Basic HTML version of Foils prepared 15 March 1996

Foil 22 Differential Operator and its Eigenvalues for Beam Warming Equations

From Introduction to Physics and Numerics of NAS Benchmarks CPSP713 Case studies in Computational Science -- Spring Semester 1996. by Geoffrey C. Fox
Note we follow same notation as NAS Benchmark Paper Equation (3.11)
Hirsch calls our
For Stability Analysis write the linear form:
K = W U
where W is for one dimension and second order differencing a 5 by 5 matrix
When analysing the convection equation with K = -v ¶ / ¶x , we get W = -ivk is pure imaginary

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