Finite-difference approximation of dirichlet observation problems for weak solutions to the wave equation subject to Robin boundary conditions
Abstract For the wave equation with variable coefficients subject to Neumann and Robin boundary conditions, two mutually dual problems are considered: the Dirichlet observation problem with weak generalized solutions and the control problem with strong generalized solutions. Both problems are approx...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Potapov, M. M. [verfasserIn] |
|---|
| Format: |
Artikel |
|---|---|
| Sprache: |
Englisch |
| Erschienen: |
2007 |
|---|
| Schlagwörter: |
|---|
| Anmerkung: |
© Pleiades Publishing, Ltd. 2007 |
|---|
| Übergeordnetes Werk: |
Enthalten in: Computational mathematics and mathematical physics - Nauka/Interperiodica, 1992, 47(2007), 8 vom: Aug., Seite 1268-1284 |
|---|---|
| Übergeordnetes Werk: |
volume:47 ; year:2007 ; number:8 ; month:08 ; pages:1268-1284 |
| Links: |
|---|
| DOI / URN: |
10.1134/S0965542507080052 |
|---|
| Katalog-ID: |
OLC2037342837 |
|---|
| LEADER | 01000caa a22002652 4500 | ||
|---|---|---|---|
| 001 | OLC2037342837 | ||
| 003 | DE-627 | ||
| 005 | 20230504115442.0 | ||
| 007 | tu | ||
| 008 | 200820s2007 xx ||||| 00| ||eng c | ||
| 024 | 7 | |a 10.1134/S0965542507080052 |2 doi | |
| 035 | |a (DE-627)OLC2037342837 | ||
| 035 | |a (DE-He213)S0965542507080052-p | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rakwb | ||
| 041 | |a eng | ||
| 082 | 0 | 4 | |a 510 |q VZ |
| 100 | 1 | |a Potapov, M. M. |e verfasserin |4 aut | |
| 245 | 1 | 0 | |a Finite-difference approximation of dirichlet observation problems for weak solutions to the wave equation subject to Robin boundary conditions |
| 264 | 1 | |c 2007 | |
| 336 | |a Text |b txt |2 rdacontent | ||
| 337 | |a ohne Hilfsmittel zu benutzen |b n |2 rdamedia | ||
| 338 | |a Band |b nc |2 rdacarrier | ||
| 500 | |a © Pleiades Publishing, Ltd. 2007 | ||
| 520 | |a Abstract For the wave equation with variable coefficients subject to Neumann and Robin boundary conditions, two mutually dual problems are considered: the Dirichlet observation problem with weak generalized solutions and the control problem with strong generalized solutions. Both problems are approximated by finite differences preserving the duality relation. The convergence of the approximate solutions is established in the norms of the corresponding dual spaces. | ||
| 650 | 4 | |a wave equation | |
| 650 | 4 | |a controllability | |
| 650 | 4 | |a observability | |
| 650 | 4 | |a duality | |
| 650 | 4 | |a finite-dimensional approximation | |
| 650 | 4 | |a convergence | |
| 773 | 0 | 8 | |i Enthalten in |t Computational mathematics and mathematical physics |d Nauka/Interperiodica, 1992 |g 47(2007), 8 vom: Aug., Seite 1268-1284 |w (DE-627)131059181 |w (DE-600)1106328-2 |w (DE-576)029158060 |x 0965-5425 |7 nnns |
| 773 | 1 | 8 | |g volume:47 |g year:2007 |g number:8 |g month:08 |g pages:1268-1284 |
| 856 | 4 | 1 | |u https://doi.org/10.1134/S0965542507080052 |z lizenzpflichtig |3 Volltext |
| 912 | |a GBV_USEFLAG_A | ||
| 912 | |a SYSFLAG_A | ||
| 912 | |a GBV_OLC | ||
| 912 | |a SSG-OLC-MAT | ||
| 912 | |a SSG-OPC-MAT | ||
| 912 | |a GBV_ILN_70 | ||
| 912 | |a GBV_ILN_4311 | ||
| 951 | |a AR | ||
| 952 | |d 47 |j 2007 |e 8 |c 08 |h 1268-1284 | ||
| author_variant |
m m p mm mmp |
|---|---|
| matchkey_str |
article:09655425:2007----::iieifrneprxmtoodrcltbevtopolmfrekouintteaeqain |
| hierarchy_sort_str |
2007 |
| publishDate |
2007 |
| allfields |
10.1134/S0965542507080052 doi (DE-627)OLC2037342837 (DE-He213)S0965542507080052-p DE-627 ger DE-627 rakwb eng 510 VZ Potapov, M. M. verfasserin aut Finite-difference approximation of dirichlet observation problems for weak solutions to the wave equation subject to Robin boundary conditions 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2007 Abstract For the wave equation with variable coefficients subject to Neumann and Robin boundary conditions, two mutually dual problems are considered: the Dirichlet observation problem with weak generalized solutions and the control problem with strong generalized solutions. Both problems are approximated by finite differences preserving the duality relation. The convergence of the approximate solutions is established in the norms of the corresponding dual spaces. wave equation controllability observability duality finite-dimensional approximation convergence Enthalten in Computational mathematics and mathematical physics Nauka/Interperiodica, 1992 47(2007), 8 vom: Aug., Seite 1268-1284 (DE-627)131059181 (DE-600)1106328-2 (DE-576)029158060 0965-5425 nnns volume:47 year:2007 number:8 month:08 pages:1268-1284 https://doi.org/10.1134/S0965542507080052 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 GBV_ILN_4311 AR 47 2007 8 08 1268-1284 |
