Difference Equations from Differential Equations:
In computational mechanics, the first and quite often the most difficult part of a problem is the correct formulation of the problem. This is usually done in terms of differential equations. Once this formulation is accomplished, the translation of the governing differential equations into accurate,...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo
Springer-Verlag
1989
|
| Schriftenreihe: | Lecture Notes in Engineering
41 |
| Schlagworte: | |
| Online-Zugang: | BTU01 Volltext |
| Zusammenfassung: | In computational mechanics, the first and quite often the most difficult part of a problem is the correct formulation of the problem. This is usually done in terms of differential equations. Once this formulation is accomplished, the translation of the governing differential equations into accurate, stable, and physically realistic difference equations can be a formidable task. By comparison, the numerical evaluation of these difference equations in order to obtain a solution is usually much simpler. The present notes are primarily concerned with the second task, that of deriving accurate, stable, and physically realistic difference equations from the governing differential equations. Procedures for the numerical evaluation of these difference equations are also presented. In later applications, the physical formulation of the problem and the properties of the numerical solution, especially as they are related to the numerical approximations inherent in the solution, are discussed. There are numerous ways to form difference equations from differential equations |
| Beschreibung: | 1 Online-Ressource (X, 282 p. 2 illus) |
| ISBN: | 9783642837012 |
| DOI: | 10.1007/978-3-642-83701-2 |
Internformat
MARC
| LEADER | 00000nmm a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV045186503 | ||
| 003 | DE-604 | ||
| 005 | 20211004 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 180912s1989 |||| o||u| ||||||eng d | ||
| 020 | |a 9783642837012 |9 978-3-642-83701-2 | ||
| 024 | 7 | |a 10.1007/978-3-642-83701-2 |2 doi | |
| 035 | |a (ZDB-2-ENG)978-3-642-83701-2 | ||
| 035 | |a (OCoLC)1185213620 | ||
| 035 | |a (DE-599)BVBBV045186503 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-634 | ||
| 082 | 0 | |a 519 |2 23 | |
| 100 | 1 | |a Lick, Wilbert James |0 (DE-588)124242752X |4 aut | |
| 245 | 1 | 0 | |a Difference Equations from Differential Equations |c W. J. Lick |
| 264 | 1 | |a Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo |b Springer-Verlag |c 1989 | |
| 300 | |a 1 Online-Ressource (X, 282 p. 2 illus) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a Lecture Notes in Engineering |v 41 | |
| 520 | |a In computational mechanics, the first and quite often the most difficult part of a problem is the correct formulation of the problem. This is usually done in terms of differential equations. Once this formulation is accomplished, the translation of the governing differential equations into accurate, stable, and physically realistic difference equations can be a formidable task. By comparison, the numerical evaluation of these difference equations in order to obtain a solution is usually much simpler. The present notes are primarily concerned with the second task, that of deriving accurate, stable, and physically realistic difference equations from the governing differential equations. Procedures for the numerical evaluation of these difference equations are also presented. In later applications, the physical formulation of the problem and the properties of the numerical solution, especially as they are related to the numerical approximations inherent in the solution, are discussed. There are numerous ways to form difference equations from differential equations | ||
| 650 | 4 | |a Engineering | |
| 650 | 4 | |a Appl.Mathematics/Computational Methods of Engineering | |
| 650 | 4 | |a Mechanics | |
| 650 | 4 | |a Geoengineering, Foundations, Hydraulics | |
| 650 | 4 | |a Waste Management/Waste Technology | |
| 650 | 4 | |a Waste Water Technology / Water Pollution Control / Water Management / Aquatic Pollution | |
| 650 | 4 | |a Atmospheric Protection/Air Quality Control/Air Pollution | |
| 650 | 4 | |a Engineering | |
| 650 | 4 | |a Mechanics | |
| 650 | 4 | |a Applied mathematics | |
| 650 | 4 | |a Engineering mathematics | |
| 650 | 4 | |a Engineering geology | |
| 650 | 4 | |a Engineering / Geology | |
| 650 | 4 | |a Foundations | |
| 650 | 4 | |a Hydraulics | |
| 650 | 4 | |a Waste management | |
| 650 | 4 | |a Air pollution | |
| 650 | 4 | |a Water pollution | |
| 650 | 0 | 7 | |a Differentialgleichung |0 (DE-588)4012249-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Numerisches Verfahren |0 (DE-588)4128130-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Differenzengleichung |0 (DE-588)4012264-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Differentialgleichung |0 (DE-588)4012249-9 |D s |
| 689 | 0 | 1 | |a Numerisches Verfahren |0 (DE-588)4128130-5 |D s |
| 689 | 0 | 2 | |a Differenzengleichung |0 (DE-588)4012264-5 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 9783540507390 |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-642-83701-2 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-030575680 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 966 | e | |u https://doi.org/10.1007/978-3-642-83701-2 |l BTU01 |p ZDB-2-ENG |q ZDB-2-ENG_Archiv |x Verlag |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1804178877559341056 |
