The Robust Multigrid Technique : : For Black-Box Software / / Sergey I. Martynenko.
This book presents a detailed description of a robust pseudomultigrid algorithm for solving (initial-)boundary value problems on structured grids in a black-box manner. To overcome the problem of robustness, the presented Robust Multigrid Technique (RMT) is based on the application of the essential...
Αποθηκεύτηκε σε:
Superior document: | Title is part of eBook package: De Gruyter DG Plus eBook-Package 2017 |
---|---|
VerfasserIn: | |
Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2017] ©2017 |
Έτος έκδοσης: | 2017 |
Γλώσσα: | English |
Διαθέσιμο Online: | |
Φυσική περιγραφή: | 1 online resource (XIII, 198 p.) |
Ετικέτες: |
Προσθήκη ετικέτας
Δεν υπάρχουν, Καταχωρήστε ετικέτα πρώτοι!
|
id |
9783110539264 |
---|---|
lccn |
2017041551 |
ctrlnum |
(DE-B1597)478946 (OCoLC)1004878518 |
collection |
bib_alma |
record_format |
marc |
spelling |
Martynenko, Sergey I., author. aut http://id.loc.gov/vocabulary/relators/aut The Robust Multigrid Technique : For Black-Box Software / Sergey I. Martynenko. Berlin ; Boston : De Gruyter, [2017] ©2017 1 online resource (XIII, 198 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Frontmatter -- Preface -- Acknowledgments -- Contents -- Notation -- 1. Introduction to multigrid -- 2. Robust multigrid technique -- 3. Parallel multigrid methods -- 4. Applications of multigrid methods in computational fluid dynamics -- Bibliography -- Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star This book presents a detailed description of a robust pseudomultigrid algorithm for solving (initial-)boundary value problems on structured grids in a black-box manner. To overcome the problem of robustness, the presented Robust Multigrid Technique (RMT) is based on the application of the essential multigrid principle in a single grid algorithm. It results in an extremely simple, very robust and highly parallel solver with close-to-optimal algorithmic complexity and the least number of problem-dependent components. Topics covered include an introduction to the mathematical principles of multigrid methods, a detailed description of RMT, results of convergence analysis and complexity, possible expansion on unstructured grids, numerical experiments and a brief description of multigrid software, parallel RMT and estimations of speed-up and efficiency of the parallel multigrid algorithms, and finally applications of RMT for the numerical solution of the incompressible Navier Stokes equations. Potential readers are graduate students and researchers working in applied and numerical mathematics as well as multigrid practitioners and software programmers. ContentsIntroduction to multigridRobust multigrid techniqueParallel multigrid methodsApplications of multigrid methods in computational fluid dynamics Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) Boundary value problems. Numerical analysis. Uncertainty Mathematical models. Blackbox. Diskretisierung. Mehrgitterverfahren. Numerische Strömungssimulation. Randwertproblem. MATHEMATICS / Numerical Analysis. bisacsh Title is part of eBook package: De Gruyter DG Plus eBook-Package 2017 9783110719543 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2017 9783110540550 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE ENGLISH 2017 9783110625264 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2017 9783110548204 ZDB-23-DMA EPUB 9783110537628 print 9783110537550 https://doi.org/10.1515/9783110539264 https://www.degruyter.com/isbn/9783110539264 Cover https://www.degruyter.com/cover/covers/9783110539264.jpg |
language |
English |
format |
eBook |
author |
Martynenko, Sergey I., Martynenko, Sergey I., |
spellingShingle |
Martynenko, Sergey I., Martynenko, Sergey I., The Robust Multigrid Technique : For Black-Box Software / Frontmatter -- Preface -- Acknowledgments -- Contents -- Notation -- 1. Introduction to multigrid -- 2. Robust multigrid technique -- 3. Parallel multigrid methods -- 4. Applications of multigrid methods in computational fluid dynamics -- Bibliography -- Index |
author_facet |
Martynenko, Sergey I., Martynenko, Sergey I., |
author_variant |
s i m si sim s i m si sim |
author_role |
VerfasserIn VerfasserIn |
author_sort |
Martynenko, Sergey I., |
title |
The Robust Multigrid Technique : For Black-Box Software / |
title_sub |
For Black-Box Software / |
title_full |
The Robust Multigrid Technique : For Black-Box Software / Sergey I. Martynenko. |
title_fullStr |
The Robust Multigrid Technique : For Black-Box Software / Sergey I. Martynenko. |
title_full_unstemmed |
The Robust Multigrid Technique : For Black-Box Software / Sergey I. Martynenko. |
title_auth |
The Robust Multigrid Technique : For Black-Box Software / |
title_alt |
Frontmatter -- Preface -- Acknowledgments -- Contents -- Notation -- 1. Introduction to multigrid -- 2. Robust multigrid technique -- 3. Parallel multigrid methods -- 4. Applications of multigrid methods in computational fluid dynamics -- Bibliography -- Index |
