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On the interaction of deformation waves in microstructured solids; 93–99 微结构固体中变形波相互作用的研究93 - 99
Proceedings of the Estonian Academy of Sciences. Physics. Mathematics Pub Date : 2007-06-20 DOI: 10.3176/phys.math.2007.2.04
A. Salupere, K. Tamm, J. Engelbrecht, P. Peterson
{"title":"On the interaction of deformation waves in microstructured solids; 93–99","authors":"A. Salupere, K. Tamm, J. Engelbrecht, P. Peterson","doi":"10.3176/phys.math.2007.2.04","DOIUrl":"https://doi.org/10.3176/phys.math.2007.2.04","url":null,"abstract":"The modelling of wave propagation in microstructured materials should be able to account for various scales of microstructure. In the present paper governing equations for 1D waves in microstructured material are presented, based on the Mindlin model and the hierarchical approach. The governing equation under consideration has an analytical solution only in limit cases, therefore numerical analysis is carried out. Numerical solutions are found in the case of localized initial conditions by employing the pseudospectral method. Special attention is paid to the solitonic character of the solution.","PeriodicalId":308961,"journal":{"name":"Proceedings of the Estonian Academy of Sciences. Physics. Mathematics","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2007-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126868004","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: 6
μ-faster convergence and μ-acceleration of convergence by regular matrices μ-正则矩阵更快收敛和μ-加速收敛
Proceedings of the Estonian Academy of Sciences. Physics. Mathematics Pub Date : 2006-12-20 DOI: 10.3176/phys.math.2006.4.01
A. Aasma
{"title":"μ-faster convergence and μ-acceleration of convergence by regular matrices","authors":"A. Aasma","doi":"10.3176/phys.math.2006.4.01","DOIUrl":"https://doi.org/10.3176/phys.math.2006.4.01","url":null,"abstract":"A new, nonclassical convergence acceleration concept, called \"-acceleration of convergence (where \" is a positive monotonically increasing sequence), is introduced and compared with the classical convergence acceleration concept. Regular matrix methods are used to accelerate the convergence of sequences. Kornfeld (J. Comput. Appl. Math., 1994, 53, 309-321) proved that if B-transform of every convergent sequence x converges not slower than its A-transform, where A and B are regular matrix methods, then A and B are equivalent. In this paper it is proved that Kornfeld's assertion cannot be transferred to \"-acceleration of convergence in a general case.","PeriodicalId":308961,"journal":{"name":"Proceedings of the Estonian Academy of Sciences. Physics. Mathematics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2006-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125771997","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
The first scientific results from the Estonian Grid 爱沙尼亚电网的第一个科学成果
Proceedings of the Estonian Academy of Sciences. Physics. Mathematics Pub Date : 2004-11-02 DOI: 10.3176/phys.math.2005.2.05
A. Hektor, L. Anton, M. Kadastik, K. Skaburskas, Hardi Teder National Institute of Chemical Physics, Biophysics, Tallinn, Estonia., Estonian Educational, Research Network, Tartu, Institute of Technology, University of Tartu
{"title":"The first scientific results from the Estonian Grid","authors":"A. Hektor, L. Anton, M. Kadastik, K. Skaburskas, Hardi Teder National Institute of Chemical Physics, Biophysics, Tallinn, Estonia., Estonian Educational, Research Network, Tartu, Institute of Technology, University of Tartu","doi":"10.3176/phys.math.2005.2.05","DOIUrl":"https://doi.org/10.3176/phys.math.2005.2.05","url":null,"abstract":"We present first scientific results, technical details and recent developments in the Estonian Grid. Ideas and concepts behind Grid technology are described. We mention some most crucial parts of a Grid system, as well as some unique possibilities in the Estonian situation. Scientific applications currently running on Estonian Grid are listed. We discuss the first scientific computations and results the Estonian Grid. The computations show that the middleware is well chosen and the Estonian Grid has remarkable stability and scalability. The authors present the collected results and experiences of the development of the Estonian Grid and add some ideas of the near future of the Estonian Grid.","PeriodicalId":308961,"journal":{"name":"Proceedings of the Estonian Academy of Sciences. Physics. Mathematics","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2004-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131174961","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
Measurement of time in nonrelativistic quantum and classical mechanics 非相对论量子和经典力学中时间的测量
Proceedings of the Estonian Academy of Sciences. Physics. Mathematics Pub Date : 2001-02-01 DOI: 10.3176/phys.math.2001.4.02
P. Kuusk, M. Kõiv
{"title":"Measurement of time in nonrelativistic quantum and classical mechanics","authors":"P. Kuusk, M. Kõiv","doi":"10.3176/phys.math.2001.4.02","DOIUrl":"https://doi.org/10.3176/phys.math.2001.4.02","url":null,"abstract":"Possible theoretical frameworks for measurement of (arrival) time in nonrelativistic quantum mechanics are reviewed. It is argued that the ambiguity between indirect measurements by a suitably introduced time operator and direct measurements by a physical clock particle has a counterpart in the corresponding classical framework of measurement of the Newtonian time based on the Hamiltonian mechanics.","PeriodicalId":308961,"journal":{"name":"Proceedings of the Estonian Academy of Sciences. Physics. Mathematics","volume":"525 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2001-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123575120","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
TERNARY GENERALIZATIONS OF GRASSMANN ALGEBRA 格拉斯曼代数的三元推广
Proceedings of the Estonian Academy of Sciences. Physics. Mathematics Pub Date : 1996-07-31 DOI: 10.3176/phys.math.1996.2/3.05
