Title of article
Linear conservation laws for ODEs
Author/Authors
L. F. Shampine، نويسنده ,
Issue Information
هفته نامه با شماره پیاپی سال 1997
Pages
9
From page
45
To page
53
Abstract
Some physical systems described by ODEs have quantities that are conserved as the system evolves. Runge-Kutta formulas and linear multistep methods preserve linear conservation laws automatically. A code for the integration of ODEs involves a number of algorithms in addition to the basic formula. It is shown here that popular codes preserve linear conservation laws if they are used properly. An application is made to differential-algebraic equations of index 2 arising in the solution of the Navier-Stokes equation by the method of lines.
Keywords
Conservation laws , BDF , Runge-Kutta , Linear multistep method , Adams
Journal title
Computers and Mathematics with Applications
Serial Year
1997
Journal title
Computers and Mathematics with Applications
Record number
918209
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