Results 281 to 290 of about 32,867,929 (328)

On MultiScale ADI Methods for Parabolic PDEs with a Discontinuous Coefficient

Multiscale Modeling & Simulation, 2018
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Zhilin Li 0002, Xiao-hong Chen 0001, Zhengru Zhang   +2 more
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An Unconditionally Stable ADI Method for the Linear Hyperbolic Equation in Three Space Dimensions

International Journal of Computer Mathematics, 2002
R K Mohanty, M K Jain, Urvashi Arora
exaly   +2 more sources

A parameter optimized ADI-FDTD method

IEEE Antennas and Wireless Propagation Letters, 2003
We present a parameter optimized alternating-direction implicit (ADI)-finite-difference time-domain (FDTD) method. This parameter optimized ADI-FDTD algorithm can minimize the dispersion error for arbitrary incident angles and for different time-step sizes.
null Muhu Wang, null Zhu Wang, null Ji Chen   +2 more
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A Multigrid-Enhanced Iterative ADI Method

IEEE MTT-S International Microwave Symposium Digest, 2005., 2005
We propose a multigrid Alternating-Direction Implicit (ADI) method for solving Maxwell's equations in this paper. This method is based on the interpretation of the ADI method as an iterative solver of the Crank-Nicolson (CN) scheme. By introducing a special solving procedure for the residual equation within the ADI framework, multigrid schemes are ...
Shumin Wang, Ji Chen
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Efficient ADI and spline ADI methods for the steady‐state Navier‐Stokes equations

International Journal for Numerical Methods in Fluids, 1984
AbstractThe present paper provides an improved alternating direction implicit (ADI) technique as well as high‐order‐accurate spline ADI method for the numerical solution of steady two‐dimensional incompressible viscous flow problems. The vorticity‐stream function Navier‐Stokes equations are considered in a general curvilinear coordinate system, which ...
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Errata to "On the accuracy of the ADI-FDTD method"

IEEE Antennas and Wireless Propagation Letters, 2002
In the above-named work [ibid., vol. 1, pp. 31–34, 2002], (22) was misaligned. The corrected version is provided.
S.G. Garcia, null Tae-Woo Lee, S.C. Hagness   +2 more
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Parallel implementation of the ADI‐FDTD method

Microwave and Optical Technology Letters, 2009
AbstractWe present a parallel implementation of the three‐dimensional alternating direction implicit finite‐difference time‐domain (ADI‐FDTD) method in Cartesian coordinates using the message passing interface (MPI) library. Parallel implementations not only speed up computations but also increase the maximum solvable problem size.
T. Stefański, T. D. Drysdale
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Numerical Algorithms, 2023
Ziyi Zhou, Haixiang Zhang, Xuehua Yang
semanticscholar   +1 more source

On a Communication Scheme for the Parallel ADI Method

AIP Conference Proceedings, 2009
In the paper various approaches to parallelization of the alternating‐direction implicit (ADI) method are discussed and a new communication scheme is considered. This scheme couples processors to make communication between processors independent of the other processors.
Igor V. Shevchenko, George Maroulis, Theodore E. Simos   +2 more
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A Parallel ADI and Steepest Descent Methods

2001
The aim of the paper is an improvement of a parallel alternating-direction implicit, or ADI, method for solving the two-dimensional equation of ground water flow and its implementation on a distributed-memory MIMD-computer under the MPI message-passing system.
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