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\(A\)-stable methods of high order for Volterra integral equations. (English) Zbl 0336.45016


MSC:

45D05 Volterra integral equations
65R20 Numerical methods for integral equations
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References:

[1] Práger M., Taufer J., Vitásek E.: Overimplicit multistep methods. Aplikace matematiky 18 (1973), 399-421. · Zbl 0298.65052
[2] de Hoog F., Weiss R.: High order methods for Volterra integral equations of the first kind. SIAM J. Numer. Anal. 10 (1973), 647-664. · Zbl 0261.65086
[3] de Hoog F., Weiss R.: On the solution of Volterra integral equation of the first kind. Num. Math. 21 (1973) 22-32. · Zbl 0262.65078
[4] Noble B.: Instability when solving Volterra integral equation of the first kind by multistep methods. in Conference on the numerical solution of differential equations, Lecture notes in Mathematics 109, 23-39.
[5] Brunner H., Lambert J. D.: Stability of numerical methods for Volterra integro-differential equations. Computing 12 (1974), 75-89. · Zbl 0282.65088
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