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Foil 40 Stable Finite Difference Form of Discretized Pittsburgh Wave Equations-I

From Numerical Formulation and Solution of Collision 0f two Black Holes CPSP713 Case studies in Computational Science -- Spring Semester 1996. by Geoffrey C. Fox
1 Alternatively we can view as a brilliant choice of finite difference scheme
2 Which is justified a posteriori by the Von Neumann stability analysis given in Pittsburgh memo which shows all eigenvalues have unit modulus as required for
  • Stable algorithm preserving magnitude of amplitude.
3 This clever choice is:
4 Giving:
in Table To:

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