-
1
-
-
77952792692
-
-
Computation of Gauss-Jacobi quadrature rule nodes and weights
-
S. Bochkanov and V. Bystritsky, Computation of Gauss-Jacobi quadrature rule nodes and weights, http://www.alglib.net/integral/gq/gjacobi.php
-
-
-
Bochkanov, S.1
Bystritsky, V.2
-
2
-
-
0020998704
-
Nonpolynomial spline collocation for Volterra equations with weakly singular kernels
-
MR723827 (85d:65069)
-
H. Brunner, Nonpolynomial spline collocation for Volterra equations with weakly singular kernels, SIAM J. Numer. Anal., 20 (1983), pp. 1106-1119. MR723827 (85d:65069)
-
(1983)
SIAM J. Numer. Anal.
, vol.20
, pp. 1106-1119
-
-
Brunner, H.1
-
3
-
-
84966204227
-
The numerical solutions of weakly singular Volterra integral equations by collocation on graded meshes
-
MR804933 (87b:65223)
-
H. Brunner, The numerical solutions of weakly singular Volterra integral equations by collocation on graded meshes, Math. Comp., 45 (1985), pp. 417-437. MR804933 (87b:65223)
-
(1985)
Math. Comp.
, vol.45
, pp. 417-437
-
-
Brunner, H.1
-
4
-
-
0008523485
-
Polynomial spline collocation methods for Volterra integro-differential equations with weakly singular kernels
-
MR967664 (89h:65217)
-
H. Brunner, Polynomial spline collocation methods for Volterra integro-differential equations with weakly singular kernels, IMA J. Numer. Anal., 6 (1986), pp. 221-239. MR967664 (89h:65217)
-
(1986)
IMA J. Numer. Anal.
, vol.6
, pp. 221-239
-
-
Brunner, H.1
-
6
-
-
33747875704
-
-
Springer-Verlag, Berlin MR2223552 (2007c:65001)
-
C. Canuto, M. Y. Hussaini, A. Quarteroni and T. A. Zang, Spectral Methods. Fundamentals in Single Domains, Springer-Verlag, Berlin, 2006. MR2223552 (2007c:65001)
-
(2006)
Spectral Methods. Fundamentals in Single Domains
-
-
Canuto, C.1
Hussaini, M.Y.2
Quarteroni, A.3
Zang, T.A.4
-
7
-
-
77952874091
-
Convergence analysis for the Chebyshev collocation methods to Volterra integral equations with a weakly singular kernel
-
submitted to
-
Y. Chen and T. Tang, Convergence analysis for the Chebyshev collocation methods to Volterra integral equations with a weakly singular kernel, submitted to SIAM J. Numer. Anal.
-
SIAM J. Numer. Anal
-
-
Chen, Y.1
Tang, T.2
-
8
-
-
0003584504
-
-
Springer-Verlag, Heidelberg, 2nd Edition MR1635980 (99c:35181)
-
D. Colton and R. Kress, Inverse Acoustic and Electromagnetic Scattering Theory, Applied Mathematical Sciences 93, Springer-Verlag, Heidelberg, 2nd Edition (1998). MR1635980 (99c:35181)
-
(1998)
Inverse Acoustic and Electromagnetic Scattering Theory, Applied Mathematical Sciences 93
-
-
Colton, D.1
Kress, R.2
-
9
-
-
84973960394
-
Collocation methods for second-kind Volterra integral equations with weakly singular kernels
-
MR1273745 (95c:45011)
-
T. Diogo, S. McKee, and T. Tang, Collocation methods for second-kind Volterra integral equations with weakly singular kernels, Proceedings of The Royal Society of Edinburgh, 124A, 1994, pp. 199-210. MR1273745 (95c:45011)
-
(1994)
Proceedings of The Royal Society of Edinburgh
, vol.124 A
, pp. 199-210
-
-
Diogo, T.1
McKee, S.2
Tang, T.3
-
10
-
-
0003258602
-
The generalized Hardy operator with kernel and variable integral limits in Banach function spaces
-
MR1733113 (2001f:47085)
-
A. Gogatishvili and J. Lang, The generalized Hardy operator with kernel and variable integral limits in Banach function spaces, Journal of Inequalities and Applications, 4 (1999), Issue 1, pp. 1-16. MR1733113 (2001f:47085)
-
(1999)
Journal of Inequalities and Applications
, vol.4
, Issue.1
, pp. 1-16
-
-
Gogatishvili, A.1
Lang, J.2
-
12
-
-
33745038998
-
Optimal spectral-Galerkin methods using generalized Jacobi polynomials
-
MR2285783 (2008f:65233)
-
B. Guo, J. Shen and L. Wang, Optimal spectral-Galerkin methods using generalized Jacobi polynomials, J. Sci. Comput. 27 (2006), 305-322. MR2285783 (2008f:65233)
-
(2006)
