LEADER 04959nam 22006495 450 001 9910158735903321 005 20200704233213.0 024 7 $a10.1007/978-3-319-41589-5 035 $a(CKB)3710000001008921 035 $a(MiAaPQ)EBC4777500 035 $a(DE-He213)978-3-319-41589-5 035 $a(PPN)198340656 035 $a(EXLCZ)993710000001008921 100 $a20170105d2016 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 10$aSplitting Methods in Communication, Imaging, Science, and Engineering /$fedited by Roland Glowinski, Stanley J. Osher, Wotao Yin 205 $a1st ed. 2016. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016. 215 $a1 online resource (822 pages) 225 1 $aScientific Computation,$x1434-8322 311 $a3-319-41587-5 311 $a3-319-41589-1 320 $aIncludes bibliographical references at the end of each chapters and index. 327 $aIntroduction -- 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. 330 $aThis book is about computational methods based on operator splitting. It consists of twenty-three chapters written by recognized splitting method contributors and practitioners, and covers a vast spectrum of topics and application areas, including computational mechanics, computational physics, image processing, wireless communication, nonlinear optics, and finance. Therefore, the book presents very versatile aspects of splitting methods and their applications, motivating the cross-fertilization of ideas. . 410 0$aScientific Computation,$x1434-8322 606 $aComputer mathematics 606 $aOptical data processing 606 $aPhysics 606 $aMathematical optimization 606 $aComputational Mathematics and Numerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M1400X 606 $aImage Processing and Computer Vision$3https://scigraph.springernature.com/ontologies/product-market-codes/I22021 606 $aNumerical and Computational Physics, Simulation$3https://scigraph.springernature.com/ontologies/product-market-codes/P19021 606 $aOptimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26008 615 0$aComputer mathematics. 615 0$aOptical data processing. 615 0$aPhysics. 615 0$aMathematical optimization. 615 14$aComputational Mathematics and Numerical Analysis. 615 24$aImage Processing and Computer Vision. 615 24$aNumerical and Computational Physics, Simulation. 615 24$aOptimization. 676 $a515.724 702 $aGlowinski$b Roland$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aOsher$b Stanley J$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aYin$b Wotao$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910158735903321 996 $aSplitting methods in communication, imaging, science, and engineering$91523638 997 $aUNINA