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IMA Journal of Numerical Analysis, ISSN 0272-4979, 07/2017, Volume 37, Issue 3, pp. 1496 - 1519
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 01/2016, Volume 71, Issue 1, pp. 57 - 75
Operator splitting is analyzed in the general framework of Banach spaces. The convergence of sequential splitting and additive splitting is proven for problems... 
Nonlinear PDE-s | Operator splitting | Nonlinear ODE-s | Convergence | MATHEMATICS, APPLIED | CAUCHY-PROBLEMS | EQUATIONS | Analysis | School facilities | Education parks | Operators (mathematics) | Additives | Splitting | Computer simulation | Mathematical analysis | Mathematical models | Banach space
Journal Article
Mathematics of Computation of the American Mathematical Society, ISSN 0025-5718, 01/2012, Volume 81, Issue 277, pp. 267 - 276
Journal Article
Pattern Recognition Letters, ISSN 0167-8655, 2005, Volume 26, Issue 10, pp. 1461 - 1469
This paper presents an unsupervised hierarchical segmentation method for multi-phase images based on a single level set (2-phase) method and the semi-implicit... 
Hierarchical segmentation | Variational PDE | Level set methods | Image processing | Additive operator splitting | image processing | variational PDE | additive operator splitting | MUMFORD | ALGORITHMS | hierarchical segmentation | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | level set methods
Journal Article
Advanced Materials Research, ISSN 1022-6680, 09/2013, Volume 756-759, pp. 2739 - 2743
In order to solve Black-Scholes equation of basket option pricing model by numerical method. This paper used Additive Operator Splitting (AOS) algorithm to... 
Additive operator splitting (AOS) | Basket option pricing model | Difference schem | Numerical experiment | Stability
Journal Article
Mathematics of Computation of the American Mathematical Society, ISSN 0025-5718, 11/2014, Volume 83, Issue 290, pp. 2787 - 2797
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 2008, Volume 55, Issue 10, pp. 2266 - 2279
As an alternative to the classical splitting methods, two new splitting schemes have been developed recently: the additive and the iterative splitting. In this... 
Iterative splitting | Additive splitting | Stability | Diffusion-reaction problem | Preconditioning | diffusion-reaction problem | MATHEMATICS, APPLIED | iterative splitting | additive splitting | stability | preconditioning | SCHEMES | Additives | Operators | Splitting | Mathematical models | Computer simulation | Iterative methods
Journal Article
Computational Mathematics and Mathematical Physics, ISSN 0965-5425, 2/2012, Volume 52, Issue 2, pp. 235 - 244
Journal Article
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, ISSN 1815-2406, 10/2006, Volume 1, Issue 5, pp. 847 - 858
In this work, noise removal in digital images is investigated. The importance of this problem lies in the fact that removal of noise is a necessary... 
DIFFUSION | PHYSICS, MATHEMATICAL | noise removal | nonlinear PDEs | additive operator splitting (AOS)
Journal Article
International Journal of Numerical Analysis and Modeling, ISSN 1705-5105, 2014, Volume 11, Issue 2, pp. 346 - 357
In many applied problems, the individual components of the unknown vector are interconnected and therefore splitting schemes are applied in order to get a... 
Evolutionary problem | Stability of operator-difference schemes | Splitting scheme | Additive operator-difference schemes | MATHEMATICS | splitting scheme | MATHEMATICS, APPLIED | stability of operator-difference schemes | additive operator-difference schemes
Journal Article
Optical Engineering, ISSN 0091-3286, 03/2010, Volume 49, Issue 3, pp. 037004 - 037004
We propose a moving objects segmentation method for color image sequences based on the piecewise constant Mumford-Shah model (also known as the C-V model)... 
piecewise constant Mumford-Shah model | Gaussian mixture model (GMM) | segmentation | moving objects | additive operator splitting (AOS) | ACTIVE CONTOUR MODELS | OPTICS | EFFICIENT | Additives | Operators | Splitting | Segmentation | Images | Evolution | Gaussian | Mathematical models
Journal Article
Lecture Notes in Electrical Engineering, ISSN 1876-1100, 2013, Volume 224, Issue 2, pp. 655 - 661
Conference Proceeding
Computers and Mathematics with Applications, ISSN 0898-1221, 10/2017, Volume 74, Issue 8, pp. 1885 - 1896
The Swift–Hohenberg (SH) equation has been widely used as a model for the study of pattern formation. The SH equation is a fourth-order nonlinear partial... 
First- and second-order convergence | Swift–Hohenberg equation | Operator splitting method | Fourier spectral method | MATHEMATICS, APPLIED | NEURAL FIELDS | CONVECTION | Swift-Hohenberg equation | MODEL | FIELD CRYSTAL EQUATION | SPLITTING METHODS | PHASE | ADDITIVE NOISE | SYSTEMS | ALLEN-CAHN EQUATION | SCHEMES | Analysis | Methods | Differential equations
Journal Article
Numerical Algorithms, ISSN 1017-1398, 2019, Volume 83, Issue 1, pp. 57 - 98
Operator preconditioning based on decomposition into subspaces has been developed in early 90's in the works of Nepomnyaschikh, Matsokin, Oswald, Griebel,... 
Separate displacement preconditioning | Decomposition into infinite-dimensional subspaces | Operator preconditioning | Additive Schwarz methods | Multilevel methods | Stable splitting | Norm and spectral equivalence of operators | MATHEMATICS, APPLIED | ERROR ESTIMATION | ITERATIVE METHODS | MULTILEVEL
Journal Article
IEEE Transactions on Image Processing, ISSN 1057-7149, 05/2009, Volume 18, Issue 5, pp. 1097 - 1106
Journal Article
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