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Sergei Solodky, "Optimization of numerical differentiation methods. Approximation and information aspects."

When

Jun 05, 2025 from 04:00 to 05:00 (Europe/Berlin / UTC200)

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Online

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Abstract: We incorporate the so-called self-regularization into the numerical differentiation of bivariate functions. The proposed approach combines the truncation Legendre method and a discretization scheme using the idea of a hyperbolic cross. It is shown that numerical differentiation methods constructed in this way have a simple implementation and are optimal in terms of accuracy and amount of discrete information used.