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The Birth of Numerical Analysis最新文献

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On nonlinear optimization since 1959 从1959年开始研究非线性优化
The Birth of Numerical Analysis Pub Date : 1900-01-01 DOI: 10.1142/9789812836267_0009
M. Powell
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引用次数: 8
A personal perspective on the history of the numerical analysis of Fredholm integral equations of the second kind 对第二类Fredholm积分方程数值分析历史的个人看法
The Birth of Numerical Analysis Pub Date : 1900-01-01 DOI: 10.1142/9789812836267_0005
K. Atkinson
{"title":"A personal perspective on the history of the numerical analysis of Fredholm integral equations of the second kind","authors":"K. Atkinson","doi":"10.1142/9789812836267_0005","DOIUrl":"https://doi.org/10.1142/9789812836267_0005","url":null,"abstract":"This is a personal perspective on the development of numerical methods for solving Fredholm integral equations of the second kind, discussing work being done principally during the 1950s and 1960s. The principal types of numerical methods being studied were projection methods (Galerkin, collocation) and Nystrom methods. During the 1950s and 1960s, functional analysis became the framework for the analysis of numerical methods for solving integral equations, and this in‡uenced the questions being asked. This paper looks at the history of the analyses being done at that time.","PeriodicalId":412573,"journal":{"name":"The Birth of Numerical Analysis","volume":"76 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131506698","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: 4
Some pioneers of extrapolation methods 外推法的一些先驱
The Birth of Numerical Analysis Pub Date : 1900-01-01 DOI: 10.1142/9789812836267_0001
C. Brezinski
{"title":"Some pioneers of extrapolation methods","authors":"C. Brezinski","doi":"10.1142/9789812836267_0001","DOIUrl":"https://doi.org/10.1142/9789812836267_0001","url":null,"abstract":"","PeriodicalId":412573,"journal":{"name":"The Birth of Numerical Analysis","volume":"304 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117228534","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: 10
Very basic multidimensional extrapolation quadrature 非常基本的多维外推求积分
The Birth of Numerical Analysis Pub Date : 1900-01-01 DOI: 10.1142/9789812836267_0002
J. N. Lyness
{"title":"Very basic multidimensional extrapolation quadrature","authors":"J. N. Lyness","doi":"10.1142/9789812836267_0002","DOIUrl":"https://doi.org/10.1142/9789812836267_0002","url":null,"abstract":"","PeriodicalId":412573,"journal":{"name":"The Birth of Numerical Analysis","volume":"71 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122890603","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
Memoires on building a general purpose numerical algorithms library 关于建立一个通用数值算法库的备忘录
The Birth of Numerical Analysis Pub Date : 1900-01-01 DOI: 10.1142/9789812836267_0006
B. Ford
{"title":"Memoires on building a general purpose numerical algorithms library","authors":"B. Ford","doi":"10.1142/9789812836267_0006","DOIUrl":"https://doi.org/10.1142/9789812836267_0006","url":null,"abstract":"","PeriodicalId":412573,"journal":{"name":"The Birth of Numerical Analysis","volume":"65 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114544637","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
Numerical methods for ordinary differential equations: early days 常微分方程的数值方法:早期
The Birth of Numerical Analysis Pub Date : 1900-01-01 DOI: 10.1142/9789812836267_0003
J. Butcher
{"title":"Numerical methods for ordinary differential equations: early days","authors":"J. Butcher","doi":"10.1142/9789812836267_0003","DOIUrl":"https://doi.org/10.1142/9789812836267_0003","url":null,"abstract":"Systems of ordinary and/or partial differential equations form the basis for nearly all mathematical models used in the physical, social and engineering sciences. Most of the equations that arise cannot be solved \"by hand\" and require the use of numerical methods to obtain solutions. The focus of the Math 269 series of courses is on the numerical methods used to create approximate solutions of systems of ordinary and partial differential equations.","PeriodicalId":412573,"journal":{"name":"The Birth of Numerical Analysis","volume":"78 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124503287","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
Applications of Chebyshev polynomials: from theoretical kinematics to practical computations 切比雪夫多项式的应用:从理论运动学到实际计算
The Birth of Numerical Analysis Pub Date : 1900-01-01 DOI: 10.1142/9789812836267_0013
R. Piessens
{"title":"Applications of Chebyshev polynomials: from theoretical kinematics to practical computations","authors":"R. Piessens","doi":"10.1142/9789812836267_0013","DOIUrl":"https://doi.org/10.1142/9789812836267_0013","url":null,"abstract":"","PeriodicalId":412573,"journal":{"name":"The Birth of Numerical Analysis","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123833683","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
Recent trends in high performance computing 高性能计算的最新趋势
The Birth of Numerical Analysis Pub Date : 1900-01-01 DOI: 10.1142/9789812836267_0007
J. Dongarra, H. Meuer, H. Simon, E. Strohmaier
{"title":"Recent trends in high performance computing","authors":"J. Dongarra, H. Meuer, H. Simon, E. Strohmaier","doi":"10.1142/9789812836267_0007","DOIUrl":"https://doi.org/10.1142/9789812836267_0007","url":null,"abstract":"","PeriodicalId":412573,"journal":{"name":"The Birth of Numerical Analysis","volume":"197 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115663705","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
My early experiences with scientific computation 我早期的科学计算经验
The Birth of Numerical Analysis Pub Date : 1900-01-01 DOI: 10.1142/9789812836267_0012
P. Davis
{"title":"My early experiences with scientific computation","authors":"P. Davis","doi":"10.1142/9789812836267_0012","DOIUrl":"https://doi.org/10.1142/9789812836267_0012","url":null,"abstract":"","PeriodicalId":412573,"journal":{"name":"The Birth of Numerical Analysis","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116986334","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
Nonnegativity constraints in numerical analysis 数值分析中的非负性约束
The Birth of Numerical Analysis Pub Date : 1900-01-01 DOI: 10.1142/9789812836267_0008
Donghui Chen, R. Plemmons
{"title":"Nonnegativity constraints in numerical analysis","authors":"Donghui Chen, R. Plemmons","doi":"10.1142/9789812836267_0008","DOIUrl":"https://doi.org/10.1142/9789812836267_0008","url":null,"abstract":"A survey of the development of algorithms for enforcing nonnegativity constraints in scientific computation is given. Special emphasis is placed on such constraints in least squares computations in numerical linear algebra and in nonlinear optimization. Techniques involving nonnegative low-rank matrix and tensor factorizations are also emphasized. Details are provided for some important classical and modern applications in science and engineering. For completeness, this report also includes an effort toward a literature survey of the various algorithms and applications of nonnegativity constraints in numerical analysis.","PeriodicalId":412573,"journal":{"name":"The Birth of Numerical Analysis","volume":"51 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127425361","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: 233
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