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20260629141331.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION |
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| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781789452426 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781394454518 |
| Qualifying information |
(electronic bk.) |
| 041 ## - LANGUAGE CODE |
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| Language code of text/sound track or separate title |
eng |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
TA345 |
| Item number |
.C66 2024 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Edition number |
23 |
| Classification number |
620.00285 |
| 245 00 - TITLE STATEMENT |
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| Title |
Computational methods and mathematical modeling in cyberphysics and engineering applications. |
| Number of part/section of a work |
2 / |
| Statement of responsibility, etc |
coordinated by Dmitri Koroliouk, Sergiy Lyashko, Nikolaos Limnios. |
| 264 #1 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
|---|
| Place of publication, distribution, etc |
London, UK : |
| Name of publisher, distributor, etc |
ISTE Ltd ; |
| Place of publication, distribution, etc |
Hoboken, NJ : |
| Name of publisher, distributor, etc |
John Wiley & Sons, Inc., |
| Date of publication, distribution, etc |
2024. |
| 264 #4 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
|---|
| Date of publication, distribution, etc |
©2024 |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
1 online resource |
| 336 ## - CONTENT TYPE |
|---|
| Content type term |
text |
| Content type code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
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| Media type term |
computer |
| Media type code |
c |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
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| Carrier type term |
online resource |
| Carrier type code |
cr |
| Source |
rdacarrier |
| 490 0# - SERIES STATEMENT |
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| Series statement |
Mathematics. Mathematics in engineering |
| 505 0# - CONTENTS |
|---|
| Formatted contents note |
Table of Contents<br/>Chapter 1. Solution of Differential Equations Systems that Arise During the Analysis of Complex Multicomponent Environments 1<br/>V. BOHAIENKO, O. MARCHENKO and T. SAMOILENKO<br/><br/>1.1. Construction of an approximate solution of the axisymmetric parabolic problem 1<br/>1.2. The analysis of numerical modeling of soil mass dynamics in the presence of unsteady pressure filtration 14<br/>1.3. The analysis of numerical simulation of non-isothermal processes in soil 26<br/>1.4. The study of soil massif state in the foundations of hydraulic structures 34<br/>1.5. Parallel algorithm for AMLI preconditioner and its application to model soil massif state 46<br/>1.6. References 68<br/><br/>Chapter 2. Computer Simulation of Transdermal Drug Delivery Using Soluble Microneedles 71<br/>D.A. KLYUSHIN, S. LYASHKO, V.V. ONOTSKYI and O.S. BONDAR<br/><br/>2.1. Introduction 71<br/>2.2. Mathematical model 72<br/>2.3. Mathematical methods 78<br/>2.4. Numerical experiments 80<br/>2.5. Results and discussion 81<br/>2.6. Conclusion 91<br/>2.7. References 91<br/><br/>Chapter 3. Homogenization and Modeling of Processes in Composites Similar to Photonic Crystals 95<br/>G.V. SANDRAKOV<br/><br/>3.1. Introduction 95<br/>3.2. Composite media with periodic structures and contrast properties 98<br/>3.3. Regular homogenized asymptotic expansions of solutions 100<br/>3.4. Singular homogenized asymptotic expansions of solutions 107<br/>3.5. Computational aspects of modeling by homogenization 117<br/>3.6. Spectral aspects of modeling by homogenization 119<br/>3.7. Conclusion 129<br/>3.8. References 129<br/><br/>Chapter 4. Polynomial Operator Interpolation and its Applications 133<br/>V.L. MAKAROV and O.F. KASHPUR<br/><br/>4.1. Introduction 133<br/>4.2. Formulation of Lagrange's operator interpolation problem 135<br/>4.3. Solution of the Lagrange's operator interpolation problem 136<br/>4.4. Solution operator equations by the interpolation method 139<br/>4.5. Interpolation in Euclidean spaces 143<br/>4.6. Construction of surfaces 146<br/>4.7. Conclusion 