User login

Navigation

You are here

Convergence of a Solution

mohamedlamine's picture

 

The Solution of a Differential Equation or a Set of Differential Equations Converges vers the Exact if it is Consistant and it is Stable : Lax's Theorem. Since the Exact is not always known it is convenient to apply this Theorem. Numerical instabilities are a result of Roundoff errors and Truncation errors. The Domain of Stability can be obtained from a Von Newman analysis in the Complex domain. This implies a condition (relation) between the variation steps. 

 

Mohammed Lamine 

Subscribe to Comments for "Convergence of a Solution"

More comments

Syndicate

Subscribe to Syndicate