-
1
-
-
0018927101
-
Fourier expansion solution of the KdV equation
-
K. ABE AND O. INOUE, Fourier expansion solution of the KdV equation, J. Comput. Phys., 34 (1980), pp. 202-210.
-
(1980)
J. Comput. Phys.
, vol.34
, pp. 202-210
-
-
Abe, K.1
Inoue, O.2
-
2
-
-
38249007906
-
Polynomial interpolation results in Sobolev space
-
C. BERNARDI AND Y. MADAY, Polynomial interpolation results in Sobolev space, J. Comput. Appl. Math., 43 (1992), pp. 53-82.
-
(1992)
J. Comput. Appl. Math.
, vol.43
, pp. 53-82
-
-
Bernardi, C.1
Maday, Y.2
-
3
-
-
67349095304
-
Spectral methods
-
Techniques of Scientific Computing (Part 2), P. G. Ciarlet and J. L. Lions, eds., North-Holland, Amsterdam
-
C. BERNARDI AND Y. MADAY, Spectral methods, in Handbook of Numerical Analysis, Vol. V, Techniques of Scientific Computing (Part 2), P. G. Ciarlet and J. L. Lions, eds., North-Holland, Amsterdam, 1997, pp. 209-486.
-
(1997)
Handbook of Numerical Analysis
, vol.5
, pp. 209-486
-
-
Bernardi, C.1
Maday, Y.2
-
4
-
-
0025445367
-
Truncation versus mapping in the spectral approximation to the Korteweg-de Vries equation
-
N. BRESSAN AND D. PAVONI, Truncation versus mapping in the spectral approximation to the Korteweg-de Vries equation, Comput. Methods. Appl. Mech. Engrg., 80 (1990), pp. 443-450.
-
(1990)
Comput. Methods. Appl. Mech. Engrg.
, vol.80
, pp. 443-450
-
-
Bressan, N.1
Pavoni, D.2
-
5
-
-
0003766476
-
-
Springer-Verlag, Berlin
-
C. CANUTO, M. Y. HUSSAINI, A. QUARTERONI, AND T. A. ZANG, Spectral Methods in Fluid Dynamics, Springer-Verlag, Berlin, 1988.
-
(1988)
Spectral Methods in Fluid Dynamics
-
-
Canuto, C.1
Hussaini, M.Y.2
Quarteroni, A.3
Zang, T.A.4
-
6
-
-
0042467377
-
Approximations of the KdV equation by least squares finite elements
-
G. F. CAREY AND Y. SHEN, Approximations of the KdV equation by least squares finite elements, Comput. Methods Appl. Mech. Engrg., 93 (1991), pp. 1-11.
-
(1991)
Comput. Methods Appl. Mech. Engrg.
, vol.93
, pp. 1-11
-
-
Carey, G.F.1
Shen, Y.2
-
7
-
-
0022075599
-
Fourier methods with extended stability intervals for the Korteweg-de Vries equation
-
T. F. CHAN AND T. KERKHOVEN, Fourier methods with extended stability intervals for the Korteweg-de Vries equation, SIAM J. Numer. Anal., 22 (1985), pp. 441-454.
-
(1985)
SIAM J. Numer. Anal.
, vol.22
, pp. 441-454
-
-
Chan, T.F.1
Kerkhoven, T.2
-
8
-
-
0042968612
-
Integration preconditioners for differential operators in spectral tau-methods
-
A. V. Ilin and L. R. Scott, eds., Department of Mathematics, University of Houston, Houston, TX
-
E. COUTSIAS, T. HAGSTROM, J. HESTHAVEN, AND D. TORRES, Integration preconditioners for differential operators in spectral tau-methods, in Proceedings of the Third International Conference on Spectral and High Order Methods, A. V. Ilin and L. R. Scott, eds., Department of Mathematics, University of Houston, Houston, TX, 1996, pp. 21-38.
-
(1996)
Proceedings of the Third International Conference on Spectral and High Order Methods
, pp. 21-38
-
-
Coutsias, E.1
Hagstrom, T.2
Hesthaven, J.3
Torres, D.4
-
9
-
-
0029412261
-
Numerical methods for the solution of the third-and fifth-order dispersive Korteweg-de Vries equations
-
K. DJIDJELI, W. G. PRICE, E. H. TWIZELL, AND Y. WANG, Numerical methods for the solution of the third-and fifth-order dispersive Korteweg-de Vries equations, J. Comput. Appl. Math., 58 (1995), pp. 307-336.
-
(1995)
J. Comput. Appl. Math.
, vol.58
, pp. 307-336
-
-
Djidjeli, K.1
Price, W.G.2
Twizell, E.H.3
Wang, Y.4
-
10
-
-
0001444952
-
A fast spectral algorithm for nonlinear wave equations with linear dispersion
-
B. FORNBERG AND T. DRISCOLL, A fast spectral algorithm for nonlinear wave equations with linear dispersion, J. Comput. Phys., 155 (1999), pp. 456-467.
-
(1999)
J. Comput. Phys.
, vol.155
, pp. 456-467
-
-
Fornberg, B.1
Driscoll, T.2
-
11
-
-
0017901962
-
A numerical and theoretical study of certain nonlinear phenomena
-
B. FORNBERG AND G. B. WHITHAM, A numerical and theoretical study of certain nonlinear phenomena, Phil. Trans. Roy. Soc. London Ser. A, 289 (1978), pp. 373-404.
