-
1
-
-
4544328409
-
Asymptotic expansions of spheroidal wave functions
-
Abramowitz M. Asymptotic expansions of spheroidal wave functions J. Math. Phys. 28 1949 195-199
-
(1949)
J. Math. Phys.
, vol.28
, pp. 195-199
-
-
Abramowitz, M.1
-
3
-
-
0036374085
-
On a Fourier method of embedding domains using an optimal distributed control
-
Badea L. Daripa P. On a Fourier method of embedding domains using an optimal distributed control Numer. Algorithms 30 2002 199-239
-
(2002)
Numer. Algorithms
, vol.30
, pp. 199-239
-
-
Badea, L.1
Daripa, P.2
-
5
-
-
84953680699
-
On spheroidal wave functions of order zero
-
Bouwkamp C.J. On spheroidal wave functions of order zero J. Math. Phys. 26 1947 79-92
-
(1947)
J. Math. Phys.
, vol.26
, pp. 79-92
-
-
Bouwkamp, C.J.1
-
6
-
-
84966205602
-
The rate of convergence of Hermite function series
-
Boyd J.P. The rate of convergence of Hermite function series Math. Comput. 35 1980 1309-1316
-
(1980)
Math. Comput.
, vol.35
, pp. 1309-1316
-
-
Boyd, J.P.1
-
7
-
-
0002707624
-
The optimization of convergence for Chebyshev polynomial methods in an unbounded domain
-
Boyd J.P. The optimization of convergence for Chebyshev polynomial methods in an unbounded domain J. Comput. Phys. 45 1982 43-79
-
(1982)
J. Comput. Phys.
, vol.45
, pp. 43-79
-
-
Boyd, J.P.1
-
8
-
-
0001718791
-
Spectral methods using rational basis functions on an infinite interval
-
Boyd J.P. Spectral methods using rational basis functions on an infinite interval J. Comput. Phys. 69 1987 112-142
-
(1987)
J. Comput. Phys.
, vol.69
, pp. 112-142
-
-
Boyd, J.P.1
-
9
-
-
0002717130
-
Orthogonal rational functions on a semi-infinite interval
-
Boyd J.P. Orthogonal rational functions on a semi-infinite interval J. Comput. Phys. 70 1987 63-88
-
(1987)
J. Comput. Phys.
, vol.70
, pp. 63-88
-
-
Boyd, J.P.1
-
10
-
-
38249009654
-
Defeating the Runge phenomenon for equispaced polynomial interpolation via Tikhonov regularization
-
Boyd J.P. Defeating the Runge phenomenon for equispaced polynomial interpolation via Tikhonov regularization Appl. Math. Lett. 5 1992 57-59
-
(1992)
Appl. Math. Lett.
, vol.5
, pp. 57-59
-
-
Boyd, J.P.1
-
11
-
-
0030159962
-
Traps and snares in eigenvalue calculations with application to pseudospectral computations of ocean tides in a basin bounded by meridians
-
Corrigendum 136 1 1997 227-228
-
Boyd J.P. Traps and snares in eigenvalue calculations with application to pseudospectral computations of ocean tides in a basin bounded by meridians J. Comput. Phys. 126 1996 11-20 Corrigendum 136(1) (1997) 227-228
-
(1996)
J. Comput. Phys.
, vol.126
, pp. 11-20
-
-
Boyd, J.P.1
-
12
-
-
0033177503
-
A numerical comparison of seven grids for polynomial interpolation on the interval
-
Boyd J.P. A numerical comparison of seven grids for polynomial interpolation on the interval Comput. Math. Appl. 38 1999 35-50
-
(1999)
Comput. Math. Appl.
, vol.38
, pp. 35-50
-
-
Boyd, J.P.1
-
14
-
-
0036570566
-
A comparison of numerical algorithms for Fourier extension of the first, second and third kinds
-
Boyd J.P. A comparison of numerical algorithms for Fourier extension of the first, second and third kinds J. Comput. Phys. 178 2002 118-160
-
(2002)
J. Comput. Phys.
, vol.178
, pp. 118-160
-
-
Boyd, J.P.1
-
15
-
-
0347480334
-
Approximation of an analytic function on a finite real interval by a bandlimited function and conjectures on properties of prolate spheroidal functions
-
Boyd J.P. Approximation of an analytic function on a finite real interval by a bandlimited function and conjectures on properties of prolate spheroidal functions Appl. Comput. Harmonic Anal. 15 2003 168-176
-
(2003)
Appl. Comput. Harmonic Anal.
