Results 11 to 20 of about 5,776 (296)
A Compact Unconditionally Stable Method for Time-Domain Maxwell's Equations [PDF]
International Journal of Antennas and Propagation, 2013 Higher order unconditionally stable methods are effective ways for simulating field behaviors of electromagnetic problems since they are free of Courant-Friedrich-Levy conditions. The development of accurate schemes with less computational expenditure is
Zhuo Su, Yongqin Yang, Yunliang Long
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Unconditionally stable integration of Maxwell’s equations [PDF]
Linear Algebra and its Applications, 2009 This paper discusses unconditionally stable integration for a general semi-discrete Maxwell system on space grids that exclude the alternating direction implicit (ADI) approach, and addresses the question whether fully implicit and exponential time integration, eliminating any temporal step-size stability restriction, can be feasible and efficient? For
Verwer, J.G., Botchev, M.A.
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Second-Order Unconditionally Stable Direct Methods for Allen–Cahn and Conservative Allen–Cahn Equations on Surfaces [PDF]
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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Unconditionally stable schemes for higher order inpainting [PDF]
Communications in Mathematical Sciences, 2011 Higher order equations, when applied to image inpainting, have certain advantages over second order equations, such as continuation of both edge and intensity information over larger distances. Discretizing a fourth order evolution equation with a brute force method may restrict the time steps to a size up to orderx 4 wherex denotes the step size of ...
Schoenlieb, Carola-Bibiane +1 more
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Two-Step Unconditionally Stable Noniterative Dissipative Displacement Method for Analysis of Nonlinear Structural Dynamics Problems [PDF]
Shock and Vibration, 2021 When solving structural dynamic problems, the displacement algorithm needs only calculating and storing structure’s displacements in the main calculation process, which makes the displacement algorithm have advantages over multivariable algorithms in ...
Changqing Li +4 more
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Theory and Implementation of a Two-Step Unconditionally Stable Explicit Integration Algorithm for Vibration Analysis of Structures [PDF]
Shock and Vibration, 2016 Time history analysis is becoming the routine process to quantify the response of the structure under dynamic loads. In this paper, a novel two-step unconditionally stable explicit integration algorithm, named Unconditional Stable Two-Step Explicit ...
Li Changqing +3 more
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An unconditionally stable numerical scheme for solving nonlinear Fisher equation [PDF]
Nonlinear EngineeringIn this study, novel numerical methods are presented for solving nonlinear Fisher equations. These equations have a wide range of applications in various scientific and engineering fields, particularly in the biomedical sciences for determining the size ...
Vimal Vikash +2 more
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Solving the time-dependent Maxwell equations by unconditionally stable algorithms [PDF]
, 2003 We present a family of unconditionally stable algorithms, based on the Suzuki product-formula approach, that solve the time-dependent Maxwell equations in systems with spatially varying permittivity and permeability.
Raedt, H. De, Figge, M.T., Kole, J.S.
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Advances in Difference Equations, 2021 In this article, we consider a temporally second-order unconditionally energy stable computational method for the Allen–Cahn (AC) equation with a high-order polynomial free energy potential.
Junseok Kim, Hyun Geun Lee
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New Unconditionally Stable Schemes for the Navier-Stokes Equations [PDF]
Communications in Computational Physics, 2021 Summary: In this paper we propose some efficient schemes for the Navier-Stokes equations. The proposed schemes are constructed based on an auxiliary variable reformulation of the underlying equations, recently introduced by \textit{X. L. Li} et al. [``New SAV-pressure correction methods for the Navier-Stokes equations: stability and error analysis ...
Yao, Hui, Azaiez, Mejdi, Xu, Chuanju
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