151<br/>4.8. References 151<br/><br/>Chapter 5. New Fractional Differential Analogues of the Biparabolic Evolution Equation and Some Boundary Value Problems 155<br/>V.M. BULAVATSKY and S. LYASHKO<br/><br/>5.1. Introduction 155<br/>5.2. Some boundary value problems for the fractional–differential analogue of the biparabolic equation with non-locality in time and space 159<br/>5.3. Generalization of the model equation based on Hilfer-type fractional derivatives 169<br/>5.4. Fractional–differential analogue of the biparabolic evolution equation with Caputo and Caputo–Fabrizio derivatives 173<br/>5.5. Conclusions 178<br/>5.6. References 178<br/><br/>Chapter 6. Optimal Control for Integro-differential Systems of Hyperbolic Type 181<br/>A.V. ANIKUSHYN, Kh.M. HRANISHAK, V.S. LYASHKO and O.S. BONDAR<br/><br/>6.1. Introduction 181<br/>6.2. Main notations and spaces 189<br/>6.3. Generalized control problem 191<br/>6.4. A priori inequalities for the differential part of the operator 197<br/>6.5. A priori inequalities for the integro-differential operator 205<br/>6.6. Example of an optimal control problem 212<br/>6.7. Conclusion 219<br/>6.8. References 219<br/><br/>Chapter 7. Self-adaptive Operator Extrapolation Method for Operator Inclusions in Banach Space 223<br/>V. SEMENOV and S. DENYSOV<br/><br/>7.1. Introduction 223<br/>7.2. Preliminaries 227<br/>7.3. Algorithm 231<br/>7.4. Convergence 233<br/>7.5. Variants 239<br/>7.6. Application to variational inequalities 241<br/>7.7. Conclusion 243<br/>7.8. Acknowledgments 243<br/>7.9. References 243<br/><br/>Chapter 8. Forecasting Algorithms Based on Intellectual Analysis of Polynomial Extrapolation and Divided Differences 247<br/>Y. TURBAL, M. TURBAL and A. BOMBA<br/><br/>8.1. Introduction – Problem of the time series forecasting 247<br/>8.2. Method of finding the predictive value based on a polynomial of any degree without finding the coefficients of the polynomial 249<br/>8.3. The optimal polynomial extrapolation problem 254<br/>8.4. Condition of forecast efficiency based on the arithmetic mean of polynomial forecasts 260<br/>8.5. Improved algorithm for optimal polynomial forecasting 262<br/>8.6. Numerical results of the polynomial forecast 266<br/>8.7. Pyramidal method of extrapolation 271<br/>8.8. Numerical results for the pyramidal methods 283<br/>8.9. Conclusions 285<br/>8.10. References 286<br/><br/>Chapter 9. Transformer with BPE Tokenization for Analysis of Interactions of Chemical Substances and Proteins 289<br/>M. ZOZIUK, P. KRYSENKO, S. DOVGIY, V. MAKAROV, Y. YAKIMENKO and D. KOROLIOUK<br/><br/>9.1. Introduction 290<br/>9.2. Methods and data 291<br/>9.3. The model's architecture 293<br/>9.4. The model's training 295<br/>9.5. Conclusion 298<br/>9.6. References 298<br/><br/>List of Authors 301<br/>Index 305 |
| 588 ## - SOURCE OF DESCRIPTION NOTE |
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| Source of description note |
Description based on online resource; title from digital title page (viewed on June 29, 2026). |
| 588 0# - SOURCE OF DESCRIPTION NOTE |
|---|
| Source of description note |
Print version record. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Computer-aided engineering. |
| Authority record control number |
http://id.loc.gov/authorities/subjects/sh89002586 |
| 655 #4 - INDEX TERM--GENRE/FORM |
|---|
| Genre/form data or focus term |
Electronic books. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Koroliouk, Dmitri, |
| Relator term |
editor. |
| Authority record control number |
http://id.loc.gov/authorities/names/nb2022012565 |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Lyashko, Sergei I., |
| Relator term |
editor. |
| Authority record control number |
http://id.loc.gov/authorities/names/n2001010030 |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Limnios, N. |
| Fuller form of name |
(Nikolaos), |
| Relator term |
editor. |
| Authority record control number |
http://id.loc.gov/authorities/names/n98057246 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
https://onlinelibrary.wiley.com/doi/book/10.1002/9781394454518 |
| Link text |
Full text is available at Wiley Online Library. Click here to view. |
| 942 ## - ADDED ENTRY ELEMENTS |
|---|
| Source of classification or shelving scheme |
|
| Item type |
EBOOK |