JC
2008
13 years 11 months ago
2008
JC
2008
13 years 11 months ago
2008
For two subsets W and V of a normed space X. The relative Kolmogorov n-width of W relative to V in X is defined by Kn(W, V )X := inf Ln sup f W inf gV Ln f - g X, where the infimu...
JC
2008
13 years 11 months ago
2008
JC
2008
13 years 11 months ago
2008
We study the complexity of randomized solution of initial value problems for systems of ordinary differential equations (ODE). The input data are assumed to be -smooth ( = r+ : th...
JC
2008
13 years 11 months ago
2008
In this paper we analyze the problem of adaptivity for one-step numerical methods for solving ODEs, both IVPs and BVPs, with a view to generating grids of minimal computational co...
JC
2008
13 years 11 months ago
2008
Tractability properties of various notions of discrepancy have been intensively studied in the last decade. In this paper we consider the so-called weighted star discrepancy which...
JC
2008
13 years 11 months ago
2008
We introduce a generalization of Sidel'nikov sequences for arbitrary finite fields. We show that several classes of Sidel'nikov sequences over arbitrary finite fields ex...
JC
2008
13 years 11 months ago
2008
We study multivariate approximation for continuous functions in the average case setting. The space of d variate continuous functions is equipped with the zero mean Gaussian measu...
JC
2008
13 years 11 months ago
2008
We show several estimates on the probability distribution of some data at points in real complete intersection varieties: norms of real affine solutions, condition number of real ...
JC
2008
13 years 11 months ago
2008
We give an upper bound in O(d(n+1)/2 ) for the number of critical points of a normal random polynomial. The number of minima (resp. maxima) is in O(d(n+1)/2 )Pn, where Pn is the (...