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Titlebook: Numerical Integration III; Proceedings of the C H. Bra?,G. H?mmerlin Conference proceedings 1988 Springer Basel AG 1988 integration.mathema

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41#
發(fā)表于 2025-3-28 15:40:22 | 只看該作者
Universal quadrature rules in the space of periodic functions,IS / RABINOWITZ [.] p. 331). One main objection to the practicality of optimal rules is that they are tailored for one special class of functions. But mostly we are interested in rules, which work well for many classes of functions. It is the aim of this paper to make this idea more precise by the d
42#
發(fā)表于 2025-3-28 20:56:22 | 只看該作者
43#
發(fā)表于 2025-3-29 02:25:37 | 只看該作者
44#
發(fā)表于 2025-3-29 06:08:53 | 只看該作者
Jacobi Moments and a Family of Special Orthogonal Polynomials, a real parameter with 0 < λ < 1. As no closed representation of the orthogonal polynomials .was known, WHEELER was interested in the Chebyshev moments .since the recurrence relation for the .may be derived via modified moments (e.g. Chebyshev moments) using a Cholesky type process. Moreover, Gau?-t
45#
發(fā)表于 2025-3-29 09:54:31 | 只看該作者
46#
發(fā)表于 2025-3-29 11:36:59 | 只看該作者
Some Comments on Quadrature Rule Construction Criteria,s for the error functional, these being generalizations of the Euler Maclaurin asymptotic expansion and the Poisson Summation Formula, respectively. Topics include algebraic and trigonometric degree, Romberg Integration, and the criteria for “Good Lattice” rules. This paper is solely concerned with
47#
發(fā)表于 2025-3-29 18:11:12 | 只看該作者
48#
發(fā)表于 2025-3-29 23:47:54 | 只看該作者
Quasi-Monte Carlo Methods for Multidimensional Numerical Integration,the integration domain to be . = [0,1]., s ≥ 1, then .where ..,..., .. are N independent random samples from the uniform distribution on .. The expected value of the integration error is O(N.). The basic idea of a . is to replace random nodes by well-chosen deterministic nodes, with the aim of getti
49#
發(fā)表于 2025-3-30 03:26:28 | 只看該作者
On Tchebycheff Quadrature Formulas,reviated T-q) on [a,b] if there are n nodes z. ∈ ?, z.. real or complex conjugate, such that . where IP., m ∈ IN., denotes the set of polynomials of degree at most m. If the nodes z., j = 1,...,n, are real, then we call (1.1) a (m,n,d.) T-quadrature formula (T-qf). A (m,n,d.) T-qf is called a strict
50#
發(fā)表于 2025-3-30 06:58:26 | 只看該作者
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