Results 251 to 260 of about 88,361 (282)
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2013
In the recent decade, there has been a growing interest in the numerical treatment of high-dimensional problems. It is well known that classical numerical discretization schemes fail in more than three or four dimensions due to the curse of dimensionality.
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In the recent decade, there has been a growing interest in the numerical treatment of high-dimensional problems. It is well known that classical numerical discretization schemes fail in more than three or four dimensions due to the curse of dimensionality.
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Smart-Grid Topology Identification Using Sparse Recovery
IEEE Transactions on Industry Applications, 2015Smart grid (SG) technology reshapes the traditional power grid into a dynamical network with a layer of information that flows along the energy system. Recorded data from a variety of parameters in SGs can improve the analysis of different supervisory problems, but an important issue is their cost and power efficiency in data analysis procedures.
Mohammad Babakmehr +4 more
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Particle Tracing on Sparse Grids
1998These days sparse grids are of increasing interest in numerical simulations. Based upon hierarchical tensor product bases, the sparse grid approach is a very efficient one improving the ratio of invested storage and computing time to the achieved accuracy for many problems in the area of numerical solution of differential equations, for instance in ...
Christian Teitzel +2 more
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Mixed finite elements on sparse grids
Numerische Mathematik, 2003The authors are concerned with the construction of discrete differential forms of lowest order on regular sparse grids. They analyse fairly rigorously their approximation properties and find accurate and computable approximations for nodal interpolation operators.
Gradinaru, V., Hiptmair, R.
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Parallel Adaptively Refined Sparse Grids
2000A parallel version of a finite difference discretization of PDEs on sparse grids is proposed. Sparse grids or hyperbolic crosspoints can be used for the efficient representation of solutions of a boundary value problem, especially in high dimensions, because the number of grid points depends only weakly on the dimension.
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2012
The technique of sparse grids allows to overcome the curse of dimensionality, which prevents the use of classical numerical discretization schemes in more than three or four dimensions, under suitable regularity assumptions. The approach is obtained from a multi-scale basis by a tensor product construction and subsequent truncation of the resulting ...
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The technique of sparse grids allows to overcome the curse of dimensionality, which prevents the use of classical numerical discretization schemes in more than three or four dimensions, under suitable regularity assumptions. The approach is obtained from a multi-scale basis by a tensor product construction and subsequent truncation of the resulting ...
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Collective nonlinear dynamics and self-organization in decentralized power grids
Reviews of Modern Physics, 2022Dirk Witthaut +2 more
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Machine learning for a sustainable energy future
Nature Reviews Materials, 2022Zhenpeng Yao +2 more
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