Proposal to establish a DFG Priority Program
ثبت نشده
چکیده
منابع مشابه
A Tractability Result for the Clenshaw Curtis Smolyak Algorithm
We consider the problem of integration of d-variate analytic functions defined on the unit cube with directional derivatives of all orders bounded by 1. We prove that the Clenshaw Curtis Smolyak algorithm leads to weak tractability of the problem. This seems to be the first positive tractability result for the Smolyak algorithm for a normalized and unweighted problem. The space of integrands is...
متن کاملAdvanced Stencil-Code Engineering
This report documents the program and the outcomes of Dagstuhl Seminar 15161 “Advanced Stencil-Code Engineering”. The seminar was hosted by the DFG project with the same name (ExaStencils for short) in the DFG priority programme “Software for Exascale Computing” (SPPEXA). It brought together experts from mathematics, computer science and applications to explore the challenges of very high perfo...
متن کاملOn weak tractability of the Clenshaw-Curtis Smolyak algorithm
We consider the problem of integration of d-variate analytic functions defined on the unit cube with directional derivatives of all orders bounded by 1. We prove that the Clenshaw Curtis Smolyak algorithm leads to weak tractability of the problem. This seems to be the first positive tractability result for the Smolyak algorithm for a normalized and unweighted problem. The space of integrands is...
متن کاملComplexity of oscillatory integration for univariate Sobolev spaces
We analyze univariate oscillatory integrals for the standard Sobolev spaces Hs of periodic and non-periodic functions with an arbitrary integer s ≥ 1. We find matching lower and upper bounds on the minimal worst case error of algorithms that use n function or derivative values. We also find sharp bounds on the information complexity which is the minimal n for which the absolute or normalized er...
متن کاملOrganocatalysis
During the past 12 years or so, hardly any other field has impacted the art and science of chemical synthesis more profoundly than organocatalysis. The growth, both in academic research and in industrial use, has been breathtaking. Judging by the development of its impact factor, the Beilstein Journal of Organic Chemistry is currently attempting to achieve the same impact within chemistry publi...
متن کامل