NDLI: Numerical iterative methods and repetitive processes

Content Provider	Springer Nature Link
Author	Rabenstein, Rudolf Steffen, Peter
Copyright Year	2010
Abstract	Implicit schemes are a popular approach to the discretization of linear partial differential equations by finite differences. They require to solve a set of linear equations in each time step. Since finite difference discretizations lead to a local coupling, these systems of equations are sparse and can be effectively solved by iterative methods. Numerical procedures of this type are known in control theory as repetitive processes. They have mostly been used to solve problems in control like processes where passes of finite length are repeated over and over. This paper shows how the implicit discretization of partial differential equations can be cast into the framework of repetitive processes. Thus it establishes a link between yet unrelated results in numerical mathematics and control theory.
Starting Page	163
Ending Page	183
Page Count	21
File Format	PDF
ISSN	09236082
Journal	Multidimensional Systems and Signal Processing
Volume Number	23
Issue Number	1-2
e-ISSN	15730824
Language	English
Publisher	Springer US
Publisher Date	2010-06-03
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Numerical mathematics Iterative methods Repetitive processes Partial differential equations Electrical Engineering Artificial Intelligence (incl. Robotics) Circuits and Systems Signal, Image and Speech Processing
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Artificial Intelligence Signal Processing Information Systems Computer Science Applications Software Hardware and Architecture

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