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- W1965853886 abstract "Abstract Our purpose in this paper is to display the stability analysis of Runge–Kutta methods applied to a Volterra integral equation of a simple form. As prerequisite we define, and then develop the structure of, the class of Runge–Kutta methods considered. The test equation is taken as the “;basic” equation ; the simple form of this equation permits ready insight into features which are more obscure when considering (as elsewhere [1], [2], [6]) equations of a more complicated form. Due to the structure of the methods and the nature of the test equation, the stability analysis reduces to the study of recurrence relations of the form Ф k + 1 = M Ф k + γ k ( k = 0, 1, 2, …) which are common in stability discussions in numerical analysis." @default.
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- W1965853886 date "1981-04-01" @default.
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- W1965853886 title "Stability analysis of Runge–Kutta methods applied to a basic Volterra integral equation" @default.
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- W1965853886 doi "https://doi.org/10.1017/s0334270000002848" @default.
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