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Splitting Methods in Communication, Imaging, Science, and Engineering / edited by Roland Glowinski, Stanley J. Osher, Wotao Yin

データ種別 電子書籍
出版者 Cham : Springer International Publishing : Imprint: Springer
出版年 2016

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URL オンライン

EB2043058


書誌詳細を非表示

書誌ID OB01018625
本文言語 英語
一般注記 Introduction -- Some Facts about Operator-Splitting and Alternating Direction Methods -- Operator Splitting -- Convergence Rate Analysis of Several Splitting Schemes -- Self Equivalence of the Alternating Direction Method of Multipliers -- Application of the Strictly Contractive Peaceman-Rachford Splitting Method to Multi-block Separable Convex Programming -- Nonconvex Sparse Regularization and Splitting Algorithms -- ADMM and Non-convex Variational Problems -- Operator Splitting Methods in Compressive Sensing and Sparse Approximation -- First Order Algorithms in Variational Image Processing -- A Parameter Free ADI-like Method for the Numerical Solution of Large Scale Lyapunov Equations -- Splitting Enables Overcoming the Curse of Dimensionality -- ADMM Algorithmic Regularization Paths for Sparse Statistical Machine Learning -- Decentralized Learning for Wireless Communications and Networking -- Splitting Methods for SPDEs: From Robustness to Financial Engineering, Optimal Control and Nonlinear Filtering -- Application of Operator Splitting Methods in Finance -- A Numerical Method to Solve Multi-marginal Optimal Transport Problems with Coulomb Cost -- Robust Split-step Fourier Methods for Simulating the Propagation of Ultra-short Pulses in Single- and Two-mode Optical Communication Fibers -- Operator Splitting Methods with Error Estimator and Adaptive Time-stepping: Application to the Simulation of Combustion Phenomena -- Operator Splitting Algorithms for Free Surface Flows: Application to Extrusion Processes -- An Operator Splitting Approach to the Solution of Fluid-structure Interaction Problems with Hemodynamics -- On Circular cluster Formation in a Rotating Suspension of Non-Brownian Settling Particles in a Fully Filled Circular Cylinder: An Operator Splitting Approach to the Numerical Simulation.
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Summary: This book is about computational methods based on operator splitting. It consists of twenty-three chapters written by recognized splitting method contributors and practitioners, and covers a vast spectrum of topics and application areas, including computational mechanics, computational physics, image processing, wireless communication, nonlinear optics, and finance. Therefore, the book presents very versatile aspects of splitting methods and their applications, motivating the cross-fertilization of ideas.
著者標目 Glowinski, Roland
Osher, Stanley J
Yin, Wotao
SpringerLink (Online service)
統一書名標目 Scientific Computation,
件 名 LCSH:Mathematics
LCSH:Image processing
LCSH:Computer mathematics
LCSH:Mathematical optimization
FREE:Mathematics
FREE:Computational Mathematics and Numerical Analysis
FREE:Image Processing and Computer Vision
FREE:Numerical and Computational Physics, Simulation
FREE:Optimization
分 類 LCC:QA71-90
DC23:518
巻冊次 ISBN:9783319415895 RefWorks出力(各巻)
print ; ISBN:9783319415871 RefWorks出力(各巻)
資料種別 機械可読データファイル
所蔵情報へのリンク Splitting methods in communication, imaging, science, and engineering / Roland Glowinski, Stanley J. Osher, Wotao Yin, editors
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