JC 2007 | Sciweavers

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

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JC
2007

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Deterministic constructions of compressed sensing matrices

13 years 4 months ago

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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

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JC
2007

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Cubature formulas for function spaces with moderate smoothness

13 years 4 months ago

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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...

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2007

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On the complexity of deciding connectedness and computing Betti numbers of a complex algebraic variety

13 years 4 months ago

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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

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2007

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On the complexity of the multivariate Sturm-Liouville eigenvalue problem

13 years 4 months ago

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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

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2007

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BDDC methods for discontinuous Galerkin discretization of elliptic problems

13 years 4 months ago

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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

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2007

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Error propagation of general linear methods for ordinary differential equations

13 years 4 months ago