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Additive operator-difference schemes : splitting schemes / / by Petr N. Vabishchevich
| Additive operator-difference schemes : splitting schemes / / by Petr N. Vabishchevich |
| Autore | Vabishchevich P. N (Petr Nikolaevich) |
| Pubbl/distr/stampa | Berlin ; ; Boston : , : Walter de Gruyter GmbH & Co. KG, , [2014] |
| Descrizione fisica | 1 online resource (370 p.) |
| Disciplina | 515/.724 |
| Soggetto topico |
Initial value problems
Boundary value problems Differential operators Mathematical models |
| Soggetto genere / forma | Electronic books. |
| ISBN | 3-11-032146-7 |
| Classificazione | SK 920 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Preface -- Contents -- Notation -- 1. Introduction -- 2. Stability of operator-difference schemes -- 3. Operator splitting -- 4. Additive schemes of two-component splitting -- 5. Schemes of summarized approximation -- 6. Regularized additive schemes -- 7. Schemes based on approximations of a transition operator -- 8. Vector additive schemes -- 9. Iterative methods -- 10. Splitting of the operator at the time derivative -- 11 Equations with pairwise adjoint operators -- Bibliography -- Index |
| Record Nr. | UNINA-9910453789403321 |
Vabishchevich P. N (Petr Nikolaevich)
|
||
| Berlin ; ; Boston : , : Walter de Gruyter GmbH & Co. KG, , [2014] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Additive operator-difference schemes : splitting schemes / / by Petr N. Vabishchevich
| Additive operator-difference schemes : splitting schemes / / by Petr N. Vabishchevich |
| Autore | Vabishchevich P. N (Petr Nikolaevich) |
| Pubbl/distr/stampa | Berlin ; ; Boston : , : Walter de Gruyter GmbH & Co. KG, , [2014] |
| Descrizione fisica | 1 online resource (370 p.) |
| Disciplina | 515/.724 |
| Soggetto topico |
Initial value problems
Boundary value problems Differential operators Mathematical models |
| Soggetto non controllato |
Iterative Methods
Operator Splitting Regularized Additive Schemes Summarized Approximation Transition Operator Approximations Two-Component Splitting Vector Additive Schemes |
| ISBN | 3-11-032146-7 |
| Classificazione | SK 920 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Preface -- Contents -- Notation -- 1. Introduction -- 2. Stability of operator-difference schemes -- 3. Operator splitting -- 4. Additive schemes of two-component splitting -- 5. Schemes of summarized approximation -- 6. Regularized additive schemes -- 7. Schemes based on approximations of a transition operator -- 8. Vector additive schemes -- 9. Iterative methods -- 10. Splitting of the operator at the time derivative -- 11 Equations with pairwise adjoint operators -- Bibliography -- Index |
| Record Nr. | UNINA-9910790824503321 |
|
Vabishchevich P. N (Petr Nikolaevich)
|
||
| Berlin ; ; Boston : , : Walter de Gruyter GmbH & Co. KG, , [2014] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Additive operator-difference schemes : splitting schemes / / by Petr N. Vabishchevich
| Additive operator-difference schemes : splitting schemes / / by Petr N. Vabishchevich |
| Autore | Vabishchevich P. N (Petr Nikolaevich) |
| Pubbl/distr/stampa | Berlin ; ; Boston : , : Walter de Gruyter GmbH & Co. KG, , [2014] |
| Descrizione fisica | 1 online resource (370 p.) |
| Disciplina | 515/.724 |
| Soggetto topico |
Initial value problems
Boundary value problems Differential operators Mathematical models |
