Stable difference schemes with uneven mesh spacings

Ciment, Melvyn

doi:10.1090/S0025-5718-1971-0300470-3

Stable difference schemes with uneven mesh spacings
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Math. Comp. 25 (1971), 219-227 Request permission

Abstract:

We consider a finite-difference approximation to the Cauchy problem for a firstorder hyperbolic partial differential equation using different mesh spacings in different portions of the domain. By reformulating our problem as a difference approximation to an initial-boundary value problem, we are able to use the theory of H. O. Kreiss and S. Osher to analyze the ${L_2}$ stability of our scheme.

References

Stable Difference Schemes With Uneven Mesh Spacings

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