{"title":"Ordinal and Relational Clustering","authors":"M. Janowitz","doi":"10.1142/7449","DOIUrl":"https://doi.org/10.1142/7449","url":null,"abstract":"Informal Background Dissimilarities and Clusters Ordinal Data Continuity and Ordinal Continuity Classification of Monotone Equivariant Cluster Methods Clustering Based on Posets.","PeriodicalId":233561,"journal":{"name":"Interdisciplinary Mathematical Sciences","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130941830","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}
{"title":"Meshfree Approximation Methods with Matlab","authors":"G. Fasshauer","doi":"10.1142/6437","DOIUrl":"https://doi.org/10.1142/6437","url":null,"abstract":"Meshfree approximation methods are a relatively new area of research, and there are only a few books covering it at present. Whereas other works focus almost entirely on theoretical aspects or applications in the engineering field, this book provides the salient theoretical results needed for a basic understanding of meshfree approximation methods. The emphasis here is on a hands-on approach that includes MATLAB routines for all basic operations. Meshfree approximation methods, such as radial basis function and moving least squares method, are discussed from a scattered data approximation and partial differential equations point of view. A good balance is supplied between the necessary theory and implementation in terms of many MATLAB programs, with examples and applications to illustrate key points. Used as class notes for graduate courses at Northwestern University, Illinois Institute of Technology, and Vanderbilt University, this book will appeal to both mathematics and engineering graduate students.","PeriodicalId":233561,"journal":{"name":"Interdisciplinary Mathematical Sciences","volume":"50 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2007-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125205948","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}
{"title":"Variational Methods for Strongly Indefinite Problems","authors":"Yanheng Ding","doi":"10.1142/6565","DOIUrl":"https://doi.org/10.1142/6565","url":null,"abstract":"Lipschitz Partitions of Unity (Lipschitz Normality, Sufficient Conditions of the Normal Gage Space, Flow of ODE on Gage Spaces) Deformations on Locally Convex Topological Vector Spaces Critical Point Theorems Homoclinics in Hamiltonian Systems (Spectrum of the Hamiltonian Operator, Variational Setting, Linking Structure, the (C) Sequences, Existence and Multiplicity) Standing Waves of Schrodinger Equations Solutions of Nonlinear Dirac Equations Solutions of Systems of Diffusion Equations.","PeriodicalId":233561,"journal":{"name":"Interdisciplinary Mathematical Sciences","volume":"317 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":"122316400","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}
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