Results 261 to 270 of about 241,782 (323)

Efficient parallel computing with a compact finite difference scheme

Computers & Fluids, 2012
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Kim, J.W., Sandberg, R.D.
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A Novel Temporal Two-Grid Compact Finite Difference Scheme for the Viscous Burgers' Equation

Advances in Applied Mathematics and Mechanics
. We present a novel two-grid compact finite difference scheme for the viscous Burgers’ equation in this paper, where the second-order Crank-Nicolson method is used to deal with the time marching, the compact finite difference formula is used to ...
Xiangyi Peng, Wenlin Qiu, Jiangxing Wang and Lina Ma   +2 more
semanticscholar   +1 more source

A Massively Parallel Algorithm for Compact Finite Difference Schemes

1994 International Conference on Parallel Processing Vol. 3, 1994
A compact scheme is a discretization scheme that is advantageous in obtaining highly accurate solutions. However, the resulting systems from compact schemes are tridiagonal systems that are difficult to solve efficiently on parallel computers. Considering the almost symmetric Toeplitz structure, a parallel algorithm, simple parallel prefix (SPP), is ...
Xian-He Sun Xian-He Sun, R.D. Joslin
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A novel central compact finite-difference scheme for third derivatives with high spectral resolution

arXiv.org
In this paper, we introduce a novel category of central compact schemes inspired by existing cell-node and cell-centered compact finite difference schemes, that offer a superior spectral resolution for solving the dispersive wave equation.
Lavanya V. Salian, Samala Rathan, Debojyoti Ghosh   +2 more
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Optimised boundary compact finite difference schemes for computational aeroacoustics

Journal of Computational Physics, 2006
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High order compact finite difference schemes on nonuniform grids

Applied Numerical Mathematics, 2018
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Čiegis, R., Suboč, O.
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A compact finite difference scheme for the fourth‐order time‐fractional integro‐differential equation with a weakly singular kernel

Numerical Methods for Partial Differential Equations, 2019
In this paper, a compact finite difference scheme is constructed and investigated for the fourth‐order time‐fractional integro‐differential equation with a weakly singular kernel.
Da Xu, W. Qiu, Jing Guo
semanticscholar   +1 more source

Compact finite difference schemes with spectral-like resolution

Journal of Computational Physics, 1992
Finite difference schemes providing an improved representation of a range of scales ( spectral-like resolution) in the evaluation of derivatives are presented. The errors are considered from the viewpoint of different scales. [This may partly compensate for the fact that the consideration of the order of the truncation error is not sufficient for the ...
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Compact Finite Difference Schemes for the Acoustic Wave Equation

78th EAGE Conference and Exhibition 2016, 2016
In this work, we implement and compare two fourth-order compact finite difference (CFD) methods to model the propagation of acoustic waves on a 1-D domain. The first scheme is based on standard implicit CFD constructed on nodal grids and must solve a couple of tridiagonal linear systems at each time iteration.
L. Córdova, O. Rojas, B. Otero, J. Castillo   +3 more
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Holberg's optimisation for high-order compact finite difference staggered schemes

International Journal of Computational Fluid Dynamics, 2011
Two optimised high-order compact finite difference (FD) staggered schemes are presented in this communication. Following Holberg's optimisation strategy, the least squares problem to minimising the group velocity (MGV) error, for the fourth-and sixth-order pentadiagonal schemes, is formulated. For a fixed level of group velocity accuracy, the optimised
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