title_new |
The Robust Multigrid Technique : |
title_sort |
the robust multigrid technique : for black-box software / |
publisher |
De Gruyter, |
publishDate |
2017 |
physical |
1 online resource (XIII, 198 p.) |
contents |
Frontmatter -- Preface -- Acknowledgments -- Contents -- Notation -- 1. Introduction to multigrid -- 2. Robust multigrid technique -- 3. Parallel multigrid methods -- 4. Applications of multigrid methods in computational fluid dynamics -- Bibliography -- Index |
isbn |
9783110539264 9783110719543 9783110540550 9783110625264 9783110548204 9783110537628 9783110537550 |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA297 |
callnumber-sort |
QA 3297 M345 42017 |
url |
https://doi.org/10.1515/9783110539264 https://www.degruyter.com/isbn/9783110539264 https://www.degruyter.com/cover/covers/9783110539264.jpg |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
518 - Numerical analysis |
dewey-full |
518/.64 |
dewey-sort |
3518 264 |
dewey-raw |
518/.64 |
dewey-search |
518/.64 |
doi_str_mv |
10.1515/9783110539264 |
oclc_num |
1004878518 |
work_keys_str_mv |
AT martynenkosergeyi therobustmultigridtechniqueforblackboxsoftware AT martynenkosergeyi robustmultigridtechniqueforblackboxsoftware |
status_str |
n |
ids_txt_mv |
(DE-B1597)478946 (OCoLC)1004878518 |
carrierType_str_mv |
cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter DG Plus eBook-Package 2017 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2017 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE ENGLISH 2017 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2017 |
is_hierarchy_title |
The Robust Multigrid Technique : For Black-Box Software / |
container_title |
Title is part of eBook package: De Gruyter DG Plus eBook-Package 2017 |
_version_ |
1770177683522584576 |
fullrecord |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>04724nam a22008535i 4500</leader><controlfield tag="001">9783110539264</controlfield><controlfield tag="003">DE-B1597</controlfield><controlfield tag="005">20210830012106.0</controlfield><controlfield tag="006">m|||||o||d||||||||</controlfield><controlfield tag="007">cr || ||||||||</controlfield><controlfield tag="008">210830t20172017gw fo d z eng d</controlfield><datafield tag="010" ind1=" " ind2=" "><subfield code="a">2017041551</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783110539264</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1515/9783110539264</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-B1597)478946</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1004878518</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-B1597</subfield><subfield code="b">eng</subfield><subfield code="c">DE-B1597</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="050" ind1="0" ind2="0"><subfield code="a">QA297</subfield><subfield code="b">.M345 2017</subfield></datafield><datafield tag="050" ind1=" " ind2="4"><subfield code="a">QA297</subfield><subfield code="b">.M378 2017</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">MAT041000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">518/.64</subfield><subfield code="2">23</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Martynenko, Sergey I., </subfield><subfield code="e">author.</subfield><subfield code="4">aut</subfield><subfield code="4">http://id.loc.gov/vocabulary/relators/aut</subfield></datafield><datafield tag="245" ind1="1" ind2="4"><subfield code="a">The Robust Multigrid Technique :</subfield><subfield code="b">For Black-Box Software /</subfield><subfield code="c">Sergey I. Martynenko.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin ;</subfield><subfield code="a">Boston : </subfield><subfield code="b">De Gruyter, </subfield><subfield code="c">[2017]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">©2017</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (XIII, 198 p.)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="347" ind1=" " ind2=" "><subfield code="a">text file</subfield><subfield code="b">PDF</subfield><subfield code="2">rda</subfield></datafield><datafield tag="505" ind1="0" ind2="0"><subfield code="t">Frontmatter -- </subfield><subfield code="t">Preface -- </subfield><subfield code="t">Acknowledgments -- </subfield><subfield code="t">Contents -- </subfield><subfield code="t">Notation -- </subfield><subfield code="t">1. Introduction to multigrid -- </subfield><subfield code="t">2. Robust multigrid technique -- </subfield><subfield code="t">3. Parallel multigrid methods -- </subfield><subfield code="t">4. Applications of multigrid methods in computational fluid dynamics -- </subfield><subfield code="t">Bibliography -- </subfield><subfield code="t">Index</subfield></datafield><datafield tag="506" ind1="0" ind2=" "><subfield code="a">restricted access</subfield><subfield code="u">http://purl.org/coar/access_right/c_16ec</subfield><subfield