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Splitting Methods in Communication, Imaging, Science, and Engineering

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Cover of 'Splitting Methods in Communication, Imaging, Science, and Engineering'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Some Facts About Operator-Splitting and Alternating Direction Methods
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    Chapter 3 Operator Splitting
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    Chapter 4 Convergence Rate Analysis of Several Splitting Schemes
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    Chapter 5 Self Equivalence of the Alternating Direction Method of Multipliers
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    Chapter 6 Application of the Strictly Contractive Peaceman-Rachford Splitting Method to Multi-Block Separable Convex Programming
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    Chapter 7 Nonconvex Sparse Regularization and Splitting Algorithms
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    Chapter 8 ADMM and Non-convex Variational Problems
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    Chapter 9 Operator Splitting Methods in Compressive Sensing and Sparse Approximation
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    Chapter 10 First Order Algorithms in Variational Image Processing
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    Chapter 11 A Parameter Free ADI-Like Method for the Numerical Solution of Large Scale Lyapunov Equations
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    Chapter 12 Splitting Enables Overcoming the Curse of Dimensionality
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    Chapter 13 ADMM Algorithmic Regularization Paths for Sparse Statistical Machine Learning
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    Chapter 14 Decentralized Learning for Wireless Communications and Networking
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    Chapter 15 Splitting Methods for SPDEs: From Robustness to Financial Engineering, Optimal Control, and Nonlinear Filtering
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    Chapter 16 Application of Operator Splitting Methods in Finance
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    Chapter 17 A Numerical Method to Solve Multi-Marginal Optimal Transport Problems with Coulomb Cost
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    Chapter 18 Robust Split-Step Fourier Methods for Simulating the Propagation of Ultra-Short Pulses in Single- and Two-Mode Optical Communication Fibers
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    Chapter 19 Operator Splitting Methods with Error Estimator and Adaptive Time-Stepping. Application to the Simulation of Combustion Phenomena
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    Chapter 20 Splitting Methods for Some Nonlinear Wave Problems
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    Chapter 21 Operator Splitting Algorithms for Free Surface Flows: Application to Extrusion Processes
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    Chapter 22 An Operator Splitting Approach to the Solution of Fluid-Structure Interaction Problems in Hemodynamics
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    Chapter 23 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
Attention for Chapter 20: Splitting Methods for Some Nonlinear Wave Problems
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Chapter title
Splitting Methods for Some Nonlinear Wave Problems
Chapter number 20
Book title
Splitting Methods in Communication, Imaging, Science, and Engineering
Published by
Springer International Publishing, January 2017
DOI 10.1007/978-3-319-41589-5_20
Book ISBNs
978-3-31-941587-1, 978-3-31-941589-5
Authors

Annalisa Quaini, Roland Glowinski

Editors

Roland Glowinski, Stanley J. Osher, Wotao Yin