A program for the numerical solution of large sparse systems of algebraic and implicitly defined stiff differential equations
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Authors
Franke, Richard
Subjects
Gear's Method
Differential-Algebraic systems
Stiff equations
Sparse matrices
Finite element method
Differential-Algebraic systems
Stiff equations
Sparse matrices
Finite element method
Advisors
Date of Issue
1976-05
Date
October 1975 - April 1976
Publisher
Monterey, California. Naval Postgraduate School
Language
eng
Abstract
This report documents a program for the numerical solution of
large sparse systems of algebraic and implicitly defined stiff differential
equations. The principal use is intended to be the solution of
differential equations arising from time dependent partial differential
equations when the finite element method is used to discretize the
space domain. The use of compact matrix storage techniques and iteration
for the solution of the quasi-Newton iterates in Gear's method makes
the program extremely efficient both in terms of storage requirements
and execution times.
Type
Technical Report
Description
Series/Report No
Department
Identifiers
NPS Report Number
NPS-53Fe76051
Sponsors
Funder
N0001476WR60052
Format
Citation
Distribution Statement
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.