Inverse Stefan problems:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Dordrecht [u.a.]
Kluwer Acad.
1997
|
| Series: | Mathematics and its applications
412 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VI, 250 S. graph. Darst. |
| ISBN: | 0792345886 |
Staff View
MARC
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| 100 | 1 | |a Gol'dman, N. L. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Inverse Stefan problems |c by N. L. Gol'dman |
| 264 | 1 | |a Dordrecht [u.a.] |b Kluwer Acad. |c 1997 | |
| 300 | |a VI, 250 S. |b graph. Darst. | ||
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| 650 | 4 | |a Differential equations, Parabolic |x Numerical solutions | |
| 650 | 4 | |a Differential equations, Partial |x Improperly posed problems | |
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Record in the Search Index
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| adam_text | Table of contents
PREFACE vii
ACKNOWLEDGMENTS viii
INTRODUCTION 1
BASIC DESIGNATIONS 5
1 STATEMENTS OF QUASILINEAR INVERSE
STEFAN PROBLEMS 7
1.1 Classification of ill posed inverse Stefan problems and their
applications 7
1.2 One phase boundary inverse Stefan problems with given phase
boundaries 17
1.3 One phase boundary inverse Stefan problems with unknown
phase boundaries 24
1.4 Boundary inverse Stefan problems in the two phase case 35
1.5 Coefficient inverse Stefan problems 41
2 THE REGULARIZATION VARIATIONAL METHOD
FOR SOLVING INVERSE STEFAN PROBLEMS 49
2.1 Construction of approximate solutions on the basis of the
quasi solution method 49
2.2 Stability of approximate solutions 75
2.3 Differentiability of functionals in the variational formulations of
inverse Stefan problems 99
3 ALGORITHMS FOR THE NUMERICAL SOLUTION
OF INVERSE STEFAN PROBLEMS 117
3.1 Principles of construction of algorithms 117
3.2 Numerical solution of the one phase inverse Stefan problems with
given phase boundaries. Determination of boundary regimes for
continuous casting 122
3.3 Descriptive regularization algorithms for boundary inverse Stefan
problems with unknown phase boundaries 133
3.4 Numerical solution of coefficient inverse Stefan problems.
Determination of the intensity of laser sources 157
v
vi TABLE OF CONTENTS
4 PROPERTIES OF OPERATOR REPRESENTATIONS
OF INVERSE STEFAN PROBLEMS 173
4.1 On classical solvability of quasilinear moving boundary problems . . .173
4.2 A priori estimates of Holder norms for the differential difference
analogs of linear parabolic equations 177
4.3 Unique solvability in the Holder spaces of the differential difference
analogs of the quasilinear boundary value problems 208
4.4 Global existence, uniqueness and stability in the Holder spaces
for the direct quasilinear Stefan problems 223
BIBLIOGRAPHY 239
INDEX 249
|
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| indexdate | 2024-07-09T18:18:58Z |
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| isbn | 0792345886 |
| language | English |
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| physical | VI, 250 S. graph. Darst. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Kluwer Acad. |
| record_format | marc |
| series | Mathematics and its applications |
| series2 | Mathematics and its applications |
| spelling | Gol'dman, N. L. Verfasser aut Inverse Stefan problems by N. L. Gol'dman Dordrecht [u.a.] Kluwer Acad. 1997 VI, 250 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematics and its applications 412 Équations différentielles paraboliques - Solutions numériques ram Mathematik Differential equations, Parabolic Numerical solutions Differential equations, Partial Improperly posed problems Heat Mathematics Stefan-Problem (DE-588)4183000-3 gnd rswk-swf Inverses Problem (DE-588)4125161-1 gnd rswk-swf Stefan-Problem (DE-588)4183000-3 s Inverses Problem (DE-588)4125161-1 s DE-604 Mathematics and its applications 412 (DE-604)BV008163334 412 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008076536&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gol'dman, N. L. Inverse Stefan problems Mathematics and its applications Équations différentielles paraboliques - Solutions numériques ram Mathematik Differential equations, Parabolic Numerical solutions Differential equations, Partial Improperly posed problems Heat Mathematics Stefan-Problem (DE-588)4183000-3 gnd Inverses Problem (DE-588)4125161-1 gnd |
| subject_GND | (DE-588)4183000-3 (DE-588)4125161-1 |
| title | Inverse Stefan problems |
| title_auth | Inverse Stefan problems |
| title_exact_search | Inverse Stefan problems |
| title_full | Inverse Stefan problems by N. L. Gol'dman |
| title_fullStr | Inverse Stefan problems by N. L. Gol'dman |
| title_full_unstemmed | Inverse Stefan problems by N. L. Gol'dman |
| title_short | Inverse Stefan problems |
| title_sort | inverse stefan problems |
| topic | Équations différentielles paraboliques - Solutions numériques ram Mathematik Differential equations, Parabolic Numerical solutions Differential equations, Partial Improperly posed problems Heat Mathematics Stefan-Problem (DE-588)4183000-3 gnd Inverses Problem (DE-588)4125161-1 gnd |
| topic_facet | Équations différentielles paraboliques - Solutions numériques Mathematik Differential equations, Parabolic Numerical solutions Differential equations, Partial Improperly posed problems Heat Mathematics Stefan-Problem Inverses Problem |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008076536&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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