1. Von Neumann stability analysis. a) Demonstrates, using Von Neumann's stability analysis, that the Crank-Nicolson method...

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1. Von Neumann stability analysis. a) Demonstrates, using Von Neumann's stability analysis, that the Crank-Nicolson method applied to the heat equation = do ôt with central divided differences in both time and space, it is unconditionally stable b) Similarly, it shows that the method Leap-frog applied to the above equation is unconditionally unstable. 1. Von Neumann stability analysis. a) Demonstrates, using Von Neumann's stability analysis, that the Crank-Nicolson method applied to the heat equation = do ôt with central divided differences in both time and space, it is unconditionally stable b) Similarly, it shows that the method Leap-frog applied to the above equation is unconditionally unstable.