Results 261 to 270 of about 685,779 (325)

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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Multigrid method with eighth-order compact finite difference scheme for Helmholtz equation

Physica Scripta, 2020
Higher-order compact finite difference scheme with multigrid algorithm is applied in this paper for solving one-dimensional and two-dimensional inhomogeneous Helmholtz equations. In two-dimensional case, the suggested scheme has the stencil of twenty one
Fazal Ghaffar, Saif Ullah, N. Badshah
semanticscholar   +1 more source

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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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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Compact Schemes for Multiscale Flows with Cell-Centered Finite Difference Method

Journal of Scientific Computing, 2020
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Yao Jin, Fei Liao, Jinsheng Cai
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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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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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A compact finite difference method for solving Burgers' equation

International Journal for Numerical Methods in Fluids, 2009
AbstractIn this paper, a high‐order accurate compact finite difference method using the Hopf–Cole transformation is introduced for solving one‐dimensional Burgers' equation numerically. The stability and convergence analyses for the proposed method are given, and this method is shown to be unconditionally stable.
Xie, Shusen, Li, Guangxing, Yi, Sucheol, Heo, Sunyeong   +3 more
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Compact Finite Difference Scheme for Euler–Bernoulli Beam Equation with a Simply Supported Boundary Conditions

International Journal of Applied and Computational Mathematics, 2023
M. D. Aouragh, Y. Khali, S. Khallouq, M’hamed Segaoui   +3 more
semanticscholar   +1 more source

Evaluation of Acoustic Simulation Using Wave Equation Finite Difference Time Domain Method with Compact Finite Differences

Japanese Journal of Applied Physics, 2012
In this study, we examine the acoustic simulation method combining the wave equation finite difference time domain (WE FD-TD) method and compact FDs (CPFDs) for the second derivative. The wave equation compact finite difference time domain (WE CPFD-TD) method does not require calculation of the particle velocity; therefore, it can reduce the ...
Naoki Kawada, Takeshi Yoda, Norio Tagawa, Takao Tsuchiya, Kan Okubo   +4 more
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