Structure-Preserving Algorithms for a Class of Dynamical Systems
Abstract In this paper, we study structure-preserving algorithms for dynamical systems defined by ordinary differential equations in Rn. The equations are assumed to be of the form ẏ = A(y)+D(y) +R(y), where A(y) is the conservative part subject to 〈A(y), y〉 = 0; D(y) is the damping part or the part...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Wang, Ling-shu [verfasserIn] |
|---|
| Format: |
Artikel |
|---|---|
| Sprache: |
Englisch |
| Erschienen: |
2007 |
|---|
| Schlagwörter: |
|---|
| Anmerkung: |
© Springer-Verlag Berlin Heidelberg 2007 |
|---|
| Übergeordnetes Werk: |
Enthalten in: Acta mathematicae applicatae sinica / English series - Springer-Verlag, 2002, 23(2007), 1 vom: Jan., Seite 161-176 |
|---|---|
| Übergeordnetes Werk: |
volume:23 ; year:2007 ; number:1 ; month:01 ; pages:161-176 |
| Links: |
|---|
| DOI / URN: |
10.1007/s10255-006-0361-0 |
|---|
| Katalog-ID: |
OLC2109953225 |
|---|
| LEADER | 01000naa a22002652 4500 | ||
|---|---|---|---|
| 001 | OLC2109953225 | ||
| 003 | DE-627 | ||
| 005 | 20230502180532.0 | ||
| 007 | tu | ||
| 008 | 230502s2007 xx ||||| 00| ||eng c | ||
| 024 | 7 | |a 10.1007/s10255-006-0361-0 |2 doi | |
| 035 | |a (DE-627)OLC2109953225 | ||
| 035 | |a (DE-He213)s10255-006-0361-0-p | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rakwb | ||
| 041 | |a eng | ||
| 082 | 0 | 4 | |a 510 |q VZ |
| 084 | |a 31.80$jAngewandte Mathematik |2 bkl | ||
| 100 | 1 | |a Wang, Ling-shu |e verfasserin |4 aut | |
| 245 | 1 | 0 | |a Structure-Preserving Algorithms for a Class of Dynamical Systems |
| 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 © Springer-Verlag Berlin Heidelberg 2007 | ||
| 520 | |a Abstract In this paper, we study structure-preserving algorithms for dynamical systems defined by ordinary differential equations in Rn. The equations are assumed to be of the form ẏ = A(y)+D(y) +R(y), where A(y) is the conservative part subject to 〈A(y), y〉 = 0; D(y) is the damping part or the part describing the coexistence of damping and expanding; R(y) reflects strange phenomenon of the system. It is shown that the numerical solutions generated by the symplectic Runge-Kutta(SRK) methods with bi > 0 ( i = 1, • • • , s) have long-time approximations to the exact ones, and these methods can describe the structural properties of the quadratic energy for these systems. Some numerical experiments and backward error analysis also show that these methods are better than other methods including the general algebraically stable Runge-Kutta(RK)methods. | ||
| 650 | 4 | |a SRK methods | |
| 650 | 4 | |a numerical experiment | |
| 650 | 4 | |a backward error analysis | |
| 700 | 1 | |a Feng, Guang-hui |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Acta mathematicae applicatae sinica / English series |d Springer-Verlag, 2002 |g 23(2007), 1 vom: Jan., Seite 161-176 |w (DE-627)363762353 |w (DE-600)2106495-7 |w (DE-576)105283274 |x 0168-9673 |7 nnns |
| 773 | 1 | 8 | |g volume:23 |g year:2007 |g number:1 |g month:01 |g pages:161-176 |
| 856 | 4 | 1 | |u https://doi.org/10.1007/s10255-006-0361-0 |z lizenzpflichtig |3 Volltext |
| 912 | |a GBV_USEFLAG_A | ||
| 912 | |a SYSFLAG_A | ||
| 912 | |a GBV_OLC | ||
| 912 | |a SSG-OLC-MAT | ||
| 912 | |a GBV_ILN_70 | ||
| 912 | |a GBV_ILN_2018 | ||
| 912 | |a GBV_ILN_2088 | ||
| 936 | b | k | |a 31.80$jAngewandte Mathematik |q VZ |0 106419005 |0 (DE-625)106419005 |
| 951 | |a AR | ||
| 952 | |d 23 |j 2007 |e 1 |c 01 |h 161-176 | ||
| author_variant |
l s w lsw g h f ghf |
|---|---|
| matchkey_str |
article:01689673:2007----::tutrpeevnagrtmfrcasfy |
| hierarchy_sort_str |
2007 |
| bklnumber |
31.80$jAngewandte Mathematik |
| publishDate |
2007 |
| allfields |
