发布求助
文献互助 智能选刊 最新文献

Journal of Applied Mathematics最新文献

筛选
英文 中文
Splitting Matching Pursuit Method for Reconstructing Sparse Signal in Compressed Sensing 压缩感知中稀疏信号重构的分割匹配追踪方法
Journal of Applied Mathematics Pub Date : 2013-05-12 DOI: 10.1155/2013/804640
L. Jing, Chong-Zhao Han, Xianghua Yao, Lian Feng
{"title":"Splitting Matching Pursuit Method for Reconstructing Sparse Signal in Compressed Sensing","authors":"L. Jing, Chong-Zhao Han, Xianghua Yao, Lian Feng","doi":"10.1155/2013/804640","DOIUrl":"https://doi.org/10.1155/2013/804640","url":null,"abstract":"In this paper, a novel method named as splitting matching pursuit (SMP) is proposed to reconstruct -sparse \u0000signal in compressed sensing. The proposed method selects largest components of the correlation \u0000vector , which are divided into split sets with equal length . The searching area is thus expanded to incorporate \u0000more candidate components, which increases the probability of finding the true components at one iteration. The \u0000proposed method does not require the sparsity level to be known in prior. The Merging, Estimation and Pruning \u0000steps are carried out for each split set independently, which makes it especially suitable for parallel computation. The \u0000proposed SMP method is then extended to more practical condition, e.g. the direction of arrival (DOA) estimation \u0000problem in phased array radar system using compressed sensing. Numerical simulations show that the proposed \u0000method succeeds in identifying multiple targets in a sparse radar scene, outperforming other OMP-type methods. \u0000The proposed method also obtains more precise estimation of DOA angle using one snapshot compared with the \u0000traditional estimation methods such as Capon, APES (amplitude and phase estimation) and GLRT (generalized \u0000likelihood ratio test) based on hundreds of snapshots.","PeriodicalId":49251,"journal":{"name":"Journal of Applied Mathematics","volume":"2013 1","pages":"1-8"},"PeriodicalIF":0.0,"publicationDate":"2013-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/2013/804640","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64260980","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
On a Level-Set Method for Ill-Posed Problems with Piecewise Nonconstant Coefficients 分段非常系数不适定问题的水平集方法
Journal of Applied Mathematics Pub Date : 2013-01-31 DOI: 10.1155/2013/123643
A. Cezaro
{"title":"On a Level-Set Method for Ill-Posed Problems with Piecewise Nonconstant Coefficients","authors":"A. Cezaro","doi":"10.1155/2013/123643","DOIUrl":"https://doi.org/10.1155/2013/123643","url":null,"abstract":"We investigate a level-set-type method for solving ill-posed problems, with the assumption that the solutions are piecewise, but not necessarily constant functions with unknown level sets and unknown level values. In order to get stable approximate solutions of the inverse problem, we propose a Tikhonov-type regularization approach coupled with a level-set framework. We prove the existence of generalized minimizers for the Tikhonov functional. Moreover, we prove convergence and stability for regularized solutions with respect to the noise level, characterizing the level-set approach as a regularization method for inverse problems. We also show the applicability of the proposed level-set method in some interesting inverse problems arising in elliptic PDE models.","PeriodicalId":49251,"journal":{"name":"Journal of Applied Mathematics","volume":"2013 1","pages":"1-15"},"PeriodicalIF":0.0,"publicationDate":"2013-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/2013/123643","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64375058","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
(m,n)-Semirings and a Generalized Fault-Tolerance Algebra of Systems (m,n)-半环与系统的广义容错代数
Journal of Applied Mathematics Pub Date : 2013-01-01 DOI: 10.1155/2013/482391
Syed Eqbal Alam, Shrisha Rao, B. Davvaz
{"title":"(m,n)-Semirings and a Generalized Fault-Tolerance Algebra of Systems","authors":"Syed Eqbal Alam, Shrisha Rao, B. Davvaz","doi":"10.1155/2013/482391","DOIUrl":"https://doi.org/10.1155/2013/482391","url":null,"abstract":"We propose a new class of mathematical structures called(m,n)-semirings(which generalize the usual semirings) and describe their basic properties. We define partial ordering and generalize the concepts of congruence, homomorphism, and so forth, for(m,n)-semirings. Following earlier work by Rao (2008), we consider systems made up of several components whose failures may cause them to fail and represent the set of such systems algebraically as an(m,n)-semiring. Based on the characteristics of these components, we present a formalism to compare the fault-tolerance behavior of two systems using our framework of a partially ordered(m,n)-semiring.","PeriodicalId":49251,"journal":{"name":"Journal of Applied Mathematics","volume":"2013 1","pages":"1-10"},"PeriodicalIF":0.0,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/2013/482391","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64426025","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 7
