Strongly disordered chain of impedances: theoretical analysis and numerical results

1990 ◽  
Vol 23 (7) ◽  
pp. 1085-1100 ◽  
Author(s):  
J P Hulin ◽  
J P Bouchaud ◽  
A Georges
Keyword(s):  
Theoretical Analysis ◽  
Numerical Results ◽  
Disordered Chain

scholarly journals Numerical methods for solving the multi-term time-fractional wave-diffusion equation

2013 ◽  
Vol 16 (1) ◽  
Author(s):  
Fawang Liu ◽  
Mark Meerschaert ◽  
Robert McGough ◽  
Pinghui Zhuang ◽  
Qingxia Liu
Keyword(s):  
Numerical Methods ◽  
Theoretical Analysis ◽  
Diffusion Equation ◽  
Fractional Derivatives ◽  
Fractional Laplacian ◽  
Numerical Results ◽  
Diffusion Equations ◽  
Time Space ◽  
Methods And Techniques ◽  
Wave Diffusion

AbstractIn this paper, the multi-term time-fractional wave-diffusion equations are considered. The multi-term time fractional derivatives are defined in the Caputo sense, whose orders belong to the intervals [0,1], [1,2), [0,2), [0,3), [2,3) and [2,4), respectively. Some computationally effective numerical methods are proposed for simulating the multi-term time-fractional wave-diffusion equations. The numerical results demonstrate the effectiveness of theoretical analysis. These methods and techniques can also be extended to other kinds of the multi-term fractional time-space models with fractional Laplacian.

Modulus-based Synchronous Multisplitting Iteration Methods for an Implicit Complementarity Problem

2017 ◽  
Vol 7 (2) ◽  
pp. 363-375 ◽  
Author(s):  
Chen-Liang Li ◽  
Jun-Tao Hong
Keyword(s):  
Theoretical Analysis ◽  
Complementarity Problem ◽  
Numerical Results ◽  
Multiprocessor Systems ◽  
Implicit Complementarity Problem ◽  
New Methods ◽  
Iteration Methods

AbstractWe construct modulus-based synchronous multisplitting iteration methods to solve a large implicit complementarity problem on parallel multiprocessor systems, and prove their convergence. Numerical results confirm our theoretical analysis and show that these new methods are efficient.

Contact Pressure Between an Elastic Spherical Shell and a Rigid Plate

1972 ◽  
Vol 39 (4) ◽  
pp. 1110-1114 ◽  
Author(s):  
D. P. Updike ◽  
A. Kalnins
Keyword(s):  
Intraocular Pressure ◽  
Theoretical Analysis ◽  
Spherical Shell ◽  
Contact Pressure ◽  
Applanation Tonometry ◽  
Numerical Results ◽  
Thickness Ratio ◽  
Rigid Plate ◽  
Elastic Spherical Shell

A theoretical analysis for the determination of the contact pressure between a uniform elastic spherical shell and a rigid plate is developed. The results are directly applicable to the theory of applanation tonometry which is concerned with the measurement of intraocular pressure. Numerical results are presented for a shell having a radius to thickness ratio of 30.

Distributed Event-Triggered Quantizer in Multi-Agent Systems

2014 ◽  
Vol 136 (4) ◽  
Author(s):  
Huaqiang Zhang ◽  
Yu Ren ◽  
Xinsheng Wang
Keyword(s):  
Theoretical Analysis ◽  
Control Strategy ◽  
Numerical Results ◽  
Control Input ◽  
Consensus Problem ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Consensus Strategy ◽  
Multi Agent ◽  
Event Triggered

This paper investigates a kind of consensus problem in multi-agent systems, revises an existing control input for consensus by dynamic quantizers, and also gives a visible distributed event-triggered rule to update the parameters for dynamic quantizers. In other words, distributed event-triggered dynamic quantizers are firstly proposed and employed when designing a consensus strategy for multi-agent systems by this paper. Meanwhile, the overall steps of the control strategy are included. The numerical results come to agreement with the theoretical analysis, and shows that the proposed strategy can get faster convergence speed in comparison with an existing one.