10.1007/s10255-006-0361-0 doi (DE-627)OLC2109953225 (DE-He213)s10255-006-0361-0-p DE-627 ger DE-627 rakwb eng 510 VZ 31.80$jAngewandte Mathematik bkl Wang, Ling-shu verfasserin aut Structure-Preserving Algorithms for a Class of Dynamical Systems 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2007 Abstract In this paper, we study structure-preserving algorithms for dynamical systems defined by ordinary differential equations in Rn. The equations are assumed to be of the form ẏ = A(y)+D(y) +R(y), where A(y) is the conservative part subject to 〈A(y), y〉 = 0; D(y) is the damping part or the part describing the coexistence of damping and expanding; R(y) reflects strange phenomenon of the system. It is shown that the numerical solutions generated by the symplectic Runge-Kutta(SRK) methods with bi > 0 ( i = 1, • • • , s) have long-time approximations to the exact ones, and these methods can describe the structural properties of the quadratic energy for these systems. Some numerical experiments and backward error analysis also show that these methods are better than other methods including the general algebraically stable Runge-Kutta(RK)methods. SRK methods numerical experiment backward error analysis Feng, Guang-hui aut Enthalten in Acta mathematicae applicatae sinica / English series Springer-Verlag, 2002 23(2007), 1 vom: Jan., Seite 161-176 (DE-627)363762353 (DE-600)2106495-7 (DE-576)105283274 0168-9673 nnns volume:23 year:2007 number:1 month:01 pages:161-176 https://doi.org/10.1007/s10255-006-0361-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT GBV_ILN_70 GBV_ILN_2018 GBV_ILN_2088 31.80$jAngewandte Mathematik VZ 106419005 (DE-625)106419005 AR 23 2007 1 01 161-176 |
| spelling |
10.1007/s10255-006-0361-0 doi (DE-627)OLC2109953225 (DE-He213)s10255-006-0361-0-p DE-627 ger DE-627 rakwb eng 510 VZ 31.80$jAngewandte Mathematik bkl Wang, Ling-shu verfasserin aut Structure-Preserving Algorithms for a Class of Dynamical Systems 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2007 Abstract In this paper, we study structure-preserving algorithms for dynamical systems defined by ordinary differential equations in Rn. The equations are assumed to be of the form ẏ = A(y)+D(y) +R(y), where A(y) is the conservative part subject to 〈A(y), y〉 = 0; D(y) is the damping part or the part describing the coexistence of damping and expanding; R(y) reflects strange phenomenon of the system. It is shown that the numerical solutions generated by the symplectic Runge-Kutta(SRK) methods with bi > 0 ( i = 1, • • • , s) have long-time approximations to the exact ones, and these methods can describe the structural properties of the quadratic energy for these systems. Some numerical experiments and backward error analysis also show that these methods are better than other methods including the general algebraically stable Runge-Kutta(RK)methods. SRK methods numerical experiment backward error analysis Feng, Guang-hui aut Enthalten in Acta mathematicae applicatae sinica / English series Springer-Verlag, 2002 23(2007), 1 vom: Jan., Seite 161-176 (DE-627)363762353 (DE-600)2106495-7 (DE-576)105283274 0168-9673 nnns volume:23 year:2007 number:1 month:01 pages:161-176 https://doi.org/10.1007/s10255-006-0361-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT GBV_ILN_70 GBV_ILN_2018 GBV_ILN_2088 31.80$jAngewandte Mathematik VZ 106419005 (DE-625)106419005 AR 23 2007 1 01 161-176 |
| allfields_unstemmed |
10.1007/s10255-006-0361-0 doi (DE-627)OLC2109953225 (DE-He213)s10255-006-0361-0-p DE-627 ger DE-627 rakwb eng 510 VZ 31.80$jAngewandte Mathematik bkl Wang, Ling-shu verfasserin aut Structure-Preserving Algorithms for a Class of Dynamical Systems 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2007 Abstract In this paper, we study structure-preserving algorithms for dynamical systems defined by ordinary differential equations in Rn. The equations are assumed to be of the form ẏ = A(y)+D(y) +R(y), where A(y) is the conservative part subject to 〈A(y), y〉 = 0; D(y) is the damping part or the part describing the coexistence of damping and expanding; R(y) reflects strange phenomenon of the system. It is shown that the numerical solutions generated by the symplectic Runge-Kutta(SRK) methods with bi > 0 ( i = 1, • • • , s) have long-time approximations to the exact ones, and these methods can describe the structural properties of the quadratic energy for these systems. Some numerical experiments and backward error analysis also show that these methods are better than other methods including the general algebraically stable Runge-Kutta(RK)methods. SRK methods numerical experiment backward error analysis Feng, Guang-hui aut Enthalten in Acta mathematicae applicatae sinica / English series Springer-Verlag, 2002 23(2007), 1 vom: Jan., Seite 161-176 (DE-627)363762353 (DE-600)2106495-7 (DE-576)105283274 0168-9673 nnns volume:23 year:2007 number:1 month:01 pages:161-176 https://doi.org/10.1007/s10255-006-0361-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT GBV_ILN_70 GBV_ILN_2018 GBV_ILN_2088 31.80$jAngewandte Mathematik VZ 106419005 (DE-625)106419005 AR 23 2007 1 01 161-176 |
