复杂
发表于 2025-3-21 17:14:27
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Shuttle
发表于 2025-3-21 23:33:54
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发电机
发表于 2025-3-22 02:46:22
Fast Generation of Quadrature Rules with Some Special Propertiess derived from approximations to . generated by implicit linear multistep formulae. Suitable “starting” weights, computed using the Björck-Pereyra algorithm and FFT techniques, produce formulae with good order accuracy for functions φ(.) of the form .. The discussion is associated with FORTRAN 77 code given in .
ROOF
发表于 2025-3-22 06:45:04
Approximate Computation of Strongly Oscillatory Integrals with Compound Precisions periodic of period unity in ., and λ is a large parameter. It is shown that there can be found a class of quadrature formulas which possess any preassigned compound precision [.,λ.]. Moreover, the results announced in our abstract are refined and improved.
戏法
发表于 2025-3-22 09:59:47
978-94-010-8227-3D. Reidel Publishing Company, Dordrecht, Holland 1987
Foam-Cells
发表于 2025-3-22 13:29:16
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instulate
发表于 2025-3-22 17:41:54
Modified Clenshaw-Curtis Integration and Applications to Numerical Computation of Integral TransformThe main difficulty in using modified Clenshaw-Curtis integration for computing Singular and oscillatory integrals is the computation of the modified moments. In this paper we give recurrence formulae for computing modified moments for a number of important weight functions.
Pathogen
发表于 2025-3-23 00:20:05
Indefinite Integration Formulas Based on the Sinc ExpansionThe “Tanh rule” of C. Schwartz approximates . by ., where . = .(.) is given by a certain formula; .. This integration rule has been shown to be remarkably accurate. Its error is . for some . > 0 even when the integrand is infinite at an endpoint of the integration interval.
Expurgate
发表于 2025-3-23 04:31:36
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破译
发表于 2025-3-23 08:32:42
Quadrature Rules with End-Point Corrections: Comments on a Paper by Garloff, Solak and SzydelkoGarloff, Solak and Szydelko have proposed a modified trapezoidal rule quadrature with correction terms involving two points outside the range of integration. The rule is exact for cubics. We show: