l jaulin & kieffer & didrit - walter applied interval analysis (springer)

...

Ngày tải lên: 09/04/2014, 19:34

... mathematically guaranteed to find all roots within a given starting interval. Interval analysis permits us to compute interval enclosures for the exact values of integrals. Interval methods can ... interval computation can automatically handle the propagation of uncertainties all the way through a lengthy numerical calculation. We also introduce INTLAB, a powerful and flexible MATLAB...

Ngày tải lên: 12/01/2014, 21:46

... 0.0001> intval X = < -0 .0074, 0.0001> < 0.0381, 0.0001> < -0 .1497, 0.0001> < 0.4297, 0.0001> < -0 .7635, 0.0001> < 0.4297, 0.0001> < -0 .1497, 0.0001> < 0.0381, ... midpoint/radius: >> intvalinit(’displaymidrad’) ===> Default display of intervals by midpoint/radius >> x intval x = <1.0000, 0.0101> To change bac...

Ngày tải lên: 12/01/2014, 22:02

... [-al/b2, ~] if a 1 _<0, b2<0 , [-al/bs, ~] if as>O, bs <O, b2 <O, [-~ , ~] if as<O, bl<O<b2, [-~ ,-aa/bz]w[-al/bs,~ ] if ax>O, bl<O<b2, [-~ , -al/bl] ... Global Optimization Using Interval Analysis 259 from the point x* where f is globally minimal. When all of X (~ is deleted, we will know that f- e 1 =<f* __<f Choosing el &g...

Ngày tải lên: 12/01/2014, 22:02

... Computing, Validated Numerics and Interval Methods, pages 281–292. Kluwer, Dordrecht, Netherlands, 2001. [11] L. Jaulin, M. Kieffer, O. Didrit, and E. Walter. Applied Interval Analysis. Springer, London, ... remainder intervals. Such sets need not be convex and thus are more flexible in enclosing the flow than enclosures derived from intervals (cf. Figure 1). -2 -1 .5 -1 -0...

Ngày tải lên: 12/01/2014, 22:04

... covers all single steps of this development. We simply try to list some ∗ Corresponding author. E-mail addresses: goetz.alefeld@math.uni-karlsruhe.de (G. Alefeld), guenter.mayer@mathematik.uni-rostock.de (G. ... 1] ˆ Cdf  ([x]); Journal of Computational and Applied Mathematics 121 (2000) 421–464 www.elsevier.nl/locate/cam Interval analysis: theory and applications Gotz Alefeld a; ∗ ,G...

Ngày tải lên: 12/01/2014, 22:05

... [-al/b2, ~] if a 1 _<0, b2<0 , [-al/bs, ~] if as>O, bs <O, b2 <O, [-~ , ~] if as<O, bl<O<b2, [-~ ,-aa/bz]w[-al/bs,~ ] if ax>O, bl<O<b2, [-~ , -al/bl] ... Global Optimization Using Interval Analysis 259 from the point x* where f is globally minimal. When all of X (~ is deleted, we will know that f- e 1 =<f* __<f Choosing el &g...

Ngày tải lên: 12/01/2014, 22:17

... dark-greenish/green-black and muddy, but does not smell unlike feces of chil- dren and adults. It contains meconium vesicles, downs, squamous cells, lipid droplets and cho- lesterol crystals. ... drugs. Skeletal muscle Garriott [31] and the author et al. [3] clari ed that drug concentrations in the skeletal muscle well re ected those in blood. In the case of alcohol, the skeletal muscle-to...

Ngày tải lên: 03/04/2014, 12:05

... vector [A]matrix x interval x interval lower bound x interval upper bound rad(x)intervalradius m(x)=x c = x +x 2 interval center w(x)= x − x interval width {x} interval vector [A] interval matrix [M] ... some variables are intervals, one can find well suited algorithms, but they consider only full interval matrices, whereas this doesn’t correspond to real physical problems. A n...

Ngày tải lên: 12/01/2014, 21:45