Metric Subregularity for Subsmooth Generalized Constraint Equations in Banach Spaces Banach空间中次光滑广义约束方程的度量子正则性
Journal of Applied Mathematics Pub Date : 2012-12-26 DOI: 10.1155/2012/185249
Qinghai He, Ji Yang, Binbin Zhang
{"title":"Metric Subregularity for Subsmooth Generalized Constraint Equations in Banach Spaces","authors":"Qinghai He, Ji Yang, Binbin Zhang","doi":"10.1155/2012/185249","DOIUrl":"https://doi.org/10.1155/2012/185249","url":null,"abstract":"This paper is devoted to metric subregularity of a kind of generalized constraint equations. In particular, in terms of coderivatives and normal cones, we provide some necessary and sufficient conditions for subsmooth generalized constraint equations to be metrically subregular and strongly metrically subregular in general Banach spaces and Asplund spaces, respectively.","PeriodicalId":49251,"journal":{"name":"Journal of Applied Mathematics","volume":"2012 1","pages":"185249:1-185249:16"},"PeriodicalIF":0.0,"publicationDate":"2012-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/2012/185249","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64300324","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Stability of the Stochastic Reaction-Diffusion Neural Network with Time-Varying Delays and p-Laplacian 时变时滞随机反应-扩散神经网络的稳定性和p- laplace
Journal of Applied Mathematics Pub Date : 2012-12-03 DOI: 10.1155/2012/405939
Pan Qingfei, Zhang Zi-fang, Huang Jingchang
{"title":"Stability of the Stochastic Reaction-Diffusion Neural Network with Time-Varying Delays and p-Laplacian","authors":"Pan Qingfei, Zhang Zi-fang, Huang Jingchang","doi":"10.1155/2012/405939","DOIUrl":"https://doi.org/10.1155/2012/405939","url":null,"abstract":"The main aim of this paper is to discuss moment exponential stability for a stochastic reaction-diffusion neural network with time-varying delays and p-Laplacian. Using the Ito formula, a delay differential inequality and the characteristics of the neural network, the algebraic conditions for the moment exponential stability of the nonconstant equilibrium solution are derived. An example is also given for illustration.","PeriodicalId":49251,"journal":{"name":"Journal of Applied Mathematics","volume":"2012 1","pages":"1-10"},"PeriodicalIF":0.0,"publicationDate":"2012-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/2012/405939","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64319894","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 8
Approximate Super- and Sub-harmonic Response of a Multi-DOFs System with Local Cubic Nonlinearities under Resonance 具有局部三次非线性的多自由度系统在共振下的近似超谐波和次谐波响应
Journal of Applied Mathematics Pub Date : 2012-11-10 DOI: 10.1155/2012/531480
Yang Caijin
{"title":"Approximate Super- and Sub-harmonic Response of a Multi-DOFs System with Local Cubic Nonlinearities under Resonance","authors":"Yang Caijin","doi":"10.1155/2012/531480","DOIUrl":"https://doi.org/10.1155/2012/531480","url":null,"abstract":"A multi-degree-of-freedom dynamical system with local cubic nonlinearities subjected to super/subharmonic excitation is considered in this paper. The purpose of this paper is to approximate the \u0000nonlinear response of system at super/sub harmonic resonance. For many situations, single resonance mode is often observed to be leading as system enters into super/sub harmonic resonance. In this case, the single modal natural resonance theory can be applied to reduce the system model and a simplified model with only a single DOF is always obtained. Thus, an approximate solution and the analytical expression of frequency response relation are then derived using classical perturbation analysis. While the system is controlled by multiple modes, modal analysis for linearized system is used to decide dominant modes. The reduced model governed by these relevant modes is found and results in an approximate numerical solutions. An illustrative example of the discrete mass-spring-damper nonlinear vibration system with ten DOFs is examined. The approximation results are validated by comparing them with the calculations from direct numerical integration of the equation of motion of the original nonlinear system. Comparably good agreements are obtained.","PeriodicalId":49251,"journal":{"name":"Journal of Applied Mathematics","volume":"2012 1","pages":"1-22"},"PeriodicalIF":0.0,"publicationDate":"2012-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/2012/531480","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64330104","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
The Global Convergence of a New Mixed Conjugate Gradient Method for Unconstrained Optimization 一种新的无约束优化混合共轭梯度法的全局收敛性
Journal of Applied Mathematics Pub Date : 2012-10-16 DOI: 10.1155/2012/932980
Yang Yueting, Cao Mingyuan
