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020 _a9781789452426
020 _a9781394454518
_q(electronic bk.)
041 _aeng
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.
_n2 /
_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
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 0 _aMathematics. Mathematics in engineering
505 0 _aTable of Contents Chapter 1. Solution of Differential Equations Systems that Arise During the Analysis of Complex Multicomponent Environments 1 V. BOHAIENKO, O. MARCHENKO and T. SAMOILENKO 1.1. Construction of an approximate solution of the axisymmetric parabolic problem 1 1.2. The analysis of numerical modeling of soil mass dynamics in the presence of unsteady pressure filtration 14 1.3. The analysis of numerical simulation of non-isothermal processes in soil 26 1.4. The study of soil massif state in the foundations of hydraulic structures 34 1.5. Parallel algorithm for AMLI preconditioner and its application to model soil massif state 46 1.6. References 68 Chapter 2. Computer Simulation of Transdermal Drug Delivery Using Soluble Microneedles 71 D.A. KLYUSHIN, S. LYASHKO, V.V. ONOTSKYI and O.S. BONDAR 2.1. Introduction 71 2.2. Mathematical model 72 2.3. Mathematical methods 78 2.4. Numerical experiments 80 2.5. Results and discussion 81 2.6. Conclusion 91 2.7. References 91 Chapter 3. Homogenization and Modeling of Processes in Composites Similar to Photonic Crystals 95 G.V. SANDRAKOV 3.1. Introduction 95 3.2. Composite media with periodic structures and contrast properties 98 3.3. Regular homogenized asymptotic expansions of solutions 100 3.4. Singular homogenized asymptotic expansions of solutions 107 3.5. Computational aspects of modeling by homogenization 117 3.6. Spectral aspects of modeling by homogenization 119 3.7. Conclusion 129 3.8. References 129 Chapter 4. Polynomial Operator Interpolation and its Applications 133 V.L. MAKAROV and O.F. KASHPUR 4.1. Introduction 133 4.2. Formulation of Lagrange's operator interpolation problem 135 4.3. Solution of the Lagrange's operator interpolation problem 136 4.4. Solution operator equations by the interpolation method 139 4.5. Interpolation in Euclidean spaces 143 4.6. Construction of surfaces 146 4.7. Conclusion 151 4.8. References 151 Chapter 5. New Fractional Differential Analogues of the Biparabolic Evolution Equation and Some Boundary Value Problems 155 V.M. BULAVATSKY and S. LYASHKO 5.1. Introduction 155 5.2. Some boundary value problems for the fractional–differential analogue of the biparabolic equation with non-locality in time and space 159 5.3. Generalization of the model equation based on Hilfer-type fractional derivatives 169 5.4. Fractional–differential analogue of the biparabolic evolution equation with Caputo and Caputo–Fabrizio derivatives 173 5.5. Conclusions 178 5.6. References 178 Chapter 6. Optimal Control for Integro-differential Systems of Hyperbolic Type 181 A.V. ANIKUSHYN, Kh.M. HRANISHAK, V.S. LYASHKO and O.S. BONDAR 6.1. Introduction 181 6.2. Main notations and spaces 189 6.3. Generalized control problem 191 6.4. A priori inequalities for the differential part of the operator 197 6.5. A priori inequalities for the integro-differential operator 205 6.6. Example of an optimal control problem 212 6.7. Conclusion 219 6.8. References 219 Chapter 7. Self-adaptive Operator Extrapolation Method for Operator Inclusions in Banach Space 223 V. SEMENOV and S. DENYSOV 7.1. Introduction 223 7.2. Preliminaries 227 7.3. Algorithm 231 7.4. Convergence 233 7.5. Variants 239 7.6. Application to variational inequalities 241 7.7. Conclusion 243 7.8. Acknowledgments 243 7.9. References 243 Chapter 8. Forecasting Algorithms Based on Intellectual Analysis of Polynomial Extrapolation and Divided Differences 247 Y. TURBAL, M. TURBAL and A. BOMBA 8.1. Introduction – Problem of the time series forecasting 247 8.2. Method of finding the predictive value based on a polynomial of any degree without finding the coefficients of the polynomial 249 8.3. The optimal polynomial extrapolation problem 254 8.4. Condition of forecast efficiency based on the arithmetic mean of polynomial forecasts 260 8.5. Improved algorithm for optimal polynomial forecasting 262 8.6. Numerical results of the polynomial forecast 266 8.7. Pyramidal method of extrapolation 271 8.8. Numerical results for the pyramidal methods 283 8.9. Conclusions 285 8.10. References 286 Chapter 9. Transformer with BPE Tokenization for Analysis of Interactions of Chemical Substances and Proteins 289 M. ZOZIUK, P. KRYSENKO, S. DOVGIY, V. MAKAROV, Y. YAKIMENKO and D. KOROLIOUK 9.1. Introduction 290 9.2. Methods and data 291 9.3. The model's architecture 293 9.4. The model's training 295 9.5. Conclusion 298 9.6. References 298 List of Authors 301 Index 305
588 _aDescription based on online resource; title from digital title page (viewed on June 29, 2026).
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/10.1002/9781394454518
_yFull text is available at Wiley Online Library. Click here to view.
942 _2ddc
_cER