Linear discrete parabolic problems:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam
Elsevier
2006
|
| Ausgabe: | 1st ed |
| Schriftenreihe: | North-Holland mathematics studies
203 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This volume introduces a unified, self-contained study of linear discrete parabolic problems through reducing the starting discrete problem to the Cauchy problem for an evolution equation in discrete time. Accessible to beginning graduate students, the book contains a general stability theory of discrete evolution equations in Banach space and gives applications of this theory to the analysis of various classes of modern discretization methods, among others, Runge-Kutta and linear multistep methods as well as operator splitting methods. Key features: * Presents a unified approach to examining discretization methods for parabolic equations. * Highlights a stability theory of discrete evolution equations (discrete semigroups) in Banach space. * Deals with both autonomous and non-autonomous equations as well as with equations with memory. * Offers a series of numerous well-posedness and convergence results for various discretization methods as applied to abstract parabolic equations; among others, Runge-Kutta and linear multistep methods as well as certain operator splitting methods. * Provides comments of results and historical remarks after each chapter. Presents a unified approach to examining discretization methods for parabolic equations. Highlights a stability theory of discrete evolution equations (discrete semigroups) in Banach space. Deals with both autonomous and non-autonomous equations as well as with equations with memory. Offers a series of numerous well-posedness and convergence results for various discretization methods as applied to abstract parabolic equations; among others, Runge-Kutta and linear multistep methods as well as certain operator splitting methods as well as certain operator splitting methods are studied in detail. Provides comments of results and historical remarks after each chapter Includes bibliographical references (p. 269-283) and index |
| Beschreibung: | 1 Online-Ressource (xv, 286 p.) |
| ISBN: | 9780444521408 0444521402 0080462081 9780080462080 |
Internformat
MARC
| LEADER | 00000nmm a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV042317351 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 150129s2006 |||| o||u| ||||||eng d | ||
| 020 | |a 9780444521408 |9 978-0-444-52140-8 | ||
| 020 | |a 0444521402 |9 0-444-52140-2 | ||
| 020 | |a 0080462081 |c electronic bk. |9 0-08-046208-1 | ||
| 020 | |a 9780080462080 |c electronic bk. |9 978-0-08-046208-0 | ||
| 035 | |a (ZDB-33-EBS)ocn162587214 | ||
| 035 | |a (OCoLC)162587214 | ||
| 035 | |a (DE-599)BVBBV042317351 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-1046 | ||
| 082 | 0 | |a 515/.392 |2 22 | |
| 100 | 1 | |a Bakaev, Nikolai Yu |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Linear discrete parabolic problems |c Nikolai Yu. Bakaev |
| 250 | |a 1st ed | ||
| 264 | 1 | |a Amsterdam |b Elsevier |c 2006 | |
| 300 | |a 1 Online-Ressource (xv, 286 p.) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a North-Holland mathematics studies |v 203 | |
| 500 | |a This volume introduces a unified, self-contained study of linear discrete parabolic problems through reducing the starting discrete problem to the Cauchy problem for an evolution equation in discrete time. Accessible to beginning graduate students, the book contains a general stability theory of discrete evolution equations in Banach space and gives applications of this theory to the analysis of various classes of modern discretization methods, among others, Runge-Kutta and linear multistep methods as well as operator splitting methods. Key features: * Presents a unified approach to examining discretization methods for parabolic equations. * Highlights a stability theory of discrete evolution equations (discrete semigroups) in Banach space. * Deals with both autonomous and non-autonomous equations as well as with equations with memory. * Offers a series of numerous well-posedness and convergence results for various discretization methods as applied to abstract parabolic equations; among others, Runge-Kutta and linear multistep methods as well as certain operator splitting methods. * Provides comments of results and historical remarks after each chapter. Presents a unified approach to examining discretization methods for parabolic equations. Highlights a stability theory of discrete evolution equations (discrete semigroups) in Banach space. Deals with both autonomous and non-autonomous equations as well as with equations with memory. Offers a series of numerous well-posedness and convergence results for various discretization methods as applied to abstract parabolic equations; among others, Runge-Kutta and linear multistep methods as well as certain operator splitting methods as well as certain operator splitting methods are studied in detail. Provides comments of results and historical remarks after each chapter | ||
| 500 | |a Includes bibliographical references (p. 269-283) and index | ||
| 650 | 7 | |a MATHEMATICS / Differential Equations / General |2 bisacsh | |
| 650 | 7 | |a Computer science / Mathematics |2 fast | |
| 650 | 7 | |a Differential equations |2 fast | |
