contraction, J. Comput. Phys. 84 (1989) 114-133.
-
(1989)
J. Comput. Phys.
, vol.84
, pp. 114-133
-
-
Karageorghis, A.1
Phillips, T.N.2
-
22
-
-
0039998339
-
Construction of a recurrence relation of the lowest order for coefficients of the Gegenbauer series
-
[22] S. Lewanowicz, Construction of a recurrence relation of the lowest order for coefficients of the Gegenbauer series, Zastos. Math. (Applicationes Mathematicae) 15 (1976) 345-396.
-
(1976)
Zastos. Math. (Applicationes Mathematicae)
, vol.15
, pp. 345-396
-
-
Lewanowicz, S.1
-
23
-
-
0039406286
-
Construction of the lowest-order recurrence relation for the Jacobi coefficients
-
[23] S. Lewanowicz, Construction of the lowest-order recurrence relation for the Jacobi coefficients, Zastos. Math. (Applications Mathematicae) 17 (1983) 655-675.
-
(1983)
Zastos. Math. (Applications Mathematicae)
, vol.17
, pp. 655-675
-
-
Lewanowicz, S.1
-
24
-
-
0039998340
-
Recurrence relations for the coefficients in Jacobi series solutions of linear differential equations
-
[24] S. Lewanowicz, Recurrence relations for the coefficients in Jacobi series solutions of linear differential equations, SIAM J. Math. Anal. 17 (5) (1986) 1037-1052.
-
(1986)
SIAM J. Math. Anal.
, vol.17
, Issue.5
, pp. 1037-1052
-
-
Lewanowicz, S.1
-
26
-
-
84966242770
-
Chebyshev polynomials in the numerical solution of differential equations
-
[26] A.G. Morris, T.S. Horner, Chebyshev polynomials in the numerical solution of differential equations, Math. Comput. 31 (140) (1977) 881-891.
-
(1977)
Math. Comput.
, vol.31
, Issue.140
, pp. 881-891
-
-
Morris, A.G.1
Horner, T.S.2
-
27
-
-
0040591543
-
The numerical solution of linear recurrence relations
-
[27] J. Oliver, The numerical solution of linear recurrence relations, Numer. Math. 11 (1969) 349-360.
-
(1969)
Numer. Math.
, vol.11
, pp. 349-360
-
-
Oliver, J.1
-
28
-
-
0001324079
-
On the Legendre coefficients of a general order derivative of an infinitely differentiable function
-
[28] T.N. Phillips, On the Legendre coefficients of a general order derivative of an infinitely differentiable function, IMA J. Numer. Anal. 8 (1988) 455-459.
-
(1988)
IMA J. Numer. Anal.
, vol.8
, pp. 455-459
-
-
Phillips, T.N.1
-
29
-
-
0039406287
-
A modification of Miller's recurrence algorithm
-
[29] R.E. Scraton, A modification of Miller's recurrence algorithm, BlT 12 (1972) 242-251.
-
(1972)
BlT
, vol.12
, pp. 242-251
-
-
Scraton, R.E.1
-
30
-
-
0005071395
-
Spectral multigrid methods with applications to transonic potential flow
-
[30] C.L. Streett et al., Spectral multigrid methods with applications to transonic potential flow, J. Comput. Phys. 57 (1985) 43-76.
-
(1985)
J. Comput. Phys.
, vol.57
, pp. 43-76
-
-
Streett, C.L.1
-
32
-
-
0041185608
-
A pseudospectral Legendre method for hyperbolic equations with an improved stability condition
-
[32] H. Tal-Ezer, A pseudospectral Legendre method for hyperbolic equations with an improved stability condition, J. Comput. Phys. 67 (1986) 145-172.
-
(1986)
J. Comput. Phys.
, vol.67
, pp. 145-172
-
-
Tal-Ezer, H.1
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