Linear discrete parabolic problems (Record no. 21883)
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| 000 -LEADER | |
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| fixed length control field | 05151cam a2200661Ia 4500 |
| 001 - CONTROL NUMBER | |
| control field | ocn162587214 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20141103172226.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cn||||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 070806s2006 ne ob 001 0 eng d |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | |
| Language of cataloging | eng |
| Transcribing agency | OPELS |
| Modifying agency | OPELS |
| -- | OCLCQ |
| -- | N$T |
| -- | YDXCP |
| -- | MERUC |
| -- | E7B |
| -- | TULIB |
| -- | OCLCO |
| -- | OCLCQ |
| -- | OPELS |
| -- | OCLCF |
| -- | DEBBG |
| 019 ## - | |
| -- | 76863267 |
| -- | 647547573 |
| -- | 779919960 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780444521408 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0444521402 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0080462081 (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780080462080 (electronic bk.) |
| 029 1# - (OCLC) | |
| OCLC library identifier | NZ1 |
| System control number | 12435170 |
| 029 1# - (OCLC) | |
| OCLC library identifier | AU@ |
| System control number | 000048130514 |
| 029 1# - (OCLC) | |
| OCLC library identifier | DEBBG |
| System control number | BV039830227 |
| 029 1# - (OCLC) | |
| OCLC library identifier | AU@ |
| System control number | 000051860873 |
| 029 1# - (OCLC) | |
| OCLC library identifier | DEBBG |
| System control number | BV036962359 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)162587214 |
| Canceled/invalid control number | (OCoLC)76863267 |
| -- | (OCoLC)647547573 |
| -- | (OCoLC)779919960 |
| 037 ## - SOURCE OF ACQUISITION | |
| Stock number | 130373:130476 |
| Source of stock number/acquisition | Elsevier Science & Technology |
| Note | http://www.sciencedirect.com |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA871 |
| Item number | .B34 2006eb |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 007000 |
| Source | bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515/.392 |
| Edition number | 22 |
| 049 ## - LOCAL HOLDINGS (OCLC) | |
| Holding library | TEFA |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Bakaev, Nikolai Yu. |
| 245 10 - TITLE STATEMENT | |
| Title | Linear discrete parabolic problems |
| Medium | [electronic resource] / |
| Statement of responsibility, etc. | Nikolai Yu. Bakaev. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc. | Amsterdam ; |
| -- | Boston : |
| Name of publisher, distributor, etc. | Elsevier, |
| Date of publication, distribution, etc. | 2006. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (xv, 286 p.) |
| 490 1# - SERIES STATEMENT | |
| Series statement | North-Holland mathematics studies, |
| International Standard Serial Number | 0304-0208 ; |
| Volume/sequential designation | 203 |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | This volume introduces a unified, self-contained study of linear discrete parabolic problems through reducing the starting discrete problem to the Cauchy problem for an evolution equation in discrete time. Accessible to beginning graduate students, the book contains a general stability theory of discrete evolution equations in Banach space and gives applications of this theory to the analysis of various classes of modern discretization methods, among others, Runge-Kutta and linear multistep methods as well as operator splitting methods. Key features: * Presents a unified approach to examining discretization methods for parabolic equations. * Highlights a stability theory of discrete evolution equations (discrete semigroups) in Banach space. * Deals with both autonomous and non-autonomous equations as well as with equations with memory. * Offers a series of numerous well-posedness and convergence results for various discretization methods as applied to abstract parabolic equations; among others, Runge-Kutta and linear multistep methods as well as certain operator splitting methods. * Provides comments of results and historical remarks after each chapter. Presents a unified approach to examining discretization methods for parabolic equations. Highlights a stability theory of discrete evolution equations (discrete semigroups) in Banach space. Deals with both autonomous and non-autonomous equations as well as with equations with memory. Offers a series of numerous well-posedness and convergence results for various discretization methods as applied to abstract parabolic equations; among others, Runge-Kutta and linear multistep methods as well as certain operator splitting methods as well as certain operator splitting methods are studied in detail. Provides comments of results and historical remarks after each chapter. |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Preface. -- Part I. EVOLUTION EQUATIONS IN DISCRETE TIME. -- Preliminaries. -- Main Results on Stability. -- Operator Splitting Problems. -- Equations with Memory. -- Part II. RUNGE-KUTTA METHODS. -- Discretization by Runge-Kutta methods. -- Analysis of Stability. -- Convergence Estimates. -- Variable Stepsize Approximations. -- Part III. OTHER DISCRETIZATION METHODS. -- The/theta-method. -- Methods with Splitting Operator. -- Linear Multistep Methods. -- Part IV. INTEGRO-DIFFERENTIAL EQUATIONS UNDER DISCRETIZATION. -- Integro-Differential Equations. -- APPENDIX. -- A Functions of Linear Operators. -- B Cauchy Problems in Banach Space. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes bibliographical references (p. 269-283) and index. |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on print version record. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Stability. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Runge-Kutta formulas. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Differential equations. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Computer science |
| General subdivision | Mathematics. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | MATHEMATICS |
| General subdivision | Differential Equations |
| -- | General. |
| Source of heading or term | bisacsh |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Computer science |
| General subdivision | Mathematics. |
| Source of heading or term | fast |
| Authority record control number | (OCoLC)fst00872460 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Differential equations. |
| Source of heading or term | fast |
| Authority record control number | (OCoLC)fst00893446 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Runge-Kutta formulas. |
| Source of heading or term | fast |
| Authority record control number | (OCoLC)fst01101336 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Stability. |
| Source of heading or term | fast |
| Authority record control number | (OCoLC)fst01131203 |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Bakaev, Nikolai Yu. |
| Title | Linear discrete parabolic problems. |
| Edition | 1st ed. |
| Place, publisher, and date of publication | Amsterdam ; Boston : Elsevier, 2006 |
| International Standard Book Number | 0444521402 |
| -- | 9780444521408 |
| Record control number | (DLC) 2005055340 |
| -- | (OCoLC)62408816 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | North-Holland mathematics studies ; |
| Volume number/sequential designation | 203. |
| International Standard Serial Number | 0304-0208 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Materials specified | ScienceDirect |
| Uniform Resource Identifier | <a href="http://www.sciencedirect.com/science/book/9780444521408">http://www.sciencedirect.com/science/book/9780444521408</a> |
| 856 4# - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="http://www.sciencedirect.com/science/publication?issn=03040208&volume=203">http://www.sciencedirect.com/science/publication?issn=03040208&volume=203</a> |
| Materials specified | Volltext |
| 938 ## - | |
| -- | YBP Library Services |
| -- | YANK |
| -- | 2526439 |
| 938 ## - | |
| -- | ebrary |
| -- | EBRY |
| -- | ebr10138496 |
| 938 ## - | |
| -- | EBSCOhost |
| -- | EBSC |
| -- | 166910 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | E(electronic)-Books |
| 994 ## - | |
| -- | C0 |
| -- | TEF |
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