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High-Order Unconditionally Stable Two-Step Leapfrog ADI-FDTD Methods and Numerical Analysis

IEEE Transactions on Antennas and Propagation, 2013
High-order unconditionally stable two-step leapfrog alternating direction implicit-finite-difference time-domain (ADI-FDTD) methods in three-dimensional (3-D) domains are presented. Based on the exponential evolution operator (EEO), the Maxwell's equations in a matrix form can be split into four subprocedures first, and then two subprocedures are ...
Yong-Dan Kong, Qing-Xin Chu, Rong-Lin Li
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An unconditionally stable numerical method for bimodal image segmentation

Applied Mathematics and Computation, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yibao Li, Junseok Kim
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A technique for reducing the numerical dispersion of conditionally and unconditionally stable FDTD methods

2008 IEEE Antennas and Propagation Society International Symposium, 2008
We present an approach to reduce the numerical dispersion of the FDTD method for its conditionally and unconditionally stable implementations. Significant reduction of the numerical error is achieved in a wide frequency band and for low spatial sampling rates.
S. Ogurtsov, S. Georgakopoulos
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A two-step unconditionally stable explicit method with controllable numerical dissipations

Earthquake Engineering and Engineering Vibration, 2019
A family of unconditionally stable direct integration algorithm with controllable numerical dissipations is proposed. The numerical properties of the new algorithms are controlled by three parameters α, β and γ. By the consistent and stability analysis, the proposed algorithms achieve the second-order accuracy and are unconditionally stable under the ...
Jinze Li, Kaiping Yu, Xiangyang Li
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Novel Unconditionally Stable ADI-FDTD Method with Low Numerical Dispersion

2018 IEEE International Symposium on Antennas and Propagation & USNC/URSI National Radio Science Meeting, 2018
A novel unconditional stable 2-D ADI-FDTD method with low numerical dispersion is introduced. The proposed method reformed the weighting factor and scaling factor of the isotropic-dispersion FDTD (ID-FDTD) for an optimized ADI-FDTD method, which can generate nearly the exact phase velocity for a single frequency.
Jinchao Ding   +4 more
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Unconditionally stable numerical methods for Cahn-Hilliard-Navier-Stokes-Darcy system with different densities and viscosities

Journal of Computational Physics, 2022
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Yali Gao   +3 more
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Towards the development of unconditionally stable time-domain meshless numerical methods

2009 IEEE MTT-S International Microwave Symposium Digest, 2009
Meshless methods have recently emerged as robust numerical techniques for electromagnetic modeling in time domain. In those methods, a problem domain is represented by scattered spatial nodes instead of numerical meshes, thus the conformal modeling of boundaries and solution refinements can be conveniently achieved.
null Yiqiang Yu, Zhizhang Chen
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An unconditionally stable numerical method for the Luo–Rudy 1 model used in simulations of defibrillation

Mathematical Biosciences, 2007
Numerical simulations of defibrillation using the Bidomain model coupled to a model of membrane kinetics represent a serious numerical challenge. This is because very high voltages close to defibrillation electrodes demand that extreme time step restrictions be placed on standard numerical schemes, e.g. the forward Euler scheme.
Hanslien, Monica   +2 more
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Novel linear decoupled and unconditionally energy stable numerical methods for the modified phase field crystal model

Applied Numerical Mathematics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhengguang Liu, Shuangshuang Chen
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One-step Unconditionally Stable FDTD method and its numerical dispersion analysis

2008 International Conference on Microwave and Millimeter Wave Technology, 2008
The proposed two-dimensional one-step unconditionally stable finite-difference time-domain algorithm (one-step US-FDTD) is an implicit numerical scheme with second-order accuracy in both time and space. The method is performed using only one procedure, but not two sub-updating procedures.
null Song Liu   +3 more
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