PERMANENCE FOR THE LOTKA–VOLTERRA COOPERATIVE SYSTEM WITH SEVERAL DELAYS

2009 ◽  
Vol 02 (03) ◽  
pp. 267-285 ◽  
Author(s):  
YUKIHIKO NAKATA
Keyword(s):  
Theoretical Analysis ◽  
Time Delays ◽  
Interspecific Interactions ◽  
Cooperative Systems ◽  
Numerical Results ◽  
Sufficient Condition ◽  
Cooperative System ◽  
Nonlinear Anal ◽  
Discrete Delays ◽  
Several Delays

In this paper, we establish a new sufficient condition of the permanence for the Lotka–Volterra cooperative systems with multiple discrete delays by extending the results in [Nakata and Muroya, Permanence for nonautonomous Lotka–Volterra cooperative systems with delays, Nonlinear Anal. RWA., in press]. Our condition holds even if the instantaneous feedback does not dominate over the total of the interspecific interactions and does not need the restriction on the size of time delays, different from the results in [Lu and Lu, Permanence for two-species Lotka–Volterra cooperative systems with delays, Math. Biosci. Eng.5 (2008) 477–484]. We offer an example for comparison with the previous results and numerical results supporting our theoretical analysis are given.

scholarly journals A Modified Gradient Based Algorithm for Solving Matrix EquationsAXB+CXTD=F

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Kanmin Wang ◽  
Zhibing Liu ◽  
Chengfeng Xu
Keyword(s):  
Approximate Solution ◽  
Theoretical Analysis ◽  
Numerical Results ◽  
New Method ◽  
Matrix Equations ◽  
Gradient Based

In this paper, we develop a modified gradient based algorithm for solving matrix equationsAXB+CXTD=F. Different from the gradient based method introduced by Xie et al., 2010, the information generated in the first half-iterative step is fully exploited and used to construct the approximate solution. Theoretical analysis shows that the new method converges under certain assumptions. Numerical results are given to verify the efficiency of the new method.

scholarly journals MIXED PSEUDOSPECTRAL METHOD FOR HEAT TRANSFER

2016 ◽  
Vol 21 (2) ◽  
pp. 199-219 ◽  
Author(s):  
Tian-Jun Wang ◽  
Tao Sun
Keyword(s):  
Heat Transfer ◽  
Theoretical Analysis ◽  
Boundary Conditions ◽  
Pseudospectral Method ◽  
Numerical Results ◽  
Infinite Strip ◽  
New Approach ◽  
Legendre Pseudospectral Method ◽  
Pseudospectral Scheme

In this paper, we propose a mixed generalized Laguerre-Legendre pseudospectral method for non-isotropic heat transfer with inhomogeneous boundary conditions on an infinite strip. Some properties about the mixed generalized LaguerreLegendre approximation are established. By reformulating the equation with suitable functional transform defined on an infinite strip, a mixed Laguerre-Legendre pseudospectral scheme is constructed. Its convergence is proved. Numerical results are presented to demonstrate the efficiency of this new approach and to validate our theoretical analysis.

scholarly journals Collaborative Signal Multiple Access: A Robust Alternative to NOMA Using SIC

2021 ◽  
Author(s):  
Indu Shakya ◽  
Falah Ali
Keyword(s):  
Wireless Communications ◽  
Theoretical Analysis ◽  
Multiple Access ◽  
Numerical Results ◽  
Detection Technique ◽  
Access Scheme ◽  
User Interference

<p>This paper proposed a novel non-orthogonal multiple access scheme called CSMA that addresses some of critical shortcomings of NOMA that are the stumbling blocks for it to be considered an enabling technique for enhancing the capacity of 5G and 6G wireless communications. We provide some radical insights into the design of signals and detection technique for overcoming multi-user interference that makes it implementable in practice. We provide a sound theoretical analysis of its performance and validate the significance of numerical results.</p>

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