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math.NA2025
On calculation of canonical decomposition of Tensor via the grid of local discrepancies
A. K. Alekseev, A. E. Bondarev, Y. S. Pyatakova
The method for calculation of the canonical decomposition that approximates a tensor of high order is considered, which requires moderate computational resources. It is based on th…
math.NA2024
The Numerical Solution in the Sense of Prager&Synge
A. K. Alekseev, A. E. Bondarev
The solution in sense of Prager&Synge is the alternative to the commonly used notion of the numerical solution, which is considered as a limit of grid functions at mesh refinement.…
math.NA2020★ 1 cited
On the relation of truncation and approximation errors for the set of solutions obtained by different numerical methods
A. K. Alekseev, A. E. Bondarev
The truncation and approximation errors for the set of numerical solutions computed by methods based on the algorithms of different structure are calculated and analyzed for the ca…