{"title":"The Global Convergence of a New Mixed Conjugate Gradient Method for Unconstrained Optimization","authors":"Yang Yueting, Cao Mingyuan","doi":"10.1155/2012/932980","DOIUrl":"https://doi.org/10.1155/2012/932980","url":null,"abstract":"We propose and generalize a new nonlinear conjugate gradient method for unconstrained optimization. The global convergence is proved with the Wolfe line \u0000search. Numerical experiments are reported which support the theoretical analyses and show the presented methods outperforming CGDESCENT method.","PeriodicalId":49251,"journal":{"name":"Journal of Applied Mathematics","volume":"46 1","pages":"1-14"},"PeriodicalIF":0.0,"publicationDate":"2012-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/2012/932980","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64368865","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Symbolic Computation and the Extended Hyperbolic Function Method for Constructing Exact Traveling Solutions of Nonlinear PDEs 构造非线性偏微分方程精确运动解的符号计算和扩展双曲函数法
Journal of Applied Mathematics Pub Date : 2012-10-11 DOI: 10.1155/2012/716719
Huang Yong, Shang Yadong, Yu Wenjun
{"title":"Symbolic Computation and the Extended Hyperbolic Function Method for Constructing Exact Traveling Solutions of Nonlinear PDEs","authors":"Huang Yong, Shang Yadong, Yu Wenjun","doi":"10.1155/2012/716719","DOIUrl":"https://doi.org/10.1155/2012/716719","url":null,"abstract":"On the basis of the computer symbolic system Maple and the extended hyperbolic function method, we develop a more mathematically rigorous and systematic procedure for constructing exact solitary wave solutions and exact periodic traveling wave solutions in triangle form of various nonlinear partial differential equations that are with physical backgrounds. Compared with the existing methods, the proposed method gives new and more general solutions. More importantly, the method provides a straightforward and effective algorithm to obtain abundant explicit and exact particular solutions for large nonlinear mathematical physics equations. We apply the presented method to two variant Boussinesq equations and give a series of exact explicit traveling wave solutions that have some more general forms. So consequently, the efficiency and the generality of the proposed method are demonstrated.","PeriodicalId":49251,"journal":{"name":"Journal of Applied Mathematics","volume":"2012 1","pages":"1-19"},"PeriodicalIF":0.0,"publicationDate":"2012-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/2012/716719","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64346128","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Equivalent Finite Element Formulations for the Calculation of Eigenvalues Using Higher-Order Polynomials 用高阶多项式计算特征值的等效有限元公式
Journal of Applied Mathematics Pub Date : 2012-08-31 DOI: 10.5923/J.AM.20110101.02
C. Provatidis
{"title":"Equivalent Finite Element Formulations for the Calculation of Eigenvalues Using Higher-Order Polynomials","authors":"C. Provatidis","doi":"10.5923/J.AM.20110101.02","DOIUrl":"https://doi.org/10.5923/J.AM.20110101.02","url":null,"abstract":"This paper investigates higher-order approximations in order to extract Sturm-Liouville eigenvalues in one-dimensional vibration problems in continuum mechanics. Several alternative global approximations of polynomial form such as Lagrange, Bernstein, Legendre as well as Chebyshev of first and second kind are discussed. In an instructive way, closed form analytical formulas are derived for the stiffness and mass matrices up to the quartic degree. A rigorous proof for the transformation of the matrices, when the basis changes, is given. Also, a theoretical explanation is provided for the fact that all the aforementioned alternative pairs of matrices lead to identical eigenvalues. The theory is sustained by one numerical example under three types of boundary conditions.","PeriodicalId":49251,"journal":{"name":"Journal of Applied Mathematics","volume":"1 1","pages":"13-23"},"PeriodicalIF":0.0,"publicationDate":"2012-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71250644","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
Exact Elliptic Solution for Non-Linear Klein-Gordon Equation Via Auxiliary Equation Method 非线性Klein-Gordon方程的辅助方程法精确椭圆解
Journal of Applied Mathematics Pub Date : 2012-08-31 DOI: 10.5923/J.AM.20120203.02
G. Moatimid, M. Moussa, R. El-Shiekh, A. A. El-Satar
{"title":"Exact Elliptic Solution for Non-Linear Klein-Gordon Equation Via Auxiliary Equation Method","authors":"G. Moatimid, M. Moussa, R. El-Shiekh, A. A. El-Satar","doi":"10.5923/J.AM.20120203.02","DOIUrl":"https://doi.org/10.5923/J.AM.20120203.02","url":null,"abstract":"By using symbolic computation, we apply Auxiliary equation method to construct exact solutions of Non-Linear Klein-Gordon equation. We show that Auxiliary equation method provides a powerful mathematical tool for solving nonlinear evolution equations in mathematical physics.","PeriodicalId":49251,"journal":{"name":"Journal of Applied Mathematics","volume":"2 1","pages":"55-57"},"PeriodicalIF":0.0,"publicationDate":"2012-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71250887","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信