The cell method : (Record no. 75952)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 05462cam a2200829 i 4500 |
| 001 - CONTROL NUMBER | |
| control field | vtls000079403 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MTX |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m eo d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cn |||m|||a |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 160715s2014 nyua foab 001 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781606506066 |
| Qualifying information | electronic |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 1606506064 |
| Qualifying information | electronic |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9781606506042 |
| Qualifying information | |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 1606506048 |
| Qualifying information | |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.5643/9781606506066 |
| Source of number or code | doi |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)10841488 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)870904465 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaBNvSL)swl00403208 |
| 039 #9 - LEVEL OF BIBLIOGRAPHIC CONTROL AND CODING DETAIL [OBSOLETE] | |
| Level of rules in bibliographic description | 201607151145 |
| Level of effort used to assign nonsubject heading access points | staff |
| -- | 201605041228 |
| -- | admin |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | CaBNVSL |
| Language of cataloging | eng |
| Description conventions | rda |
| Transcribing agency | CaBNVSL |
| Modifying agency | CaBNVSL |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QC20 |
| Item number | .F473 2014 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 511.6 |
| Edition number | 23 |
| 099 ## - LOCAL FREE-TEXT CALL NUMBER (OCLC) | |
| Classification number | Ebook |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Ferretti, Elena., |
| Relator term | author. |
| 9 (RLIN) | 115951 |
| 245 14 - TITLE STATEMENT | |
| Title | The cell method : |
| Remainder of title | a purely algebraic computational method in physics and engineering / |
| Statement of responsibility, etc. | Elena Ferretti. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | New York, [New York] (222 East 46th Street, New York, NY 10017) : |
| Name of producer, publisher, distributor, manufacturer | Momentum Press, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2014. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (xii, 230 pages) : |
| Other physical details | illustrations. |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Source | rdacarrier |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc. note | Includes bibliographical references (pages 215-226) and index. |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 1. A comparison between algebraic and differential formulations under the geometrical and topological viewpoints -- 1.1 Relationship between how to compute limits and numerical formulations in computational physics -- 1.2 Field and global variables -- 1.3 Set functions in physics -- 1.4 A comparison between the cell method and the discrete methods -- |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 2. Algebra and the geometric interpretation of vector spaces -- 2.1 The exterior algebra -- 2.2 The geometric algebra -- |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 3. Algebraic topology as a tool for treating global variables with the CM -- 3.1 Some notions of algebraic topology -- 3.2 Simplices and simplicial complexes -- 3.3 Faces and cofaces -- 3.4 Some notions of the graph theory -- 3.5 Boundaries, coboundaries, and the incidence matrices -- 3.6 Chains and cochains complexes, boundary and coboundary processes -- 3.7 Discrete p-forms -- 3.8 Inner and outer orientations of time elements -- |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 4. Classification of the global variables and their relationships -- 4.1 Configuration, source, and energetic variables -- 4.2 The mathematical structure of the classification diagram -- 4.3 The incidence matrices of the two cell complexes in space domain -- 4.4 Primal and dual cell complexes in space/time domain and their incidence matrices -- |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 5. The structure of the governing equations in the cell method -- 5.1 The role of the coboundary process in the algebraic formulation -- 5.2 How to compose the fundamental equation of a physical theory -- 5.3 Analogies in physics -- 5.4 Physical theories with reversible constitutive laws -- 5.5 The choice of primal and dual cell complexes in computation -- |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 6. The problem of the spurious solutions in computational physics -- 6.1 Stability and instability of the numerical solution -- 6.2 The need for non-local models in quantum physics -- 6.3 Non-local computational models in differential formulation -- 6.3.1 Continuum mechanics -- 6.4 Algebraic non-locality of the CM -- |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | References -- Index. |
| 506 ## - RESTRICTIONS ON ACCESS NOTE | |
| Terms governing access | Restricted to libraries which purchase an unrestricted PDF download via an IP. |
| 520 3# - SUMMARY, ETC. | |
| Summary, etc. | The cell method (CM) is a computational tool that maintains critical multidimensional attributes of physical phenomena in analysis. This information is neglected in the differential formulations of the classical approaches of finite element, boundary element, finite volume, and finite difference analysis, often leading to numerical instabilities and spurious results. This book highlights the central theoretical concepts of the CM that preserve a more accurate and precise representation of the geometric and topological features of variables for practical problem solving. Important applications occur in fields such as electromagnetics, electrodynamics, solid mechanics and fluids. CM addresses non-locality in continuum mechanics, an especially important circumstance in modeling heterogeneous materials. |
| 530 ## - ADDITIONAL PHYSICAL FORM AVAILABLE NOTE | |
| Additional physical form available note | Also available in print. |
| 538 ## - SYSTEM DETAILS NOTE | |
| System details note | Mode of access: World Wide Web. |
| 538 ## - SYSTEM DETAILS NOTE | |
| System details note | System requirements: Adobe Acrobat reader. |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Title from PDF title page (viewed on March 9, 2014). |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Mathematical physics. |
| 9 (RLIN) | 42233 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Engineering mathematics. |
| 9 (RLIN) | 26640 |
| 653 ## - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | Cell method |
| 653 ## - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | heterogeneous materials |
| 653 ## - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | non-local models |
| 653 ## - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | non-standard analysis |
| 653 ## - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | bialgebra |
| 653 ## - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | Clifford algebra |
| 653 ## - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | discrete formulations |
| 653 ## - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | fracture mechanics |
| 653 ## - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | electromagnetics |
| 653 ## - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | electrodynamics |
| 653 ## - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | solid mechanics |
| 653 ## - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | fluid mechanics |
| 653 ## - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | space-time continuum |
| 653 ## - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | numerical instabilities |
| 653 ## - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | topological features of variables |
| 653 ## - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | graph theory |
| 653 ## - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | coboundary process |
| 653 ## - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | finite element method |
| 653 ## - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | boundary element method |
| 653 ## - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | finite volume method |
| 653 ## - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | finite difference method |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| International Standard Book Number | 1606506048 |
| -- | 9781606506042 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="http://portal.igpublish.com/iglibrary/search/MPB0000092.html">http://portal.igpublish.com/iglibrary/search/MPB0000092.html</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | eBook |
No items available.
