Results 241 to 250 of about 25,445 (266)
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Computers & Mathematics with Applications, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huanrong Li +3 more
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huanrong Li +3 more
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International Journal for Numerical Methods in Engineering, 1982
AbstractThird‐ and fourth‐order accurate Nørsett rational approximations to the exponential and associated semi‐implicit Runge–Kutta methods are used for the construction of efficient, accurate and unconditionally stable schemes for the direct numerical integration of the linear, nonhomogeneous, second‐order equations of structural dynamics.
Dougalis, Vassilios A. +1 more
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AbstractThird‐ and fourth‐order accurate Nørsett rational approximations to the exponential and associated semi‐implicit Runge–Kutta methods are used for the construction of efficient, accurate and unconditionally stable schemes for the direct numerical integration of the linear, nonhomogeneous, second‐order equations of structural dynamics.
Dougalis, Vassilios A. +1 more
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2013 IEEE International Conference on Signal Processing, Communication and Computing (ICSPCC 2013), 2013
In this paper, an improved three-dimensional (3D) locally one-dimensional finite-difference time-domain (LOD-FDTD) method is presented. In the proposed method, the time step is divided into three sub-steps. Dispersion control parameters are inducted into X, Y and Z directions.
Min Su, Bo Yi, Pei-Guo Liu
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In this paper, an improved three-dimensional (3D) locally one-dimensional finite-difference time-domain (LOD-FDTD) method is presented. In the proposed method, the time step is divided into three sub-steps. Dispersion control parameters are inducted into X, Y and Z directions.
Min Su, Bo Yi, Pei-Guo Liu
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IEEE Transactions on Antennas and Propagation, 2016
In order to get low numerical dispersion in the desired directions, four-step locally one-dimensional finite-difference time-domain (LOD4-FDTD), five-step LOD-FDTD (LOD5-FDTD), and six-step LOD-FDTD (LOD6-FDTD) methods are developed here. These methods are derived from the three-step LOD-FDTD method, and each of their substeps has variation in either ...
Alok Kumar Saxena +1 more
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In order to get low numerical dispersion in the desired directions, four-step locally one-dimensional finite-difference time-domain (LOD4-FDTD), five-step LOD-FDTD (LOD5-FDTD), and six-step LOD-FDTD (LOD6-FDTD) methods are developed here. These methods are derived from the three-step LOD-FDTD method, and each of their substeps has variation in either ...
Alok Kumar Saxena +1 more
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Numerical analysis for high-order six-stages split-step unconditionally-stable FDTD methods
2012 International Conference on Microwave and Millimeter Wave Technology (ICMMT), 2012High-order six-stages split-step unconditionally-stable finite-difference time-domain (FDTD) methods are presented. Along the positive and negative of the x, y, and z coordinate directions, the Maxwell's matrix is split into six submatrices, and the time step is divided into six sub-steps. In addition, high-order central finite-difference operators are
Yong-Dan Kong, Qing-Xin Chu
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Microwave and Optical Technology Letters, 2014
ABSTRACTA compact fourth‐order six‐stages split‐step finite‐difference time‐domain method is developed, which is based on the compact fourth‐order scheme. The proposed method improves the efficiency of computation by reducing the bandwidth of the matrix to be inversed from seven to five for the fourth‐order scheme.
Yong‐Dan Kong +2 more
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ABSTRACTA compact fourth‐order six‐stages split‐step finite‐difference time‐domain method is developed, which is based on the compact fourth‐order scheme. The proposed method improves the efficiency of computation by reducing the bandwidth of the matrix to be inversed from seven to five for the fourth‐order scheme.
Yong‐Dan Kong +2 more
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IEEE Transactions on Antennas and Propagation, 2012
An one-step arbitrary-order leapfrog alternating-direction-implicit finite-difference time-domain (ADI-FDTD) method is presented. Its unconditional stability is analytically proven and numerically verified. Its numerical properties are shown to be identical to those of the conventional ADI-FDTD and LOD-FDTD methods.
Shun-Chuan Yang +3 more
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An one-step arbitrary-order leapfrog alternating-direction-implicit finite-difference time-domain (ADI-FDTD) method is presented. Its unconditional stability is analytically proven and numerically verified. Its numerical properties are shown to be identical to those of the conventional ADI-FDTD and LOD-FDTD methods.
Shun-Chuan Yang +3 more
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Nuclear Science and Engineering, 1982
Diffusion-synthetic acceleration methods that have been proven analytically to be stable for model discrete ordinates problems (for infinite media, with isotropic scattering, constant cross sections, and a uniform spatial mesh) are shown to be experimentally stable for realistic problems (for finite media, with anisotropic scattering, variable cross ...
Donald R. McCoy, Edward W. Larsen
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Diffusion-synthetic acceleration methods that have been proven analytically to be stable for model discrete ordinates problems (for infinite media, with isotropic scattering, constant cross sections, and a uniform spatial mesh) are shown to be experimentally stable for realistic problems (for finite media, with anisotropic scattering, variable cross ...
Donald R. McCoy, Edward W. Larsen
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Numerical Methods for Partial Differential Equations
AbstractWe develop two totally decoupled, linear and second‐order accurate numerical methods that are unconditionally energy stable for solving the Cahn–Hilliard–Darcy equations for two phase flows in porous media or in a Hele‐Shaw cell. The implicit‐explicit Crank–Nicolson leapfrog method is employed for the discretization of the Cahn–Hiliard equation
Yali Gao, Daozhi Han
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AbstractWe develop two totally decoupled, linear and second‐order accurate numerical methods that are unconditionally energy stable for solving the Cahn–Hilliard–Darcy equations for two phase flows in porous media or in a Hele‐Shaw cell. The implicit‐explicit Crank–Nicolson leapfrog method is employed for the discretization of the Cahn–Hiliard equation
Yali Gao, Daozhi Han
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2006
Developing a stable and efficient numerical method for solving the convective diffusion problems continues to be an active and challenging research area because of its importance in prediction of heat and mass transfer and fluid flow. Tests of the diverse methods of this area in the literature reveal that two types of problems appear quite frequently ...
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Developing a stable and efficient numerical method for solving the convective diffusion problems continues to be an active and challenging research area because of its importance in prediction of heat and mass transfer and fluid flow. Tests of the diverse methods of this area in the literature reveal that two types of problems appear quite frequently ...
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