Tensor Spaces and Numerical Tensor Calculus

Hackbusch, Wolfgang

  • 出版商: Springer
  • 出版日期: 2020-01-24
  • 售價: $6,400
  • 貴賓價: 9.5$6,080
  • 語言: 英文
  • 頁數: 605
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 3030355535
  • ISBN-13: 9783030355531
  • 相關分類: 數值分析 Numerical-analysis
  • 海外代購書籍(需單獨結帳)

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商品描述

Part I: Algebraic Tensors.- 1 Introduction.- 2 Matrix Tools.- 3 Algebraic Foundations of Tensor Spaces.- Part II: Functional Analysis of Tensor Spaces.- 4 Banach Tensor Spaces.- 5 General Techniques.- 6 Minimal Subspaces.- Part III: Numerical Treatment.- 7 r-Term Representation.- 8 Tensor Subspace Represenation.- 9 r-Term Approximation.- 10 Tensor Subspace Approximation.- 11 Hierarchical Tensor Representation.- 12 Matrix Product Systems.- 13 Tensor Operations.- 14 Tensorisation.- 15 Multivariate Cross Approximation.- 16 Applications to Elliptic Partial Differential Equations.- 17 Miscellaneous Topics.

作者簡介

Wolfgang Hackbusch is working in the field of numerical mathematics for partial differential equations and integral equations. He has published monographs, e.g., about the multi-grid method, about the numerical analysis of elliptic pdes, about iterative solution of large systems of equation, and about the technique of hierarchical matrices.

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