FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2051993838> ?p ?o ?g. }

• W2051993838 endingPage "B794" @default.
• W2051993838 startingPage "B777" @default.
• W2051993838 abstract "We present a fast and accurate algorithm for the evaluation of nonlocal (long-range) Coulomb and dipole-dipole interactions in free space. The governing potential is simply the convolution of an interaction kernel $U(mathbf{x})$ and a density function $rho(mathbf{x})=|psi(mathbf{x})|^2$ for some complex-valued wave function $psi(mathbf{x})$, permitting the formal use of Fourier methods. These are hampered by the fact that the Fourier transform of the interaction kernel $widehat{U}(mathbf{k})$ has a singularity and/or $widehat{rho}(mathbf{k})ne0$ at the origin $mathbf{k}={bf 0}$ in Fourier (phase) space. Thus, accuracy is lost when using a uniform Cartesian grid in $mathbf{k}$ which would otherwise permit the use of the FFT for evaluating the convolution. Here, we make use of a high-order discretization of the Fourier integral, accelerated by the nonuniform fast Fourier transform (NUFFT). By adopting spherical and polar phase-space discretizations in three and two dimensions, respectively, the singularity in $hat{U}(mathbf{k})$ at the origin is canceled so that only a modest number of degrees of freedom are required to evaluate the Fourier integral, assuming that the density function $(rhomathbf{x})$ is smooth and decays sufficiently quickly as $|mathbf{x}| rightarrow infty$. More precisely, the calculation requires $O(Nlog N)$ operations, where $N$ is the total number of discretization points in the computational domain. Numerical examples are presented to demonstrate the performance of the algorithm." @default.
• W2051993838 created "2016-06-24" @default.
• W2051993838 creator A5057037289 @default.
• W2051993838 creator A5064750893 @default.
• W2051993838 creator A5074875493 @default.
• W2051993838 date "2014-01-01" @default.
• W2051993838 modified "2023-09-26" @default.
• W2051993838 title "Fast and Accurate Evaluation of Nonlocal Coulomb and Dipole-Dipole Interactions via the Nonuniform FFT" @default.
• W2051993838 cites W1964066535 @default.
• W2051993838 cites W1967173056 @default.
• W2051993838 cites W1969372542 @default.
• W2051993838 cites W1971281392 @default.
• W2051993838 cites W1973878334 @default.
• W2051993838 cites W1979426933 @default.
• W2051993838 cites W1985640971 @default.
• W2051993838 cites W1992056272 @default.
• W2051993838 cites W1993982176 @default.
• W2051993838 cites W1997096414 @default.
• W2051993838 cites W1998152471 @default.
• W2051993838 cites W2004791619 @default.
• W2051993838 cites W2008100982 @default.
• W2051993838 cites W2008111652 @default.
• W2051993838 cites W2010122118 @default.
• W2051993838 cites W2011066618 @default.
• W2051993838 cites W2012300893 @default.
• W2051993838 cites W2013008485 @default.
• W2051993838 cites W2013529907 @default.
• W2051993838 cites W2019602084 @default.
• W2051993838 cites W2022110483 @default.
• W2051993838 cites W2029106707 @default.
• W2051993838 cites W2031375452 @default.
• W2051993838 cites W2040149045 @default.
• W2051993838 cites W2040823523 @default.
• W2051993838 cites W2046675645 @default.
• W2051993838 cites W2047457555 @default.
• W2051993838 cites W2048737717 @default.
• W2051993838 cites W2050338742 @default.
• W2051993838 cites W2052430562 @default.
• W2051993838 cites W2053492453 @default.
• W2051993838 cites W2059486887 @default.
• W2051993838 cites W2061171222 @default.
• W2051993838 cites W2061726996 @default.
• W2051993838 cites W2065222678 @default.
• W2051993838 cites W2066606344 @default.
• W2051993838 cites W2069883496 @default.
• W2051993838 cites W2069970911 @default.
• W2051993838 cites W2074326410 @default.
• W2051993838 cites W2075114155 @default.
• W2051993838 cites W2078499533 @default.
• W2051993838 cites W2083206954 @default.
• W2051993838 cites W2083268850 @default.
• W2051993838 cites W2083561837 @default.
• W2051993838 cites W2093576370 @default.
• W2051993838 cites W2099944953 @default.
• W2051993838 cites W2117926105 @default.
• W2051993838 cites W2120224888 @default.
• W2051993838 cites W2132820941 @default.
• W2051993838 cites W2146590950 @default.
• W2051993838 cites W2148922310 @default.
• W2051993838 cites W2154630483 @default.
• W2051993838 cites W2230728100 @default.
• W2051993838 cites W3097980629 @default.
• W2051993838 cites W3102301202 @default.
• W2051993838 doi "https://doi.org/10.1137/130945582" @default.
• W2051993838 hasPublicationYear "2014" @default.
• W2051993838 type Work @default.
• W2051993838 sameAs 2051993838 @default.
• W2051993838 citedByCount "42" @default.
• W2051993838 countsByYear W20519938382014 @default.
• W2051993838 countsByYear W20519938382015 @default.
• W2051993838 countsByYear W20519938382016 @default.
• W2051993838 countsByYear W20519938382017 @default.
• W2051993838 countsByYear W20519938382018 @default.
• W2051993838 countsByYear W20519938382019 @default.
• W2051993838 countsByYear W20519938382020 @default.
• W2051993838 countsByYear W20519938382021 @default.
• W2051993838 countsByYear W20519938382022 @default.
• W2051993838 countsByYear W20519938382023 @default.
• W2051993838 crossrefType "journal-article" @default.
• W2051993838 hasAuthorship W2051993838A5057037289 @default.
• W2051993838 hasAuthorship W2051993838A5064750893 @default.
• W2051993838 hasAuthorship W2051993838A5074875493 @default.
• W2051993838 hasBestOaLocation W20519938382 @default.
• W2051993838 hasConcept C102519508 @default.
• W2051993838 hasConcept C11413529 @default.
• W2051993838 hasConcept C114614502 @default.
• W2051993838 hasConcept C119857082 @default.
• W2051993838 hasConcept C121332964 @default.
• W2051993838 hasConcept C134306372 @default.
• W2051993838 hasConcept C14036430 @default.
• W2051993838 hasConcept C16171025 @default.
• W2051993838 hasConcept C173523689 @default.
• W2051993838 hasConcept C33923547 @default.
• W2051993838 hasConcept C41008148 @default.
• W2051993838 hasConcept C45347329 @default.
• W2051993838 hasConcept C50644808 @default.
• W2051993838 hasConcept C62520636 @default.
• W2051993838 hasConcept C73000952 @default.

• next