[1] H. Brunner:
A survey of recent advances in the numerical treatment of Volterra integral and integro-differential equations. J. Comput. Appl. Math. 8 (1982), 213–229.
MR 0682889 |
Zbl 0485.65087
[2] H. Brunner:
Nonpolynomial spline collocation for Volterra equations with weakly singular kernels. SIAM J. Numer. Anal. 20 (1983), 1106–1119.
MR 0723827 |
Zbl 0533.65087
[3] H. Brunner:
Implicit Runge-Kutta methods of optimal order for Volterra integro-differential equations. Math. Comp. 42, 165 (1984), 95–109.
MR 0725986 |
Zbl 0543.65092
[4] H. Brunner:
Polynomial spline collocation methods for Volterra integrodifferential equations with weakly singular kernels. IMA J. Numer. Anal. 6 (1986), 221–239.
MR 0967664 |
Zbl 0634.65142
[5] H. Brunner:
The numerical treatment of Volterra integro-differential equations with unbounded delay. J. Comput. Appl. Math. 28 (1989), 5–23.
MR 1038829 |
Zbl 0687.65131
[6] H. Brunner, P. J. van der Houwen:
The Numerical Solution of Volterra Equations. CWI Monographs, Vol. 3, North-Holland, Amsterdam, 1986.
MR 0871871
[7] H. Brunner, J.-P. Kauthen and A. Ostermann:
Runge-Kutta time discretizations of parabolic Volterra integro-differential equations. J. Integral Equations Appl. 7 (1995), 1–16.
MR 1339686
[8] H. Brunner, Y. Lin and S. Zhang:
Higher accuracy methods for second-kind Volterra integral equations based on asymptotic expansions of iterated Galerkin methods. J. Integral Equations Appl. 10 (1998), 375–396.
MR 1669667
[9] H. Brunner, A. Makroglou and R. K. Miller:
Mixed interpolation collocation methods for first and second order Volterra integro-differential equations with periodic solution. Appl. Numer. Math. 23 (1997), 381–402.
MR 1453423
[10] J. Cannon, Y. Lin:
A priori $L^2$ error estimates for finite element methods for nonlinear diffusion equations with memory. SIAM J. Numer. Anal. 27 (1990), 595–607.
MR 1041253
[11] Q. Hu:
Stieltjes derivatives and $\beta $-polynomial spline collocation for Volterra integro-differential equations with singularities. SIAM J. Numer. Anal. 33 (1996), 208–220.
MR 1377251
[12] J. P. Kauthen:
The method of lines for parabolic partial integro-differential equations. J. Integral Equations Appl. 4 (1992), 69–81.
MR 1160088 |
Zbl 0763.65101
[13] M. Křížek, P. Neittaanmäki:
Finite Element Approximation of Variational Problems and Applications. Pitman Monographs and Surveys in Pure and Applied Mathematics, Longman Scientific & Technical, Essex, 1990.
MR 1066462
[14] M. Křížek, P. Neittaanmäki:
Bibliography on Superconvergence. In: Finite Element Methods: Superconvergence, Post-Processing, and A Posteriori Estimates (edited by M. Křížek, P. Neittaanmäki and R. Stenberg), Lecture Notes in Pure and Applied Mathematics, vol. 196. Marcel Dekker, New York, 1998, pp. 315–348.
MR 1602809
[15] Q. Lin, N. Yan: The Construction and Analysis of High Efficiency Finite Element Methods. Hebei University Publishers, 1996.
[16] Q. Lin, S. Zhang:
An immediate analysis for global superconvergence for integro-differential equations. Appl. Math. 42 (1997), 1–21.
MR 1426677
[17] Q. Lin, S. Zhang and N. Yan:
Methods for improving approximate accuracy for hyperbolic integro-differential equations. Systems Sci. Math. Sci. 10 (1997), 282–288.
MR 1469188
[18] Q. Lin, S. Zhang and N. Yan:
An acceleration method for integral equations by using interpolation post-processing. Adv. in Comput. Math. 9 (1998), 117–128.
MR 1662762
[19] T. Lin, Y. Lin, M. Rao and S. Zhang: Petrov-Galerkin methods for nonlinear Volterra integro-differential equations. Submitted to J. Math. Anal. Appl.
[20] R. K. Miller:
An integro-differential equation for rigid heat conductions with memory. J. Math. Anal. Appl. 66 (1978), 313–332.
MR 0515894
[21] J. Prüss:
Evolutionary Integral Equations and Applications. Birkhauser Verlag, Basel, 1993.
MR 1238939
[22] T. Tang:
Superconvergence of numerical solutions to weakly singular Volterra integro-differential equations. Numer. Math. 61 (1992), 373–382.
MR 1151776 |
Zbl 0741.65110
[23] T. Tang:
A note on collocation methods for Volterra integro-differential equations with weakly singular kernels. IMA J. Numer. Anal. 13 (1993), 93–99.
MR 1199031 |
Zbl 0765.65126