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The Electronic Transactions on Numerical Analysis (ETNA) is an electronic journal for the publication of significant new developments in numerical analysis and scientific computing. Papers of the highest quality that deal with the development and analysis of numerical methods, including rigorous studies of the convergence of algorithms, their accuracy, stability, and complexity. Numerical methods for the solution of continuous models as well as papers in numerical linear algebra are appropriate for ETNA, as are papers of similar quality that discuss implementation and performance of such algorithms. Papers on the approximation of functions and quadrature are appropriate only if they have a significant impact on scientific computing. Contributions that focus on applications are suitable provided they discuss novel computational methods. New algorithms for current or new computer architectures are appropriate provided that they are numerically sound. However, the focus of the publication should be on the algorithm rather than on the architecture.