| 650 | 7 | |a Runge-Kutta formulas |2 fast | |
| 650 | 7 | |a Stability |2 fast | |
| 650 | 4 | |a Informatik | |
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Stability | |
| 650 | 4 | |a Runge-Kutta formulas | |
| 650 | 4 | |a Differential equations | |
| 650 | 4 | |a Computer science |x Mathematics | |
| 856 | 4 | 0 | |u http://www.sciencedirect.com/science/book/9780444521408 |x Verlag |3 Volltext |
| 912 | |a ZDB-33-ESD |a ZDB-33-EBS | ||
| 940 | 1 | |q FAW_PDA_ESD | |
| 940 | 1 | |q FLA_PDA_ESD | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-027754341 | ||
Datensatz im Suchindex
| _version_ | 1804152913683021824 |
|---|---|
| any_adam_object | |
| author | Bakaev, Nikolai Yu |
| author_facet | Bakaev, Nikolai Yu |
| author_role | aut |
| author_sort | Bakaev, Nikolai Yu |
| author_variant | n y b ny nyb |
| building | Verbundindex |
| bvnumber | BV042317351 |
| collection | ZDB-33-ESD ZDB-33-EBS |
| ctrlnum | (ZDB-33-EBS)ocn162587214 (OCoLC)162587214 (DE-599)BVBBV042317351 |
| dewey-full | 515/.392 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.392 |
| dewey-search | 515/.392 |
| dewey-sort | 3515 3392 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1st ed |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03613nmm a2200541zcb4500</leader><controlfield tag="001">BV042317351</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">150129s2006 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780444521408</subfield><subfield code="9">978-0-444-52140-8</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0444521402</subfield><subfield code="9">0-444-52140-2</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0080462081</subfield><subfield code="c">electronic bk.</subfield><subfield code="9">0-08-046208-1</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780080462080</subfield><subfield code="c">electronic bk.</subfield><subfield code="9">978-0-08-046208-0</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-33-EBS)ocn162587214</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)162587214</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042317351</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-1046</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515/.392</subfield><subfield code="2">22</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Bakaev, Nikolai Yu</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Linear discrete parabolic problems</subfield><subfield code="c">Nikolai Yu. Bakaev</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">1st ed</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Amsterdam</subfield><subfield code="b">Elsevier</subfield><subfield code="c">2006</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (xv, 286 p.)</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">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">North-Holland mathematics studies</subfield><subfield code="v">203</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">This volume introduces a unified, self-contained study of linear discrete parabolic problems through reducing the starting discrete problem to the Cauchy problem for an evolution equation in discrete time. Accessible to beginning graduate students, the book contains a general stability theory of discrete evolution equations in Banach space and gives applications of this theory to the analysis of various classes of modern discretization methods, among others, Runge-Kutta and linear multistep methods as well as operator splitting methods. Key features: * Presents a unified approach to examining discretization methods for parabolic equations. * Highlights a stability theory of discrete evolution equations (discrete semigroups) in Banach space. * Deals with both autonomous and non-autonomous equations as well as with equations with memory. * Offers a series of numerous well-posedness and convergence results for various discretization methods as applied to abstract parabolic equations; among others, Runge-Kutta and linear multistep methods as well as certain operator splitting methods. * Provides comments of results and historical remarks after each chapter. Presents a unified approach to examining discretization methods for parabolic equations. Highlights a stability theory of discrete evolution equations (discrete semigroups) in Banach space. Deals with both autonomous and non-autonomous equations as well as with equations with memory. Offers a series of numerous well-posedness and convergence results for various discretization methods as applied to abstract parabolic equations; among others, Runge-Kutta and linear multistep methods as well as certain operator splitting methods as well as certain operator splitting methods are studied in detail. Provides comments of results and historical remarks after each chapter</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references (p. 269-283) and index</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / Differential Equations / General</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Computer science / Mathematics</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Differential equations</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Runge-Kutta