Introduction to singular perturbations:
Gespeichert in:
1. Verfasser: | |
---|---|
Format: | Buch |
Sprache: | English |
Veröffentlicht: |
New York
Academic Press
1974
|
Schriftenreihe: | Applied mathematics and mechanics
14 |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | VIII, 206 S. graph. Darst. |
ISBN: | 0125259506 |
Internformat
MARC
LEADER | 00000nam a2200000 cb4500 | ||
---|---|---|---|
001 | BV001954405 | ||
003 | DE-604 | ||
005 | 20210802 | ||
007 | t | ||
008 | 890928s1974 d||| |||| 00||| eng d | ||
020 | |a 0125259506 |9 0-12-525950-6 | ||
035 | |a (OCoLC)749646 | ||
035 | |a (DE-599)BVBBV001954405 | ||
040 | |a DE-604 |b ger |e rakddb | ||
041 | 0 | |a eng | |
049 | |a DE-91G |a DE-739 |a DE-355 |a DE-29T |a DE-20 |a DE-19 |a DE-706 |a DE-188 |a DE-83 |a DE-703 | ||
050 | 0 | |a QA379 | |
082 | 0 | |a 515/.2432 |2 18 | |
082 | 0 | |a 515/.35 | |
084 | |a SK 520 |0 (DE-625)143244: |2 rvk | ||
084 | |a SK 915 |0 (DE-625)143271: |2 rvk | ||
084 | |a 34E15 |2 msc | ||
100 | 1 | |a O'Malley, Robert E. |e Verfasser |4 aut | |
245 | 1 | 0 | |a Introduction to singular perturbations |c Robert E. O'Malley |
264 | 1 | |a New York |b Academic Press |c 1974 | |
300 | |a VIII, 206 S. |b graph. Darst. | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
338 | |b nc |2 rdacarrier | ||
490 | 1 | |a Applied mathematics and mechanics |v 14 | |
650 | 4 | |a Développements asymptotiques | |
650 | 4 | |a Perturbation (Mathématiques) | |
650 | 4 | |a Problèmes aux limites - Solutions numériques | |
650 | 4 | |a Asymptotic expansions | |
650 | 4 | |a Boundary value problems |x Numerical solutions | |
650 | 4 | |a Singular perturbations (Mathematics) | |
650 | 0 | 7 | |a Differentialgleichung |0 (DE-588)4012249-9 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Störungstheorie |0 (DE-588)4128420-3 |2 gnd |9 rswk-swf |
689 | 0 | 0 | |a Störungstheorie |0 (DE-588)4128420-3 |D s |
689 | 0 | |5 DE-604 | |
689 | 1 | 0 | |a Differentialgleichung |0 (DE-588)4012249-9 |D s |
689 | 1 | |5 DE-604 | |
830 | 0 | |a Applied mathematics and mechanics |v 14 |w (DE-604)BV001889023 |9 14 | |
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=001274000&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
999 | |a oai:aleph.bib-bvb.de:BVB01-001274000 |
Datensatz im Suchindex
_version_ | 1804116396075909120 |
---|---|
adam_text | CONTENTS
Preface vii
Chapter 1. First Concerns 1
I. Examples of Singular Perturbation Problems 1
2. Asymptotic Expansions 12
3. Intuitive Approach of Matched Asymptotic Expansions 15
il 4. Two Variable Expansions 22
Chapter 2. The Regular Perturbation Method 27
Chapter 3. Linear Boundary Value Problems 35
1. Second Order Problems 35
2. Higher Order Problems 45
3. Generalizations of These Results 59
Chapter 4. Nonlinear Initial Value Problems 76
1. The Basic Problem 76
2. Two Parameter Problems 94
3. Differential Difference Equations with Small Delay 102
Chapters. Nonlinear Boundary Value Problems 115
1. Some Second Order Scalar Problems 115
(I 2. Second Order Quasi Linear Equations 119
J. 3. Quasi Linear Systems 125
4. An Extended Discussion of a Nonlinear Example 134
v
vi CONTENTS
Chapter 6. The Singularly Perturbed Linear State
Regulator Problem 139
Chapter 7. Boundary Value Problems with Multiple
Solutions Arising in Chemical Reactor Theory 157
Chapter 8. Some Turning Point Problems 168
1. A Simple Problem 168
2. A Uniform Reduction Theorem 178
3. The Boundary Value Problem 184
References 190
Index 203
|
any_adam_object | 1 |
author | O'Malley, Robert E. |
author_facet | O'Malley, Robert E. |
author_role | aut |
author_sort | O'Malley, Robert E. |
author_variant | r e o re reo |
building | Verbundindex |
bvnumber | BV001954405 |
callnumber-first | Q - Science |
callnumber-label | QA379 |
callnumber-raw | QA379 |
callnumber-search | QA379 |
callnumber-sort | QA 3379 |
callnumber-subject | QA - Mathematics |
classification_rvk | SK 520 SK 915 |
ctrlnum | (OCoLC)749646 (DE-599)BVBBV001954405 |
dewey-full | 515/.2432 515/.35 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 515 - Analysis |
dewey-raw | 515/.2432 515/.35 |
dewey-search | 515/.2432 515/.35 |
dewey-sort | 3515 42432 |
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>01964nam a2200505 cb4500</leader><controlfield tag="001">BV001954405</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20210802 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">890928s1974 d||| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0125259506</subfield><subfield code="9">0-12-525950-6</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)749646</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV001954405</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91G</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-188</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-703</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA379</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515/.2432</subfield><subfield code="2">18</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515/.35</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">SK 915</subfield><subfield code="0">(DE-625)143271:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">34E15</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">O'Malley, Robert E.