5.3 Von-Neumann stability anslysis

Von-Neumann stability analysis of linear advection schemes
Download the notes from

[alexandermrkich]

Very useful and patiently explained. Many thanks.

[pacchutubu]

I have a question @13:12. Here you say we have two possible solutions due to +/-. Do you mean to say one of the sigh gives realistic solution and if we use other sign, we get unrealistic solution? thanks

[pacchutubu]

Firstly, thanks for the videos. They are very helpful. I have a question @2:05. Here you say, we need to multiply by complex number to move the wave. But doesn't multiplication by complex number just rotates it around x-axis? Sorry, I am a bit confused.

[fatihsarac]

Miss, firstly thank you pure explation of hard concepts. I had a question.

What is the way of unbounded analysis? I mean scheme is stable but the value of the fi increase. How can we create like this scheme and how can we analyze its stability?

[moonbear]

Thank you for the clear explanation. Two question arised:

Is there a stability analysis for implicit numerical methods using the finite volume method, similar to the Von-Neumann stability analysis?

Furthermore, is the diffusion number the equivalent to the courant number, just for pure diffusion?

[pacchutubu]

Say, I am advecting a square wave using an upwind scheme, which is stable and also consistent. Then it should also be convergent. But as time progresses, it gets diffused. That means it is not convergent. What am I missing here? Thanks

[lennoxnkambule]

thank you for your help. i have this question: how do you use the Von Neumann in the Lax-Wendroff scheme for the same parabolic pde?

[mohammadghani]

Nice, by the way, Does Von Neumann stability still work for the STEADY STATE?