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005			20260629140014.0
006			m o d
007			cr cnu---unuuu
008			260626t20242024enk o 000 0 eng d
020			_a9781789451641
020			_a9781394284320 _q(electronic bk.)
020			_a9781394284344 _qelectronic book
020			_a1394284349 _qelectronic book
020			_a1394284322 _qelectronic book
041			_aeng
049			_aMAIN
050		4	_aTA345 _b.C66 2024
082	0	0	_223 _a620.00285
245	0	0	_aComputational methods and mathematical modeling in cyberphysics and engineering applications. _n1 / _ccoordinated by Dmitri Koroliouk, Sergiy Lyashko, Nikolaos Limnios.
264		1	_aLondon, UK : _bISTE Ltd ; _aHoboken, NJ : _bJohn Wiley & Sons, Inc., _c2024.
264		4	_c©2024
300			_a1 online resource (444 p.).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	0		_aMathematics. Mathematics in engineering
500			_a6.9.2. Basis pursuit problem
505	0		_aCover -- Title Page -- Copyright Page -- Contents -- Preface -- Chapter 1. The Hydrodynamic-type Equations and the Solitary Solutions -- 1.1. Introduction -- 1.2. The Korteweg-de Vries equation and the soliton solutions -- 1.3. The Korteweg-de Vries equation with a small perturbation -- 1.4. The linear WKB technique and its generalization -- 1.5. Acknowledgments -- 1.6. References -- Chapter 2. The Nonlinear WKB Technique and Asymptotic Soliton-like Solutions to the Korteweg-de Vries Equation with Variable Coefficients and Singular Perturbation -- 2.1. Introduction
505	8		_a2.2. Main notations and definitions -- 2.3. The structure of the asymptotic one-phase soliton-like solution -- 2.4. The KdV equation with quadratic singularity -- 2.5. Equations for the regular part of the asymptotics and their analysis -- 2.6. Equations for the singular part of the asymptotics and their analysis -- 2.6.1. The main term of the singular part -- 2.6.2. The higher terms of the singular part and the orthogonality condition -- 2.6.3. The orthogonality condition and the discontinuity curve -- 2.6.4. Prolongation of the singular terms from the discontinuity curve
505	8		_a2.7. Justification of the algorithm -- 2.8. Discussion and conclusion -- 2.9. Acknowledgments -- 2.10. References -- Chapter 3. Asymptotic Analysis of the vcKdV Equation with Weak Singularity -- 3.1. Introduction -- 3.2. The asymptotic soliton-like solutions -- 3.3. The examples of the asymptotic soliton-like solutions -- 3.3.1. The asymptotic step-wise solutions -- 3.3.2. The asymptotic solutions of soliton type -- 3.4. Discussion and conclusion -- 3.5. Acknowledgments -- 3.6. References -- Chapter 4. Modeling of Heterogeneous Fluid Dynamics with Phase Transitions and Porous Media
505	8		_a4.1. Introduction -- 4.2. The large particle method -- 4.3. The particle-in-cell method -- 4.4. Modeling of heterogeneous fluid dynamics -- 4.5. Modeling of heterogeneous fluid dynamics with phase transitions -- 4.6. Modeling of viscous fluid dynamics and porous media -- 4.7. References -- Chapter 5. Mathematical Models and Control of Functionally Stable Technological Process -- 5.1. Introduction -- 5.2. Analysis of production process planning procedure -- 5.3. Mathematical model of the production process management system of an industrial enterprise -- 5.4. Control design
505	8		_a5.5. Algorithm of control of production process -- 5.6. Conclusion -- 5.7. Acknowledgments -- 5.8. References -- Chapter 6. Alternative Direction Multiblock Method with Nesterov Acceleration and Its Applications -- 6.1. Introduction -- 6.2. Proximal operators -- 6.3. ADMM (alternating direction method of multipliers) -- 6.4. Bregman iteration -- 6.5. Forward-backward envelope (FBE) -- 6.6. Douglas-Rachford envelope (DRE) -- 6.7. Proximal algorithms for complex functions -- 6.8. Fast alternative directions methods -- 6.9. Numerical experiments -- 6.9.1. Exchange problem
588			_aDescription based on online resource; title from digital title page (viewed on April 24, 2024).
588	0		_aPrint version record.
650		0	_aComputer-aided engineering. _0http://id.loc.gov/authorities/subjects/sh89002586
655		4	_aElectronic books.
700	1		_aKoroliouk, Dmitri, _eeditor. _0http://id.loc.gov/authorities/names/nb2022012565
700	1		_aLyashko, Sergei I., _eeditor. _0http://id.loc.gov/authorities/names/n2001010030
700	1		_aLimnios, N. _q(Nikolaos), _eeditor. _0http://id.loc.gov/authorities/names/n98057246
856	4	0	_uhttps://onlinelibrary.wiley.com/doi/book/10.1002/9781394284344 _yFull text is available at Wiley Online Library. Click here to view.
942			_2ddc _cER