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Introduction to singular perturbations</subfield><subfield code="c">Robert E. O'Malley</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York</subfield><subfield code="b">Academic Press</subfield><subfield code="c">1974</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VIII, 206 S.</subfield><subfield code="b">graph. Darst.</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">Applied mathematics and mechanics</subfield><subfield code="v">14</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Développements asymptotiques</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Perturbation (Mathématiques)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Problèmes aux limites - Solutions numériques</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Asymptotic expansions</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Boundary value problems</subfield><subfield code="x">Numerical solutions</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Singular perturbations (Mathematics)</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="650" ind1="0" ind2="7"><subfield code="a">Störungstheorie</subfield><subfield code="0">(DE-588)4128420-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Störungstheorie</subfield><subfield code="0">(DE-588)4128420-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" 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="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Applied mathematics and mechanics</subfield><subfield code="v">14</subfield><subfield code="w">(DE-604)BV001889023</subfield><subfield code="9">14</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=001274000&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:BVB01-001274000</subfield></datafield></record></collection> |
id | DE-604.BV001954405 |
illustrated | Illustrated |
indexdate | 2024-07-09T15:37:50Z |
institution | BVB |
isbn | 0125259506 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001274000 |
oclc_num | 749646 |
open_access_boolean | |
owner | DE-91G DE-BY-TUM DE-739 DE-355 DE-BY-UBR DE-29T DE-20 DE-19 DE-BY-UBM DE-706 DE-188 DE-83 DE-703 |
owner_facet | DE-91G DE-BY-TUM DE-739 DE-355 DE-BY-UBR DE-29T DE-20 DE-19 DE-BY-UBM DE-706 DE-188 DE-83 DE-703 |
physical | VIII, 206 S. graph. Darst. |
publishDate | 1974 |
publishDateSearch | 1974 |
publishDateSort | 1974 |
publisher | Academic Press |
record_format | marc |
series | Applied mathematics and mechanics |
series2 | Applied mathematics and mechanics |
spelling | O'Malley, Robert E. Verfasser aut Introduction to singular perturbations Robert E. O'Malley New York Academic Press 1974 VIII, 206 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Applied mathematics and mechanics 14 Développements asymptotiques Perturbation (Mathématiques) Problèmes aux limites - Solutions numériques Asymptotic expansions Boundary value problems Numerical solutions Singular perturbations (Mathematics) Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Störungstheorie (DE-588)4128420-3 gnd rswk-swf Störungstheorie (DE-588)4128420-3 s DE-604 Differentialgleichung (DE-588)4012249-9 s Applied mathematics and mechanics 14 (DE-604)BV001889023 14 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001274000&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | O'Malley, Robert E. Introduction to singular perturbations Applied mathematics and mechanics Développements asymptotiques Perturbation (Mathématiques) Problèmes aux limites - Solutions numériques Asymptotic expansions Boundary value problems Numerical solutions Singular perturbations (Mathematics) Differentialgleichung (DE-588)4012249-9 gnd Störungstheorie (DE-588)4128420-3 gnd |
subject_GND | (DE-588)4012249-9 (DE-588)4128420-3 |
title | Introduction to singular perturbations |
title_auth | Introduction to singular perturbations |
title_exact_search | Introduction to singular perturbations |
title_full | Introduction to singular perturbations Robert E. O'Malley |
title_fullStr | Introduction to singular perturbations Robert E. O'Malley |
title_full_unstemmed | Introduction to singular perturbations Robert E. O'Malley |
title_short | Introduction to singular perturbations |
title_sort | introduction to singular perturbations |
topic | Développements asymptotiques Perturbation (Mathématiques) Problèmes aux limites - Solutions numériques Asymptotic expansions Boundary value problems Numerical solutions Singular perturbations (Mathematics) Differentialgleichung (DE-588)4012249-9 gnd Störungstheorie (DE-588)4128420-3 gnd |
topic_facet | Développements asymptotiques Perturbation (Mathématiques) Problèmes aux limites - Solutions numériques Asymptotic expansions Boundary value problems Numerical solutions Singular perturbations (Mathematics) Differentialgleichung Störungstheorie |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001274000&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV001889023 |
work_keys_str_mv | AT omalleyroberte introductiontosingularperturbations |