Defect minimization in operator equations: theory and applications
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Harlow
Longman
1987
|
| Edition: | 1. publ. |
| Series: | Pitman research notes in mathematics series
163 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 106 S. |
| ISBN: | 0582003172 0470208775 |
Staff View
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| 245 | 1 | 0 | |a Defect minimization in operator equations |b theory and applications |c R. Reemtsen |
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| 650 | 4 | |a Approximation theory | |
| 650 | 4 | |a Operator equations, Nonlinear |x Numerical solutions | |
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Record in the Search Index
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|---|---|
| adam_text | Contents
CHAPTER 1: THEORY 1
1. The problem 1
2. The method of minimizing the defects 1
3. Convergence of the method 3
4. The inverse boundedness condition 3
5. Existence of solutions to (Pn) 5
6. Error bounds 8
7. On the rate of convergence 9
8. Discretization of (Pn) in case Y = C(B) 10
8.1. Linear operators 20
8.2. Nonlinear operators 21
8.2.1. The case p = °° 22
8.2.2. The case 1 p °° 24
9. Numerical aspects of the method for the case Y=C(B) 27
10. Monotone operators 28
CHAPTER 2: APPLICATIONS 32
11. Ordinary differential equations 32
11.1. Linear boundary value problems of second order 34
11.2. The first order initial value problem 38
11.3. A second order boundary value problem 47
12. A well posed problem for the heat equation:
A Stefan problem 52
13. An ill posed problem for the heat equation:
The inverse Stefan problem 66
13.1. The case r = l 77
APPENDIX 84
14. Stability theorems for the classical one dimensional
Stefan problem 84
14.1. Neumann data 86
14.2. Dirichlet data 91
14.2.1. The case b 0 91
14.2.2. The case b = 0 96
REFERENCES 100
|
| any_adam_object | 1 |
| author | Reemtsen, Rembert 1951- |
| author_GND | (DE-588)142698954 |
| author_facet | Reemtsen, Rembert 1951- |
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| author_sort | Reemtsen, Rembert 1951- |
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| bvnumber | BV002290854 |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 880 SK 620 |
| classification_tum | MAT 474f |
| ctrlnum | (OCoLC)15630724 (DE-599)BVBBV002290854 |
| dewey-full | 515.7/242 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.7/242 |
| dewey-search | 515.7/242 |
| dewey-sort | 3515.7 3242 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. publ. |
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| id | DE-604.BV002290854 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:43:28Z |
| institution | BVB |
| isbn | 0582003172 0470208775 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001505423 |
| oclc_num | 15630724 |
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| owner_facet | DE-91G DE-BY-TUM DE-384 DE-739 DE-824 DE-355 DE-BY-UBR DE-12 DE-29T DE-634 DE-83 DE-188 |
| physical | 106 S. |
| publishDate | 1987 |
| publishDateSearch | 1987 |
| publishDateSort | 1987 |
| publisher | Longman |
| record_format | marc |
| series | Pitman research notes in mathematics series |
| series2 | Pitman research notes in mathematics series |
| spelling | Reemtsen, Rembert 1951- Verfasser (DE-588)142698954 aut Defect minimization in operator equations theory and applications R. Reemtsen 1. publ. Harlow Longman 1987 106 S. txt rdacontent n rdamedia nc rdacarrier Pitman research notes in mathematics series 163 Approximation, Théorie de l' Approximation, Théorie de l' ram Équations à opérateurs - Solutions numériques ram Équations à opérateurs non linéaires - Solutions numériques Approximation theory Operator equations, Nonlinear Numerical solutions Approximationstheorie (DE-588)4120913-8 gnd rswk-swf Nichtlineare Operatorgleichung (DE-588)4171756-9 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Operatorgleichung (DE-588)4043601-9 gnd rswk-swf Operatorgleichung (DE-588)4043601-9 s Approximationstheorie (DE-588)4120913-8 s DE-604 Nichtlineare Operatorgleichung (DE-588)4171756-9 s Numerisches Verfahren (DE-588)4128130-5 s Pitman research notes in mathematics series 163 (DE-604)BV000022845 163 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001505423&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Reemtsen, Rembert 1951- Defect minimization in operator equations theory and applications Pitman research notes in mathematics series Approximation, Théorie de l' Approximation, Théorie de l' ram Équations à opérateurs - Solutions numériques ram Équations à opérateurs non linéaires - Solutions numériques Approximation theory Operator equations, Nonlinear Numerical solutions Approximationstheorie (DE-588)4120913-8 gnd Nichtlineare Operatorgleichung (DE-588)4171756-9 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Operatorgleichung (DE-588)4043601-9 gnd |
| subject_GND | (DE-588)4120913-8 (DE-588)4171756-9 (DE-588)4128130-5 (DE-588)4043601-9 |
| title | Defect minimization in operator equations theory and applications |
| title_auth | Defect minimization in operator equations theory and applications |
| title_exact_search | Defect minimization in operator equations theory and applications |
| title_full | Defect minimization in operator equations theory and applications R. Reemtsen |
| title_fullStr | Defect minimization in operator equations theory and applications R. Reemtsen |
| title_full_unstemmed | Defect minimization in operator equations theory and applications R. Reemtsen |
| title_short | Defect minimization in operator equations |
| title_sort | defect minimization in operator equations theory and applications |
| title_sub | theory and applications |
| topic | Approximation, Théorie de l' Approximation, Théorie de l' ram Équations à opérateurs - Solutions numériques ram Équations à opérateurs non linéaires - Solutions numériques Approximation theory Operator equations, Nonlinear Numerical solutions Approximationstheorie (DE-588)4120913-8 gnd Nichtlineare Operatorgleichung (DE-588)4171756-9 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Operatorgleichung (DE-588)4043601-9 gnd |
| topic_facet | Approximation, Théorie de l' Équations à opérateurs - Solutions numériques Équations à opérateurs non linéaires - Solutions numériques Approximation theory Operator equations, Nonlinear Numerical solutions Approximationstheorie Nichtlineare Operatorgleichung Numerisches Verfahren Operatorgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001505423&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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