Solution of differential equations by means of one-parameter groups:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boston ; London ; Melbourne
Pitman Advanced Publishing Program
1982
|
| Schriftenreihe: | Research Notes in Mathematics
63 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 161 Seiten |
| ISBN: | 0273085069 0858968932 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV000239351 | ||
| 003 | DE-604 | ||
| 005 | 20220804 | ||
| 007 | t | ||
| 008 | 870612s1982 |||| 00||| eng d | ||
| 020 | |a 0273085069 |9 0-273-08506-9 | ||
| 020 | |a 0858968932 |9 0-85896-893-2 | ||
| 035 | |a (OCoLC)8218940 | ||
| 035 | |a (DE-599)BVBBV000239351 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-384 |a DE-355 |a DE-824 |a DE-83 |a DE-188 | ||
| 050 | 0 | |a QA371 | |
| 082 | 0 | |a 515.3/5 |2 19 | |
| 084 | |a SI 880 |0 (DE-625)143209: |2 rvk | ||
| 084 | |a SK 520 |0 (DE-625)143244: |2 rvk | ||
| 084 | |a 35Axx |2 msc | ||
| 084 | |a 34Axx |2 msc | ||
| 084 | |a 57Sxx |2 msc | ||
| 100 | 1 | |a Hill, James Madison |0 (DE-588)115749868X |4 aut | |
| 245 | 1 | 0 | |a Solution of differential equations by means of one-parameter groups |c J M Hill ; University of Wollongong |
| 264 | 1 | |a Boston ; London ; Melbourne |b Pitman Advanced Publishing Program |c 1982 | |
| 300 | |a 161 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Research Notes in Mathematics |v 63 | |
| 650 | 4 | |a Groupes, Théorie des | |
| 650 | 4 | |a Équations différentielles - Solutions numériques | |
| 650 | 4 | |a Differential equations |x Numerical solutions | |
| 650 | 4 | |a Group theory | |
| 650 | 0 | 7 | |a Gruppentheorie |0 (DE-588)4072157-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Differentialgleichung |0 (DE-588)4012249-9 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Differentialgleichung |0 (DE-588)4012249-9 |D s |
| 689 | 0 | 1 | |a Gruppentheorie |0 (DE-588)4072157-7 |D s |
| 689 | 0 | |5 DE-604 | |
| 830 | 0 | |a Research Notes in Mathematics |v 63 |w (DE-604)BV000000039 |9 63 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000143712&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-000143712 | ||
Datensatz im Suchindex
| _version_ | 1804114702087749632 |
|---|---|
| adam_text | Contents
1. Introduction 1
1.1 Ordinary differential equations 1
1.2 Partial differential equations 6
Problems 9
2. One parameter groups and Lie series 12
2.1 One parameter transformation groups 12
2.2 Lie series and the commutation theorem 18
Problems 21
3. Invarianoe of standard linear equations 26
3.1 First order equation y + p(x)y = q(x) 26
3.2 Second order homogeneous equation y + p(x)y =0 30
3.3 Third order homogeneous equation y + p(x)y + q(x)y = 0 33
3.4 Fourth order self adjoint equation y + [p(x)y ] + q(x)y =0 36
Problems 39
4. First order differential equations 48
4.1 Infinitesimal versions of y and y = F(x,y) and the
fundamental problem 49
4.2 Integrating factors and canonical coordinates for y = F(x,y) 51
4.3 The alternative problem 55
4.4 The fundamental problem and singular solutions of y = F(x,y) 58
4.5 Invariance of the associated first order partial differential
equation 59
4.6 Lie s problem and area preserving groups 62
Problems 66
5. Second and higher order differencial equations 11
5.1 Infinitesimal versions of y and y = F(x,y,y ) 77
5.2 Examples of the determination of £(x,y) and r|(x,y) 79
5.3 Determination of the most general differential equation
invariant under a given one parameter group 83
5.4 Applications 87
Problems 92
6. Linear partial differential equations 97
6.1 Formulae for partial derivatives 99
6.2 Classical groups for the diffusion equation 101
6.3 Simple examples for the diffusion equation 103
6.4 Moving boundary problems 105
6.5 Fokker Planck equation 109
6.6 Examples for the Fokker Planck equation 116
6.7 Non classical groups for the diffusion equation 120
Problems 123
7. Non linear partial differential equations 135
7.1 Formulae for partial derivatives 136
7.2 Classical groups for non linear diffusion 140
7.3 Non classical groups for non linear diffusion 146
7.4 Transformations of the non linear diffusion equation 148
Problems 150
References 159
|
| any_adam_object | 1 |
| author | Hill, James Madison |
| author_GND | (DE-588)115749868X |
| author_facet | Hill, James Madison |
| author_role | aut |
| author_sort | Hill, James Madison |
| author_variant | j m h jm jmh |
| building | Verbundindex |
| bvnumber | BV000239351 |
| callnumber-first | Q - Science |
| callnumber-label | QA371 |
| callnumber-raw | QA371 |
| callnumber-search | QA371 |
| callnumber-sort | QA 3371 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 880 SK 520 |
| ctrlnum | (OCoLC)8218940 (DE-599)BVBBV000239351 |
| dewey-full | 515.3/5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.3/5 |
| dewey-search | 515.3/5 |
