Results 21 to 30 of about 18,426 (124)

Approximation Theory for Matrices [PDF]

open access: yes, 2004
We review the theory of optimal polynomial and rational Chebyshev approximations, and Zolotarev's formula for the sign function over the range (\epsilon \leq |z| \leq1).
A.D. Kennedy   +25 more
core   +2 more sources

Parallel eigensolvers in plane-wave Density Functional Theory [PDF]

open access: yes, 2014
We consider the problem of parallelizing electronic structure computations in plane-wave Density Functional Theory. Because of the limited scalability of Fourier transforms, parallelism has to be found at the eigensolver level.
Levitt, Antoine, Torrent, Marc
core   +3 more sources

An efficient spectral algorithm for non-linear astrophysical Lane–Emden problem using pseudo-Chebyshev wavelets with error analysis

open access: yesFranklin Open
Mother wavelets play a crucial role in wavelet analysis, leading to the development of several well-known families such as Haar, Morlet, Legendre, and Chebyshev wavelets.
Susheel Kumar   +3 more
doaj   +1 more source

Stochastic collocation on unstructured multivariate meshes

open access: yes, 2015
Collocation has become a standard tool for approximation of parameterized systems in the uncertainty quantification (UQ) community. Techniques for least-squares regularization, compressive sampling recovery, and interpolatory reconstruction are becoming ...
Narayan, Akil, Zhou, Tao
core   +1 more source

Polynomial approximation via compressed sensing of high-dimensional functions on lower sets

open access: yes, 2016
This work proposes and analyzes a compressed sensing approach to polynomial approximation of complex-valued functions in high dimensions. Of particular interest is the setting where the target function is smooth, characterized by a rapidly decaying ...
Chkifa, Abdellah   +3 more
core   +1 more source

A New Template Family For The Detection Of Gravitational Waves From Comparable Mass Black Hole Binaries

open access: yes, 2007
In order to improve the phasing of the comparable-mass waveform as we approach the last stable orbit for a system, various re-summation methods have been used to improve the standard post-Newtonian waveforms.
C. W. Helstrom   +6 more
core   +1 more source

Identification of flexible structures for robust control [PDF]

open access: yes, 1989
Documentation is provided of the authors' experience with modeling and identification of an experimental flexible structure for the purpose of control design, with the primary aim being to motivate some important research directions in this area. A multi-
Balas, Gary J., Doyle, John C.
core   +1 more source

Universal Gripper for Industrial Manipulation With Enhanced Rigid Mechanics and Self‐Adaptable Fingers

open access: yesAdvanced Robotics Research, EarlyView.
An enhanced universal gripper combining rigid mechanics with self‐adaptable fingers is presented for industrial automation. The novel six‐bar linkage with integrated compliant pad eliminates mechanical interference while enabling passive shape adaptation.
Muhammad Usman Khalid   +7 more
wiley   +1 more source

RAMS: Residual‐Based Adversarial‐Gradient Moving Sample Method for Scientific Machine Learning in Solving Partial Differential Equations

open access: yesAdvanced Intelligent Discovery, EarlyView.
We propose a residual‐based adversarial‐gradient moving sample (RAMS) method for scientific machine learning that treats samples as trainable variables and updates them to maximize the physics residual, thereby effectively concentrating samples in inadequately learned regions.
Weihang Ouyang   +4 more
wiley   +1 more source

Nonlinear tensor product approximation of functions [PDF]

open access: yes, 2014
We are interested in approximation of a multivariate function $f(x_1,\dots,x_d)$ by linear combinations of products $u^1(x_1)\cdots u^d(x_d)$ of univariate functions $u^i(x_i)$, $i=1,\dots,d$.
Bazarkhanov, D., Temlyakov, V.
core   +1 more source

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