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JC
2007
54views more  JC 2007»
13 years 11 months ago
A survey of randomized algorithms for control synthesis and performance verification
Giuseppe C. Calafiore, Fabrizio Dabbene, Roberto T...
JC
2007
64views more  JC 2007»
13 years 11 months ago
Quadrature in Besov spaces on the Euclidean sphere
Let q ≥ 1 be an integer, Sq denote the unit sphere embedded in the Euclidean space Rq+1, and µq be its Lebesgue surface measure. We establish upper and lower bounds for sup f...
Kerstin Hesse, H. N. Mhaskar, Ian H. Sloan
JC
2007
119views more  JC 2007»
13 years 11 months ago
Deterministic constructions of compressed sensing matrices
Compressed sensing is a new area of signal processing. Its goal is to minimize the number of samples that need to be taken from a signal for faithful reconstruction. The performan...
Ronald A. DeVore
JC
2007
109views more  JC 2007»
13 years 11 months ago
Cubature formulas for function spaces with moderate smoothness
We construct simple algorithms for high-dimensional numerical integration of function classes with moderate smoothness. These classes consist of square-integrable functions over t...
Michael Gnewuch, René Lindloh, Reinhold Sch...
JC
2007
130views more  JC 2007»
13 years 11 months ago
On the complexity of deciding connectedness and computing Betti numbers of a complex algebraic variety
We extend the lower bounds on the complexity of computing Betti numbers proved in [6] to complex algebraic varieties. More precisely, we first prove that the problem of deciding ...
Peter Scheiblechner
JC
2007
94views more  JC 2007»
13 years 11 months ago
On the complexity of the multivariate Sturm-Liouville eigenvalue problem
We study the complexity of approximating the smallest eigenvalue of −∆ + q with Dirichlet boundary conditions on the d-dimensional unit cube. Here ∆ is the Laplacian, and th...
A. Papageorgiou
JC
2007
160views more  JC 2007»
13 years 11 months ago
BDDC methods for discontinuous Galerkin discretization of elliptic problems
A discontinuous Galerkin (DG) discretization of Dirichlet problem for second-order elliptic equations with discontinuous coefficients in 2-D is considered. For this discretization...
Maksymilian Dryja, Juan Galvis, Marcus Sarkis
JC
2007
62views more  JC 2007»
13 years 11 months ago
Error propagation of general linear methods for ordinary differential equations
John C. Butcher, Zdzislaw Jackiewicz, W. M. Wright
JC
2007
70views more  JC 2007»
13 years 11 months ago
Counting solutions to binomial complete intersections
Eduardo Cattani, Alicia Dickenstein