V. Abramov
{"title":"TERNARY GENERALIZATIONS OF GRASSMANN ALGEBRA","authors":"V. Abramov","doi":"10.3176/phys.math.1996.2/3.05","DOIUrl":"https://doi.org/10.3176/phys.math.1996.2/3.05","url":null,"abstract":"We propose the ternary generalization of the classical anti-commutativity and study the algebras whose generators are ternary anti-commutative. The integral over an algebra with an arbitrary number of generators N is defined and the formula of a change of variables is proved. In analogy with the fermion integral we define an analogue of the Pfaffian for a cubic matrix by means of Gaussian type integral and calculate its explicit form in the case of N = 3.","PeriodicalId":308961,"journal":{"name":"Proceedings of the Estonian Academy of Sciences. Physics. Mathematics","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1996-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115607280","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
RETRIEVAL OF SCATTERING PHASE FUNCTION FROM SKY BRIGHTNESS DISTRIBUTION DATA 从天空亮度分布数据中反演散射相位函数
Proceedings of the Estonian Academy of Sciences. Physics. Mathematics Pub Date : 1900-01-01 DOI: 10.3176/phys.math.1991.4.04
Margus Roll, Meelis Reinart, Iurii Kniazikhin
{"title":"RETRIEVAL OF SCATTERING PHASE FUNCTION FROM SKY BRIGHTNESS DISTRIBUTION DATA","authors":"Margus Roll, Meelis Reinart, Iurii Kniazikhin","doi":"10.3176/phys.math.1991.4.04","DOIUrl":"https://doi.org/10.3176/phys.math.1991.4.04","url":null,"abstract":"","PeriodicalId":308961,"journal":{"name":"Proceedings of the Estonian Academy of Sciences. Physics. Mathematics","volume":"61 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":"115700607","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
On real and imaginary algorithms of optical tensor field tomography 光学张量场层析成像的实、虚算法
Proceedings of the Estonian Academy of Sciences. Physics. Mathematics Pub Date : 1900-01-01 DOI: 10.3176/phys.math.2006.2.03
H. Aben, A. Errapart, L. Ainola
{"title":"On real and imaginary algorithms of optical tensor field tomography","authors":"H. Aben, A. Errapart, L. Ainola","doi":"10.3176/phys.math.2006.2.03","DOIUrl":"https://doi.org/10.3176/phys.math.2006.2.03","url":null,"abstract":"In optical tensor field tomography either the dielectric tensor or the stress tensor has to be determined. In experiments either interferometric measurement of the absolute optical retarda- tions or comparatively simple measurement of the relative optical retardations can be used. The paper analyses main differences of tomographic algorithms for the dielectric and stress tensor fields for both methods of optical measurements. It also shows that a r ecently published algorithm for tomographic measurement of the dielectric tensor field is wrong in principle.","PeriodicalId":308961,"journal":{"name":"Proceedings of the Estonian Academy of Sciences. Physics. Mathematics","volume":"1 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":"124400450","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: 6
ON THE CONSTRUCTION OF SMOOTHING SPLINES BY QUADRATIC PROGRAMMING 用二次规划构造光滑样条
Proceedings of the Estonian Academy of Sciences. Physics. Mathematics Pub Date : 1900-01-01 DOI: 10.3176/phys.math.2000.1.03
N. Budkina
{"title":"ON THE CONSTRUCTION OF SMOOTHING SPLINES BY QUADRATIC PROGRAMMING","authors":"N. Budkina","doi":"10.3176/phys.math.2000.1.03","DOIUrl":"https://doi.org/10.3176/phys.math.2000.1.03","url":null,"abstract":". The problem of minimization of a smoothing functional under inequality constraints, which has a solution in the form of a natural spline, is reduced to the problem of quadratic programming with a positive semidefinite matrix. Using the results of quadratic programming, we obtain the modified simplex method for the solution of this problem by adding—-removing interpolating knots of a spline.","PeriodicalId":308961,"journal":{"name":"Proceedings of the Estonian Academy of Sciences. Physics. Mathematics","volume":"3 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":"124424637","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
Wave propagation in dissipative microstructured materials 耗散微结构材料中的波传播
Proceedings of the Estonian Academy of Sciences. Physics. Mathematics Pub Date : 1900-01-01 DOI: 10.3176/phys.math.2003.1.10
T. Sillat, J. Engelbrecht
{"title":"Wave propagation in dissipative microstructured materials","authors":"T. Sillat, J. Engelbrecht","doi":"10.3176/phys.math.2003.1.10","DOIUrl":"https://doi.org/10.3176/phys.math.2003.1.10","url":null,"abstract":"One-dimensional deformation waves in microstructured materials are described by an hierarchical evolution equation that clearly distinguishes macro- and microstructural behaviour. The pseudospectral method is used for numerical simulation supported by the analytical solution for the linear case. It is shown how dissipative effects on various scales affect the harmonic wave. The shock wave formation on macroscale is strongly influenced by the microstructure. The results of this study can be used for material processing.","PeriodicalId":308961,"journal":{"name":"Proceedings of the Estonian Academy of Sciences. Physics. Mathematics","volume":"21 5","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120973045","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 GENERATION OF AN ACOUSTIC SOLITON AND SOLITON TUBE 声学孤子和孤子管的产生
Proceedings of the Estonian Academy of Sciences. Physics. Mathematics Pub Date : 1900-01-01 DOI: 10.3176/phys.math.1995.1.05
Nobumasa Sugimoto
{"title":"THE GENERATION OF AN ACOUSTIC SOLITON AND SOLITON TUBE","authors":"Nobumasa Sugimoto","doi":"10.3176/phys.math.1995.1.05","DOIUrl":"https://doi.org/10.3176/phys.math.1995.1.05","url":null,"abstract":"","PeriodicalId":308961,"journal":{"name":"Proceedings of the Estonian Academy of Sciences. Physics. Mathematics","volume":"47 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":"124799622","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
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