| allfieldsGer |
10.1007/s10255-006-0361-0 doi (DE-627)OLC2109953225 (DE-He213)s10255-006-0361-0-p DE-627 ger DE-627 rakwb eng 510 VZ 31.80$jAngewandte Mathematik bkl Wang, Ling-shu verfasserin aut Structure-Preserving Algorithms for a Class of Dynamical Systems 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2007 Abstract In this paper, we study structure-preserving algorithms for dynamical systems defined by ordinary differential equations in Rn. The equations are assumed to be of the form ẏ = A(y)+D(y) +R(y), where A(y) is the conservative part subject to 〈A(y), y〉 = 0; D(y) is the damping part or the part describing the coexistence of damping and expanding; R(y) reflects strange phenomenon of the system. It is shown that the numerical solutions generated by the symplectic Runge-Kutta(SRK) methods with bi > 0 ( i = 1, • • • , s) have long-time approximations to the exact ones, and these methods can describe the structural properties of the quadratic energy for these systems. Some numerical experiments and backward error analysis also show that these methods are better than other methods including the general algebraically stable Runge-Kutta(RK)methods. SRK methods numerical experiment backward error analysis Feng, Guang-hui aut Enthalten in Acta mathematicae applicatae sinica / English series Springer-Verlag, 2002 23(2007), 1 vom: Jan., Seite 161-176 (DE-627)363762353 (DE-600)2106495-7 (DE-576)105283274 0168-9673 nnns volume:23 year:2007 number:1 month:01 pages:161-176 https://doi.org/10.1007/s10255-006-0361-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT GBV_ILN_70 GBV_ILN_2018 GBV_ILN_2088 31.80$jAngewandte Mathematik VZ 106419005 (DE-625)106419005 AR 23 2007 1 01 161-176 |
| allfieldsSound |
10.1007/s10255-006-0361-0 doi (DE-627)OLC2109953225 (DE-He213)s10255-006-0361-0-p DE-627 ger DE-627 rakwb eng 510 VZ 31.80$jAngewandte Mathematik bkl Wang, Ling-shu verfasserin aut Structure-Preserving Algorithms for a Class of Dynamical Systems 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2007 Abstract In this paper, we study structure-preserving algorithms for dynamical systems defined by ordinary differential equations in Rn. The equations are assumed to be of the form ẏ = A(y)+D(y) +R(y), where A(y) is the conservative part subject to 〈A(y), y〉 = 0; D(y) is the damping part or the part describing the coexistence of damping and expanding; R(y) reflects strange phenomenon of the system. It is shown that the numerical solutions generated by the symplectic Runge-Kutta(SRK) methods with bi > 0 ( i = 1, • • • , s) have long-time approximations to the exact ones, and these methods can describe the structural properties of the quadratic energy for these systems. Some numerical experiments and backward error analysis also show that these methods are better than other methods including the general algebraically stable Runge-Kutta(RK)methods. SRK methods numerical experiment backward error analysis Feng, Guang-hui aut Enthalten in Acta mathematicae applicatae sinica / English series Springer-Verlag, 2002 23(2007), 1 vom: Jan., Seite 161-176 (DE-627)363762353 (DE-600)2106495-7 (DE-576)105283274 0168-9673 nnns volume:23 year:2007 number:1 month:01 pages:161-176 https://doi.org/10.1007/s10255-006-0361-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT GBV_ILN_70 GBV_ILN_2018 GBV_ILN_2088 31.80$jAngewandte Mathematik VZ 106419005 (DE-625)106419005 AR 23 2007 1 01 161-176 |
| language |
English |
| source |
Enthalten in Acta mathematicae applicatae sinica / English series 23(2007), 1 vom: Jan., Seite 161-176 volume:23 year:2007 number:1 month:01 pages:161-176 |
| sourceStr |
Enthalten in Acta mathematicae applicatae sinica / English series 23(2007), 1 vom: Jan., Seite 161-176 volume:23 year:2007 number:1 month:01 pages:161-176 |
| format_phy_str_mv |
Article |
| institution |
findex.gbv.de |
| topic_facet |
SRK methods numerical experiment backward error analysis |
| dewey-raw |
510 |
| isfreeaccess_bool |
false |
| container_title |
Acta mathematicae applicatae sinica / English series |
| authorswithroles_txt_mv |
Wang, Ling-shu @@aut@@ Feng, Guang-hui @@aut@@ |
