Results 261 to 270 of about 32,867,929 (328)

ADI method – Domain decomposition

Applied Numerical Mathematics, 2006
A domain decomposition algorithm which is based on an implicit prediction and fully implicit scheme for the interior values, for solving parabolic partial differential equations, is presented. It is shown that this algorithm without the correction procedure is unconditionally stable.
Jun, Younbae, Mai, Tsun-Zee
openaire   +1 more source

Three mathematical representations and an improved ADI method for hyperbolic heat conduction

International Journal of Heat and Mass Transfer, 2019
Hyperbolic heat conduction models have been proposed to characterize the breakdown of Fourier’s law, i.e. thermal waves. In this paper, three mathematical representations for hyperbolic heat conduction, namely temperature representation, hybrid ...
Ben-Dian Nie, B. Cao
semanticscholar   +1 more source

Optimum parameters for the generalized ADI method

Numerische Mathematik, 1998
The generalized alternating direction implicit (ADI) method leads to the following rational approximation problem. Let \(E\), \(F\) be two disjoint real intervals and \((m,n)\) be a pair of nonnegative integers. We look for the minimum \[ \sigma_{(m,n)}(E, F)= \min_{r\in R_{m,n}} {\max\{| r(z)|: z\in E\}\over \min\{| r(z)|: z\in F\}}, \] where \(R_{m,n}
Le Bailly De Tilleghem, Benedicte, Thiran, Jean-Pierre   +1 more
openaire   +1 more source

Numerical Simulation of the Coupled Sine-Gordon Equations via a Linearized and Decoupled Compact ADI Method

Numerical Functional Analysis and Optimization, 2019
This article focuses on the development and analysis of a high-order compact (HOC) alternating direction implicit (ADI) method for solving a two-dimensional (2D) coupled sine-Gordon equations, which combines fourth-order compact difference for the ...
Dingwen Deng
semanticscholar   +1 more source

Dynamic ADI Methods for Elliptic Equations

SIAM Journal on Numerical Analysis, 1979
This paper develops “dynamic” ADI methods involving a computerized strategy for completely automatic change of the iteration parameter $\Delta t$ in alternating direction implicit methods for linea...
Doss, Said, Miller, Keith
openaire   +1 more source

A novel high-order ADI method for 3D fractionalconvection–diffusion equations

International Communications in Heat and Mass Transfer, 2015
Shuying Zhai, Pengzhan Huang, Xinlong Feng   +2 more
exaly   +2 more sources

Accuracy improved ADI‐FDTD methods

International Journal of Numerical Modelling: Electronic Networks, Devices and Fields, 2006
AbstractFDTD method plays an important role for simulation of different structures in various fields of engineering, such as RF/microwaves, photonics and VLSI. However, due to the CFL stability constraint, the FDTD time step is still small and the related CPU time is still large for modelling fine geometry where small cell sizes are required to resolve
Ahmed, Iftikhar, Chen, Zhizhang (David)
openaire   +2 more sources

Stability and error estimates of a new high-order compact ADI method for the unsteady 3D convection-diffusion equation

Applied Mathematics and Computation, 2018
In this paper, a new high-order compact ADI method for the unsteady convection–diffusion equation in three dimension(3D) is considered. Collecting the truncation error of the finite difference operator by the recursion method, we derive a new high-order ...
Kun Wang, Hongyue Wang
semanticscholar   +1 more source

On the accuracy of the ADI-FDTD method

IEEE Antennas and Wireless Propagation Letters, 2002
We present an analytical study of the alternating-direction implicit finite-difference time-domain (ADI-FDTD) method for solving time-varying Maxwell's equations and compare its accuracy with that of the Crank-Nicolson (CN) and Yee FDTD schemes. The closed form of the truncation error is obtained for two and three dimensions.
S.G. Garcia, null Tae-Woo Lee, S.C. Hagness   +2 more
openaire   +1 more source

A CCD-ADI method for two-dimensional linear and nonlinear hyperbolic telegraph equations with variable coefficients

International Journal of Computational Mathematics, 2018
In this paper, a combined compact finite difference method (CCD) together with alternating direction implicit (ADI) scheme is developed for two-dimensional linear and nonlinear hyperbolic telegraph equations with variable coefficients.
Buyun Chen, Dongdong He, K. Pan
semanticscholar   +1 more source