Journal of Computational Science & Engineering

　

 　

　
　

　

 　

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    J. Comput. Sci. Eng.  Vol. 62 (2023) 1-29
　

A kind of nonsmooth Newton method for discrete stochastic absolute value equations
　
 　

Shengqun Niu

 　 　
J. Comput. Sci. Eng. 61(2023) 1-22—Published  30 November 2023 　 　
　

Abstract: In this paper, we propose a kind of stochastic absolute value equations. And a kind of nonsmooth Newton method is also proposed. Under mild assumption, the convergence analysis of the method is given. Finally, numerical results indicate the effeciency of the method.

 　 　
Keywords:stochastic absolute value equations; nonsmooth Newton method; convergence

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Existence for a class of evolutionary equations involving bilinear operators with applications

　
 　

Guangxuan Lin

 　 　
J. Comput. Sci. Eng. 61(2023) 23-29—Published  30 December 2023 　 　
　

Abstract: In the paper we establish the existence of solutions to a class of evolutionary equations involving bilinear operators by Rothe's method. Our result is applied to the Navier-Stokes-Voigt equations.

 　 　
Keywords:Bilinear evolutionary equation; Rothe's method; Existence

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