Results 291 to 300 of about 32,867,929 (328)

ADI on staggered mesh—A method for the calculation of compressible convection

Journal of Computational Physics, 1982
An alternating direction implicit (ADI) method has been applied to a staggered grid for the computation of convection in a highly stratified fluid. Since artificial viscosity is not needed, subtle effects like the onset of convection can be studied.
Chan, K.L., Wolff, C.L.
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A grid based ADI method for the problem of two phase solidification

, 2021
S. Nandi, Y. Sanyasiraju
semanticscholar   +1 more source

Maximum norm error bounds of ADI and compact ADI methods for solving parabolic equations

Numerical Methods for Partial Differential Equations, 2008
AbstractAlternating direction implicit (ADI) schemes are computationally efficient and widely utilized for numerical approximation of the multidimensional parabolic equations. By using the discrete energy method, it is shown that the ADI solution is unconditionally convergent with the convergence order of two in the maximum norm.
Liao, Honglin, Sun, Zhizhong
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An ADI Petrov–Galerkin method with quadrature for parabolic problems

Numerical Methods for Partial Differential Equations, 2008
AbstractWe propose and analyze a fully discrete Laplace modified alternating direction implicit quadrature Petrov–Galerkin (ADI‐QPG) method for solving parabolic initial‐boundary value problems on rectangular domains. We prove optimal order convergence results for a restricted class of the associated elliptic operator and demonstrate accuracy of our ...
Bialecki, B., Ganesh, M., Mustapha, K.
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On the Source Implementation for the Leapfrog ADI-FDTD Method

IEEE Microwave and Wireless Components Letters, 2013
Different source implementations for the leapfrog ADI-FDTD method including both current and hard sources are investigated in this letter. It is shown that, different from the conventional ADI-FDTD method, the leapfrog one always possesses asymmetry errors, while the hard source results in larger asymmetry errors than the current source.
Xiang-Hua Wang, Wen-Yan Yin, Zhizhang Chen   +2 more
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A variant of the adi method for two-phase flow calculations

Computers & Fluids, 1994
For the purpose of safety analysis of fast-breeder nuclear reactors, computer codes have been developed to describe the three-dimensional single and two-phase flows within the reactor. The author of this paper developed such a code (BACCHUS-3D/TP) in the Argonne National Laboratory in the United States, and the purpose of this paper is to document ...
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A compact ADI method and its extrapolation for time fractional sub-diffusion equations with nonhomogeneous Neumann boundary conditions

Computers and Mathematics with Applications, 2017
Yuan-Ming Wang, Tao Wang
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An unconditionally stable linearized CCD-ADI method for generalized nonlinear Schrödinger equations with variable coefficients in two and three dimensions

Computers and Mathematics with Applications, 2017
Dongdong He, K. Pan
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A Parallel ADI Method for Linear and Non-linear Equations

2001
The key goal of the current paper is to implement a parallel alternating-direction implicit, or ADI, method for solving linear and non-linear equations describing gravitational flow of ground water and realize it on a distributed-memory MIMD-computer under the MPI messagepassing system. Aside from that, the paper represents a comparison of the parallel
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High-order compact ADI method using predictor-corrector scheme for 2D complex Ginzburg-Landau equation

Computer Physics Communications, 2015
A. Shokri, F. Afshari
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