Results 241 to 250 of about 194,427 (265)

Compact Finite Difference Schemes for Approximating Differential Relations

Mathematical Models and Computer Simulations, 2020
Differential relations include both differential operators and solvers for boundary value problems. The formulas of compact finite difference approximations for first- and second-order differential relations of the form $${{P}_{1}}[u] = {{P}_{2}}[f]$$ are obtained. An approximation on three-point stencils is used.
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A predictor–corrector compact finite difference scheme for Burgers’ equation

Applied Mathematics and Computation, 2012
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Zhang, Pei-Guang, Wang, Jian-Ping
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Compact Finite Difference Schemes for Mixed Initial-Boundary Value Problems

SIAM Journal on Numerical Analysis, 1982
This paper discusses a class of compact second order accurate finite difference equations for mixed initial-boundary value problems for hyperbolic and convective-diffusion equations. Convergence is proved by means of energy arguments and both types of equations are solved by similar algorithms.
Philips, Richard B., Rose, Milton E.
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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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Upwind compact finite difference schemes

Journal of Computational Physics, 1985
It was shown by \textit{M. Ciment}, \textit{S. H. Leventhal}, and \textit{B. C. Weinberg} [J. Comput. Phys. 28, 135-166 (1978; Zbl 0393.65038)] that the standard compact finite difference scheme may break down in convection dominated problems. An upwinding of the method, which maintains the fourth order accuracy, is suggested and favorable numerical ...
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Some Stability Inequalities for Compact Finite Difference Schemes

Mathematische Nachrichten, 1988
AbstractFor finite difference schemes of compact form on nonuniform grids approximating m‐th order two‐point boundary value problems stability inequalities are proved which use a norm analogous to the Spijker‐norm in the case of multistep methods. The results are applied to a number of finite difference schemes for which they establish a higher order ...
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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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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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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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