, vol.15
, pp. 168-176
-
-
Boyd, J.P.1
-
16
-
-
0041520606
-
Large modenumber eigenvalues of the prolate spheroidal differential equation
-
Boyd J.P. Large modenumber eigenvalues of the prolate spheroidal differential equation Appl. Math. Comput. 145 2003 881-886
-
(2003)
Appl. Math. Comput.
, vol.145
, pp. 881-886
-
-
Boyd, J.P.1
-
17
-
-
17644389543
-
Computation of grid points, quadrature weights and derivatives for spectral element methods using prolate spheroidal wave functions - Prolate elements
-
submitted
-
J.P. Boyd, Computation of grid points, quadrature weights and derivatives for spectral element methods using prolate spheroidal wave functions - prolate elements, ACM Trans. Math. Software (2004), submitted
-
(2004)
ACM Trans. Math. Software
-
-
Boyd, J.P.1
-
18
-
-
0038346445
-
Pseudospectral methods on a semi-infinite interval with application to the hydrogen atom: A comparison of the mapped Fourier-sine method with Laguerre series and rational Chebyshev expansion
-
Boyd J.P. Rangan C. Bucksbaum P.H. Pseudospectral methods on a semi-infinite interval with application to the hydrogen atom: A comparison of the mapped Fourier-sine method with Laguerre series and rational Chebyshev expansion J. Comput. Phys. 188 2003 56-74
-
(2003)
J. Comput. Phys.
, vol.188
, pp. 56-74
-
-
Boyd, J.P.1
Rangan, C.2
Bucksbaum, P.H.3
-
20
-
-
33745222937
-
Spectral methods based on prolate spheroidal wave functions for hyperbolic PDEs
-
submitted
-
Q.Y. Chen, D. Gottlieb, J.S. Hesthaven, Spectral methods based on prolate spheroidal wave functions for hyperbolic PDEs, SIAM J. Numer. Anal. (2004), submitted
-
(2004)
SIAM J. Numer. Anal.
-
-
Chen, Q.Y.1
Gottlieb, D.2
Hesthaven, J.S.3
-
21
-
-
0033410590
-
Non-linear optimization, quadrature and interpolation
-
Cheng H. Yarvin N. Rokhlin V. Non-linear optimization, quadrature and interpolation SIAM J. Optim. 9 1999 901-923
-
(1999)
SIAM J. Optim.
, vol.9
, pp. 901-923
-
-
Cheng, H.1
Yarvin, N.2
Rokhlin, V.3
-
22
-
-
0025446885
-
Spectral methods and mappings for evolution equations on the infinite line
-
Cloot A. Weideman J.A.C. Spectral methods and mappings for evolution equations on the infinite line Comput. Meth. Appl. Mech. Eng. 80 1990 467-481
-
(1990)
Comput. Meth. Appl. Mech. Eng.
, vol.80
, pp. 467-481
-
-
Cloot, A.1
Weideman, J.A.C.2
-
23
-
-
0038705389
-
An adaptive algorithm for spectral computations on unbounded domains
-
Cloot A. Weideman J.A.C. An adaptive algorithm for spectral computations on unbounded domains J. Comput. Phys. 102 1992 398-406
-
(1992)
J. Comput. Phys.
, vol.102
, pp. 398-406
-
-
Cloot, A.1
Weideman, J.A.C.2
-
25
-
-
4544235599
-
On asymptotic behavior of the solutions of the Laplace tidal equation
-
Dikii L.A. On asymptotic behavior of the solutions of the Laplace tidal equation Sov. Phys. Dokl. 11 1967 772-775
-
(1967)
Sov. Phys. Dokl.
, vol.11
, pp. 772-775
-
-
Dikii, L.A.1
-
26
-
-
0007900725
-
Uniform asymptotic expansions for prolate spheroidal functions with large parameters
-
Dunster T.M. Uniform asymptotic expansions for prolate spheroidal functions with large parameters SIAM J. Math. Anal. 17 1986 1495-1524
-
(1986)
SIAM J. Math. Anal.