| spelling |
10.1134/S0965542507080052 doi (DE-627)OLC2037342837 (DE-He213)S0965542507080052-p DE-627 ger DE-627 rakwb eng 510 VZ Potapov, M. M. verfasserin aut Finite-difference approximation of dirichlet observation problems for weak solutions to the wave equation subject to Robin boundary conditions 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2007 Abstract For the wave equation with variable coefficients subject to Neumann and Robin boundary conditions, two mutually dual problems are considered: the Dirichlet observation problem with weak generalized solutions and the control problem with strong generalized solutions. Both problems are approximated by finite differences preserving the duality relation. The convergence of the approximate solutions is established in the norms of the corresponding dual spaces. wave equation controllability observability duality finite-dimensional approximation convergence Enthalten in Computational mathematics and mathematical physics Nauka/Interperiodica, 1992 47(2007), 8 vom: Aug., Seite 1268-1284 (DE-627)131059181 (DE-600)1106328-2 (DE-576)029158060 0965-5425 nnns volume:47 year:2007 number:8 month:08 pages:1268-1284 https://doi.org/10.1134/S0965542507080052 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 GBV_ILN_4311 AR 47 2007 8 08 1268-1284 |
| allfields_unstemmed |
10.1134/S0965542507080052 doi (DE-627)OLC2037342837 (DE-He213)S0965542507080052-p DE-627 ger DE-627 rakwb eng 510 VZ Potapov, M. M. verfasserin aut Finite-difference approximation of dirichlet observation problems for weak solutions to the wave equation subject to Robin boundary conditions 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2007 Abstract For the wave equation with variable coefficients subject to Neumann and Robin boundary conditions, two mutually dual problems are considered: the Dirichlet observation problem with weak generalized solutions and the control problem with strong generalized solutions. Both problems are approximated by finite differences preserving the duality relation. The convergence of the approximate solutions is established in the norms of the corresponding dual spaces. wave equation controllability observability duality finite-dimensional approximation convergence Enthalten in Computational mathematics and mathematical physics Nauka/Interperiodica, 1992 47(2007), 8 vom: Aug., Seite 1268-1284 (DE-627)131059181 (DE-600)1106328-2 (DE-576)029158060 0965-5425 nnns volume:47 year:2007 number:8 month:08 pages:1268-1284 https://doi.org/10.1134/S0965542507080052 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 GBV_ILN_4311 AR 47 2007 8 08 1268-1284 |
| allfieldsGer |
10.1134/S0965542507080052 doi (DE-627)OLC2037342837 (DE-He213)S0965542507080052-p DE-627 ger DE-627 rakwb eng 510 VZ Potapov, M. M. verfasserin aut Finite-difference approximation of dirichlet observation problems for weak solutions to the wave equation subject to Robin boundary conditions 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2007 Abstract For the wave equation with variable coefficients subject to Neumann and Robin boundary conditions, two mutually dual problems are considered: the Dirichlet observation problem with weak generalized solutions and the control problem with strong generalized solutions. Both problems are approximated by finite differences preserving the duality relation. The convergence of the approximate solutions is established in the norms of the corresponding dual spaces. wave equation controllability observability duality finite-dimensional approximation convergence Enthalten in Computational mathematics and mathematical physics Nauka/Interperiodica, 1992 47(2007), 8 vom: Aug., Seite 1268-1284 (DE-627)131059181 (DE-600)1106328-2 (DE-576)029158060 0965-5425 nnns volume:47 year:2007 number:8 month:08 pages:1268-1284 https://doi.org/10.1134/S0965542507080052 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 GBV_ILN_4311 AR 47 2007 8 08 1268-1284 |