J. Sci. Comput.
, vol.27
, pp. 305-322
-
-
Guo, B.1
Shen, J.2
Wang, L.3
-
13
-
-
0042830865
-
Jacobi interpolation approximations and their applications to singular differential equations
-
MR1845244 (2002f:41003)
-
B. Guo and L. Wang, Jacobi interpolation approximations and their applications to singular differential equations, Adv. Comput.Math. 14 (2001), pp. 227-276. MR1845244 (2002f:41003)
-
(2001)
Adv. Comput. Math.
, vol.14
, pp. 227-276
-
-
Guo, B.1
Wang, L.2
-
14
-
-
3543090402
-
Jacobi approximations in non-uniformly Jacobi-weighted Sobolev spaces
-
MR2063010 (2005h:41010)
-
B. Guo and L. Wang, Jacobi approximations in non-uniformly Jacobi-weighted Sobolev spaces, J. Approx. Theory, 128 (2004), pp. 1-41. MR2063010 (2005h:41010)
-
(2004)
J. Approx. Theory
, vol.128
, pp. 1-41
-
-
Guo, B.1
Wang, L.2
-
15
-
-
0001194754
-
Stieltjes derivatives and polynomial spline collocation for Volterra integro-differential equations with singularities
-
MR1377251 (97A:65112)
-
Q. Hu, Stieltjes derivatives and polynomial spline collocation for Volterra integro-differential equations with singularities. SIAM J. Numer. Anal., 33 (1996), 208-220. MR1377251 (97a:65112)
-
(1996)
SIAM J. Numer. Anal.
, vol.33
, pp. 208-220
-
-
Hu, Q.1
-
16
-
-
0346122675
-
-
World Scientific, River Edge, NJ, MR1982932 (2004c:42034)
-
A. Kufner and L.E. Persson, Weighted Inequalities of Hardy Type, World Scientific, River Edge, NJ, 2003. MR1982932 (2004c:42034)
-
(2003)
Weighted Inequalities of Hardy Type
-
-
Kufner, A.1
Persson, L.E.2
-
17
-
-
84966227123
-
Fractional linear multi-step methods for Abel-Volterra integral equations of the second kind
-
MR804935 (86j:65181)
-
Ch. Lubich, Fractional linear multi-step methods for Abel-Volterra integral equations of the second kind, Math. Comp., 45 (1985), pp. 463-469. MR804935 (86j:65181)
-
(1985)
Math. Comp.
, vol.45
, pp. 463-469
-
-
Lubich, Ch.1
-
18
-
-
0035449760
-
Optimal systems of nodes for Lagrange interpolation on bounded intervals
-
MR1852573 (2002e:65020)
-
G. Mastroianni and D. Occorsio, Optimal systems of nodes for Lagrange interpolation on bounded intervals. A survey, Journal of Computational and Applied Mathematics, 134 (2001), pp. 325-341. MR1852573 (2002e:65020)
-
(2001)
A survey, Journal of Computational and Applied Mathematics
, vol.134
, pp. 325-341
-
-
Mastroianni, G.1
Occorsio, D.2
-
19
-
-
0000762664
-
Mean convergence of Lagrange interpolation
-
MR85c:41009
-
P. Nevai, Mean convergence of Lagrange interpolation. III, Trans. Amer. Math. Soc., 282 (1984), 669-698. MR85c:41009
-
(1984)
III, Trans. Amer. Math. Soc.
, vol.282
, pp. 669-698
-
-
Nevai, P.1
-
20
-
-
84972568056
-
Szegö's Conjecture on Lebesgue Constants for Legendre Series
-
MR965689 (89m:42025)
-
C. K. Qu and R. Wong, Szegö's Conjecture on Lebesgue Constants for Legendre Series, Pacific J. Math., 135 (1988), pp. 157-188. MR965689 (89m:42025)
-
(1988)
Pacific J. Math.
, vol.135
, pp. 157-188
-
-
Qu, C.K.1
Wong, R.2
-
21
-
-
84966237716
-
Polynomial approximation on compact manifolds and homogeneous spaces
-
MR0410210 (53:13960)
-
D. L. Ragozin, Polynomial approximation on compact manifolds and homogeneous spaces, Trans. Amer. Math. Soc., 150 (1970), pp. 41-53. MR0410210 (53:13960)
-
(1970)
Trans. Amer. Math. Soc.
