As an important aspect of applications, it is discussed how to find periodic solutions for ordinary differential equations. By using the homotopy method, a global method for finding those solutions is proposed.
This paper presents form finding and collapse analysis of cable net structure under strong wind using the finite particle method(FPM).As a kind of particle method,the theoretical fundamentals of the FPM are given.Meth...This paper presents form finding and collapse analysis of cable net structure under strong wind using the finite particle method(FPM).As a kind of particle method,the theoretical fundamentals of the FPM are given.Methods to handle geometric and material nonlinearities of cable element are proposed.The fracture criterion and model for cable element are built to simulate the failure of cable nets.The form-finding and load analysis of two cable nets are then performed in order to initialize the successive of nonlinear analysis.The failure progress of cable nets under dynamic loads is simulated,and the dynamic responses of the typical fracture element are given in details.Analyses of the energy variations during the collapse process also show the failure mechanisms of cable nets,which is useful for the structure collapse resistance design.The numerical applications highlight the capability of the proposed procedure to solve complicate collapse problems with the FPM.展开更多
In this secondary research, published works on effect of climate change on water resources in other countries and in Australia were reviewed critically. Research question, objectives and assumptions were made to facil...In this secondary research, published works on effect of climate change on water resources in other countries and in Australia were reviewed critically. Research question, objectives and assumptions were made to facilitate this study. First, methods used for such studies and their results at global level were reviewed. Then Australian specific methods of study and findings were reviewed. More commonly, both globally and in Australia, simulations using long-term real data on selected climatic scenarios of global climatic models are projected for long-term future trends. The validity and certainty of predicted occurrences depend upon the closeness of real time data with scenarios to which they are projected. Even with these limitations, projections of already rising temperatures and declining rainfall on surface water and ground water availabilities show gradual decline in water availability leading to water stress both for human communities and ecosystems The role of human-induced emissions in hastening the degradation process has also been investigated. Conserving all available water, practising efficient water consumption and prudent water policies only can provide some relief from what is inevitable.展开更多
In this paper the method of reciprocal theorem is extended to find solutions of three-D problems of elasticity.First we give the basic solution of the cube with six surfaces fixed as the basic system and then using th...In this paper the method of reciprocal theorem is extended to find solutions of three-D problems of elasticity.First we give the basic solution of the cube with six surfaces fixed as the basic system and then using the reciprocal theorem between the basic system acted on by unit concentrated loads and the actual system with prescribed surface displacements, we find displacement solution of the actual system.展开更多
For bistatic multiple-input multiple-output(MIMO)radar,this paper presents a robust and direction finding method in strong impulse noise environment.By means of a new lower order covariance,the method is effective in ...For bistatic multiple-input multiple-output(MIMO)radar,this paper presents a robust and direction finding method in strong impulse noise environment.By means of a new lower order covariance,the method is effective in suppressing impulse noise and achieving superior direction finding performance using the maximum likelihood(ML)estimation method.A quantum equilibrium optimizer algorithm(QEOA)is devised to resolve the corresponding objective function for efficient and accurate direc-tion finding.The results of simulation reveal the capability of the presented method in success rate and root mean square error over existing direction-finding methods in different application situations,e.g.,locating coherent signal sources with very few snapshots in strong impulse noise.Other than that,the Cramér-Rao bound(CRB)under impulse noise environment has been drawn to test the capability of the presented method.展开更多
This paper deals with the problems of finding periodic solutions for the third order ordinary differential equations of the form (1) where T is a fixed positive number and f satisfies some additional conditions which ...This paper deals with the problems of finding periodic solutions for the third order ordinary differential equations of the form (1) where T is a fixed positive number and f satisfies some additional conditions which will be stated later.The periodicity problem has been one of main topics in the qualitative theory of ordinary展开更多
