Stability in Euler method for integration: stability limit is h = -2/(lambda)

Jnash1997

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Oct 21, 2018
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So I'm not too sure whether this is to go into this section or the advanced maths section.

I'm doing the Euler method of integration and have been given that the stability limit for a stiff equation is
h=-2/(lambda)

where the given ode is:

dy/dt=lambda*y(t)

but i have then been given a 2x2 matrix instead of lambda and a vector instead of y so that the equation is now of the form

(dy_1/dt, dy_2/dt) = A*(y_1(t), y_2(t))

How do I then represent this stability limit?

Thanks in advance :)
 
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