Amplification factor: In von Neumann stability analysis (or Fourier stability analysis) the effect of a small error on the scheme is studied by decomposing the error in Fourier modes and is measured by the ratio of a typical mode in two consecutive time steps.(see section 2.4).
Approximate factorization: When an implicit scheme is decomposed into factors it is known as approximate factorization.
Boundary condition: Condition that holds on the boundary of the physical domain for all time.
Cauchy problem: It is an initial value problem for a hyperbolic type partial differential equation in which continuous functions are prescribed for the value of the unknown and its first derivative on the initial line.
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