|---|---|
| any_adam_object | |
| author | Lick, Wilbert James |
| author_GND | (DE-588)124242752X |
| author_facet | Lick, Wilbert James |
| author_role | aut |
| author_sort | Lick, Wilbert James |
| author_variant | w j l wj wjl |
| building | Verbundindex |
| bvnumber | BV045186503 |
| ctrlnum | (ZDB-2-ENG)978-3-642-83701-2 (OCoLC)1185213620 (DE-599)BVBBV045186503 |
| dewey-full | 519 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519 |
| dewey-search | 519 |
| dewey-sort | 3519 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-642-83701-2 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03620nmm a2200661zcb4500</leader><controlfield tag="001">BV045186503</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20211004 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">180912s1989 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783642837012</subfield><subfield code="9">978-3-642-83701-2</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-3-642-83701-2</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-2-ENG)978-3-642-83701-2</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1185213620</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV045186503</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-634</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">519</subfield><subfield code="2">23</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Lick, Wilbert James</subfield><subfield code="0">(DE-588)124242752X</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Difference Equations from Differential Equations</subfield><subfield code="c">W. J. Lick</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo</subfield><subfield code="b">Springer-Verlag</subfield><subfield code="c">1989</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (X, 282 p. 2 illus)</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">Lecture Notes in Engineering</subfield><subfield code="v">41</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">In computational mechanics, the first and quite often the most difficult part of a problem is the correct formulation of the problem. This is usually done in terms of differential equations. Once this formulation is accomplished, the translation of the governing differential equations into accurate, stable, and physically realistic difference equations can be a formidable task. By comparison, the numerical evaluation of these difference equations in order to obtain a solution is usually much simpler. The present notes are primarily concerned with the second task, that of deriving accurate, stable, and physically realistic difference equations from the governing differential equations. Procedures for the numerical evaluation of these difference equations are also presented. In later applications, the physical formulation of the problem and the properties of the numerical solution, especially as they are related to the numerical approximations inherent in the solution, are discussed. There are numerous ways to form difference equations from differential equations</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Engineering</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Appl.Mathematics/Computational Methods of Engineering</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mechanics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Geoengineering, Foundations, Hydraulics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Waste Management/Waste Technology</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Waste Water Technology / Water Pollution Control / Water Management / Aquatic Pollution</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Atmospheric Protection/Air Quality Control/Air Pollution</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Engineering</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mechanics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Applied mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Engineering mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Engineering geology</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Engineering / Geology</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Foundations</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Hydraulics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Waste management</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Air pollution</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Water pollution</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Differentialgleichung</subfield><subfield code="0">(DE-588)4012249-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Numerisches Verfahren</subfield><subfield code="0">(DE-588)4128130-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Differenzengleichung</subfield><subfield code="0">(DE-588)4012264-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Differentialgleichung</subfield><subfield code="0">(DE-588)4012249-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Numerisches Verfahren</subfield><subfield code="0">(DE-588)4128130-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Differenzengleichung</subfield><subfield code="0">(DE-588)4012264-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">9783540507390</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-3-642-83701-2</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-030575680</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-642-83701-2</subfield><subfield code="l">BTU01</subfield><subfield code="p">ZDB-2-ENG</subfield><subfield code="q">ZDB-2-ENG_Archiv</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV045186503 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T08:10:57Z |
