HIGH-ORDER UNCONDITIONALLY-STABLE FOUR-STEP ADI-FDTD METHODS AND NUMERICAL ANALYSIS [PDF]
Progress In Electromagnetics Research, 2013 High-order unconditionally-stable three-dimensional (3-D) four-step alternating direction implicit flnite-difierence time-domain (ADI-FDTD) methods are presented. Based on the exponential evolution operator (EEO), the Maxwell's equations in a matrix form can be split into four sub-procedures.
Yong-Dan Kong, Qing-Xin Chu, Rong-Lin Li
semanticscholar +5 more sources
Unconditionally stable methods for gradient flow using Convex Splitting Runge–Kutta scheme [PDF]
Journal of Computational Physics, 2017 We propose a Convex Splitting Runge–Kutta (CSRK) scheme which provides a simple unified framework to solve a gradient flow in an unconditionally gradient stable manner.
이준엽
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Unconditionally stable method and numerical solution of the hyperbolic phase-field crystal equation
Physical Review E, 2013 The phase-field crystal model (PFC model) resolves systems on atomic length scales and diffusive time scales and lies in between standard phase-field modeling and atomistic methods. More recently a hyperbolic or modified PFC model was introduced to describe fast (propagative) and slow (diffusive) dynamics. We present a finite-element method for solving
P. K. Galenko +3 more
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Second order, unconditionally stable, linear ensemble algorithms for the magnetohydrodynamics equations [PDF]
Journal of Scientific Computing, 2022 We propose two unconditionally stable, linear ensemble algorithms with pre-computable shared coefficient matrices across different realizations for the magnetohydrodynamics equations.
Jiang, Nan, Carter, John, Han, Daozhi
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Energy stable numerical methods for porous media flow type problems [PDF]
, 2018 International audienceMany problems arising in the context of multiphase porous media flows that take the form of degenerate parabolic equations have a dissipative structure, so that the energy of an isolated system is decreasing along time.
Cancès Clément +2 more
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An unconditionally stable nonstandard finite difference method to solve a mathematical model describing Visceral Leishmaniasis [PDF]
Mathematics and Computers in Simulation, 2021 In this paper, a mathematical model of Visceral Leishmaniasis is considered. The model incorporates three populations, the human, the reservoir and the vector host populations. A detailed analysis of the model is presented. This analysis reveals that the
Adamu, E.M +2 more
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Developing Higher-Order Unconditionally Positive Finite Difference Methods for the Advection Diffusion Reaction Equations [PDF]
AxiomsThis study introduces the higher-order unconditionally positive finite difference (HUPFD) methods to solve the linear, nonlinear, and system of advection–diffusion–reaction (ADR) equations.
Ndivhuwo Ndou +2 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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Unconditionally stable difference methods for delay partial differential equations [PDF]
Numerische Mathematik, 2012 This paper is concerned with the numerical solution of parabolic partial differential equations with time-delay. We focus in particular on the delay dependent stability analysis of difference methods that use a non-constrained mesh, i.e., the time step ...
Vandewalle, Stefan, Huang, Chengming
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Unconditionally stable space–time isogeometric discretization for the wave equation in Hamiltonian formulation [PDF]
ESAIM: Mathematical Modelling and Numerical AnalysisWe consider a family of conforming space–time discretizations for the wave equation based on a first-order-in-time formulation employing maximal regularity splines.
Gabriele Loli +3 more
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