| allfieldsSound |
10.1134/S0965542507080052 doi (DE-627)OLC2037342837 (DE-He213)S0965542507080052-p DE-627 ger DE-627 rakwb eng 510 VZ Potapov, M. M. verfasserin aut Finite-difference approximation of dirichlet observation problems for weak solutions to the wave equation subject to Robin boundary conditions 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2007 Abstract For the wave equation with variable coefficients subject to Neumann and Robin boundary conditions, two mutually dual problems are considered: the Dirichlet observation problem with weak generalized solutions and the control problem with strong generalized solutions. Both problems are approximated by finite differences preserving the duality relation. The convergence of the approximate solutions is established in the norms of the corresponding dual spaces. wave equation controllability observability duality finite-dimensional approximation convergence Enthalten in Computational mathematics and mathematical physics Nauka/Interperiodica, 1992 47(2007), 8 vom: Aug., Seite 1268-1284 (DE-627)131059181 (DE-600)1106328-2 (DE-576)029158060 0965-5425 nnns volume:47 year:2007 number:8 month:08 pages:1268-1284 https://doi.org/10.1134/S0965542507080052 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 GBV_ILN_4311 AR 47 2007 8 08 1268-1284 |
| language |
English |
| source |
Enthalten in Computational mathematics and mathematical physics 47(2007), 8 vom: Aug., Seite 1268-1284 volume:47 year:2007 number:8 month:08 pages:1268-1284 |
| sourceStr |
Enthalten in Computational mathematics and mathematical physics 47(2007), 8 vom: Aug., Seite 1268-1284 volume:47 year:2007 number:8 month:08 pages:1268-1284 |
| format_phy_str_mv |
Article |
| institution |
findex.gbv.de |
| topic_facet |
wave equation controllability observability duality finite-dimensional approximation convergence |
| dewey-raw |
510 |
| isfreeaccess_bool |
false |
| container_title |
Computational mathematics and mathematical physics |
| authorswithroles_txt_mv |
Potapov, M. M. @@aut@@ |
| publishDateDaySort_date |
2007-08-01T00:00:00Z |
| hierarchy_top_id |
131059181 |
| dewey-sort |
3510 |
| id |
OLC2037342837 |
| language_de |
englisch |
| fullrecord |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC2037342837</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230504115442.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200820s2007 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1134/S0965542507080052</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2037342837</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)S0965542507080052-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Potapov, M. M.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Finite-difference approximation of dirichlet observation problems for weak solutions to the wave equation subject to Robin boundary conditions</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2007</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">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Pleiades Publishing, Ltd. 2007</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract For the wave equation with variable coefficients subject to Neumann and Robin boundary conditions, two mutually dual problems are considered: the Dirichlet observation problem with weak generalized solutions and the control problem with strong generalized solutions. Both problems are approximated by finite differences preserving the duality relation. The convergence of the approximate solutions is established in the norms of the corresponding dual spaces.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">wave equation</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">controllability</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">observability</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">duality</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">finite-dimensional approximation</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">convergence</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Computational mathematics and mathematical physics</subfield><subfield code="d">Nauka/Interperiodica, 1992</subfield><subfield code="g">47(2007), 8 vom: Aug., Seite 1268-1284</subfield><subfield code="w">(DE-627)131059181</subfield><subfield