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AN ITERATIVE PROCEDURE FOR DOMAIN DECOMPOSITION METHOD OF SECOND ORDER ELLIPTIC PROBLEM WITH MIXED BOUNDARY CONDITIONS 被引量:1
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作者 Lie-heng Wang (State Key Laboratory of Scientific and Engineering Computing, ICMSEC, Chinese Academy of Sciences, Beijing, China) 《Journal of Computational Mathematics》 SCIE CSCD 1997年第4期319-326,共8页
This paper is devoted to study of an iterative procedure for domain decomposition method of second order elliptic problem with mixed boundary conditions (i.e., Dirichlet condition on a part of boundary and Neumann con... This paper is devoted to study of an iterative procedure for domain decomposition method of second order elliptic problem with mixed boundary conditions (i.e., Dirichlet condition on a part of boundary and Neumann condition on the another part of boundary). For the pure Dirichlet problem, Marini and Quarteroni [3], [4] considered a similar approach, which is extended to more complex problem in this paper. 展开更多
关键词 EH MATH AN iterative PROCEDURE FOR DOMAIN DECOMPOSITION METHOD OF SECOND order ELLIPTIC PROBLEM WITH MIXED BOUNDARY CONDITIONS
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SECTORIAL OSCILLATION THEORY OF LINEAR DIFFERENTIAL EQUATIONS
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作者 吴昭君 陈裕先 《Acta Mathematica Scientia》 SCIE CSCD 2013年第4期1177-1186,共10页
In this paper, the sectorial oscillation of the solutions of higher order homo- geneous linear differential equationswith infinite order entire function coefficients is studied. Results are obtained to extend some res... In this paper, the sectorial oscillation of the solutions of higher order homo- geneous linear differential equationswith infinite order entire function coefficients is studied. Results are obtained to extend some results in [19] and [18]. 展开更多
关键词 radial exponent of convergence iterated order sectorial oscillation Boreldirection
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Distributed Solving Linear Algebraic Equations with Switched Fractional Order Dynamics
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作者 YU Wenqiang CHENG Songsong HE Shuping 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2023年第2期613-631,共19页
This paper proposes a novel distributed optimization algorithm with fractional order dynamics to solve linear algebraic equations.Firstly,the authors proposed“Consensus+Projection”flow with fractional order dynamics... This paper proposes a novel distributed optimization algorithm with fractional order dynamics to solve linear algebraic equations.Firstly,the authors proposed“Consensus+Projection”flow with fractional order dynamics,which has more design freedom and the potential to obtain a better convergent performance than that of conventional first order algorithms.Moreover,the authors prove that the proposed algorithm is convergent under certain iteration order and step-size.Furthermore,the authors develop iteration order switching scheme with initial condition design to improve the convergence performance of the proposed algorithm.Finally,the authors illustrate the effectiveness of the proposed method with several numerical examples. 展开更多
关键词 Distributed optimization fractional order dynamics initial condition iteration order linear equations
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Fractional Order Iteration for Gradient Descent Method Based on Event-Triggered Mechanism
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作者 LU Jiajie WANG Yong FAN Yuan 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2023年第5期1927-1948,共22页
In this work,a novel gradient descent method based on event-triggered strategy has been proposed,which involves integer and fractional order iteration.Firstly,the convergence of integer order iterative optimization me... In this work,a novel gradient descent method based on event-triggered strategy has been proposed,which involves integer and fractional order iteration.Firstly,the convergence of integer order iterative optimization method and the stability of its associated system with integrator dynamics are linked.Based on this result,a fractional order iteration approach has been developed by modelling the system with fractional order dynamics.Secondly,to reduce the comsumption of computation,a feedback based event-triggered mechanism has been introduced to the gradient descent method.The convergence of this new event-triggered optimization algorithm is guaranteed by using a Lyapunov method,and Zeno behavior is proved to be avoided simultaneously.Lastly,the effectiveness and advantages of the proposed algorithms are verified by numerical simulations. 展开更多
关键词 Event-triggered mechanism fractional order iteration gradient descent Zeno behavior
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ON THE COMPLEX OSCILLATION OF HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS WITH MEROMORPHIC COEFFICIENTS 被引量:1
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作者 Tingbin CAO Hongxun YI 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2007年第1期135-148,共14页
In this paper, we investigate the complex oscillation of higher order homogenous and non- homogeneous linear differential equations with meromorphic coefficients of iterated order, and obtain some results which improv... In this paper, we investigate the complex oscillation of higher order homogenous and non- homogeneous linear differential equations with meromorphic coefficients of iterated order, and obtain some results which improve and extend those given by Z. X. Chen, L. Kinnunen, etc. 展开更多
关键词 EXPONENT iterated convergence iterated order linear differential equation meromorphic function.
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ON THE ITERATED ORDER OF MEROMORPHIC SOLUTIONS OF HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS 被引量:3
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作者 CaoTingbin ChenZongxuan +1 位作者 ZhengXiumin TuJin 《Annals of Differential Equations》 2005年第2期111-122,共12页
In this paper, we investigate complex homogeneous and non-homogeneous higher order linear differential equations with meromorphic coefficients. We obtain several results concerning the iterated order of meromorphic so... In this paper, we investigate complex homogeneous and non-homogeneous higher order linear differential equations with meromorphic coefficients. We obtain several results concerning the iterated order of meromorphic solutions, and the iterated convergence exponent of the zeros of meromorphic solutions. 展开更多
关键词 linear differential equation meromorphic function iterated order iterated convergence exponent
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