-
1
-
-
0012707577
-
The numerical solution of integral equations of the second kind
-
Cambridge University Press, Cambridge, UK
-
K. E. ATKINSON, The Numerical Solution of Integral Equations of the Second Kind, Cambridge Monogr. Appl. Comput. Math., 4, Cambridge University Press, Cambridge, UK, 1997.
-
(1997)
Cambridge Monogr. Appl. Comput. Math.
, vol.4
-
-
Atkinson, K.E.1
-
3
-
-
0042251646
-
On the numerical solution of nonlinear Volterra integrodifferential equations
-
H. BRUNNER, On the numerical solution of nonlinear Volterra integrodifferential equations, BIT, 13 (1973), pp. 381-390.
-
(1973)
BIT
, vol.13
, pp. 381-390
-
-
Brunner, H.1
-
4
-
-
0042752942
-
The application of the variation of constants formulas in the numerical analysis of integral and integro-differential equations
-
H. BRUNNER, The application of the variation of constants formulas in the numerical analysis of integral and integro-differential equations, Utilitas Math., 19 (1981), pp. 255-290.
-
(1981)
Utilitas Math.
, vol.19
, pp. 255-290
-
-
Brunner, H.1
-
5
-
-
0020998704
-
Nonpolynomial spline collocation for Volterra equations with weakly singular kernels
-
H. BRUNNER, Nonpolynomial spline collocation for Volterra equations with weakly singular kernels, SIAM J. Numer. Anal., 20 (1983), pp. 1106-1119.
-
(1983)
SIAM J. Numer. Anal.
, vol.20
, pp. 1106-1119
-
-
Brunner, H.1
-
6
-
-
84968521907
-
Implicit Runge-Kutta methods of optimal order for Volterra integro-differential equations
-
H. BRUNNER, Implicit Runge-Kutta methods of optimal order for Volterra integro-differential equations, Math. Comp., 42 (1984), pp. 95-109.
-
(1984)
Math. Comp.
, vol.42
, pp. 95-109
-
-
Brunner, H.1
-
7
-
-
0008523485
-
Polynomial spline collocation methods for Volterra integrodifferential equations with weakly singular kernels
-
H. BRUNNER, Polynomial spline collocation methods for Volterra integrodifferential equations with weakly singular kernels, IMA J. Numer. Anal., 6 (1986), pp. 221-239.
-
(1986)
IMA J. Numer. Anal.
, vol.6
, pp. 221-239
-
-
Brunner, H.1
-
8
-
-
0003213842
-
The numerical solution of Volterra equations
-
North-Holland, Amsterdam
-
H. BRUNNER AND P. J. VAN DER HOUWEN, The Numerical Solution of Volterra Equations, CWI Monogr., 3, North-Holland, Amsterdam, 1986.
-
(1986)
CWI Monogr.
, vol.3
-
-
Brunner, H.1
Van Der Houwen, P.J.2
-
9
-
-
0040575075
-
The piecewise polynomial collocation method for nonlinear weakly singular Volterra equations
-
H. BRUNNER, A. PEDAS, AND G. VAINIKKO, The piecewise polynomial collocation method for nonlinear weakly singular Volterra equations, Math. Comp., 68 (1999), pp. 1079-1095.
-
(1999)
Math. Comp.
, vol.68
, pp. 1079-1095
-
-
Brunner, H.1
Pedas, A.2
Vainikko, G.3
-
11
-
-
0020012414
-
Singularity expansions for the solutions of second kind Fredholm integral equations with weakly singular convolution kernels
-
I. G. GRAHAM, Singularity expansions for the solutions of second kind Fredholm integral equations with weakly singular convolution kernels, J. Integral Equations, 4 (1982), pp. 1-30.
-
(1982)
J. Integral Equations
, vol.4
, pp. 1-30
-
-
Graham, I.G.1
-
13
-
-
0040297607
-
Regularity of the solution of Hammerstein equations with weakly singular kernel
-
H. KANEKO, R. NOREN, AND Y. XU, Regularity of the solution of Hammerstein equations with weakly singular kernel, Integral Equations Operator Theory, 13 (1990), pp. 660-670.
-
(1990)
Integral Equations Operator Theory
, vol.13
, pp. 660-670
-
-
Kaneko, H.1
Noren, R.2
Xu, Y.3
-
15
-
-
84962571892
-
Runge Kutta theory for Volterra and Abel integral equations of the second kind
-
CH. LUBICH, Runge Kutta theory for Volterra and Abel integral equations of the second kind, Math. Comp., 41 (1983), pp. 87-102.
-
(1983)
Math. Comp.
, vol.41
, pp. 87-102
-
-
Lubich, Ch.1
-
16
-
-
0043254117
-
A block-by-block method for Volterra integro-differential equations with weakly-singular kernel
-
A. MAKROGLOU, A block-by-block method for Volterra integro-differential equations with weakly-singular kernel, Math. Comp., 37 (1981), pp. 95-99.
-
(1981)
Math. Comp.
, vol.37
, pp. 95-99
-
-
Makroglou, A.1
-
17
-
-
0040891781
-
Smoothness of solutions of Volterra integral equations with weakly singular kernels
-
R. K. MILLER AND A. FELDSTEIN, Smoothness of solutions of Volterra integral equations with weakly singular kernels, SIAM J. Math. Anal., 2 (1971), pp. 242-258.
