Introduction to the network approximation method for materials modeling:
Gespeichert in:
Hauptverfasser: | , , |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
2013
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Ausgabe: | 1. publ. |
Schriftenreihe: | Encyclopedia of mathematics and its applications
148 |
Schlagworte: | |
Online-Zugang: | Cover image Inhaltsverzeichnis |
Beschreibung: | "In recent years the traditional subject of continuum mechanics has grown rapidly and many new techniques have emerged. This text provides a rigorous, yet accessible introduction to the basic concepts of the network approximation method and provides a unified approach for solving a wide variety of applied problems. As a unifying theme, the authors discuss in detail the transport problem in a system of bodies. They solve the problem of closely placed bodies using the new method of the network approximation for partial differential equations with discontinuous coefficients, developed in the 2000s by applied mathematicians in the USA and Russia. Intended for graduate students in applied mathematics and related fields such as physics, chemistry and engineering, the book is also a useful overview of the topic for researchers in these areas.In recent years the traditional subject of continuum mechanics has grown rapidly and many new techniques have emerged. This text provides a rigorous, yet accessible introduction to the basic concepts of the network approximation method and provides a unified approach for solving a wide variety of applied problems. As a unifying theme, the authors discuss in detail the transport problem in a system of bodies. They solve the problem of closely placed bodies using the new method of the network approximation for partial differential equations with discontinuous coefficients, developed in the 2000s by applied mathematicians in the USA and Russia. Intended for graduate students in applied mathematics and related fields such as physics, chemistry and engineering, the book is also a useful overview of the topic for researchers in these areas"-- Provided by publisher. Includes bibliographical references (pages 228-241) and index |
Beschreibung: | XIV, 243 S. graph. Darst. 24 cm |
ISBN: | 9781107028234 110702823X |
Internformat
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Datensatz im Suchindex
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adam_text | INTRODUCTION TO THE NETWORK APPROXIMATION METHOD FOR MATERIALS MODELING
/ BERLYAND, LEONID
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
PREFACE; 1. REVIEW OF MATHEMATICAL NOTIONS USED IN THE ANALYSIS OF
TRANSPORT PROBLEMS IN DENSE-PACKED COMPOSITE MATERIALS; 2. BACKGROUND
AND MOTIVATION FOR INTRODUCTION OF NETWORK MODELS; 3. NETWORK
APPROXIMATION FOR BOUNDARY-VALUE PROBLEMS WITH DISCONTINUOUS
COEFFICIENTS AND A FINITE NUMBER OF INCLUSIONS; 4. NUMERICS FOR
PERCOLATION AND POLYDISPERSITY VIA NETWORK MODELS; 5. THE NETWORK
APPROXIMATION THEOREM FOR AN INFINITE NUMBER OF BODIES; 6. NETWORK
METHOD FOR NONLINEAR COMPOSITES; 7. NETWORK APPROXIMATION FOR POTENTIALS
OF DISKS; 8. APPLICATION OF COMPLEX VARIABLES METHOD; BIBLIOGRAPHY;
INDEX.
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
any_adam_object | 1 |
author | Berlyand, Leonid Kolpakov, Aleksandr G. Novikov, Alexei |
author_GND | (DE-588)1029933812 (DE-588)1029935556 |
author_facet | Berlyand, Leonid Kolpakov, Aleksandr G. Novikov, Alexei |
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bvnumber | BV041144792 |
callnumber-first | T - Technology |
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callnumber-subject | TA - General and Civil Engineering |
classification_rvk | SK 890 SK 950 |
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ctrlnum | (OCoLC)827049337 (DE-599)BVBBV041144792 |
dewey-full | 620.1/18015115 |
dewey-hundreds | 600 - Technology (Applied sciences) |
dewey-ones | 620 - Engineering and allied operations |
dewey-raw | 620.1/18015115 |
dewey-search | 620.1/18015115 |
dewey-sort | 3620.1 818015115 |
dewey-tens | 620 - Engineering and allied operations |
discipline | Physik Werkstoffwissenschaften Mathematik |
edition | 1. publ. |
format | Book |
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id | DE-604.BV041144792 |
illustrated | Illustrated |
indexdate | 2024-07-10T00:40:36Z |
institution | BVB |
isbn | 9781107028234 110702823X |
language | English |
lccn | 2012029156 |
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physical | XIV, 243 S. graph. Darst. 24 cm |
publishDate | 2013 |