| publishDateDaySort_date |
2007-01-01T00:00:00Z |
| hierarchy_top_id |
363762353 |
| dewey-sort |
3510 |
| id |
OLC2109953225 |
| language_de |
englisch |
| fullrecord |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000naa a22002652 4500</leader><controlfield tag="001">OLC2109953225</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230502180532.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">230502s2007 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s10255-006-0361-0</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2109953225</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s10255-006-0361-0-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="084" ind1=" " ind2=" "><subfield code="a">31.80$jAngewandte Mathematik</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Wang, Ling-shu</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Structure-Preserving Algorithms for a Class of Dynamical Systems</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">© Springer-Verlag Berlin Heidelberg 2007</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract In this paper, we study structure-preserving algorithms for dynamical systems defined by ordinary differential equations in Rn. The equations are assumed to be of the form ẏ = A(y)+D(y) +R(y), where A(y) is the conservative part subject to 〈A(y), y〉 = 0; D(y) is the damping part or the part describing the coexistence of damping and expanding; R(y) reflects strange phenomenon of the system. It is shown that the numerical solutions generated by the symplectic Runge-Kutta(SRK) methods with bi > 0 ( i = 1, • • • , s) have long-time approximations to the exact ones, and these methods can describe the structural properties of the quadratic energy for these systems. Some numerical experiments and backward error analysis also show that these methods are better than other methods including the general algebraically stable Runge-Kutta(RK)methods.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">SRK methods</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">numerical experiment</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">backward error analysis</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Feng, Guang-hui</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Acta mathematicae applicatae sinica / English series</subfield><subfield code="d">Springer-Verlag, 2002</subfield><subfield code="g">23(2007), 1 vom: Jan., Seite 161-176</subfield><subfield code="w">(DE-627)363762353</subfield><subfield code="w">(DE-600)2106495-7</subfield><subfield code="w">(DE-576)105283274</subfield><subfield code="x">0168-9673</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:23</subfield><subfield code="g">year:2007</subfield><subfield code="g">number:1</subfield><subfield code="g">month:01</subfield><subfield code="g">pages:161-176</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/s10255-006-0361-0</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">GBV_ILN_70</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2018</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2088</subfield></datafield><datafield tag="936" ind1="b" ind2="k"><subfield code="a">31.80$jAngewandte Mathematik</subfield><subfield code="q">VZ</subfield><subfield code="0">106419005</subfield><subfield code="0">(DE-625)106419005</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">23</subfield><subfield code="j">2007</subfield><subfield code="e">1</subfield><subfield code="c">01</subfield><subfield code="h">161-176</subfield></datafield></record></collection>
|
| author |
Wang, Ling-shu |
| spellingShingle |
Wang, Ling-shu ddc 510 bkl 31.80$jAngewandte Mathematik misc SRK methods misc numerical experiment misc backward error analysis Structure-Preserving Algorithms for a Class of Dynamical Systems |
| authorStr |
Wang, Ling-shu |
| ppnlink_with_tag_str_mv |
@@773@@(DE-627)363762353 |
| format |
Article |
| dewey-ones |
510 - Mathematics |
| delete_txt_mv |
keep |
| author_role |
aut aut |
| collection |
OLC |
| remote_str |
false |
| illustrated |
Not Illustrated |
| issn |
0168-9673 |
| topic_title |
510 VZ 31.80$jAngewandte Mathematik bkl Structure-Preserving Algorithms for a Class of Dynamical Systems SRK methods numerical experiment backward error analysis |
| topic |