| Soggetto non controllato |
Iterative Methods
Operator Splitting Regularized Additive Schemes Summarized Approximation Transition Operator Approximations Two-Component Splitting Vector Additive Schemes |
| ISBN | 3-11-032146-7 |
| Classificazione | SK 920 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Preface -- Contents -- Notation -- 1. Introduction -- 2. Stability of operator-difference schemes -- 3. Operator splitting -- 4. Additive schemes of two-component splitting -- 5. Schemes of summarized approximation -- 6. Regularized additive schemes -- 7. Schemes based on approximations of a transition operator -- 8. Vector additive schemes -- 9. Iterative methods -- 10. Splitting of the operator at the time derivative -- 11 Equations with pairwise adjoint operators -- Bibliography -- Index |
| Record Nr. | UNINA-9910816360703321 |
|
Vabishchevich P. N (Petr Nikolaevich)
|
||
| Berlin ; ; Boston : , : Walter de Gruyter GmbH & Co. KG, , [2014] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Computational methods for applied inverse problems [[electronic resource] /] / edited by Yanfei Wang, Anatoly G. Yagola, Changchun Yang
| Computational methods for applied inverse problems [[electronic resource] /] / edited by Yanfei Wang, Anatoly G. Yagola, Changchun Yang |
| Pubbl/distr/stampa | Berlin, : De Gruyter, 2012 |
| Descrizione fisica | 1 online resource (552 p.) |
| Disciplina |
515
515.35 515/.35 |
| Altri autori (Persone) |
WangYanfei <1973->
YagolaA. G YangChangchun <1945-> |
| Collana | Inverse and ill-posed problems series |
| Soggetto topico |
Inverse problems (Differential equations) - Numerical solutions
Differential equations - Numerical solutions |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-283-85670-0
3-11-025905-2 |
| Classificazione | SK 920 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Preface -- Editor's Preface -- Contents -- Part I. Introduction -- Chapter 1. Inverse Problems of Mathematical Physics / Kabanikhin, S. I. -- Part II. Recent Advances in Regularization Theory and Methods -- Chapter 2. Using Parallel Computing for Solving Multidimensional Ill-posed Problems / Lukyanenko, D. V. / Yagola, A. G. -- Chapter 3. Regularization of Fredholm Integral Equations of the First Kind using Nyström Approximation / Nair, M. T. -- Chapter 4. Regularization of Numerical Differentiation: Methods and Applications / Xiao, T. Y. / Zhang, H. / Hao, L. L. -- Chapter 5. Numerical Analytic Continuation and Regularization / Fu, C. L. / Cheng, H. / Ma, Y. J. -- Chapter 6. An Optimal Perturbation Regularization Algorithm for Function Reconstruction and Its Applications / Li, G. S. -- Chapter 7. Filtering and Inverse Problems Solving / Zotov, L. V. / Panteleev, V. L. -- Part III. Optimal Inverse Design and Optimization Methods -- Chapter 8. Inverse Design of Alloys' Chemistry for Specified Thermo-Mechanical Properties by using Multi-objective Optimization / Dulikravich, G. S. / Egorov, I. N. -- Chapter 9. Two Approaches to Reduce the Parameter Identification Errors / Xiang, Z. H. -- Chapter 10. A General Convergence Result for the BFGS Method / Dai, Y. H. -- Part IV. Recent Advances in Inverse Scattering -- Chapter 11. Uniqueness Results for Inverse Scattering Problems / Liu, X. D. / Zhang, B. -- Chapter 12. Shape Reconstruction of Inverse Medium Scattering for the Helmholtz Equation / Bao, G. / Li, P. J. -- Part V. Inverse Vibration, Data Processing and