Results 21 to 30 of about 66,549 (281)
Mathematics, 2022 To solve the L2-gradient flow-based phase-field crystal equation accurately and efficiently, we present a linear, second-order, and unconditionally energy-stable method. We first truncate the quartic function in the Swift–Hohenberg energy functional.
Hyun Geun Lee
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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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Semi-Lagrangian discontinuous Galerkin schemes for some first and second-order partial differential equations [PDF]
, 2015 Explicit, unconditionally stable, high-order schemes for the approximation of some first- andsecond-order linear, time-dependent partial differential equations (PDEs) are proposed.The schemes are based on a weak formulation of a semi-Lagrangian scheme ...
Bokanowski, Olivier +1 more
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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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Unconditionally stable integration of Maxwell’s equations
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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Buildings, 2023 Most thermal researchers have solved thermal conduction problems (inverse or direct) using several different methods. These include the usual discretization methods, conventional and special estimation methods, in addition to simple synchronous gradient ...
Rachid Djeffal +4 more
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2D Efficient Unconditionally Stable Meshless FDTD Algorithm
International Journal of Antennas and Propagation, 2016 This paper presents an efficient weighted Laguerre polynomials based meshless finite-difference time domain (WLP-MFDTD). By decomposing the coefficients of the system matrix and adding a perturbation term, a factorization-splitting scheme is introduced ...
Kang Luo +4 more
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A Compact Unconditionally Stable Method for Time-Domain Maxwell's Equations
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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Advances in Difference Equations, 2020 The aim of this work is to develop a novel explicit unconditionally positivity preserving finite difference (FD) scheme and an implicit positive FD scheme for the numerical solution of dengue epidemic reaction–diffusion model with incubation period of ...
Nauman Ahmed +4 more
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IEEE Access, 2021 By incorporating higher order formulation with perfectly matched layer (PML) implementation, unconditionally stable computationally efficient locally one-dimensional (LOD) algorithm with improved absorption is proposed for simulating ground penetrating ...
Peiyu Wu +4 more
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