{"title":"Sequential estimation of survival functions with a neutral to the right process prior","authors":"D. Morales, L. Pardo, V. Quesada","doi":"10.21136/am.1994.134247","DOIUrl":"https://doi.org/10.21136/am.1994.134247","url":null,"abstract":"","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"54 1","pages":"97-109"},"PeriodicalIF":0.7,"publicationDate":"1994-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77243394","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On Kalmbach measurability","authors":"A. D'Andrea, P. Lucia, J. Wright","doi":"10.21136/am.1994.134270","DOIUrl":"https://doi.org/10.21136/am.1994.134270","url":null,"abstract":"","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"28 1","pages":"445-447"},"PeriodicalIF":0.7,"publicationDate":"1994-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81881750","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We i n vestigate t h e n o n auto n omous periodic system of ODE's of t h e fo r m x = v(x) + r p (t)(w(x) — v(x))> w h e r e r p (t) is a 2p-pe r iodic functi o n defi n ed by r P (t) = 0 fo r t 6 (0, p ), r p (t) = 1 fo r t G (p, 2 p ) a n d t h e vecto r fields v a n d w a r e re l ated by a n i n vo l utive diffeomo r p h ism.
{"title":"On systems governed by two alternating vector fields","authors":"A. Klíc, J. Řeháček","doi":"10.21136/am.1994.134243","DOIUrl":"https://doi.org/10.21136/am.1994.134243","url":null,"abstract":"We i n vestigate t h e n o n auto n omous periodic system of ODE's of t h e fo r m x = v(x) + r p (t)(w(x) — v(x))> w h e r e r p (t) is a 2p-pe r iodic functi o n defi n ed by r P (t) = 0 fo r t 6 (0, p ), r p (t) = 1 fo r t G (p, 2 p ) a n d t h e vecto r fields v a n d w a r e re l ated by a n i n vo l utive diffeomo r p h ism.","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"34 1","pages":"57-64"},"PeriodicalIF":0.7,"publicationDate":"1994-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86365719","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Summary. A r ecu rr ence r e l ation fo r the computation of the L p -no r ms of an He r mitian F r edho l m integ r a l operato r is de r ived and an expression giving approximate l y the number of eigenva l ues which in abso l ute va l ue a r e equa l to the spect r a l r adius is dete r mined. Using the L p -no r ms fo r the app r oximation of the spectra l radius of this ope r ato r an a p r iori and an a p o ste r io r i bound fo r the error a r e obtained. Some prope r ties of the a poste r iori bound a r e discussed.
总结。本文给出了一个近似的表达式，它给出了一个近似的特征值的个数，这个特征值的个数几乎等于特征值的个数，这个特征值的个数等于特征值的个数。利用L - p - r - ms对该光谱的L -半径进行了近似，得到了该光谱的L -半径和p - r -半径，得到了该光谱的L -半径和r - p - r -半径。本文讨论了一种有界的状态方程的一些性质。
{"title":"On limits of $L_p$-norms of an integral operator","authors":"Pavel Stavinoha","doi":"10.21136/am.1994.134259","DOIUrl":"https://doi.org/10.21136/am.1994.134259","url":null,"abstract":"Summary. A r ecu rr ence r e l ation fo r the computation of the L p -no r ms of an He r mitian F r edho l m integ r a l operato r is de r ived and an expression giving approximate l y the number of eigenva l ues which in abso l ute va l ue a r e equa l to the spect r a l r adius is dete r mined. Using the L p -no r ms fo r the app r oximation of the spectra l radius of this ope r ato r an a p r iori and an a p o ste r io r i bound fo r the error a r e obtained. Some prope r ties of the a poste r iori bound a r e discussed.","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"195 1","pages":"299-307"},"PeriodicalIF":0.7,"publicationDate":"1994-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75885055","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"One-step methods for two-point boundary value problems in ordinary differential equations with parameters","authors":"T. Jankowski","doi":"10.21136/AM.1994.134246","DOIUrl":"https://doi.org/10.21136/AM.1994.134246","url":null,"abstract":"","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"56 1","pages":"81-95"},"PeriodicalIF":0.7,"publicationDate":"1994-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81609754","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Multi-level method in eigenvalue problem","authors":"P. Vanek","doi":"10.21136/am.1994.134256","DOIUrl":"https://doi.org/10.21136/am.1994.134256","url":null,"abstract":"","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"118 1","pages":"259-267"},"PeriodicalIF":0.7,"publicationDate":"1994-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74107666","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"To the 60th birthday of Zbyněk Šidák","authors":"J. Jurečková","doi":"10.21136/am.1994.134244","DOIUrl":"https://doi.org/10.21136/am.1994.134244","url":null,"abstract":"","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"53 1","pages":"65-68"},"PeriodicalIF":0.7,"publicationDate":"1994-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74686159","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We study spectral discretizations for singular perturbation problems. A special technique of stabilization for the spectral method is proposed. Boundary layer problems are accurately solved by a domain decomposition method. An effective iterative method for the solution of spectral systems is proposed. Suitable components for a multigrid method are presented.
{"title":"Spectral methods for singular perturbation problems","authors":"W. Heinrichs","doi":"10.21136/am.1994.134251","DOIUrl":"https://doi.org/10.21136/am.1994.134251","url":null,"abstract":"We study spectral discretizations for singular perturbation problems. A special technique of stabilization for the spectral method is proposed. Boundary layer problems are accurately solved by a domain decomposition method. An effective iterative method for the solution of spectral systems is proposed. Suitable components for a multigrid method are presented.","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"28 1","pages":"161-188"},"PeriodicalIF":0.7,"publicationDate":"1994-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83351381","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Biquadratic splines interpolating mean values","authors":"J. Kobza, Jan Mlčák","doi":"10.21136/am.1994.134263","DOIUrl":"https://doi.org/10.21136/am.1994.134263","url":null,"abstract":"","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"24 1","pages":"339-356"},"PeriodicalIF":0.7,"publicationDate":"1994-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85061182","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Summary. An algorithm for using the preconditioned conjugate gradient method to solve a coarse level problem is presented.
总结。提出了一种用预条件共轭梯度法求解粗层次问题的算法。
{"title":"Multigrid method with preconditioning on coarse level","authors":"J. Krízková, P. Vanek","doi":"10.21136/am.1994.134265","DOIUrl":"https://doi.org/10.21136/am.1994.134265","url":null,"abstract":"Summary. An algorithm for using the preconditioned conjugate gradient method to solve a coarse level problem is presented.","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"61 1","pages":"365-373"},"PeriodicalIF":0.7,"publicationDate":"1994-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75204533","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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