Download E-books An extended doubly-adaptive quadrature method based on the combination of the Ninomiya and the FLR schemes PDF

By Hasegawa T., Hibino S., Hosoda Y.

Summary An development is made to an automated quadrature as a result of Ninomiya (J. Inf. strategy. 3:162–170, 1980) of adaptive kind in accordance with the Newton–Cotes rule through incorporating a doubly-adaptive set of rules as a result of Favati, Lotti and Romani (ACM Trans. Math. Softw. 17:207–217, 1991; ACM Trans. Math. Softw. 17:218–232, 1991). We examine the current procedure in functionality with a few others by utilizing a number of attempt difficulties together with Kahaner’s ones (Computation of numerical quadrature formulation. In: Rice, J.R. (ed.) Mathematical software program, 229–259. educational, Orlando, FL, 1971).Keywords computerized quadrature · Adaptive set of rules · Numerical comparability

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