Download An extended doubly-adaptive quadrature method based on the by Hasegawa T., Hibino S., Hosoda Y. PDF

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

Summary An development is made to an automated quadrature because of Ninomiya (J. Inf. strategy. 3:162–170, 1980) of adaptive variety in response to 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 evaluate the current strategy in functionality with a few others by utilizing a number of try 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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