-
(1978)
Phil. Trans. Roy. Soc. London Ser. A
, vol.289
, pp. 373-404
-
-
Fornberg, B.1
Whitham, G.B.2
-
12
-
-
0026972778
-
The pseudospectral method for third-order differential equations
-
W. HUANG AND D. M. SLOAN, The pseudospectral method for third-order differential equations, SIAM J. Numer. Anal., 29 (1992), pp. 1626-1647.
-
(1992)
SIAM J. Numer. Anal.
, vol.29
, pp. 1626-1647
-
-
Huang, W.1
Sloan, D.M.2
-
13
-
-
0042541081
-
Error estimations of the spectral method for solving K.D.V.-Burgers equation
-
P.-Y. KUO, Error estimations of the spectral method for solving K.D.V.-Burgers equation, Acta Math. Sinica, 28 (1985), pp. 1-15.
-
(1985)
Acta Math. Sinica
, vol.28
, pp. 1-15
-
-
Kuo, P.-Y.1
-
14
-
-
0032014411
-
From semidiscrete to fully discrete: Stability of Runge-Kutta schemes by the energy method
-
D. LEVY AND E. TADMOR, From semidiscrete to fully discrete: Stability of Runge-Kutta schemes by the energy method, SIAM Rev., 40 (1998), pp. 40-73.
-
(1998)
SIAM Rev.
, vol.40
, pp. 40-73
-
-
Levy, D.1
Tadmor, E.2
-
15
-
-
0043028813
-
Error analysis for solving the Korteweg-de Vnes equation by a Legendre pseudo-spectral method
-
J. LI, H. MA, AND W. SUN, Error analysis for solving the Korteweg-de Vnes equation by a Legendre pseudo-spectral method, Numer. Methods Partial Differential Equations, 16 (2000), pp. 513-534.
-
(2000)
Numer. Methods Partial Differential Equations
, vol.16
, pp. 513-534
-
-
Li, J.1
Ma, H.2
Sun, W.3
-
16
-
-
0039048840
-
The fourier pseudospectral method with a restrain operator for the Korteweg-de Vries equation
-
H.-P. MA AND B.-Y. GUO, The Fourier pseudospectral method with a restrain operator for the Korteweg-de Vries equation, J. Comput. Phys., 65 (1986), pp. 120-137.
-
(1986)
J. Comput. Phys.
, vol.65
, pp. 120-137
-
-
Ma, H.-P.1
Guo, B.-Y.2
-
17
-
-
0042541082
-
Spectral and collocation methods for third-order differential equations
-
Z.-C. Shi, M. Mu, W.-M. Xue, and J. Zou, eds., Science Press, Beijing
-
H.-P. MA AND W.-W. SUN, Spectral and collocation methods for third-order differential equations, in Advances in Scientific Computing, Z.-C. Shi, M. Mu, W.-M. Xue, and J. Zou, eds., Science Press, Beijing, 2001, pp. 116-124.
-
(2001)
Advances in Scientific Computing
, pp. 116-124
-
-
Ma, H.-P.1
Sun, W.-W.2
-
18
-
-
0034543430
-
A Legendre-Petrov-Galerkin and Chebyshev collocation method for third-order differential equations
-
H. MA AND W. SUN, A Legendre-Petrov-Galerkin and Chebyshev collocation method for third-order differential equations, SIAM J. Numer. Anal., 38 (2000), pp. 1425-1438.
-
(2000)
SIAM J. Numer. Anal.
, vol.38
, pp. 1425-1438
-
-
Ma, H.1
Sun, W.2
-
19
-
-
0039004073
-
Error analysis for spectral approximation of the Korteweg-de Vries equation
-
Y. MADAY AND A. QUARTERONI, Error analysis for spectral approximation of the Korteweg-de Vries equation, RAIRO Modél. Math. Anal. Numér., 22 (1988), pp. 499-529.
-
(1988)
RAIRO Modél. Math. Anal. Numér.
, vol.22
, pp. 499-529
-
-
Maday, Y.1
Quarteroni, A.2
-
20
-
-
38249003800
-
Properties of collocation third-derivative operators
-
W. J. MERRYFIELD AND B. SHIZGAL, Properties of collocation third-derivative operators, J. Comput. Phys., 105 (1993), pp. 182-185.
-
(1993)
J. Comput. Phys.
, vol.105
, pp. 182-185
-
-
Merryfield, W.J.1
Shizgal, B.2
-
21
-
-
51249175469
-
Single and multidomain Chebyshev collocation methods for the Korteweg-de Vries equation
-
D. PAVONI, Single and multidomain Chebyshev collocation methods for the Korteweg-de Vries equation, Calcolo, 25 (1988), pp. 311-346.
-
(1988)
Calcolo
, vol.25
, pp. 311-346
-
-
Pavoni, D.1
-
22
-
-
0000567049
-
Efficient spectral-Galerkin method I. Direct solvers for second-and fourth-order equations using Legendre polynomials
-
J. SHEN, Efficient spectral-Galerkin method I. Direct solvers for 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
-
23
-
-
0002543392
-
Efficient spectral-Galerkin method II. Direct solvers for second-and fourth-order equations using Chebyshev polynomials
-
J. SHEN, Efficient spectral-Galerkin method II. Direct solvers for second-and fourth-order equations using Chebyshev polynomials, SIAM J. Sci. Comput., 16 (1995), pp. 74-87.
-
(1995)
SIAM J. Sci. Comput.
, vol.16
, pp. 74-87
-
-
Shen, J.1
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