-
(1971)
SIAM J. Math. Anal.
, vol.2
, pp. 242-258
-
-
Miller, R.K.1
Feldstein, A.2
-
19
-
-
0013546765
-
The smoothness of solutions to nonlinear weakly singular equations
-
A. PEDAS AND G. VAINIKKO, The smoothness of solutions to nonlinear weakly singular equations, Z. Anal. Anwendungen, 13 (1994), pp. 463-476.
-
(1994)
Z. Anal. Anwendungen
, vol.13
, pp. 463-476
-
-
Pedas, A.1
Vainikko, G.2
-
20
-
-
0039113634
-
Superconvergence of piecewise polynomial collocations for nonlinear weakly singular integral equations
-
A. PEDAS AND G. VAINIKKO, Superconvergence of piecewise polynomial collocations for nonlinear weakly singular integral equations, J. Integral Equations Appl., 9 (1997), pp. 379-406.
-
(1997)
J. Integral Equations Appl.
, vol.9
, pp. 379-406
-
-
Pedas, A.1
Vainikko, G.2
-
21
-
-
0009238412
-
Estimates for the derivatives of solutions to weakly singular Fredholm integral equations
-
J. PITKÄRANTA, Estimates for the derivatives of solutions to weakly singular Fredholm integral equations, SIAM J. Math. Anal., 11 (1980), pp. 952-968.
-
(1980)
SIAM J. Math. Anal.
, vol.11
, pp. 952-968
-
-
Pitkäranta, J.1
-
22
-
-
0016973736
-
On weakly singular integral equations with displacement kernels
-
G. R. RICHTER, On weakly singular integral equations with displacement kernels, J. Math. Anal. Appl., 55 (1976), pp. 32-42.
-
(1976)
J. Math. Anal. Appl.
, vol.55
, pp. 32-42
-
-
Richter, G.R.1
-
23
-
-
0040670110
-
Regularity of the solution to a class of weakly singular Fredholm integral equations of the second kind
-
C. SCHNEIDER, Regularity of the solution to a class of weakly singular Fredholm integral equations of the second kind, Integral Equations Operator Theory, 2 (1979), pp. 62-68.
-
(1979)
Integral Equations Operator Theory
, vol.2
, pp. 62-68
-
-
Schneider, C.1
-
24
-
-
0012574090
-
Superconvergence
-
M. Golberg, ed., Plenum Press, New York
-
I. SLOAN, Superconvergence, in Numerical Solution of Integral Equations, M. Golberg, ed., Plenum Press, New York, 1990, pp. 35-70.
-
(1990)
Numerical Solution of Integral Equations
, pp. 35-70
-
-
Sloan, I.1
-
25
-
-
0004408713
-
Superconvergence of numerical solutions to weakly singular Volterra integro-differential equations
-
T. TANG, Superconvergence of numerical solutions to weakly singular Volterra integro-differential equations, Numer. Math., 61 (1992), pp. 373-382.
-
(1992)
Numer. Math.
, vol.61
, pp. 373-382
-
-
Tang, T.1
-
26
-
-
1542766225
-
A note on collocation methods for Volterra integro-differential equations with weakly singular kernels
-
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.
-
(1993)
IMA J. Numer. Anal.
, vol.13
, pp. 93-99
-
-
Tang, T.1
-
27
-
-
84957169803
-
On the smoothness of the solution of multidimensional weakly singular integral equations
-
G. VAINIKKO, On the smoothness of the solution of multidimensional weakly singular integral equations, Math. USSR-Sb., 68 (1991), pp. 585-600.
-
(1991)
Math. USSR-Sb.
, vol.68
, pp. 585-600
-
-
Vainikko, G.1
-
28
-
-
0040861135
-
Multidimensional weakly singular integral equation
-
Springer-Verlag, Berlin, Heidelberg, New York
-
G. VAINIKKO, Multidimensional Weakly Singular Integral Equation, Lecture Notes in Math. 1549, Springer-Verlag, Berlin, Heidelberg, New York, 1993.
-
(1993)
Lecture Notes in Math.
, vol.1549
-
-
Vainikko, G.1
-
29
-
-
0040297593
-
The properties of solutions of weakly singular integral equations
-
G. VAINIKKO AND A. PEDAS, The properties of solutions of weakly singular integral equations, J. Austral. Math. Soc. Ser. B, 22 (1981), pp. 419-430.
-
(1981)
J. Austral. Math. Soc. Ser. B
, vol.22
, pp. 419-430
-
-
Vainikko, G.1
Pedas, A.2
-
30
-
-
0039674973
-
-
University of Tartu, Tartu, Estonia, (in Russian)
-
G. VAINIKKO, A. PEDAS, AND P. UBA, Methods for Solving Weakly Singular Integral Equations, University of Tartu, Tartu, Estonia, 1984 (in Russian).
-
(1984)
Methods for Solving Weakly Singular Integral Equations
-
-
Vainikko, G.1
Pedas, A.2
Uba, P.3
-
31
-
-
0022094042
-
The numerical solution of linear integrodifferential equations by projection methods
-
W. VOLK, The numerical solution of linear integrodifferential equations by projection methods, J. Integral Equations, 9 (1985), pp. 171-190.
-
(1985)
J. Integral Equations
, vol.9
, pp. 171-190
-
-
Volk, W.1
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