Results 91 to 100 of about 570 (101)
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Quasi-Newton Waveform Relaxation Based on Energy Method

Journal of Computational Mathematics, 2018
A quasi-Newton waveform relaxation (WR) algorithm for semi-linear reaction-diffusion equations is presented at first in this paper. Using the idea of energy estimate, a general proof method for convergence of the continuous case and the discrete case of ...
Yao Miao
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Numerical Solutions of Nonautonomous Stochastic Delay Differential Equations by Discontinuous Galerkin Methods

Journal of Computational Mathematics, 2019
This paper considers a class of discontinuous Galerkin method, which is constructed by Wong-Zakai approximation with the orthonormal Fourier basis, for numerically solving nonautonomous Stratonovich stochastic delay differential equations.
Xin Xiao
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Convergence and Stability Analysis of Exponential General Linear Methods for Delay Differential Equations

Numerical Mathematics: Theory, Methods and Applications, 2018
In this paper, we study the convergence and stability properties of explicit exponential general linear methods for delay differential equations. We prove that, under some assumptions, for delay differential equations in Banach spaces, these numerical ...
Jing-jun Zhao
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Dissipativity of θ-Methods for Nonlinear Delay Differential Equations

Numerical Mathematics: Theory, Methods and Applications, 2018
This paper concerns dissipativity of one-leg θ -methods and linear θ -methods for nonlinear delay differential equations (DDEs). Firstly, we obtain the absorbing set generated by the numerical methods and then prove that the methods can inherit the ...
Siqin Yao
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A Numerical Method for the Time Fractional Model of Generalised Second Grade Fluid Through Porous Media

East Asian Journal on Applied Mathematics, 2018
A numerical method for the generalised second grade fluid through porous media with anomalous diffusion is considered. The method is based on a combination of finite differences in time and a spectral method in space directions.
M. H. Lin
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