Restructures incremental SVD to batch updates, proving exact-arithmetic equivalence, a sharpened sqrt(n) tol truncation bound, and orthogonality loss independent of stream length n under a probabilistic rounding model.
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Decomposition plus ASI scheme on Shishkin mesh yields provably high accuracy for 1D singularly perturbed convection-diffusion problems, outperforming the Samarskii class.
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An Improved Incremental Singular Value Decomposition and New Error Bounds
Restructures incremental SVD to batch updates, proving exact-arithmetic equivalence, a sharpened sqrt(n) tol truncation bound, and orthogonality loss independent of stream length n under a probabilistic rounding model.
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Improving the Accuracy of the Exponentially Fitted Scheme on Piecewise Uniform Meshes
Decomposition plus ASI scheme on Shishkin mesh yields provably high accuracy for 1D singularly perturbed convection-diffusion problems, outperforming the Samarskii class.