Some Properties of a Classic Numerical Intergration Formula

01 November 1967

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In this paper, we present some theorems concerning properties of the classic numerical integration formula 1 V V yn+1 = 2 akyn-k + h 2061 bky'n-k n ^ p (1) 2072 TIIE BELL SYSTEM T E C H N I C A L J O U R N A L , NOVEMBER 1907 a formula which can be used to obtain a numerical solution of the set of first-order nonlinear differential equations x + j(x, 0 = 0 , [a(0) = xob (2)