Imaging -- Chapter 13. Numerical Aspects of the Calculation of Molecular Force Fields from Experimental Data / Kuramshina, G. M. / Kochikov, I. V. / Stepanova, A. V. -- Chapter 14. Some Mathematical Problems in Biomedical Imaging / Liu, J. J. / Xu, H. L. -- Part VI Numerical Inversion in Geosciences -- Chapter 15. Numerical Methods for Solving Inverse Hyperbolic Problems / Kabanikhin, S. I. / Shishlenin, M. A. -- Chapter 16. Inversion Studies in Seismic Oceanography / Song, H. B. / Huang, X. H. / Pinheiro, L. M. / Song, Y. / Dong, C. Z. / Bai, Y. -- Chapter 17. Image Resolution Beyond the Classical Limit / Gelius, L. J. -- Chapter 18. Seismic Migration and Inversion / Wang, Y. F. / Li, Z. H. / Yang, C. C. -- Chapter 19. Seismic Wavefields Interpolation Based on Sparse Regularization and Compressive Sensing / Wang, Y. F. / Cao, J. J. / Sun, T. / Yang, C. C. -- Chapter 20. Some Researches on Quantitative Remote Sensing Inversion / Yang, H. -- Index |
| Record Nr. | UNINA-9910462635203321 |
| Berlin, : De Gruyter, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Computational methods for applied inverse problems [[electronic resource] /] / edited by Yanfei Wang, Anatoly G. Yagola, Changchun Yang
| Computational methods for applied inverse problems [[electronic resource] /] / edited by Yanfei Wang, Anatoly G. Yagola, Changchun Yang |
| Pubbl/distr/stampa | Berlin, : De Gruyter, 2012 |
| Descrizione fisica | 1 online resource (552 p.) |
| Disciplina |
515
515.35 515/.35 |
| Altri autori (Persone) |
WangYanfei <1973->
YagolaA. G YangChangchun <1945-> |
| Collana | Inverse and ill-posed problems series |
| Soggetto topico |
Inverse problems (Differential equations) - Numerical solutions
Differential equations - Numerical solutions |
| Soggetto non controllato |
Computational Method
Geography Geophysics Image Processing Inverse Problem Oceanography Operator Theory Optimization Regularization Remote Sensing |
| ISBN |
1-283-85670-0
3-11-025905-2 |
| Classificazione | SK 920 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Preface -- Editor's Preface -- Contents -- Part I. Introduction -- Chapter 1. Inverse Problems of Mathematical Physics / Kabanikhin, S. I. -- Part II. Recent Advances in Regularization Theory and Methods -- Chapter 2. Using Parallel Computing for Solving Multidimensional Ill-posed Problems / Lukyanenko, D. V. / Yagola, A. G. -- Chapter 3. Regularization of Fredholm Integral Equations of the First Kind using Nyström Approximation / Nair, M. T. -- Chapter 4. Regularization of Numerical Differentiation: Methods and Applications / Xiao, T. Y. / Zhang, H. / Hao, L. L. -- Chapter 5. Numerical Analytic Continuation and Regularization / Fu, C. L. / Cheng, H. / Ma, Y. J. -- Chapter 6. An Optimal Perturbation Regularization Algorithm for Function Reconstruction and Its Applications / Li, G. S. -- Chapter 7. Filtering and Inverse Problems Solving / Zotov, L. V. / Panteleev, V. L. -- Part III. Optimal Inverse Design and Optimization Methods -- Chapter 8. Inverse Design of Alloys' Chemistry for Specified Thermo-Mechanical Properties by using Multi-objective Optimization / Dulikravich, G. S. / Egorov, I. N. -- Chapter 9. Two Approaches to Reduce the Parameter Identification Errors / Xiang, Z. H. -- Chapter 10. A General Convergence Result for the BFGS Method / Dai, Y. H. -- Part IV. Recent Advances in Inverse Scattering -- Chapter 11. Uniqueness Results for Inverse Scattering