code="w">(DE-600)1106328-2</subfield><subfield code="w">(DE-576)029158060</subfield><subfield code="x">0965-5425</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:47</subfield><subfield code="g">year:2007</subfield><subfield code="g">number:8</subfield><subfield code="g">month:08</subfield><subfield code="g">pages:1268-1284</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1134/S0965542507080052</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4311</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">47</subfield><subfield code="j">2007</subfield><subfield code="e">8</subfield><subfield code="c">08</subfield><subfield code="h">1268-1284</subfield></datafield></record></collection>
|
| author |
Potapov, M. M. |
| spellingShingle |
Potapov, M. M. ddc 510 misc wave equation misc controllability misc observability misc duality misc finite-dimensional approximation misc convergence Finite-difference approximation of dirichlet observation problems for weak solutions to the wave equation subject to Robin boundary conditions |
| authorStr |
Potapov, M. M. |
| ppnlink_with_tag_str_mv |
@@773@@(DE-627)131059181 |
| format |
Article |
| dewey-ones |
510 - Mathematics |
| delete_txt_mv |
keep |
| author_role |
aut |
| collection |
OLC |
| remote_str |
false |
| illustrated |
Not Illustrated |
| issn |
0965-5425 |
| topic_title |
510 VZ Finite-difference approximation of dirichlet observation problems for weak solutions to the wave equation subject to Robin boundary conditions wave equation controllability observability duality finite-dimensional approximation convergence |
| topic |
ddc 510 misc wave equation misc controllability misc observability misc duality misc finite-dimensional approximation misc convergence |
| topic_unstemmed |
ddc 510 misc wave equation misc controllability misc observability misc duality misc finite-dimensional approximation misc convergence |
| topic_browse |
ddc 510 misc wave equation misc controllability misc observability misc duality misc finite-dimensional approximation misc convergence |
| format_facet |
Aufsätze Gedruckte Aufsätze |
| format_main_str_mv |
Text Zeitschrift/Artikel |
| carriertype_str_mv |
nc |
| hierarchy_parent_title |
Computational mathematics and mathematical physics |
| hierarchy_parent_id |
131059181 |
| dewey-tens |
510 - Mathematics |
| hierarchy_top_title |
Computational mathematics and mathematical physics |
| isfreeaccess_txt |
false |
| familylinks_str_mv |
(DE-627)131059181 (DE-600)1106328-2 (DE-576)029158060 |
| title |
Finite-difference approximation of dirichlet observation problems for weak solutions to the wave equation subject to Robin boundary conditions |
| ctrlnum |
(DE-627)OLC2037342837 (DE-He213)S0965542507080052-p |
| title_full |
Finite-difference approximation of dirichlet observation problems for weak solutions to the wave equation subject to Robin boundary conditions |
| author_sort |
Potapov, M. M. |
| journal |
Computational mathematics and mathematical physics |
| journalStr |
Computational mathematics and mathematical physics |
| lang_code |
eng |
| isOA_bool |
false |
| dewey-hundreds |
500 - Science |
| recordtype |
marc |
| publishDateSort |
2007 |
| contenttype_str_mv |
txt |
| container_start_page |
1268 |
| author_browse |
Potapov, M. M. |
| container_volume |
47 |
| class |
510 VZ |
| format_se |
Aufsätze |
| author-letter |
Potapov, M. M. |
| doi_str_mv |
10.1134/S0965542507080052 |
| dewey-full |
510 |
| title_sort |
finite-difference approximation of dirichlet observation problems for weak solutions to the wave equation subject to robin boundary conditions |
| title_auth |
Finite-difference approximation of dirichlet observation problems for weak solutions to the wave equation subject to Robin boundary conditions |
| abstract |
Abstract For the wave equation with variable coefficients subject to Neumann and Robin boundary conditions, two mutually dual problems are considered: the Dirichlet observation problem with weak generalized solutions and the control problem with strong generalized solutions. Both problems are approximated by finite differences preserving the duality relation. The convergence of the approximate solutions is established in the norms of the corresponding dual spaces. © Pleiades Publishing, Ltd. 2007 |
| abstractGer |
