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convergenc and consistency

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Old   March 25, 2013, 10:33
Default convergenc and consistency
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shahrbanoo
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Hi
what is the difference between convergenc and consistency?
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Old   March 25, 2013, 12:19
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Filippo Maria Denaro
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Originally Posted by shahrbanoo View Post
Hi
what is the difference between convergenc and consistency?
convergence is referred to the solution: the discretization error (f_exact-f_numeric) goes to zero as the integration parameters go to zero.

consistency is referred to the whole discretization: the local truncation error goes to zero as the integration parameters go to zero.

The Lax theorem states that a stable and consistence (linear) scheme ensures convergences
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