This paper gives a new iterative method to solve the non-linear equation. We prove that this method has the asymptotic convergent order. When the iterative times exceed 2,only one evaluation of the function and one of...This paper gives a new iterative method to solve the non-linear equation. We prove that this method has the asymptotic convergent order. When the iterative times exceed 2,only one evaluation of the function and one of its first derivative is required by each iteration of the method.Therefore the new method is better than Newton＇s method.展开更多
In this paper, we derive two higher order multipoint methods for solving nonlinear equations. The methodology is based on Ostrowski’s method and further developed by using cubic interpolation process. The adaptation ...In this paper, we derive two higher order multipoint methods for solving nonlinear equations. The methodology is based on Ostrowski’s method and further developed by using cubic interpolation process. The adaptation of this strategy increases the order of Ostrowski’s method from four to eight and its efficiency index from 1.587 to 1.682. The methods are compared with closest competitors in a series of numerical examples. Moreover, theoretical order of convergence is verified on the examples.展开更多
In a recent paper, Noor and Khan [M. Aslam Noor, & W. A. Khan, (2012) New Iterative Methods for Solving Nonlinear Equation by Using Homotopy Perturbation Method, Applied Mathematics and Computation, 219, 3565-3574...In a recent paper, Noor and Khan [M. Aslam Noor, & W. A. Khan, (2012) New Iterative Methods for Solving Nonlinear Equation by Using Homotopy Perturbation Method, Applied Mathematics and Computation, 219, 3565-3574], suggested a fourth-order method for solving nonlinear equations. Per iteration in this method requires two evaluations of the function and two of its first derivatives;therefore, the efficiency index is 1.41421 as Newton’s method. In this paper, we modified this method and obtained a family of iterative methods for appropriate and suitable choice of the parameter. It should be noted that per iteration for the new methods requires two evaluations of the function and one evaluation of its first derivatives, so its efficiency index equals to 1.5874. Analysis of convergence shows that the methods are fourth-order. Several numerical examples are given to illustrate the performance of the presented methods.展开更多
目的:系统评价脑卒中病人照顾者获益感的影响因素。方法:采用混合方法研究系统评价设计,计算机检索PubMed、Web of Science、CINAHL、the Cochrane Library、Embase、中国生物医学文献数据库、中国知网、维普和万方等数据库获取脑卒中...目的:系统评价脑卒中病人照顾者获益感的影响因素。方法:采用混合方法研究系统评价设计,计算机检索PubMed、Web of Science、CINAHL、the Cochrane Library、Embase、中国生物医学文献数据库、中国知网、维普和万方等数据库获取脑卒中病人照顾者获益感的相关研究,对纳入文献采用聚敛整合方法进行分析。结果:共纳入17篇文献(5篇定性研究、12篇定量研究),涉及2858名脑卒中照顾者,整合可能影响脑卒中病人照顾者获益感的相关因素,主要包括病人相关因素、照顾者相关因素、家庭功能因素和社会资源因素4个主题。结论:脑卒中病人照顾者获益感与多方面因素相关,医护工作者应挖掘照顾者在照护病人过程中的获益感,探讨各个因素的影响机制,以期制订更具针对性的干预措施,进而提高病人照护质量。展开更多
文摘As an important aspect of applications, it is discussed how to find periodic solutions for ordinary differential equations. By using the homotopy method, a global method for finding those solutions is proposed.
基金The authors gratefully acknowledge the financial supports provided by the National Key R&D Program of China(2017YFC0806100)Natural Science Foundation of Guangdong,China(2018A030307030)+2 种基金Shantou Science and Technology Program,China(2016-37)Zhejiang provincial transportation department science and technology project(2018-04)Zhejiang provincial highway administration project(2017-08).
文摘This paper presents form finding and collapse analysis of cable net structure under strong wind using the finite particle method(FPM).As a kind of particle method,the theoretical fundamentals of the FPM are given.Methods to handle geometric and material nonlinearities of cable element are proposed.The fracture criterion and model for cable element are built to simulate the failure of cable nets.The form-finding and load analysis of two cable nets are then performed in order to initialize the successive of nonlinear analysis.The failure progress of cable nets under dynamic loads is simulated,and the dynamic responses of the typical fracture element are given in details.Analyses of the energy variations during the collapse process also show the failure mechanisms of cable nets,which is useful for the structure collapse resistance design.The numerical applications highlight the capability of the proposed procedure to solve complicate collapse problems with the FPM.
文摘In this secondary research, published works on effect of climate change on water resources in other countries and in Australia were reviewed critically. Research question, objectives and assumptions were made to facilitate this study. First, methods used for such studies and their results at global level were reviewed. Then Australian specific methods of study and findings were reviewed. More commonly, both globally and in Australia, simulations using long-term real data on selected climatic scenarios of global climatic models are projected for long-term future trends. The validity and certainty of predicted occurrences depend upon the closeness of real time data with scenarios to which they are projected. Even with these limitations, projections of already rising temperatures and declining rainfall on surface water and ground water availabilities show gradual decline in water availability leading to water stress both for human communities and ecosystems The role of human-induced emissions in hastening the degradation process has also been investigated. Conserving all available water, practising efficient water consumption and prudent water policies only can provide some relief from what is inevitable.
