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,...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo
Springer-Verlag
1989
|
| Series: | Lecture Notes in Engineering
41 |
| Subjects: | |
| Online Access: | BTU01 Volltext |
| Summary: | 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 |
| Physical Description: | 1 Online-Ressource (X, 282 p. 2 illus) |
| ISBN: | 9783642837012 |
| DOI: | 10.1007/978-3-642-83701-2 |
Staff View
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| id | DE-604.BV045186503 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T08:10:57Z |
| institution | BVB |
| isbn | 9783642837012 |
| language | English |
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| physical | 1 Online-Ressource (X, 282 p. 2 illus) |
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| publishDate | 1989 |
| publishDateSearch | 1989 |
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| 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 |
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