Results 11 to 20 of about 25,445 (266)
Mathematics, 2020 This paper describes temporally second-order unconditionally stable direct methods for Allen–Cahn and conservative Allen–Cahn equations on surfaces. The discretization is performed via a surface mesh consisting of piecewise triangles and its dual-surface
Binhu Xia, Yibao Li, Zhong Li
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An unconditionally stable hybrid numerical method for solving the Allen–Cahn equation
Computers & Mathematics with Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yibao Li +3 more
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Numerical dispersion analysis of the unconditionally stable 3-D ADI-FDTD method [PDF]
IEEE Transactions on Microwave Theory and Techniques, 2001 This paper presents a comprehensive analysis of numerical dispersion of the recently developed unconditionally stable three-dimensional finite-difference time-domain (FDTD) method where the alternating-direction-implicit technique is applied. The dispersion relation is derived analytically and the effects of spatial and temporal steps on the numerical ...
F. Zheng, Z. Chen
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Efficient unconditionally stable one‐step leapfrog ADI‐FDTD method with low numerical dispersion
IET Microwaves, Antennas & Propagation, 2014 An efficient unconditionally stable one‐step leapfrog alternating‐direction‐implicit finite‐difference time‐domain (ADI‐FDTD) method based on the controlling parameters is presented. First, three controlling parameters are introduced to the matrices of the Maxwell's equations to decrease the numerical dispersion error, and then the formulation of an ...
Yong‐Dan Kong +2 more
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Optimal accuracy of unconditionally stable explicit numerical methods for nonlinear evolution PDE's
Applied Mathematics Letters, 1994 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Solving seismic wave propagation in elastic media using the matrix exponential approach [PDF]
, 2003 Three numerical algorithms are proposed to solve the time-dependent elastodynamic equations in elastic solids. All algorithms are based on approximating the solution of the equations, which can be written as a matrix exponential.
Kole, J. S.
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Removing the Stiffness of Elastic Force from the Immersed Boundary Method for the 2D Stokes Equations [PDF]
, 2008 The Immersed Boundary method has evolved into one of the most useful computational methods in studying fluid structure interaction. On the other hand, the Immersed Boundary method is also known to suffer from a severe timestep stability restriction when ...
Hou, Thomas Y., Shi, Zuoqiang
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An unconditionally stable numerical method for the viscous Cahn--Hilliard equation
Discrete and Continuous Dynamical Systems - B, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shin, Jaemin, Choi, Yongho, Kim, Junseok
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The Finite Difference Methods for φ4 Klein-Gordon Equation [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2008 We solved φ4 Klein-Gordon equation numerically by using two finite difference methods: The first is the explicit method and the second is the implicit (Crank-Nicholson) method.
Saad Manaa, Laya Hawell
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