文摘In this paper the method of reciprocal theorem is extended to find solutions of three-D problems of elasticity.First we give the basic solution of the cube with six surfaces fixed as the basic system and then using the reciprocal theorem between the basic system acted on by unit concentrated loads and the actual system with prescribed surface displacements, we find displacement solution of the actual system.
基金This work was supported by the National Natural Science Foundation of China(62073093)the Postdoctoral Scientific Research Developmental Fund of Heilongjiang Province(LBH-Q19098)+1 种基金the Heilongjiang Provincial Natural Science Foundation of China(LH2020F017)the Key Laboratory of Advanced Marine Communication and Information Technology,Ministry of Industry and Information Technology.
文摘For bistatic multiple-input multiple-output(MIMO)radar,this paper presents a robust and direction finding method in strong impulse noise environment.By means of a new lower order covariance,the method is effective in suppressing impulse noise and achieving superior direction finding performance using the maximum likelihood(ML)estimation method.A quantum equilibrium optimizer algorithm(QEOA)is devised to resolve the corresponding objective function for efficient and accurate direc-tion finding.The results of simulation reveal the capability of the presented method in success rate and root mean square error over existing direction-finding methods in different application situations,e.g.,locating coherent signal sources with very few snapshots in strong impulse noise.Other than that,the Cramér-Rao bound(CRB)under impulse noise environment has been drawn to test the capability of the presented method.
文摘This paper deals with the problems of finding periodic solutions for the third order ordinary differential equations of the form (1) where T is a fixed positive number and f satisfies some additional conditions which will be stated later.The periodicity problem has been one of main topics in the qualitative theory of ordinary
基金Supported by the National Natural Science Foundation of China (10826082)the Key Disciplines Project of Shanghai Municipality (S30104)the Shanghai Leading Academic Discipline Project (J50101)
文摘This paper gives a new iterative method to solve the non-linear equation. We prove that this method has the asymptotic convergent order. When the iterative times exceed 2,only one evaluation of the function and one of its first derivative is required by each iteration of the method.Therefore the new method is better than Newton＇s method.
文摘In this paper, we derive two higher order multipoint methods for solving nonlinear equations. The methodology is based on Ostrowski’s method and further developed by using cubic interpolation process. The adaptation of this strategy increases the order of Ostrowski’s method from four to eight and its efficiency index from 1.587 to 1.682. The methods are compared with closest competitors in a series of numerical examples. Moreover, theoretical order of convergence is verified on the examples.
文摘In a recent paper, Noor and Khan [M. Aslam Noor, & W. A. Khan, (2012) New Iterative Methods for Solving Nonlinear Equation by Using Homotopy Perturbation Method, Applied Mathematics and Computation, 219, 3565-3574], suggested a fourth-order method for solving nonlinear equations. Per iteration in this method requires two evaluations of the function and two of its first derivatives;therefore, the efficiency index is 1.41421 as Newton’s method. In this paper, we modified this method and obtained a family of iterative methods for appropriate and suitable choice of the parameter. It should be noted that per iteration for the new methods requires two evaluations of the function and one evaluation of its first derivatives, so its efficiency index equals to 1.5874. Analysis of convergence shows that the methods are fourth-order. Several numerical examples are given to illustrate the performance of the presented methods.
文摘目的:系统评价脑卒中病人照顾者获益感的影响因素。方法:采用混合方法研究系统评价设计,计算机检索PubMed、Web of Science、CINAHL、the Cochrane Library、Embase、中国生物医学文献数据库、中国知网、维普和万方等数据库获取脑卒中病人照顾者获益感的相关研究,对纳入文献采用聚敛整合方法进行分析。结果:共纳入17篇文献(5篇定性研究、12篇定量研究),涉及2858名脑卒中照顾者,整合可能影响脑卒中病人照顾者获益感的相关因素,主要包括病人相关因素、照顾者相关因素、家庭功能因素和社会资源因素4个主题。结论:脑卒中病人照顾者获益感与多方面因素相关,医护工作者应挖掘照顾者在照护病人过程中的获益感,探讨各个因素的影响机制,以期制订更具针对性的干预措施,进而提高病人照护质量。
