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Author Madsen, Niel K.
Source ACM Digital Library
Content type Text
Publisher Association for Computing Machinery (ACM)
File Format PDF
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Abstract The numerical solution of time dependent nonlinear partial differential equations is a complicated and nontrivial process. Generally speaking, the solution of slightly different types of partial differential equations has required the development of separate and different computer programs. This situation for partial differential equations is in direct contrast to that for ordinary differential equations. Recently, sophisticated and reliable computer programs for the automatic solution of nonlinear systems of ordinary differential equations have become available. The use of the <u>method of lines</u> approach for solving partial differential equations is an attempt to take advantage of these recent significant developments for ordinary differential equations. In this presentation we will compare the advantages and disadvantages of this approach. We will describe how the method of lines approach for solving PDE's allows one to be able to develope very general purpose computer software for solving broad classes of problems. The structure and use of this software will be described. Finally, numerical results obtained with this general purpose software will be presented and discussed.
Description Affiliation: Lawrence Livermore Lab. (Madsen, Niel K.)
Age Range 18 to 22 years ♦ above 22 year
Educational Use Research
Education Level UG and PG
Learning Resource Type Article
Publisher Date 1990-01-01
Publisher Place New York
Journal ACM SIGNUM Newsletter (SGNM)
Volume Number 10
Issue Number 4
Page Count 3
Starting Page 5
Ending Page 7


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Source: ACM Digital Library