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Splitting Methods in Communication, Imaging, Science, and Engineering

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, imag...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Glowinski, Roland (Editor ), Osher, Stanley J. (Editor ), Yin, Wotao (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2016.
Edición:1st ed. 2016.
Colección:Scientific Computation,
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.