, vol.17
, pp. 1495-1524
-
-
Dunster, T.M.1
-
27
-
-
0002294888
-
Mixed spectral-boundary element embedding algorithms for the Navier - Stokes equations in the vorticity-stream function formulation
-
Elghaoui M. Pasquetti R. Mixed spectral-boundary element embedding algorithms for the Navier - Stokes equations in the vorticity-stream function formulation J. Comput. Phys. 153 1996 82-100
-
(1996)
J. Comput. Phys.
, vol.153
, pp. 82-100
-
-
Elghaoui, M.1
Pasquetti, R.2
-
30
-
-
0035506140
-
Parallel algorithms with local Fourier basis
-
Garbey M. Tromeur-Dervout D. Parallel algorithms with local Fourier basis J. Comput. Phys. 173 2001 575-599
-
(2001)
J. Comput. Phys.
, vol.173
, pp. 575-599
-
-
Garbey, M.1
Tromeur-Dervout, D.2
-
31
-
-
0037144878
-
Nodal high-order discontinuous Galerkin methods for the spherical shallow water equations
-
Giraldo F.X. Hesthaven J. Warburton T. Nodal high-order discontinuous Galerkin methods for the spherical shallow water equations J. Comput. Phys. 181 2002 499-525
-
(2002)
J. Comput. Phys.
, vol.181
, pp. 499-525
-
-
Giraldo, F.X.1
Hesthaven, J.2
Warburton, T.3
-
34
-
-
0026298561
-
Use of reduced Gaussian grids in spectral models
-
Hortal M. Simmons A.J. Use of reduced Gaussian grids in spectral models Mon. Weather Rev. 119 1991 1057-1074
-
(1991)
Mon. Weather Rev.
, vol.119
, pp. 1057-1074
-
-
Hortal, M.1
Simmons, A.J.2
-
37
-
-
0037249882
-
Accuracy resolution and stability properties of a modified Chebyshev method
-
Mead J.L. Renaut R.A. Accuracy resolution and stability properties of a modified Chebyshev method SIAM J. Sci. Comput. 24 2002 143-160
-
(2002)
SIAM J. Sci. Comput.
, vol.24
, pp. 143-160
-
-
Mead, J.L.1
Renaut, R.A.2
-
38
-
-
0016624218
-
Asymptotic approximations for prolate spheroidal wave functions
-
Miles J.W. Asymptotic approximations for prolate spheroidal wave functions Stud. Appl. Math. 54 1975 315-349
-
(1975)
Stud. Appl. Math.
, vol.54
, pp. 315-349
-
-
Miles, J.W.1
-
41
-
-
85171835557
-
Some asymptotic expansions for prolate spheroidal wave functions
-
Slepian D. Some asymptotic expansions for prolate spheroidal wave functions J. Math. Phys. 44 1965 99
-
(1965)
J. Math. Phys.
, vol.44
, pp. 99
-
-
Slepian, D.1
-
42
-
-
0020786063
-
Some comments on Fourier analysis, uncertainty and modeling
-
Slepian D. Some comments on Fourier analysis, uncertainty and modeling SIAM Rev. 1983 379-393
-
(1983)
SIAM Rev.
, pp. 379-393
-
-
Slepian, D.1
-
43
-
-
1842822222
-
Semi-implicit spectral element atmospheric model
-
Thomas S.J. Loft R.D. Semi-implicit spectral element atmospheric model J. Sci. Comput. 17 2002 339-350
-
(2002)
J. Sci. Comput.
, vol.17
, pp. 339-350
-
-
Thomas, S.J.1
Loft, R.D.2
-
44
-
-
0036714541
-
Parallel implementation issues: Global versus local methods
-
Thomas S.J. Loft R.D. Dennis J.M. Parallel implementation issues: Global versus local methods Comput. Sci. Eng. 4 2002 26-31
-
(2002)
Comput. Sci. Eng.
, vol.4
, pp. 26-31
-
-
Thomas, S.J.1
Loft, R.D.2
Dennis, J.M.3
-
45
-
-
0004136180
-
-
Philadelphia: Society for Industrial and Applied Mathematics
-
Trefethen L.N. Spectral Methods in Matlab 2000 Society for Industrial and Applied Mathematics Philadelphia
-
(2000)
Spectral Methods in Matlab
-
-
Trefethen, L.N.1
-
46
-
-
0025446885
-
Spectral methods and mappings for evolution equations on the infinite line
-
Weideman J.A.C. Cloot A. Spectral methods and mappings for evolution equations on the infinite line Comput. Meths. Appl. Mech. Eng. 80 1990 467-481
-
(1990)
Comput. Meths. Appl. Mech. Eng.
, vol.80
, pp. 467-481
-
-
Weideman, J.A.C.1
Cloot, A.2
-
48
-
-
0035420586
-
Prolate spheroidal wavefunctions, quadrature and interpolation
-
Xiao H. Rokhlin V. Yarvin N. Prolate spheroidal wavefunctions, quadrature and interpolation Inverse Problems 17 2001 805-838
-
(2001)
Inverse Problems
, vol.17
, pp. 805-838
-
-
Xiao, H.1
Rokhlin, V.2
Yarvin, N.3
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