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| Title Details: | |
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Elliptic Equation: Finite Differences |
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| Authors: |
Plexousakis, Michael Chatzipantelidis, Panagiotis |
| Reviewer: |
Akrivis, George |
| Subject: | MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > NUMERICAL ANALYSIS > |
| Description: | |
| Abstract: |
In this chapter we study finite difference methods for elliptic problems in two dimensions. The method will be formulated in simple partitions on a rectangular domain. The solution can be obtained by solving a corresponding linear system. We show that the matrix of this corresponding linear system has properties which allow us the use of efficient methods of Numerical Linear Algebra to solve it. We further show error estimates for this method.
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| Linguistic Editors: |
Tsiadimou, Anastasia |
| Technical Editors: |
Chatzipantelidis, Panagiotis |
| Graphic Editors: |
Chatzipantelidis, Panagiotis |
| Type: |
Chapter |
| Creation Date: | 2015 |
| Item Details: | |
| License: |
Attribution - NonCommercial - ShareAlike 4.0 International (CC BY-NC-SA 4.0) |
| Handle | http://hdl.handle.net/11419/670 |
| Bibliographic Reference: | Plexousakis, M., & Chatzipantelidis, P. (2015). Elliptic Equation: Finite Differences [Chapter]. In Plexousakis, M., & Chatzipantelidis, P. 2015. Numerical Solution of Partial Differential Equations [Undergraduate textbook]. Kallipos, Open Academic Editions. https://hdl.handle.net/11419/670 |
| Language: |
Greek |
| Is Part of: |
Numerical Solution of Partial Differential Equations |
| Publication Origin: |
Kallipos, Open Academic Editions |