Title of article :
Conservation laws and the numerical solution of ODEs, II
Author/Authors :
L. F. Shampine، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 1999
Abstract :
Some ODEs have conservation laws, functions of a solution with constant values. Generally, numerical solutions do not satisfy these laws. This can mean that the numerical solution does not have the right qualitative behavior. The theory and practice of imposing conservation laws by projection is developed here for all the popular numerical methods.
Keywords :
Conservation laws , invariants , Linear multistep method , Runge-Kutta , BDF , Adams , Projection
Journal title :
Computers and Mathematics with Applications
Journal title :
Computers and Mathematics with Applications