Abstract For the wave equation with variable coefficients subject to Neumann and Robin boundary conditions, two mutually dual problems are considered: the Dirichlet observation problem with weak generalized solutions and the control problem with strong generalized solutions. Both problems are approximated by finite differences preserving the duality relation. The convergence of the approximate solutions is established in the norms of the corresponding dual spaces. © Pleiades Publishing, Ltd. 2007 |
| abstract_unstemmed |
Abstract For the wave equation with variable coefficients subject to Neumann and Robin boundary conditions, two mutually dual problems are considered: the Dirichlet observation problem with weak generalized solutions and the control problem with strong generalized solutions. Both problems are approximated by finite differences preserving the duality relation. The convergence of the approximate solutions is established in the norms of the corresponding dual spaces. © Pleiades Publishing, Ltd. 2007 |
| collection_details |
GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 GBV_ILN_4311 |
| container_issue |
8 |
| title_short |
Finite-difference approximation of dirichlet observation problems for weak solutions to the wave equation subject to Robin boundary conditions |
| url |
https://doi.org/10.1134/S0965542507080052 |
| remote_bool |
false |
| ppnlink |
131059181 |
| mediatype_str_mv |
n |
| isOA_txt |
false |
| hochschulschrift_bool |
false |
| doi_str |
10.1134/S0965542507080052 |
| up_date |
2024-07-03T14:47:36.271Z |
| _version_ |
1803569653376614400 |
| fullrecord_marcxml |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC2037342837</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230504115442.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200820s2007 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1134/S0965542507080052</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2037342837</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)S0965542507080052-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Potapov, M. M.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Finite-difference approximation of dirichlet observation problems for weak solutions to the wave equation subject to Robin boundary conditions</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2007</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">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Pleiades Publishing, Ltd. 2007</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract For the wave equation with variable coefficients subject to Neumann and Robin boundary conditions, two mutually dual problems are considered: the Dirichlet observation problem with weak generalized solutions and the control problem with strong generalized solutions. Both problems are approximated by finite differences preserving the duality relation. The convergence of the approximate solutions is established in the norms of the corresponding dual spaces.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">wave equation</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">controllability</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">observability</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">duality</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">finite-dimensional approximation</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">convergence</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Computational mathematics and mathematical physics</subfield><subfield code="d">Nauka/Interperiodica, 1992</subfield><subfield code="g">47(2007), 8 vom: Aug., Seite 1268-1284</subfield><subfield code="w">(DE-627)131059181</subfield><subfield code="w">(DE-600)1106328-2</subfield><subfield code="w">(DE-576)029158060</subfield><subfield code="x">0965-5425</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:47</subfield><subfield code="g">year:2007</subfield><subfield code="g">number:8</subfield><subfield code="g">month:08</subfield><subfield code="g">pages:1268-1284</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1134/S0965542507080052</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4311</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">47</subfield><subfield code="j">2007</subfield><subfield code="e">8</subfield><subfield code="c">08</subfield><subfield code="h">1268-1284</subfield></datafield></record></collection>
|
| score |
7.401724 |