Problems / Liu, X. D. / Zhang, B. -- Chapter 12. Shape Reconstruction of Inverse Medium Scattering for the Helmholtz Equation / Bao, G. / Li, P. J. -- Part V. Inverse Vibration, Data Processing and Imaging -- Chapter 13. Numerical Aspects of the Calculation of Molecular Force Fields from Experimental Data / Kuramshina, G. M. / Kochikov, I. V. / Stepanova, A. V. -- Chapter 14. Some Mathematical Problems in Biomedical Imaging / Liu, J. J. / Xu, H. L. -- Part VI Numerical Inversion in Geosciences -- Chapter 15. Numerical Methods for Solving Inverse Hyperbolic Problems / Kabanikhin, S. I. / Shishlenin, M. A. -- Chapter 16. Inversion Studies in Seismic Oceanography / Song, H. B. / Huang, X. H. / Pinheiro, L. M. / Song, Y. / Dong, C. Z. / Bai, Y. -- Chapter 17. Image Resolution Beyond the Classical Limit / Gelius, L. J. -- Chapter 18. Seismic Migration and Inversion / Wang, Y. F. / Li, Z. H. / Yang, C. C. -- Chapter 19. Seismic Wavefields Interpolation Based on Sparse Regularization and Compressive Sensing / Wang, Y. F. / Cao, J. J. / Sun, T. / Yang, C. C. -- Chapter 20. Some Researches on Quantitative Remote Sensing Inversion / Yang, H. -- Index |
| Record Nr. | UNINA-9910786433903321 |
| Berlin, : De Gruyter, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Computational methods for applied inverse problems [[electronic resource] /] / edited by Yanfei Wang, Anatoly G. Yagola, Changchun Yang
| Computational methods for applied inverse problems [[electronic resource] /] / edited by Yanfei Wang, Anatoly G. Yagola, Changchun Yang |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Berlin, : De Gruyter, 2012 |
| Descrizione fisica | 1 online resource (552 p.) |
| Disciplina |
515
515.35 515/.35 |
| Altri autori (Persone) |
WangYanfei <1973->
YagolaA. G YangChangchun <1945-> |
| Collana | Inverse and ill-posed problems series |
| Soggetto topico |
Inverse problems (Differential equations) - Numerical solutions
Differential equations - Numerical solutions |
| Soggetto non controllato |
Computational Method
Geography Geophysics Image Processing Inverse Problem Oceanography Operator Theory Optimization Regularization Remote Sensing |
| ISBN |
1-283-85670-0
3-11-025905-2 |
| Classificazione | SK 920 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Preface -- Editor's Preface -- Contents -- Part I. Introduction -- Chapter 1. Inverse Problems of Mathematical Physics / Kabanikhin, S. I. -- Part II. Recent Advances in Regularization Theory and Methods -- Chapter 2. Using Parallel Computing for Solving Multidimensional Ill-posed Problems / Lukyanenko, D. V. / Yagola, A. G. -- Chapter 3. Regularization of Fredholm Integral Equations of the First Kind using Nyström Approximation / Nair, M. T. -- Chapter 4. Regularization of Numerical Differentiation: Methods and Applications / Xiao, T. Y. / Zhang, H. / Hao, L. L. -- Chapter 5. Numerical Analytic Continuation and Regularization / Fu, C. L. / Cheng, H. / Ma, Y. J. -- Chapter 6. An Optimal Perturbation Regularization Algorithm for Function Reconstruction and Its Applications / Li, G. S. -- Chapter 7. Filtering and Inverse Problems Solving / Zotov, L. V. / Panteleev, V. L. -- Part III. Optimal Inverse Design and Optimization Methods -- Chapter 8. Inverse Design of Alloys' Chemistry for Specified Thermo-Mechanical Properties by using Multi-objective Optimization / Dulikravich, G. S. / Egorov, I. N. -- Chapter 9. Two Approaches to Reduce the