ddc 510 bkl 31.80$jAngewandte Mathematik misc SRK methods misc numerical experiment misc backward error analysis |
| topic_unstemmed |
ddc 510 bkl 31.80$jAngewandte Mathematik misc SRK methods misc numerical experiment misc backward error analysis |
| topic_browse |
ddc 510 bkl 31.80$jAngewandte Mathematik misc SRK methods misc numerical experiment misc backward error analysis |
| format_facet |
Aufsätze Gedruckte Aufsätze |
| format_main_str_mv |
Text Zeitschrift/Artikel |
| carriertype_str_mv |
nc |
| hierarchy_parent_title |
Acta mathematicae applicatae sinica / English series |
| hierarchy_parent_id |
363762353 |
| dewey-tens |
510 - Mathematics |
| hierarchy_top_title |
Acta mathematicae applicatae sinica / English series |
| isfreeaccess_txt |
false |
| familylinks_str_mv |
(DE-627)363762353 (DE-600)2106495-7 (DE-576)105283274 |
| title |
Structure-Preserving Algorithms for a Class of Dynamical Systems |
| ctrlnum |
(DE-627)OLC2109953225 (DE-He213)s10255-006-0361-0-p |
| title_full |
Structure-Preserving Algorithms for a Class of Dynamical Systems |
| author_sort |
Wang, Ling-shu |
| journal |
Acta mathematicae applicatae sinica / English series |
| journalStr |
Acta mathematicae applicatae sinica / English series |
| lang_code |
eng |
| isOA_bool |
false |
| dewey-hundreds |
500 - Science |
| recordtype |
marc |
| publishDateSort |
2007 |
| contenttype_str_mv |
txt |
| container_start_page |
161 |
| author_browse |
Wang, Ling-shu Feng, Guang-hui |
| container_volume |
23 |
| class |
510 VZ 31.80$jAngewandte Mathematik bkl |
| format_se |
Aufsätze |
| author-letter |
Wang, Ling-shu |
| doi_str_mv |
10.1007/s10255-006-0361-0 |
| normlink |
106419005 |
| normlink_prefix_str_mv |
106419005 (DE-625)106419005 |
| dewey-full |
510 |
| title_sort |
structure-preserving algorithms for a class of dynamical systems |
| title_auth |
Structure-Preserving Algorithms for a Class of Dynamical Systems |
| abstract |
Abstract In this paper, we study structure-preserving algorithms for dynamical systems defined by ordinary differential equations in Rn. The equations are assumed to be of the form ẏ = A(y)+D(y) +R(y), where A(y) is the conservative part subject to 〈A(y), y〉 = 0; D(y) is the damping part or the part describing the coexistence of damping and expanding; R(y) reflects strange phenomenon of the system. It is shown that the numerical solutions generated by the symplectic Runge-Kutta(SRK) methods with bi > 0 ( i = 1, • • • , s) have long-time approximations to the exact ones, and these methods can describe the structural properties of the quadratic energy for these systems. Some numerical experiments and backward error analysis also show that these methods are better than other methods including the general algebraically stable Runge-Kutta(RK)methods. © Springer-Verlag Berlin Heidelberg 2007 |
| abstractGer |
Abstract In this paper, we study structure-preserving algorithms for dynamical systems defined by ordinary differential equations in Rn. The equations are assumed to be of the form ẏ = A(y)+D(y) +R(y), where A(y) is the conservative part subject to 〈A(y), y〉 = 0; D(y) is the damping part or the part describing the coexistence of damping and expanding; R(y) reflects strange phenomenon of the system. It is shown that the numerical solutions generated by the symplectic Runge-Kutta(SRK) methods with bi > 0 ( i = 1, • • • , s) have long-time approximations to the exact ones, and these methods can describe the structural properties of the quadratic energy for these systems. Some numerical experiments and backward error analysis also show that these methods are better than other methods including the general algebraically stable Runge-Kutta(RK)methods. © Springer-Verlag Berlin Heidelberg 2007 |
| abstract_unstemmed |
Abstract In this paper, we study structure-preserving algorithms for dynamical systems defined by ordinary differential equations in Rn. The equations are assumed to be of the form ẏ = A(y)+D(y) +R(y), where A(y) is the conservative part subject to 〈A(y), y〉 = 0; D(y) is the damping part or the part describing the coexistence of damping and expanding; R(y) reflects strange phenomenon of the system. It is shown that the numerical solutions generated by the symplectic Runge-Kutta(SRK) methods with bi > 0 ( i = 1, • • • , s) have long-time approximations to the exact ones, and these methods can describe the structural properties of the quadratic energy for these systems. Some numerical experiments and backward error analysis also show that these methods are better than other methods including the general algebraically stable Runge-Kutta(RK)methods. © Springer-Verlag Berlin Heidelberg 2007 |