code="f">online access with authorization</subfield><subfield code="2">star</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">This book presents a detailed description of a robust pseudomultigrid algorithm for solving (initial-)boundary value problems on structured grids in a black-box manner. To overcome the problem of robustness, the presented Robust Multigrid Technique (RMT) is based on the application of the essential multigrid principle in a single grid algorithm. It results in an extremely simple, very robust and highly parallel solver with close-to-optimal algorithmic complexity and the least number of problem-dependent components. Topics covered include an introduction to the mathematical principles of multigrid methods, a detailed description of RMT, results of convergence analysis and complexity, possible expansion on unstructured grids, numerical experiments and a brief description of multigrid software, parallel RMT and estimations of speed-up and efficiency of the parallel multigrid algorithms, and finally applications of RMT for the numerical solution of the incompressible Navier Stokes equations. Potential readers are graduate students and researchers working in applied and numerical mathematics as well as multigrid practitioners and software programmers. ContentsIntroduction to multigridRobust multigrid techniqueParallel multigrid methodsApplications of multigrid methods in computational fluid dynamics</subfield></datafield><datafield tag="538" ind1=" " ind2=" "><subfield code="a">Mode of access: Internet via World Wide Web.</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">In English.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021)</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Boundary value problems.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Numerical analysis.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Uncertainty</subfield><subfield code="x">Mathematical models.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Blackbox.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Diskretisierung.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mehrgitterverfahren.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Numerische Strömungssimulation.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Randwertproblem.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / Numerical Analysis.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">DG Plus eBook-Package 2017</subfield><subfield code="z">9783110719543</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">EBOOK PACKAGE COMPLETE 2017</subfield><subfield code="z">9783110540550</subfield><subfield code="o">ZDB-23-DGG</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">EBOOK PACKAGE COMPLETE ENGLISH 2017</subfield><subfield code="z">9783110625264</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">EBOOK PACKAGE Mathematics 2017</subfield><subfield code="z">9783110548204</subfield><subfield code="o">ZDB-23-DMA</subfield></datafield><datafield tag="776" ind1="0" ind2=" "><subfield code="c">EPUB</subfield><subfield code="z">9783110537628</subfield></datafield><datafield tag="776" ind1="0" ind2=" "><subfield code="c">print</subfield><subfield code="z">9783110537550</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1515/9783110539264</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://www.degruyter.com/isbn/9783110539264</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="3">Cover</subfield><subfield code="u">https://www.degruyter.com/cover/covers/9783110539264.jpg</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">978-3-11-062526-4 EBOOK PACKAGE COMPLETE ENGLISH 2017</subfield><subfield code="b">2017</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">978-3-11-071954-3 DG Plus eBook-Package 2017</subfield><subfield code="b">2017</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_BACKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_CL_MTPY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_DGALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_EBACKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_EBKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_ECL_MTPY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_EEBKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_ESTMALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_STMALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV-deGruyter-alles</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA12STME</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA13ENGE</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA18STMEE</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA5EBK</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-23-DGG</subfield><subfield code="b">2017</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-23-DMA</subfield><subfield code="b">2017</subfield></datafield></record></collection> |