04812nam 22007815 450 991030024800332120220329225929.03-662-47324-010.1007/978-3-662-47324-5(CKB)3710000000541909(EBL)4213051(SSID)ssj0001597274(PQKBManifestationID)16297056(PQKBTitleCode)TC0001597274(PQKBWorkID)14886358(PQKB)10872929(DE-He213)978-3-662-47324-5(MiAaPQ)EBC4213051(PPN)19088553X(EXLCZ)99371000000054190920151221d2015 u| 0engur|n|---|||||txtccrHierarchical matrices: algorithms and analysis /by Wolfgang Hackbusch1st ed. 2015.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2015.1 online resource (532 p.)Springer Series in Computational Mathematics,0179-3632 ;49Description based upon print version of record.3-662-47323-2 Includes bibliographical references and index.Preface -- Part I: Introductory and Preparatory Topics -- 1. Introduction -- 2. Rank-r Matrices -- 3. Introductory Example -- 4. Separable Expansions and Low-Rank Matrices -- 5. Matrix Partition -- Part II: H-Matrices and Their Arithmetic -- 6. Definition and Properties of Hierarchical Matrices -- 7. Formatted Matrix Operations for Hierarchical Matrices -- 8. H2-Matrices -- 9. Miscellaneous Supplements -- Part III: Applications -- 10. Applications to Discretised Integral Operators -- 11. Applications to Finite Element Matrices -- 12. Inversion with Partial Evaluation -- 13. Eigenvalue Problems -- 14. Matrix Functions -- 15. Matrix Equations -- 16. Tensor Spaces -- Part IV: Appendices -- A. Graphs and Trees -- B. Polynomials -- C. Linear Algebra and Functional Analysis -- D. Sinc Functions and Exponential Sums -- E. Asymptotically Smooth Functions -- References -- Index.This self-contained monograph presents matrix algorithms and their analysis. The new technique enables not only the solution of linear systems but also the approximation of matrix functions, e.g., the matrix exponential. Other applications include the solution of matrix equations, e.g., the Lyapunov or Riccati equation. The required mathematical background can be found in the appendix. The numerical treatment of fully populated large-scale matrices is usually rather costly. However, the technique of hierarchical matrices makes it possible to store matrices and to perform matrix operations approximately with almost linear cost and a controllable degree of approximation error. For important classes of matrices, the computational cost increases only logarithmically with the approximation error. The operations provided include the matrix inversion and LU decomposition. Since large-scale linear algebra problems are standard in scientific computing, the subject of hierarchical matrices is of interest to scientists in computational mathematics, physics, chemistry and engineering.Springer Series in Computational Mathematics,0179-3632 ;49Numerical analysisAlgorithmsDifferential equations, PartialIntegral equationsMatrix theoryAlgebraNumerical Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M14050Algorithmshttps://scigraph.springernature.com/ontologies/product-market-codes/M14018Partial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Integral Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12090Linear and Multilinear Algebras, Matrix Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M11094Numerical analysis.Algorithms.Differential equations, Partial.Integral equations.Matrix theory.Algebra.Numerical Analysis.Algorithms.Partial Differential Equations.Integral Equations.Linear and Multilinear Algebras, Matrix Theory.512.9434Hackbusch Wolfgangauthttp://id.loc.gov/vocabulary/relators/aut51792MiAaPQMiAaPQMiAaPQBOOK9910300248003321Hierarchical matrices1522861UNINA03850oam 22005054a 450 991075408560332120250510011410.01-80270-147-810.1515/9781802701470(CKB)28845658700041(OCoLC)1405368260(MdBmJHUP)musev2_111703(DE-B1597)662832(DE-B1597)9781802701470(MiAaPQ)EBC31206637(Au-PeEL)EBL31206637(EXLCZ)992884565870004120230602d2023 uy 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierThe Museum as Experience Learning, Connection, and Shared Space1st ed.[S.l.] :ARC HUMANITIES PR,2023.©2023.1 online resource (184 pages)illustrations (black and white, and colour), maps (black and white) ;Collection development, cultural heritage, and digital humanities9781641893718 Frontmatter --CONTENTS --LIST OF ILLUSTRATIONS --EDITOR'S INTRODUCTION --Part One EXPERIENCING EDUCATION IN THE MUSEUM --Chapter One EXPERIENCE TO ENCOUNTER: THE MUSEUM AS PERFORMATIVE SPACE --Chapter Two TEACHING AND LEARNING IN A UNIVERSITY ART MUSEUM: EXPERIENTIAL EDUCATION AND COMMUNAL SPACES --Chapter Three FINDING EMPATHY IN ART: HEALTHCARE PROFESSIONALS AND THE MUSEUM EXPERIENCE --Part Two THE MUSEUM AS EXPERIENTIAL SPACE --Chapter Four KNOW THYSELF: IDENTIFYING WITH THE MUSEUM OF SCIENCE AND INDUSTRY'S YOU! THE EXPERIENCE --Chapter Five MUSEUM CONSTELLATIONS: HOW DEMENTIA-FRIENDLY PROGRAMS BUILD AND STRENGTHEN RELATIONSHIPS --Chapter Six AWAKENING OUR SENSE OF TOUCH --Part Three THE MUSEUM AS A SITE OF RE-EXPERIENCING --Chapter Seven "A POWER IN THE PLACE": DISRUPTING THE SILENCE AND MEMORIALIZING LEGACY --Chapter Eight THE ICONIZATION OF A MONUMENT: THE MIQUA IN COLOGNE, BETWEEN INTERPRETATION AND IMAGINATION --Chapter Nine A LABOUR OF LOVE: (RE)BIRTHING THE BABIES OF SOUTH AUSTRALIA'S DESTITUTE ASYLUM --Part Four WITHIN (AND WITHOUT) MUSEUM WALLS --Chapter Ten BOTH WAYS: GROWING ART AND COMMUNITY THROUGH TOUCH --Chapter Eleven "THE ARC OF PROMISE": AWAKENING THE HEART THROUGH ART --Chapter Twelve CRAFTING COMMUNITY, CONNECTION, COMPASSION IN A PANDEMIC --FURTHER READING --INDEXMuseums have long been viewed as exclusive, excluding, and as antiseptic to intimacy. In the past few decades, however, humanized experiences-cultivated by curators, educators, artists, activists, and marketers alike-have emerged as the reason for being for these cornerstones of community. Such experiences are often possible only in museum settings, where cultural exploration, probing conversation, and safe risk-taking can occur in spaces now becoming sacred through inclusiveness. This book brings together an interdisciplinary collection of essays examining the kinds of human experiences and interactions that have converted the once-sterile museum into a space of enlivenment and enrichment, as well as physical and emotional well-being. The essays focus for the first time on the uniquely human and humanizing experiences to be found in the collections, programs, exhibitions, and spaces of today's museums.Collection Development, Cultural Heritage, and Digital Humanities SeriesMuseumsSocial aspectsMuseumsMuseumsSocial aspects.Museums.069ARC Humanities Press,fndhttp://id.loc.gov/vocabulary/relators/fndMdBmJHUPMdBmJHUPBOOK9910754085603321The Museum as Experience3601959UNINA