Theory of difference equations: numerical methods and applications
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston
Academic Press
©1988
|
| Schriftenreihe: | Mathematics in science and engineering
v. 181 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Includes bibliographical references (pages 231-237) and index In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation; methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory. As a result, the book represents a blend of new methods in general computational analysis, and specific, but also generic, techniques for study of systems theory ant its particular branches, such as optimal filtering and information compression. - Best operator approximation, - Non-Lagrange interpolation, - Generic Karhunen-Loeve transform - Generalised low-rank matrix approximation - Optimal data compression - Optimal nonlinear filtering |
| Beschreibung: | 1 Online-Ressource (x, 242 pages) |
| ISBN: | 9780080958699 0080958699 0124341004 9780124341005 |
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| author | Lakshmikantham, V. |
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| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.625 |
| dewey-search | 515/.625 |
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| discipline | Mathematik |
| format | Electronic eBook |
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| spelling | Lakshmikantham, V. Verfasser aut Theory of difference equations numerical methods and applications V. Lakshmikantham, D. Trigiante Boston Academic Press ©1988 1 Online-Ressource (x, 242 pages) txt rdacontent c rdamedia cr rdacarrier Mathematics in science and engineering v. 181 Includes bibliographical references (pages 231-237) and index In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation; methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory. As a result, the book represents a blend of new methods in general computational analysis, and specific, but also generic, techniques for study of systems theory ant its particular branches, such as optimal filtering and information compression. - Best operator approximation, - Non-Lagrange interpolation, - Generic Karhunen-Loeve transform - Generalised low-rank matrix approximation - Optimal data compression - Optimal nonlinear filtering fonction matricielle équation linéaire équation différentielle méthode numérique analyse numérique théorie stabilité système linéaire équation aux différences Difference equations fast Numerical analysis fast Equations aux différences ram Analyse numérique ram Differentialgleichung swd Numerische Mathematik swd Difference equations Numerical analysis Numerische Mathematik (DE-588)4042805-9 gnd rswk-swf Differenzierung (DE-588)4121138-8 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Differenzengleichung (DE-588)4012264-5 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Differenzengleichung (DE-588)4012264-5 s Numerisches Verfahren (DE-588)4128130-5 s 1\p DE-604 Differentialgleichung (DE-588)4012249-9 s 2\p DE-604 Differenzierung (DE-588)4121138-8 s 3\p DE-604 Numerische Mathematik (DE-588)4042805-9 s 4\p DE-604 Trigiante, D. Sonstige oth http://www.sciencedirect.com/science/book/9780080958699 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Lakshmikantham, V. Theory of difference equations numerical methods and applications fonction matricielle équation linéaire équation différentielle méthode numérique analyse numérique théorie stabilité système linéaire équation aux différences Difference equations fast Numerical analysis fast Equations aux différences ram Analyse numérique ram Differentialgleichung swd Numerische Mathematik swd Difference equations Numerical analysis Numerische Mathematik (DE-588)4042805-9 gnd Differenzierung (DE-588)4121138-8 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Differenzengleichung (DE-588)4012264-5 gnd Differentialgleichung (DE-588)4012249-9 gnd |
| subject_GND | (DE-588)4042805-9 (DE-588)4121138-8 (DE-588)4128130-5 (DE-588)4012264-5 (DE-588)4012249-9 |
| title | Theory of difference equations numerical methods and applications |
| title_auth | Theory of difference equations numerical methods and applications |
| title_exact_search | Theory of difference equations numerical methods and applications |
| title_full | Theory of difference equations numerical methods and applications V. Lakshmikantham, D. Trigiante |
| title_fullStr | Theory of difference equations numerical methods and applications V. Lakshmikantham, D. Trigiante |
| title_full_unstemmed | Theory of difference equations numerical methods and applications V. Lakshmikantham, D. Trigiante |
| title_short | Theory of difference equations |
| title_sort | theory of difference equations numerical methods and applications |
| title_sub | numerical methods and applications |
| topic | fonction matricielle équation linéaire équation différentielle méthode numérique analyse numérique théorie stabilité système linéaire équation aux différences Difference equations fast Numerical analysis fast Equations aux différences ram Analyse numérique ram Differentialgleichung swd Numerische Mathematik swd Difference equations Numerical analysis Numerische Mathematik (DE-588)4042805-9 gnd Differenzierung (DE-588)4121138-8 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Differenzengleichung (DE-588)4012264-5 gnd Differentialgleichung (DE-588)4012249-9 gnd |
| topic_facet | fonction matricielle équation linéaire équation différentielle méthode numérique analyse numérique théorie stabilité système linéaire équation aux différences Difference equations Numerical analysis Equations aux différences Analyse numérique Differentialgleichung Numerische Mathematik Differenzierung Numerisches Verfahren Differenzengleichung |
| url | http://www.sciencedirect.com/science/book/9780080958699 |
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