Splitting Methods in Communication, Imaging, Science, and Engineering

1. Introduction
Roland Glowinski, Stanley J. Osher, Wotao Yin

2. Some Facts About Operator-Splitting and Alternating Direction Methods
Roland Glowinski, Tsorng-Whay Pan, Xue-Cheng Tai

3. Operator Splitting
Shev MacNamara, Gilbert Strang

4. Convergence Rate Analysis of Several Splitting Schemes
Damek Davis, Wotao Yin

5. Self Equivalence of the Alternating Direction Method of Multipliers
Ming Yan, Wotao Yin

6. Application of the Strictly Contractive Peaceman-Rachford Splitting Method to Multi-Block Separable Convex Programming
Bingsheng He, Han Liu, Juwei Lu, Xiaoming Yuan

7. Nonconvex Sparse Regularization and Splitting Algorithms
Rick Chartrand, Wotao Yin

8. ADMM and Non-convex Variational Problems
Roland Glowinski

9. Operator Splitting Methods in Compressive Sensing and Sparse Approximation
Tom Goldstein, Xiaoqun Zhang

10. First Order Algorithms in Variational Image Processing
M. Burger, A. Sawatzky, G. Steidl

11. A Parameter Free ADI-Like Method for the Numerical Solution of Large Scale Lyapunov Equations
Danny C. Sorensen

12. Splitting Enables Overcoming the Curse of Dimensionality
Jérôme Darbon, Stanley J. Osher

13. ADMM Algorithmic Regularization Paths for Sparse Statistical Machine Learning
Yue Hu, Eric C. Chi, Genevera I. Allen

14. Decentralized Learning for Wireless Communications and Networking
Georgios B. Giannakis, Qing Ling, Gonzalo Mateos, Ioannis D. Schizas, Hao Zhu

15. Splitting Methods for SPDEs: From Robustness to Financial Engineering, Optimal Control, and Nonlinear Filtering
Christian Bayer, Harald Oberhauser

16. Application of Operator Splitting Methods in Finance
Karel in’t Hout, Jari Toivanen

17. A Numerical Method to Solve Multi-Marginal Optimal Transport Problems with Coulomb Cost
Jean-David Benamou, Guillaume Carlier, Luca Nenna

18. Robust Split-Step Fourier Methods for Simulating the Propagation of Ultra-Short Pulses in Single- and Two-Mode Optical Communication Fibers
Ralf Deiterding, Stephen W. Poole

19. Operator Splitting Methods with Error Estimator and Adaptive Time-Stepping. Application to the Simulation of Combustion Phenomena
Stéphane Descombes, Max Duarte, Marc Massot

20. Splitting Methods for Some Nonlinear Wave Problems
Annalisa Quaini, Roland Glowinski

21. Operator Splitting Algorithms for Free Surface Flows: Application to Extrusion Processes
Andrea Bonito, Alexandre Caboussat, Marco Picasso

22. An Operator Splitting Approach to the Solution of Fluid-Structure Interaction Problems in Hemodynamics
Martina Bukač, Sunčica Čanić, Boris Muha, Roland Glowinski

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
Suchung Hou, Tsorng-Whay Pan

Avainsanat: Mathematics, Computational Mathematics and Numerical Analysis, Image Processing and Computer Vision, Numerical and Computational Physics, Simulation, Optimization