Results 21 to 30 of about 194,427 (265)
A parallel compact-TVD method for compressible fluid dynamics employing shared and distributed-memory paradigms [PDF]
, 2011 A novel multi-block compact-TVD finite difference method for the simulation of compressible flows is presented. The method combines distributed and shared-memory paradigms to take advantage of the configuration of modern supercomputers that host many ...
Emerson, David +2 more
core +1 more source
A unified framework to generate optimized compact finite difference schemes [PDF]
Journal of Computational Physics, 2021 A unified framework to derive optimized compact schemes for a uniform grid is presented. The optimal scheme coefficients are determined analytically by solving an optimization problem to minimize the spectral error subject to equality constraints that ensure specified order of accuracy.
Deshpande, Vedang M. +2 more
openaire +2 more sources
Advances in Difference Equations, 2018 This paper proposes and analyzes an efficient compact finite difference scheme for reaction–diffusion equation in high spatial dimensions. The scheme is based on a compact finite difference method (cFDM) for the spatial discretization.
Rongpei Zhang +3 more
doaj +1 more source
A High Accuracy Local One-Dimensional Explicit Compact Scheme for the 2D Acoustic Wave Equation
Advances in Mathematical Physics, 2022 In this paper, we develop a highly accurate and efficient finite difference scheme for solving the two-dimensional (2D) wave equation. Based on the local one-dimensional (LOD) method and Padé difference approximation, a fourth-order accuracy explicit ...
Mengling Wu, Yunzhi Jiang, Yongbin Ge
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Multigrid Method for Solution of 3D Helmholtz Equation Based on HOC Schemes
Abstract and Applied Analysis, 2014 A higher order compact difference (HOC) scheme with uniform mesh sizes in different coordinate directions is employed to discretize a two- and three-dimensional Helmholtz equation.
Fazal Ghaffar, Noor Badshah, Saeed Islam
doaj +1 more source
A Novel High-Order Symplectic Compact FDTD Schemes for Optical Waveguide Simulation
IEEE Photonics Journal, 2022 As a 2-D full-wave numerical algorithm in the time domain, the compact Finite Difference Time Domain (FDTD) is an efficient algorithm for eigenvalue analysis of optical waveguide system.
Xiaojing Kuang +5 more
doaj +1 more source
On Secrecy Rate Analysis of MIMO Wiretap Channels Driven by Finite-Alphabet Input [PDF]
, 2012 This work investigates the effect of finite-alphabet source input on the secrecy rate of a multi-antenna wiretap system. Existing works have characterized maximum achievable secrecy rate or secrecy capacity for single and multiple antenna systems based ...
Bashar, Shafi +2 more
core +3 more sources
Invariant compact finite difference schemes
, 2019 In this paper, we propose a method, that is based on equivariant moving frames, for development of high order accurate invariant compact finite difference schemes that preserve Lie symmetries of underlying partial differential equations. In this method, variable transformations that are obtained from the extended symmetry groups of PDEs are used to ...
Ozbenli, Ersin, Vedula, Prakash
openaire +2 more sources
ON COMPACT 4TH ORDER FINITE-DIFFERENCE SCHEMES FOR THE WAVE EQUATION
Mathematical Modelling and Analysis, 2021 We consider compact finite-difference schemes of the 4th approximation order for an initial-boundary value problem (IBVP) for the n-dimensional nonhomogeneous wave equation, n≥ 1. Their construction is accomplished by both the classical Numerov approach and alternative technique based on averaging of the equation, together with further necessary ...
Alexander Zlotnik, Olga Kireeva
openaire +5 more sources
Mathematics in Applied Sciences and Engineering, 2020 We describe a quasi-variable meshes implicit compact finite-difference discretization having an accuracy of order four in the spatial direction and second-order in the temporal direction for obtaining numerical solution values of generalized Burger’s ...
Navnit Jha, Madhav Wagley
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