Computational methods in nonlinear analysis: efficient algorithms, fixed point theory and applications
The field of computational sciences has seen a considerable development in mathematics, engineering sciences, and economic equilibrium theory. Researchers in this field are faced with the problem of solving a variety of equations or variational inequalities. We note that in computational sciences, t...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c2013
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| Online-Zugang: | FHN01 Volltext |
| Zusammenfassung: | The field of computational sciences has seen a considerable development in mathematics, engineering sciences, and economic equilibrium theory. Researchers in this field are faced with the problem of solving a variety of equations or variational inequalities. We note that in computational sciences, the practice of numerical analysis for finding such solutions is essentially connected to variants of Newton's method. The efficient computational methods for finding the solutions of fixed point problems, nonlinear equations and variational inclusions are the first goal of the present book. The second goal is the applications of these methods in nonlinear problems and the connection with fixed point theory. This book is intended for researchers in computational sciences, and as a reference book for an advanced computational methods in nonlinear analysis. We collect the recent results on the convergence analysis of numerical algorithms in both finite-dimensional and infinite-dimensional spaces, and present several applications and connections with fixed point theory. The book contains abundant and updated bibliography, and provides comparison between various investigations made in recent years in the field of computational nonlinear analysis |
| Beschreibung: | xv, 575 p. ill. (some col.) |
| ISBN: | 9789814405836 |
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| 520 | |a The field of computational sciences has seen a considerable development in mathematics, engineering sciences, and economic equilibrium theory. Researchers in this field are faced with the problem of solving a variety of equations or variational inequalities. We note that in computational sciences, the practice of numerical analysis for finding such solutions is essentially connected to variants of Newton's method. The efficient computational methods for finding the solutions of fixed point problems, nonlinear equations and variational inclusions are the first goal of the present book. The second goal is the applications of these methods in nonlinear problems and the connection with fixed point theory. This book is intended for researchers in computational sciences, and as a reference book for an advanced computational methods in nonlinear analysis. We collect the recent results on the convergence analysis of numerical algorithms in both finite-dimensional and infinite-dimensional spaces, and present several applications and connections with fixed point theory. The book contains abundant and updated bibliography, and provides comparison between various investigations made in recent years in the field of computational nonlinear analysis | ||
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Datensatz im Suchindex
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| author | Argyros, Ioannis K. |
| author_facet | Argyros, Ioannis K. |
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| author_sort | Argyros, Ioannis K. |
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| dewey-full | 515.355 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.355 |
| dewey-search | 515.355 |
| dewey-sort | 3515.355 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV044638926 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T07:57:54Z |
| institution | BVB |
| isbn | 9789814405836 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030036898 |
| oclc_num | 1012665151 |
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| physical | xv, 575 p. ill. (some col.) |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 2013 |
| publishDateSearch | 2013 |
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| spelling | Argyros, Ioannis K. Verfasser aut Computational methods in nonlinear analysis efficient algorithms, fixed point theory and applications Ioannis K Argyros, Saïd Hilout Singapore World Scientific Pub. Co. c2013 xv, 575 p. ill. (some col.) txt rdacontent c rdamedia cr rdacarrier The field of computational sciences has seen a considerable development in mathematics, engineering sciences, and economic equilibrium theory. Researchers in this field are faced with the problem of solving a variety of equations or variational inequalities. We note that in computational sciences, the practice of numerical analysis for finding such solutions is essentially connected to variants of Newton's method. The efficient computational methods for finding the solutions of fixed point problems, nonlinear equations and variational inclusions are the first goal of the present book. The second goal is the applications of these methods in nonlinear problems and the connection with fixed point theory. This book is intended for researchers in computational sciences, and as a reference book for an advanced computational methods in nonlinear analysis. We collect the recent results on the convergence analysis of numerical algorithms in both finite-dimensional and infinite-dimensional spaces, and present several applications and connections with fixed point theory. The book contains abundant and updated bibliography, and provides comparison between various investigations made in recent years in the field of computational nonlinear analysis Nonlinear theories / Data processing Mathematics / Data processing Computerunterstütztes Verfahren (DE-588)4139030-1 gnd rswk-swf Nichtlineare Differentialgleichung (DE-588)4205536-2 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Nichtlineare Differentialgleichung (DE-588)4205536-2 s Numerisches Verfahren (DE-588)4128130-5 s Computerunterstütztes Verfahren (DE-588)4139030-1 s 1\p DE-604 Hilout, Saïd Sonstige oth Erscheint auch als Druck-Ausgabe 9789814405829 (hardcover : alk. paper) http://www.worldscientific.com/worldscibooks/10.1142/8475#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Argyros, Ioannis K. Computational methods in nonlinear analysis efficient algorithms, fixed point theory and applications Nonlinear theories / Data processing Mathematics / Data processing Computerunterstütztes Verfahren (DE-588)4139030-1 gnd Nichtlineare Differentialgleichung (DE-588)4205536-2 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| subject_GND | (DE-588)4139030-1 (DE-588)4205536-2 (DE-588)4128130-5 |
| title | Computational methods in nonlinear analysis efficient algorithms, fixed point theory and applications |
| title_auth | Computational methods in nonlinear analysis efficient algorithms, fixed point theory and applications |
| title_exact_search | Computational methods in nonlinear analysis efficient algorithms, fixed point theory and applications |
| title_full | Computational methods in nonlinear analysis efficient algorithms, fixed point theory and applications Ioannis K Argyros, Saïd Hilout |
| title_fullStr | Computational methods in nonlinear analysis efficient algorithms, fixed point theory and applications Ioannis K Argyros, Saïd Hilout |
| title_full_unstemmed | Computational methods in nonlinear analysis efficient algorithms, fixed point theory and applications Ioannis K Argyros, Saïd Hilout |
| title_short | Computational methods in nonlinear analysis |
| title_sort | computational methods in nonlinear analysis efficient algorithms fixed point theory and applications |
| title_sub | efficient algorithms, fixed point theory and applications |
| topic | Nonlinear theories / Data processing Mathematics / Data processing Computerunterstütztes Verfahren (DE-588)4139030-1 gnd Nichtlineare Differentialgleichung (DE-588)4205536-2 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| topic_facet | Nonlinear theories / Data processing Mathematics / Data processing Computerunterstütztes Verfahren Nichtlineare Differentialgleichung Numerisches Verfahren |
| url | http://www.worldscientific.com/worldscibooks/10.1142/8475#t=toc |
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