Parameter Identification Errors / Xiang, Z. H. -- Chapter 10. A General Convergence Result for the BFGS Method / Dai, Y. H. -- Part IV. Recent Advances in Inverse Scattering -- Chapter 11. Uniqueness Results for Inverse Scattering Problems / Liu, X. D. / Zhang, B. -- Chapter 12. Shape Reconstruction of Inverse Medium Scattering for the Helmholtz Equation / Bao, G. / Li, P. J. -- Part V. Inverse Vibration, Data Processing and Imaging -- Chapter 13. Numerical Aspects of the Calculation of Molecular Force Fields from Experimental Data / Kuramshina, G. M. / Kochikov, I. V. / Stepanova, A. V. -- Chapter 14. Some Mathematical Problems in Biomedical Imaging / Liu, J. J. / Xu, H. L. -- Part VI Numerical Inversion in Geosciences -- Chapter 15. Numerical Methods for Solving Inverse Hyperbolic Problems / Kabanikhin, S. I. / Shishlenin, M. A. -- Chapter 16. Inversion Studies in Seismic Oceanography / Song, H. B. / Huang, X. H. / Pinheiro, L. M. / Song, Y. / Dong, C. Z. / Bai, Y. -- Chapter 17. Image Resolution Beyond the Classical Limit / Gelius, L. J. -- Chapter 18. Seismic Migration and Inversion / Wang, Y. F. / Li, Z. H. / Yang, C. C. -- Chapter 19. Seismic Wavefields Interpolation Based on Sparse Regularization and Compressive Sensing / Wang, Y. F. / Cao, J. J. / Sun, T. / Yang, C. C. -- Chapter 20. Some Researches on Quantitative Remote Sensing Inversion / Yang, H. -- Index |
| Record Nr. | UNINA-9910812894403321 |
| Berlin, : De Gruyter, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
An introduction to identification problems via functional analysis / / A. Lorenzi
| An introduction to identification problems via functional analysis / / A. Lorenzi |
| Autore | Lorenzi A. |
| Edizione | [Reprint 2014] |
| Pubbl/distr/stampa | Utrecht ; ; Boston : , : VSP, , 2001 |
| Descrizione fisica | 1 online resource (254 pages) : illustrations |
| Disciplina | 515/.7 |
| Collana | Inverse and ill-posed problems series |
| Soggetto topico |
Inverse problems (Differential equations)
Functional analysis |
| Soggetto genere / forma | Electronic books. |
| ISBN | 3-11-094092-2 |
| Classificazione | SK 920 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface -- Contents -- Introduction -- Chapter 1. Parameter Identification In Linear Ordinary Differential Equations -- Chapter 2. Identification Problems In Hilbert Spaces -- Chapter 3. Proper Riemann Integrals For Banach-Valued Functions. Curvilinear Integrals And Banach-Valued Holomorphic Functions -- Chapter 4. Riemann-Stieltj Es Integrals Of Banach-Valued Functions -- Chapter 5. Improper Riemann Integrals For Banach Space-Valued Functions -- Chapter 6. Banach Algebras And Spectral Analysis For Linear Bounded Operators -- Chapter 7. Identifying Parameters In First-Order Partial Differential Equations -- Chapter 8. Identification Problems Relative To Linear Bounded Operators I -- Chapter 9. Identification Problems Relative To Linear Bounded Operators Ii -- Chapter 10. Analysis Of The Continuous Dependence On The Data -- Chapter 11. Linear Closed Operators And Analytic Semigroups Of Linear Bounded Operators -- Chapter 12. Cauchy Problems For Linear Abstract Differential Equations Relative To Sectorial Operators And Applications -- Chapter 13. Identification Problems For Linear Abstract Differential Equations Relative To Sectorial Operators And Applications -- Bibliography -- List of Symbols |
| Record Nr. | UNINA-9910463727703321 |
|
Lorenzi A.
