Results 291 to 300 of about 351,224 (307)

Generalized Summation by Parts Operators: Second Derivative and Time-Marching Methods

2015
This paper describes extensions of the generalized summation-by-parts (GSBP) framework to the approximation of the second derivative with a variable coefficient and to time integration. GSBP operators for the second derivative lead to more efficient discretizations, relative to the classical finite-difference SBP approach, as they can require fewer ...
Del Rey Fernández, David C., Boom, Pieter D., Zingg, David W.   +2 more
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RIGHT HADAMARD FRACTIONAL DIFFERENCES AND SUMMATION BY PARTS

Rocky Mountain Journal of Mathematics
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Wei, Jia-Li, Wu, Guo-Cheng, Lozi, René
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On Coordinate Transformations for Summation-by-Parts Operators

Journal of Scientific Computing, 2004
Many problems in computational fluid dynamics require very accurate spatial resolution to correctly model high frequency phenomena. The author examines properties of a special class of high order finite difference operators obeying a summation-by-parts rule (SBP-operators) developed by \textit{H. O. Kreiss} and \textit{G.
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ABEL'S METHOD ON SUMMATION BY PARTS FOR ELLIPTIC HYPERGEOMETRIC SERIES

Communications in Contemporary Mathematics, 2009
By means of Abel's lemma on summation by parts, a new approach for evaluating elliptic hypergeometric series is presented. Some well-known terminating series identities are reviewed and several new transformation and summation formulae are established.
CHU, Wenchang, JIA C.
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Abel's method on summation by parts and hypergeometric series

Journal of Difference Equations and Applications, 2006
Hypergeometric series identities are revisited systematically by means of Abel's method on summation by parts. Several new formulae and transformations are also established. The author is convinced that Abel's method on summation by parts is a natural choice in dealing with classical hypergeometric series.
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Full-Spectrum Dispersion Relation Preserving Summation-by-Parts Operators

SIAM Journal on Numerical Analysis
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Christopher Williams, Kenneth Duru
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Abel's method on summation by parts and hypergeometric contiguous relations

Integral Transforms and Special Functions, 2007
The modified Abel lemma on summation by parts is employed to investigate contiguous relations of classical hypergeometric 3 F 2-series. Several known and new two- and three-term relations are established. Inspired by the recent work due to Krattenthaler and Rivoal [Krattenthaler, C. and Rivoal, T., 2006, How can we escape Thomae's relations. Journal of
CHU, Wenchang, WANG X.
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Abel’s lemma on summation by parts and terminating q-series identities

Numerical Algorithms, 2008
The authors use a quite simple and classical argument\,---\,Abel's summation by parts, to derive new and known summation and transformation formulas for terminating basic hypergeometric series.
CHU, Wenchang, Wang X.
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From the summation-by-parts algorithm to pi

IEEE Antennas and Propagation Magazine, 2005
The summation-by-parts algorithm has been introduced as a simple way of accelerating the convergence of some series arising in the modal evaluation of Green's functions in waveguides and cavities. It can be considered to be a discrete equivalent of the classical integration-by-parts technique, whence the name. An evaluation of the real improvement that
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Summation-by-Parts and Correction Procedure via Reconstruction

2017
The correction procedure via reconstruction (CPR, also known as flux reconstruction), is a framework of high order methods for conservation laws, unifying some discontinuous Galerkin, spectral difference and spectral volume methods. These methods are embedded in the framework of summation-by-parts (SBP) operators with simultaneous approximation terms ...
Hendrik Ranocha, Philipp Öffner, Thomas Sonar   +2 more
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