, vol.150
, pp. 41-53
-
-
Ragozin, D.L.1
-
22
-
-
0000071649
-
Constructive polynomial approximation on spheres and projective spaces
-
MR0288468 (44:5666)
-
D. L. Ragozin, Constructive polynomial approximation on spheres and projective spaces, Trans. Amer. Math. Soc., 162 (1971), pp. 157-170. MR0288468 (44:5666)
-
(1971)
Trans. Amer. Math. Soc.
, vol.162
, pp. 157-170
-
-
Ragozin, D.L.1
-
23
-
-
0013586003
-
Collocation methods for weakly singular second-kind Volterra integral equations with nonsmooth solution
-
MR692290 (84g:65167)
-
H. J.J. te Riele, Collocation methods for weakly singular second-kind Volterra integral equations with nonsmooth solution, IMA J. Numer. Anal., 2 (1982), pp. 437-449. MR692290 (84g:65167)
-
(1982)
IMA J. Numer. Anal.
, vol.2
, pp. 437-449
-
-
Te Riele, H.J.J.1
-
24
-
-
37449012387
-
Sonine integral equations of the first kind in Lp(0, b)
-
MR2035650 (2005a:45003)
-
S. G. Samko and R. P. Cardoso, Sonine integral equations of the first kind in Lp(0, b), Fract. Calc. & Appl. Anal. 2003, vol. 6, No 3, 235-258. MR2035650 (2005a:45003)
-
(2003)
Fract. Calc. & Appl. Anal.
, vol.6
, Issue.3
, pp. 235-258
-
-
Samko, S.G.1
Cardoso, R.P.2
-
26
-
-
0004408713
-
Superconvergence of numerical solutions to weakly singular Volterra integrodifferential equations
-
MR1151776 (92k:65198)
-
T. Tang, Superconvergence of numerical solutions to weakly singular Volterra integrodifferential equations, Numer. Math., 61 (1992), pp. 373-382. MR1151776 (92k:65198)
-
(1992)
Numer. Math.
, vol.61
, pp. 373-382
-
-
Tang, T.1
-
27
-
-
1542766225
-
A note on collocation methods for Volterra integro-differential equations with weakly singular kernels
-
MR1199031 (93k:65111)
-
T. Tang, A note on collocation methods for Volterra integro-differential equations with weakly singular kernels, IMA J. Numer. Anal., 13 (1993), pp. 93-99. MR1199031 (93k:65111)
-
(1993)
IMA J. Numer. Anal.
, vol.13
, pp. 93-99
-
-
Tang, T.1
-
28
-
-
57149087968
-
On spectral methods for Volterra integral equations and the convergence analysis
-
MR2464738
-
T. Tang, X. Xu, and J. Cheng, On spectral methods for Volterra integral equations and the convergence analysis, J. Comput. Math., 26 (2008), pp. 825-837. MR2464738
-
(2008)
J. Comput. Math.
, vol.26
, pp. 825-837
-
-
Tang, T.1
Xu, X.2
Cheng, J.3
-
29
-
-
61349147774
-
Accuracy enhancement using spectral postprocessing for differential equations and integral equations
-
T. Tang and X. Xu, Accuracy enhancement using spectral postprocessing for differential equations and integral equations, Commun. Comput. Phys., 5 (2009), pp. 779-792.
-
(2009)
Commun. Comput. Phys.
, vol.5
, pp. 779-792
-
-
Tang, T.1
Xu, X.2
-
30
-
-
33747463578
-
Jacobi pseudospectral method for fourth order problems
-
MR2243117 (2007c:65063)
-
Z.-S. Wan, B.-Y. Guo and Z.-Q. Wang, Jacobi pseudospectral method for fourth order problems, J. Comp. Math., 24 (2006), pp. 481-500. MR2243117 (2007c:65063)
-
(2006)
J. Comp. Math.
, vol.24
, pp. 481-500
-
-
Wan, Z.-S.1
Guo, B.-Y.2
Wang, Z.-Q.3
-
31
-
-
84968469610
-
A linear generalization of Gronwall's inequality
-
(Aug), MR0181726 (31:5953)
-
D. Willett, A linear generalization of Gronwall's inequality, Proceedings of the American Mathematical Society, Vol. 16, No. 4. (Aug., 1965), pp. 774-778. MR0181726 (31:5953)
-
(1965)
Proceedings of the American Mathematical Society
, vol.16
, Issue.4
, pp. 774-778
-
-
Willett, D.1
|