Applying a centered leapfrog step in time and the centered second difference in space to gives
(1)
For every , each nonconstant Fourier mode has an amplification root of modulus greater than one, so the scheme is unconditionally unstable.

Ancestors (9)

  1. Amplification polynomial of a multilevel finite difference scheme
  2. Von Neumann stability analysis
  3. Finite difference method
  4. Finite difference
  5. Numerical analysis
  6. Analysis
  7. Area of mathematics
  8. Mathematics
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