|
||
| Utrecht ; ; Boston : , : VSP, , 2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
An introduction to identification problems via functional analysis / / A. Lorenzi
| An introduction to identification problems via functional analysis / / A. Lorenzi |
| Autore | Lorenzi A. |
| Edizione | [Reprint 2014] |
| Pubbl/distr/stampa | Utrecht ; ; Boston : , : VSP, , 2001 |
| Descrizione fisica | 1 online resource (254 pages) : illustrations |
| Disciplina | 515/.7 |
| Collana | Inverse and ill-posed problems series |
| Soggetto topico |
Inverse problems (Differential equations)
Functional analysis |
| Soggetto non controllato |
Differential Equations
Functional Analysis Identification of Parameters Integrodifferential Equations Inverse Problems |
| ISBN | 3-11-094092-2 |
| Classificazione | SK 920 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface -- Contents -- Introduction -- Chapter 1. Parameter Identification In Linear Ordinary Differential Equations -- Chapter 2. Identification Problems In Hilbert Spaces -- Chapter 3. Proper Riemann Integrals For Banach-Valued Functions. Curvilinear Integrals And Banach-Valued Holomorphic Functions -- Chapter 4. Riemann-Stieltj Es Integrals Of Banach-Valued Functions -- Chapter 5. Improper Riemann Integrals For Banach Space-Valued Functions -- Chapter 6. Banach Algebras And Spectral Analysis For Linear Bounded Operators -- Chapter 7. Identifying Parameters In First-Order Partial Differential Equations -- Chapter 8. Identification Problems Relative To Linear Bounded Operators I -- Chapter 9. Identification Problems Relative To Linear Bounded Operators Ii -- Chapter 10. Analysis Of The Continuous Dependence On The Data -- Chapter 11. Linear Closed Operators And Analytic Semigroups Of Linear Bounded Operators -- Chapter 12. Cauchy Problems For Linear Abstract Differential Equations Relative To Sectorial Operators And Applications -- Chapter 13. Identification Problems For Linear Abstract Differential Equations Relative To Sectorial Operators And Applications -- Bibliography -- List of Symbols |
| Record Nr. | UNINA-9910788956003321 |
|
Lorenzi A.
|
||
| Utrecht ; ; Boston : , : VSP, , 2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
An introduction to identification problems via functional analysis / / A. Lorenzi
| An introduction to identification problems via functional analysis / / A. Lorenzi |
| Autore | Lorenzi A. |
| Edizione | [Reprint 2014] |
| Pubbl/distr/stampa | Utrecht ; ; Boston : , : VSP, , 2001 |
| Descrizione fisica | 1 online resource (254 pages) : illustrations |
| Disciplina | 515/.7 |
| Collana | Inverse and ill-posed problems series |
| Soggetto topico |
Inverse problems (Differential equations)
Functional analysis |
| Soggetto non controllato |
Differential Equations
Functional Analysis Identification of Parameters Integrodifferential Equations Inverse Problems |
| ISBN | 3-11-094092-2 |
| Classificazione | SK 920 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface -- Contents -- Introduction -- Chapter 1. Parameter Identification In Linear Ordinary Differential Equations -- Chapter 2. Identification Problems In Hilbert Spaces -- Chapter 3. Proper Riemann Integrals For Banach-Valued Functions. Curvilinear Integrals And Banach-Valued Holomorphic Functions -- Chapter 4. Riemann-Stieltj Es Integrals Of Banach-Valued Functions -- Chapter 5. Improper Riemann Integrals For Banach Space-Valued Functions -- Chapter 6. Banach Algebras And Spectral Analysis For Linear Bounded Operators -- Chapter 7. Identifying Parameters In First-Order Partial Differential Equations -- Chapter 8. Identification Problems Relative To Linear Bounded Operators I -- Chapter 9. Identification Problems Relative To Linear Bounded Operators Ii -- Chapter 10. Analysis Of The Continuous Dependence On The Data -- Chapter 11. Linear Closed Operators And Analytic Semigroups Of Linear Bounded Operators -- Chapter 12. Cauchy Problems For Linear Abstract Differential Equations Relative To Sectorial Operators And Applications -- Chapter 13. Identification Problems For Linear Abstract Differential Equations Relative To Sectorial Operators And Applications -- Bibliography -- List of Symbols |
| Record Nr. | UNINA-9910820358803321 |
|
Lorenzi A.