| collection_details |
GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT GBV_ILN_70 GBV_ILN_2018 GBV_ILN_2088 |
| container_issue |
1 |
| title_short |
Structure-Preserving Algorithms for a Class of Dynamical Systems |
| url |
https://doi.org/10.1007/s10255-006-0361-0 |
| remote_bool |
false |
| author2 |
Feng, Guang-hui |
| author2Str |
Feng, Guang-hui |
| ppnlink |
363762353 |
| mediatype_str_mv |
n |
| isOA_txt |
false |
| hochschulschrift_bool |
false |
| doi_str |
10.1007/s10255-006-0361-0 |
| up_date |
2024-07-04T04:27:41.351Z |
| _version_ |
1803621248635240448 |
| fullrecord_marcxml |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000naa a22002652 4500</leader><controlfield tag="001">OLC2109953225</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230502180532.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">230502s2007 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s10255-006-0361-0</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2109953225</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s10255-006-0361-0-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="084" ind1=" " ind2=" "><subfield code="a">31.80$jAngewandte Mathematik</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Wang, Ling-shu</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Structure-Preserving Algorithms for a Class of Dynamical Systems</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">© Springer-Verlag Berlin Heidelberg 2007</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract In this paper, we study structure-preserving algorithms for dynamical systems defined by ordinary differential equations in Rn. The equations are assumed to be of the form ẏ = A(y)+D(y) +R(y), where A(y) is the conservative part subject to 〈A(y), y〉 = 0; D(y) is the damping part or the part describing the coexistence of damping and expanding; R(y) reflects strange phenomenon of the system. It is shown that the numerical solutions generated by the symplectic Runge-Kutta(SRK) methods with bi > 0 ( i = 1, • • • , s) have long-time approximations to the exact ones, and these methods can describe the structural properties of the quadratic energy for these systems. Some numerical experiments and backward error analysis also show that these methods are better than other methods including the general algebraically stable Runge-Kutta(RK)methods.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">SRK methods</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">numerical experiment</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">backward error analysis</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Feng, Guang-hui</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Acta mathematicae applicatae sinica / English series</subfield><subfield code="d">Springer-Verlag, 2002</subfield><subfield code="g">23(2007), 1 vom: Jan., Seite 161-176</subfield><subfield code="w">(DE-627)363762353</subfield><subfield code="w">(DE-600)2106495-7</subfield><subfield code="w">(DE-576)105283274</subfield><subfield code="x">0168-9673</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:23</subfield><subfield code="g">year:2007</subfield><subfield code="g">number:1</subfield><subfield code="g">month:01</subfield><subfield code="g">pages:161-176</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/s10255-006-0361-0</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">GBV_ILN_70</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2018</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2088</subfield></datafield><datafield tag="936" ind1="b" ind2="k"><subfield code="a">31.80$jAngewandte Mathematik</subfield><subfield code="q">VZ</subfield><subfield code="0">106419005</subfield><subfield code="0">(DE-625)106419005</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">23</subfield><subfield code="j">2007</subfield><subfield code="e">1</subfield><subfield code="c">01</subfield><subfield code="h">161-176</subfield></datafield></record></collection>
|
| score |
7.3979836 |