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spelling | Berlyand, Leonid Verfasser (DE-588)1029933812 aut Introduction to the network approximation method for materials modeling Leonid Berlyand, Alexander G. Kolpakov, Alexei Novikov 1. publ. 2013 XIV, 243 S. graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier Encyclopedia of mathematics and its applications 148 "In recent years the traditional subject of continuum mechanics has grown rapidly and many new techniques have emerged. This text provides a rigorous, yet accessible introduction to the basic concepts of the network approximation method and provides a unified approach for solving a wide variety of applied problems. As a unifying theme, the authors discuss in detail the transport problem in a system of bodies. They solve the problem of closely placed bodies using the new method of the network approximation for partial differential equations with discontinuous coefficients, developed in the 2000s by applied mathematicians in the USA and Russia. Intended for graduate students in applied mathematics and related fields such as physics, chemistry and engineering, the book is also a useful overview of the topic for researchers in these areas.In recent years the traditional subject of continuum mechanics has grown rapidly and many new techniques have emerged. This text provides a rigorous, yet accessible introduction to the basic concepts of the network approximation method and provides a unified approach for solving a wide variety of applied problems. As a unifying theme, the authors discuss in detail the transport problem in a system of bodies. They solve the problem of closely placed bodies using the new method of the network approximation for partial differential equations with discontinuous coefficients, developed in the 2000s by applied mathematicians in the USA and Russia. Intended for graduate students in applied mathematics and related fields such as physics, chemistry and engineering, the book is also a useful overview of the topic for researchers in these areas"-- Provided by publisher. Includes bibliographical references (pages 228-241) and index Mathematisches Modell Composite materials Mathematical models Graph theory Differential equations, Partial Duality theory (Mathematics) MATHEMATICS / General bisacsh Verbundwerkstoff (DE-588)4062670-2 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Graphentheorie (DE-588)4113782-6 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Graphentheorie (DE-588)4113782-6 s Partielle Differentialgleichung (DE-588)4044779-0 s Verbundwerkstoff (DE-588)4062670-2 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Kolpakov, Aleksandr G. Verfasser aut Novikov, Alexei Verfasser (DE-588)1029935556 aut Encyclopedia of mathematics and its applications 148 (DE-604)BV000903719 148 http://assets.cambridge.org/97811070/28234/cover/9781107028234.jpg Cover image LoC Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026120359&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Berlyand, Leonid Kolpakov, Aleksandr G. Novikov, Alexei Introduction to the network approximation method for materials modeling Encyclopedia of mathematics and its applications Mathematisches Modell Composite materials Mathematical models Graph theory Differential equations, Partial Duality theory (Mathematics) MATHEMATICS / General bisacsh Verbundwerkstoff (DE-588)4062670-2 gnd Mathematisches Modell (DE-588)4114528-8 gnd Graphentheorie (DE-588)4113782-6 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
subject_GND | (DE-588)4062670-2 (DE-588)4114528-8 (DE-588)4113782-6 (DE-588)4044779-0 |
title | Introduction to the network approximation method for materials modeling |
title_auth | Introduction to the network approximation method for materials modeling |
title_exact_search | Introduction to the network approximation method for materials modeling |
title_full | Introduction to the network approximation method for materials modeling Leonid Berlyand, Alexander G. Kolpakov, Alexei Novikov |
title_fullStr | Introduction to the network approximation method for materials modeling Leonid Berlyand, Alexander G. Kolpakov, Alexei Novikov |
title_full_unstemmed | Introduction to the network approximation method for materials modeling Leonid Berlyand, Alexander G. Kolpakov, Alexei Novikov |
title_short | Introduction to the network approximation method for materials modeling |
title_sort | introduction to the network approximation method for materials modeling |
topic | Mathematisches Modell Composite materials Mathematical models Graph theory Differential equations, Partial Duality theory (Mathematics) MATHEMATICS / General bisacsh Verbundwerkstoff (DE-588)4062670-2 gnd Mathematisches Modell (DE-588)4114528-8 gnd Graphentheorie (DE-588)4113782-6 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
topic_facet | Mathematisches Modell Composite materials Mathematical models Graph theory Differential equations, Partial Duality theory (Mathematics) MATHEMATICS / General Verbundwerkstoff Graphentheorie Partielle Differentialgleichung |
url | http://assets.cambridge.org/97811070/28234/cover/9781107028234.jpg http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026120359&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV000903719 |
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