| institution | BVB |
| isbn | 9783642837012 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030575680 |
| oclc_num | 1185213620 |
| open_access_boolean | |
| owner | DE-634 |
| owner_facet | DE-634 |
| physical | 1 Online-Ressource (X, 282 p. 2 illus) |
| psigel | ZDB-2-ENG ZDB-2-ENG_Archiv |
| publishDate | 1989 |
| publishDateSearch | 1989 |
| publishDateSort | 1989 |
| publisher | Springer-Verlag |
| record_format | marc |
| series2 | Lecture Notes in Engineering |
| spelling | Lick, Wilbert James (DE-588)124242752X aut Difference Equations from Differential Equations W. J. Lick Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo Springer-Verlag 1989 1 Online-Ressource (X, 282 p. 2 illus) txt rdacontent c rdamedia cr rdacarrier Lecture Notes in Engineering 41 In computational mechanics, the first and quite often the most difficult part of a problem is the correct formulation of the problem. This is usually done in terms of differential equations. Once this formulation is accomplished, the translation of the governing differential equations into accurate, stable, and physically realistic difference equations can be a formidable task. By comparison, the numerical evaluation of these difference equations in order to obtain a solution is usually much simpler. The present notes are primarily concerned with the second task, that of deriving accurate, stable, and physically realistic difference equations from the governing differential equations. Procedures for the numerical evaluation of these difference equations are also presented. In later applications, the physical formulation of the problem and the properties of the numerical solution, especially as they are related to the numerical approximations inherent in the solution, are discussed. There are numerous ways to form difference equations from differential equations Engineering Appl.Mathematics/Computational Methods of Engineering Mechanics Geoengineering, Foundations, Hydraulics Waste Management/Waste Technology Waste Water Technology / Water Pollution Control / Water Management / Aquatic Pollution Atmospheric Protection/Air Quality Control/Air Pollution Applied mathematics Engineering mathematics Engineering geology Engineering / Geology Foundations Hydraulics Waste management Air pollution Water pollution Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Differenzengleichung (DE-588)4012264-5 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 s Numerisches Verfahren (DE-588)4128130-5 s Differenzengleichung (DE-588)4012264-5 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 9783540507390 https://doi.org/10.1007/978-3-642-83701-2 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Lick, Wilbert James Difference Equations from Differential Equations Engineering Appl.Mathematics/Computational Methods of Engineering Mechanics Geoengineering, Foundations, Hydraulics Waste Management/Waste Technology Waste Water Technology / Water Pollution Control / Water Management / Aquatic Pollution Atmospheric Protection/Air Quality Control/Air Pollution Applied mathematics Engineering mathematics Engineering geology Engineering / Geology Foundations Hydraulics Waste management Air pollution Water pollution Differentialgleichung (DE-588)4012249-9 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Differenzengleichung (DE-588)4012264-5 gnd |
| subject_GND | (DE-588)4012249-9 (DE-588)4128130-5 (DE-588)4012264-5 |
| title | Difference Equations from Differential Equations |
| title_auth | Difference Equations from Differential Equations |
| title_exact_search | Difference Equations from Differential Equations |
| title_full | Difference Equations from Differential Equations W. J. Lick |
| title_fullStr | Difference Equations from Differential Equations W. J. Lick |
| title_full_unstemmed | Difference Equations from Differential Equations W. J. Lick |
| title_short | Difference Equations from Differential Equations |
| title_sort | difference equations from differential equations |
| topic | Engineering Appl.Mathematics/Computational Methods of Engineering Mechanics Geoengineering, Foundations, Hydraulics Waste Management/Waste Technology Waste Water Technology / Water Pollution Control / Water Management / Aquatic Pollution Atmospheric Protection/Air Quality Control/Air Pollution Applied mathematics Engineering mathematics Engineering geology Engineering / Geology Foundations Hydraulics Waste management Air pollution Water pollution Differentialgleichung (DE-588)4012249-9 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Differenzengleichung (DE-588)4012264-5 gnd |
| topic_facet | Engineering Appl.Mathematics/Computational Methods of Engineering Mechanics Geoengineering, Foundations, Hydraulics Waste Management/Waste Technology Waste Water Technology / Water Pollution Control / Water Management / Aquatic Pollution Atmospheric Protection/Air Quality Control/Air Pollution Applied mathematics Engineering mathematics Engineering geology Engineering / Geology Foundations Hydraulics Waste management Air pollution Water pollution Differentialgleichung Numerisches Verfahren Differenzengleichung |
| url | https://doi.org/10.1007/978-3-642-83701-2 |
| work_keys_str_mv | AT lickwilbertjames differenceequationsfromdifferentialequations |