|
||
| Utrecht ; ; Boston : , : VSP, , 2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Multiscale modeling and analysis for materials simulation [[electronic resource] /] / editors, Weizhu Bao, Qiang Du
| Multiscale modeling and analysis for materials simulation [[electronic resource] /] / editors, Weizhu Bao, Qiang Du |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, N.J., : World Scientific, c2012 |
| Descrizione fisica | 1 online resource (285 p.) |
| Disciplina |
620.11015118
620.1127 |
| Altri autori (Persone) |
BaoWeizhu
DuQiang |
| Collana | Lecture notes series / Institute for Mathematical Sciences, National University of Singapore |
| Soggetto topico |
Multiscale modeling - Computer simulation
Materials - Analysis - Mathematical models Materials - Analysis - Computer simulation |
| ISBN |
1-280-37645-7
9786613555427 981-4360-90-2 |
| Classificazione |
SK 920
SK 950 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
CONTENTS; Foreword; Preface; Dislocation Dynamics in 2 + Dimensions: Slip Planes, Thin Films, and Grain Boundaries Yang Xiang, Siu Sin Quek, Yong-Wei Zhang, Adele T. Lim and David J. Srolovitz; Contents; 1. Introduction; 2. Peierls-Nabarro models for dislocations; 2.1. Classical Peierls-Nabarro model for straight dislocations; 2.2. Generalizations of Peierls-Nabarro model for straight dislocations; 2.3. Generalizations to curved dislocations; 2.4. From the Peierls-Nabarro model to a continuum dislocation dynamics model in a slip plane
2.5. Conclusions of Peierls-Nabarro models of dislocations3. Dislocation dynamics in thin films; 3.1. Dislocation dynamics simulation in thin film: A brief review; 3.1.1. Front-tracking methods; Two dimensions; Three dimensions; 3.1.2. Phase field method; 3.1.3. Level set method; 3.2. Level set simulation of dislocation dynamics in thin films; 3.2.1. Dislocation half-loop in a stationary film; 3.2.2. Pair of coplanar identical half-loops in a stationary film; 3.2.3. Non-identical coplanar half-loops in a stationary film 3.2.4. Dislocation half-loops on intersecting glide planes in a stationary film3.2.5. Dislocation evolution during single-layer film growth; 3.2.6. Dislocation evolution during bilayer film growth; 3.3. Conclusions of dislocation dynamics in thin films; 4. Dislocation models for low-angle grain boundary migration; 4.1. Introduction to dislocation models for LAGBs; 4.2. Simulation model and method for LAGB migration; 4.2.1. 2-d dislocation dynamics for LAGB migration; 4.2.2. 3-d dislocation dynamics for LAGB migration; 4.3. 2-d dislocation dynamics simulation results 4.3.1. One set of intrinsic dislocations4.3.2. One set of intrinsic dislocations + extrinsic dislocations; 4.3.3. Two sets of intrinsic dislocations; 4.4. 3-d dislocation dynamics simulation results; 4.4.1. Two sets of intersecting intrinsic dislocations; 4.4.2. Mixed LAGB + extrinsic dislocations; 4.5. Conclusions of dislocation models for LAGB migration; 5. Conclusions; Acknowledgments; References; Introduction to Molecular Dynamics Simulations Xiantao Li; Contents; 1. Introduction; 2. Statistical mechanics basis; 2.1. Micro-canonical (NVE) ensemble; 2.2. Canonical (NVT) ensemble 2.3. Modeling canonical ensemble2.4. Linear response and dynamic quantities; 3. Numerical methods for molecular dynamics simulation; 3.1. Non-dimensionalization; 3.2. Time integration for Hamiltonian systems; 3.3. Force calculation; 3.4. Boundary conditions; 4. Non-equilibrium molecular dynamics models; 4.1. Boundary condition for non-equilibrium molecular dynamics; 4.1.1. Exact boundary condition; 4.2. Exact boundary condition; 4.2.1. Approximate boundary condition; 4.2.2. Finite temperature boundary condition; 4.3. Coarse-grained molecular dynamics model; 4.4. A one-dimensional example 5. Summary and discussions |
| Record Nr. | UNINA-9910778818003321 |
| Singapore ; ; Hackensack, N.J., : World Scientific, c2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
