{"title":"The TSVD Method for Numerical Differentiation of 2D Functions","authors":"Zhen-yu Zhao, C. Yue","doi":"10.1109/CSO.2010.11","DOIUrl":null,"url":null,"abstract":"Numerical is a a classical ill-posed problem. In this paper, we propose a new method for numerical differentiation of bivariate functions. The truncated singular value decomposition (TSVD)regularization approach of weighted generalized solution for reasonable equations has been introduced to deal with the ill-posed ness of the problem. We show that the method can be realized by the discrete sine transform. Theoretical and numerical results show that the method is effective.","PeriodicalId":427481,"journal":{"name":"2010 Third International Joint Conference on Computational Science and Optimization","volume":"9 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 Third International Joint Conference on Computational Science and Optimization","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CSO.2010.11","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
Numerical is a a classical ill-posed problem. In this paper, we propose a new method for numerical differentiation of bivariate functions. The truncated singular value decomposition (TSVD)regularization approach of weighted generalized solution for reasonable equations has been introduced to deal with the ill-posed ness of the problem. We show that the method can be realized by the discrete sine transform. Theoretical and numerical results show that the method is effective.
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