Precision Degree Research Articles

Error Analysis for AGC Model and Research for the New Function of Mill Characteristic Curve

This paper gives two kind of lock plans of ACC ard advances two control methods of pressure ACC that is one step to the position and several steps to the position. the characteristics of the control methods is discussed, the common formula of the reference value of roll gap is deduced, and the stable error of ACC system is analysed. The paper also studies mill characteristic curve and advances a new optimizing method. so the precision and fitting degree of mill characteristic curve are effectivly improved.

Rappresentazione e valutazione del resto nelle formule di integrazione numerica generalizzate

In previous articles we proved that the truncation errorE(f) of a quadrature formula over the interval [a,b] is always expressible in the form $$E(f) = \lambda _1 f^{(m + 1)} (\xi _1 ) - \lambda _2 f^{(m + 1)} (\xi _2 )$$ withf∈Cm+1[a,b], λ1#x03BB;2 known positive constants, ξ1, ξ12∈]a,b[ generally unknown,m precision degree. Further we gave a similar representation, obviously more complicated, for the truncation error of integration formulas over multidimensional intervals. Developing logically the above mentioned researches, here we consider composite integration rules; as a matter of fact it is possible, not only to extend the preceding results, but also to find characteristic asymptotic properties of the truncation error representation, deeply related to the subdivision of the integration interval. Some numerical evaluations point out the applicability of the obtained estimations.