Difference equations by differential equation methods:
Most well-known solution techniques for differential equations exploit symmetry in some form. Systematic methods have been developed for finding and using symmetries, first integrals and conservation laws of a given differential equation. Here the author explains how to extend these powerful methods...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2014
|
| Series: | Cambridge monographs on applied and computational mathematics
27 |
| Subjects: | |
| Online Access: | BSB01 FHN01 Volltext |
| Summary: | Most well-known solution techniques for differential equations exploit symmetry in some form. Systematic methods have been developed for finding and using symmetries, first integrals and conservation laws of a given differential equation. Here the author explains how to extend these powerful methods to difference equations, greatly increasing the range of solvable problems. Beginning with an introduction to elementary solution methods, the book gives readers a clear explanation of exact techniques for ordinary and partial difference equations. The informal presentation is suitable for anyone who is familiar with standard differential equation methods. No prior knowledge of difference equations or symmetry is assumed. The author uses worked examples to help readers grasp new concepts easily. There are 120 exercises of varying difficulty and suggestions for further reading. The book goes to the cutting edge of research; its many new ideas and methods make it a valuable reference for researchers in the field |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Physical Description: | 1 online resource (xv, 206 pages) |
| ISBN: | 9781139016988 |
| DOI: | 10.1017/CBO9781139016988 |
Staff View
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| 505 | 8 | |a 1. Elementary method for linear O[delta]Es -- 2. Simple symmetry method for O[delta]Es -- 3. Extensions of basic symmetry methods -- 4. Lattice transformations -- 5. Solution methods for P[delta]Es -- 6. Conservation laws -- References -- Index | |
| 520 | |a Most well-known solution techniques for differential equations exploit symmetry in some form. Systematic methods have been developed for finding and using symmetries, first integrals and conservation laws of a given differential equation. Here the author explains how to extend these powerful methods to difference equations, greatly increasing the range of solvable problems. Beginning with an introduction to elementary solution methods, the book gives readers a clear explanation of exact techniques for ordinary and partial difference equations. The informal presentation is suitable for anyone who is familiar with standard differential equation methods. No prior knowledge of difference equations or symmetry is assumed. The author uses worked examples to help readers grasp new concepts easily. There are 120 exercises of varying difficulty and suggestions for further reading. The book goes to the cutting edge of research; its many new ideas and methods make it a valuable reference for researchers in the field | ||
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| author | Hydon, Peter E. 1960- |
| author_facet | Hydon, Peter E. 1960- |
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| contents | 1. Elementary method for linear O[delta]Es -- 2. Simple symmetry method for O[delta]Es -- 3. Extensions of basic symmetry methods -- 4. Lattice transformations -- 5. Solution methods for P[delta]Es -- 6. Conservation laws -- References -- Index |
| ctrlnum | (ZDB-20-CBO)CR9781139016988 (OCoLC)899982180 (DE-599)BVBBV043940949 |
| dewey-full | 515/.625 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| dewey-sort | 3515 3625 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9781139016988 |
| format | Electronic eBook |
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| id | DE-604.BV043940949 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:14Z |
| institution | BVB |
| isbn | 9781139016988 |
| language | English |
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| physical | 1 online resource (xv, 206 pages) |
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| publisher | Cambridge University Press |
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| spelling | Hydon, Peter E. 1960- Verfasser aut Difference equations by differential equation methods Peter E. Hydon, University of Surrey Cambridge Cambridge University Press 2014 1 online resource (xv, 206 pages) txt rdacontent c rdamedia cr rdacarrier Cambridge monographs on applied and computational mathematics 27 Title from publisher's bibliographic system (viewed on 05 Oct 2015) 1. Elementary method for linear O[delta]Es -- 2. Simple symmetry method for O[delta]Es -- 3. Extensions of basic symmetry methods -- 4. Lattice transformations -- 5. Solution methods for P[delta]Es -- 6. Conservation laws -- References -- Index Most well-known solution techniques for differential equations exploit symmetry in some form. Systematic methods have been developed for finding and using symmetries, first integrals and conservation laws of a given differential equation. Here the author explains how to extend these powerful methods to difference equations, greatly increasing the range of solvable problems. Beginning with an introduction to elementary solution methods, the book gives readers a clear explanation of exact techniques for ordinary and partial difference equations. The informal presentation is suitable for anyone who is familiar with standard differential equation methods. No prior knowledge of difference equations or symmetry is assumed. The author uses worked examples to help readers grasp new concepts easily. There are 120 exercises of varying difficulty and suggestions for further reading. The book goes to the cutting edge of research; its many new ideas and methods make it a valuable reference for researchers in the field Difference equations Differential equations Difference equations / Numerical solutions Differenzengleichung (DE-588)4012264-5 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Differenzengleichung (DE-588)4012264-5 s Differentialgleichung (DE-588)4012249-9 s 1\p DE-604 Erscheint auch als Druckausgabe 978-0-521-87852-4 https://doi.org/10.1017/CBO9781139016988 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Hydon, Peter E. 1960- Difference equations by differential equation methods 1. Elementary method for linear O[delta]Es -- 2. Simple symmetry method for O[delta]Es -- 3. Extensions of basic symmetry methods -- 4. Lattice transformations -- 5. Solution methods for P[delta]Es -- 6. Conservation laws -- References -- Index Difference equations Differential equations Difference equations / Numerical solutions Differenzengleichung (DE-588)4012264-5 gnd Differentialgleichung (DE-588)4012249-9 gnd |
| subject_GND | (DE-588)4012264-5 (DE-588)4012249-9 |
| title | Difference equations by differential equation methods |
| title_auth | Difference equations by differential equation methods |
| title_exact_search | Difference equations by differential equation methods |
| title_full | Difference equations by differential equation methods Peter E. Hydon, University of Surrey |
| title_fullStr | Difference equations by differential equation methods Peter E. Hydon, University of Surrey |
| title_full_unstemmed | Difference equations by differential equation methods Peter E. Hydon, University of Surrey |
| title_short | Difference equations by differential equation methods |
| title_sort | difference equations by differential equation methods |
| topic | Difference equations Differential equations Difference equations / Numerical solutions Differenzengleichung (DE-588)4012264-5 gnd Differentialgleichung (DE-588)4012249-9 gnd |
| topic_facet | Difference equations Differential equations Difference equations / Numerical solutions Differenzengleichung Differentialgleichung |
| url | https://doi.org/10.1017/CBO9781139016988 |
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