formulas</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Stability</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Informatik</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Stability</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Runge-Kutta formulas</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Differential equations</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Computer science</subfield><subfield code="x">Mathematics</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">http://www.sciencedirect.com/science/book/9780444521408</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-33-ESD</subfield><subfield code="a">ZDB-33-EBS</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">FAW_PDA_ESD</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">FLA_PDA_ESD</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027754341</subfield></datafield></record></collection> |
| id | DE-604.BV042317351 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:18:16Z |
| institution | BVB |
| isbn | 9780444521408 0444521402 0080462081 9780080462080 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027754341 |
| oclc_num | 162587214 |
| open_access_boolean | |
| owner | DE-1046 |
| owner_facet | DE-1046 |
| physical | 1 Online-Ressource (xv, 286 p.) |
| psigel | ZDB-33-ESD ZDB-33-EBS FAW_PDA_ESD FLA_PDA_ESD |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| publisher | Elsevier |
| record_format | marc |
| series2 | North-Holland mathematics studies |
| spelling | Bakaev, Nikolai Yu Verfasser aut Linear discrete parabolic problems Nikolai Yu. Bakaev 1st ed Amsterdam Elsevier 2006 1 Online-Ressource (xv, 286 p.) txt rdacontent c rdamedia cr rdacarrier North-Holland mathematics studies 203 This volume introduces a unified, self-contained study of linear discrete parabolic problems through reducing the starting discrete problem to the Cauchy problem for an evolution equation in discrete time. Accessible to beginning graduate students, the book contains a general stability theory of discrete evolution equations in Banach space and gives applications of this theory to the analysis of various classes of modern discretization methods, among others, Runge-Kutta and linear multistep methods as well as operator splitting methods. Key features: * Presents a unified approach to examining discretization methods for parabolic equations. * Highlights a stability theory of discrete evolution equations (discrete semigroups) in Banach space. * Deals with both autonomous and non-autonomous equations as well as with equations with memory. * Offers a series of numerous well-posedness and convergence results for various discretization methods as applied to abstract parabolic equations; among others, Runge-Kutta and linear multistep methods as well as certain operator splitting methods. * Provides comments of results and historical remarks after each chapter. Presents a unified approach to examining discretization methods for parabolic equations. Highlights a stability theory of discrete evolution equations (discrete semigroups) in Banach space. Deals with both autonomous and non-autonomous equations as well as with equations with memory. Offers a series of numerous well-posedness and convergence results for various discretization methods as applied to abstract parabolic equations; among others, Runge-Kutta and linear multistep methods as well as certain operator splitting methods as well as certain operator splitting methods are studied in detail. Provides comments of results and historical remarks after each chapter Includes bibliographical references (p. 269-283) and index MATHEMATICS / Differential Equations / General bisacsh Computer science / Mathematics fast Differential equations fast Runge-Kutta formulas fast Stability fast Informatik Mathematik Stability Runge-Kutta formulas Differential equations Computer science Mathematics http://www.sciencedirect.com/science/book/9780444521408 Verlag Volltext |
| spellingShingle | Bakaev, Nikolai Yu Linear discrete parabolic problems MATHEMATICS / Differential Equations / General bisacsh Computer science / Mathematics fast Differential equations fast Runge-Kutta formulas fast Stability fast Informatik Mathematik Stability Runge-Kutta formulas Differential equations Computer science Mathematics |
| title | Linear discrete parabolic problems |
| title_auth | Linear discrete parabolic problems |
| title_exact_search | Linear discrete parabolic problems |
| title_full | Linear discrete parabolic problems Nikolai Yu. Bakaev |
| title_fullStr | Linear discrete parabolic problems Nikolai Yu. Bakaev |
| title_full_unstemmed | Linear discrete parabolic problems Nikolai Yu. Bakaev |
| title_short | Linear discrete parabolic problems |
| title_sort | linear discrete parabolic problems |
| topic | MATHEMATICS / Differential Equations / General bisacsh Computer science / Mathematics fast Differential equations fast Runge-Kutta formulas fast Stability fast Informatik Mathematik Stability Runge-Kutta formulas Differential equations Computer science Mathematics |
| topic_facet | MATHEMATICS / Differential Equations / General Computer science / Mathematics Differential equations Runge-Kutta formulas Stability Informatik Mathematik Computer science Mathematics |
| url | http://www.sciencedirect.com/science/book/9780444521408 |
| work_keys_str_mv | AT bakaevnikolaiyu lineardiscreteparabolicproblems |