On Perturbations of Stability Inequalities with an Application to Finite Difference Approximations of ODE's.
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WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
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In the framework of Stummels discrete approximation theory, a perturbation theorem for inverse stability inequalities is proven. As an application, the inverse stability of compact finite difference schemes approximating two-point boundary value problems for linear ordinary differential equations on nonuniform grids is established. Author
- Theoretical Mathematics