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Stability of numerical methods for Volterra integro-differential equations. (English) Zbl 0282.65088


MSC:

65R20 Numerical methods for integral equations
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References:

[1] Isaacson, E., and H. B. Keller: Analysis of Numerical Methods. New York: Wiley. 1966. · Zbl 0168.13101
[2] Krogh, F. T.: Predictor-corrector methods of high order with improved stability characteristics. J. Assoc. Comput. Mach.13, 374 (1966). · Zbl 0143.37804
[3] Lambert, J. D.: Computational Methods in Ordinary Differential Equations. London: Wiley. 1973. · Zbl 0258.65069
[4] Linz, P.: Linear multistep methods for Volterra integro-differential equations. J. Assoc. Comput. Mach.16, 295 (1969). · Zbl 0183.45002
[5] Mocarsky, W. L.: Convergence of step-by-step methods for nonlinear integro-differential equations. J. Inst. Math. Appl.8, 235 (1971). · Zbl 0245.65064
[6] Steinberg, J.: Numerical solution of Volterra integral equations. Numer. Math.19, 213 (1972). · Zbl 0226.65083
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