Results 241 to 250 of about 396,684 (278)

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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Generalized finite compact difference scheme for schock/complex flowfield interaction.

40th Fluid Dynamics Conference and Exhibit, 2010
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Shen, Yiqing, Zha, Gecheng
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Compact fourth-order finite difference method for solving differential equations

Physical Review E, 2001
We present a fourth-order finite difference (FD) method for solving two-dimensional partial differential equations. The FD operator uses a compact nine-point stencil on a regular square grid. Despite the regular grid, Dirichlet boundary conditions can be applied on an arbitrarily shaped boundary without resorting to the usual stepped approximation.
P B, Wilkinson, T M, Fromhold, C R, Tench, R P, Taylor, A P, Micolich   +4 more
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Optimised boundary compact finite difference schemes for computational aeroacoustics

Journal of Computational Physics, 2006
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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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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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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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