| dewey-sort | 3515.3 15 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01931nam a2200493 cb4500</leader><controlfield tag="001">BV000239351</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20220804 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">870612s1982 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0273085069</subfield><subfield code="9">0-273-08506-9</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0858968932</subfield><subfield code="9">0-85896-893-2</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)8218940</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV000239351</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA371</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515.3/5</subfield><subfield code="2">19</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 880</subfield><subfield code="0">(DE-625)143209:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 520</subfield><subfield code="0">(DE-625)143244:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">35Axx</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">34Axx</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">57Sxx</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Hill, James Madison</subfield><subfield code="0">(DE-588)115749868X</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Solution of differential equations by means of one-parameter groups</subfield><subfield code="c">J M Hill ; University of Wollongong</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Boston ; London ; Melbourne</subfield><subfield code="b">Pitman Advanced Publishing Program</subfield><subfield code="c">1982</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">161 Seiten</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Research Notes in Mathematics</subfield><subfield code="v">63</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Groupes, Théorie des</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Équations différentielles - Solutions numériques</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Differential equations</subfield><subfield code="x">Numerical solutions</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Group theory</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Gruppentheorie</subfield><subfield code="0">(DE-588)4072157-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Differentialgleichung</subfield><subfield code="0">(DE-588)4012249-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Differentialgleichung</subfield><subfield code="0">(DE-588)4012249-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Gruppentheorie</subfield><subfield code="0">(DE-588)4072157-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Research Notes in Mathematics</subfield><subfield code="v">63</subfield><subfield code="w">(DE-604)BV000000039</subfield><subfield code="9">63</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000143712&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-000143712</subfield></datafield></record></collection> |
| id | DE-604.BV000239351 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:10:55Z |
| institution | BVB |
| isbn | 0273085069 0858968932 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000143712 |
| oclc_num | 8218940 |
| open_access_boolean | |
| owner | DE-12 DE-384 DE-355 DE-BY-UBR DE-824 DE-83 DE-188 |
| owner_facet | DE-12 DE-384 DE-355 DE-BY-UBR DE-824 DE-83 DE-188 |
| physical | 161 Seiten |
| publishDate | 1982 |
| publishDateSearch | 1982 |
| publishDateSort | 1982 |
| publisher | Pitman Advanced Publishing Program |
| record_format | marc |
| series | Research Notes in Mathematics |
| series2 | Research Notes in Mathematics |
| spelling | Hill, James Madison (DE-588)115749868X aut Solution of differential equations by means of one-parameter groups J M Hill ; University of Wollongong Boston ; London ; Melbourne Pitman Advanced Publishing Program 1982 161 Seiten txt rdacontent n rdamedia nc rdacarrier Research Notes in Mathematics 63 Groupes, Théorie des Équations différentielles - Solutions numériques Differential equations Numerical solutions Group theory Gruppentheorie (DE-588)4072157-7 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 s Gruppentheorie (DE-588)4072157-7 s DE-604 Research Notes in Mathematics 63 (DE-604)BV000000039 63 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000143712&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hill, James Madison Solution of differential equations by means of one-parameter groups Research Notes in Mathematics Groupes, Théorie des Équations différentielles - Solutions numériques Differential equations Numerical solutions Group theory Gruppentheorie (DE-588)4072157-7 gnd Differentialgleichung (DE-588)4012249-9 gnd |
| subject_GND | (DE-588)4072157-7 (DE-588)4012249-9 |
| title | Solution of differential equations by means of one-parameter groups |
| title_auth | Solution of differential equations by means of one-parameter groups |
| title_exact_search | Solution of differential equations by means of one-parameter groups |
| title_full | Solution of differential equations by means of one-parameter groups J M Hill ; University of Wollongong |
| title_fullStr | Solution of differential equations by means of one-parameter groups J M Hill ; University of Wollongong |
| title_full_unstemmed | Solution of differential equations by means of one-parameter groups J M Hill ; University of Wollongong |
| title_short | Solution of differential equations by means of one-parameter groups |
| title_sort | solution of differential equations by means of one parameter groups |
| topic | Groupes, Théorie des Équations différentielles - Solutions numériques Differential equations Numerical solutions Group theory Gruppentheorie (DE-588)4072157-7 gnd Differentialgleichung (DE-588)4012249-9 gnd |
| topic_facet | Groupes, Théorie des Équations différentielles - Solutions numériques Differential equations Numerical solutions Group theory Gruppentheorie Differentialgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000143712&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000039 |
| work_keys_str_mv | AT hilljamesmadison solutionofdifferentialequationsbymeansofoneparametergroups |