Results 251 to 260 of about 396,684 (278)

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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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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Financial Applications of Symbolically Generated Compact Finite Difference Formulae

2007
We introduce the standard fourth order compact finite difference formulae. We show how these formulae apply in the special case of the heat equation. It is well known that the American option pricing problem may be formulated in terms of the Black Scholes partial differential equation (PDE) together with a free boundary condition.
Jichao Zhao, Robert M. Corless, Matt Davison   +2 more
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Axisymmetric compact finite-difference lattice Boltzmann method for blood flow simulations

Physical Review E, 2019
An axisymmetric compact finite-difference lattice Boltzmann method is proposed to simulate both Newtonian and non-Newtonian flow of blood through a lumen. The curvature of the arteries could be accurately resolved using body-fitted mesh owing to the proposed finite-difference formulation.
M. Sakthivel, Kameswararao Anupindi
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Compact Combination of the Finite Element, Linear Iteration and Finite Difference Methods

1994
The Galerkin Finite Element Method (FEM), Newton Linear Iteration Method (LIM)1 and Newmark Finite Difference Method (FDM) form a powerful trio of numerical techniques for obtaining approximate solutions to Non-Linear Initial Boundary Value Problems (NLIBVP) governed by Non-Linear Partial Differential Equations (NLPDE).
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Compact Finite Difference Method for Calculating Magnetic Field Components of Cyclotrons

Journal of Computational Physics, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Compact Finite Difference Schemes for Ocean Models

Journal of Computational Physics, 2000
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Compact Hybrid-Grid Finite-Difference Scheme for Wave Propagation

83rd EAGE Annual Conference & Exhibition, 2022
Q. Zhao, C. Zhu, Z. Wei
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