Adaptive interpolation algorithm using TT-decomposition for modeling dynamical systems with interval parameters
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Publication:2245903
DOI10.1134/S0965542521090098zbMath1487.65085OpenAlexW3207832568MaRDI QIDQ2245903
Publication date: 15 November 2021
Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0965542521090098
Numerical methods for initial value problems involving ordinary differential equations (65L05) Applications to the sciences (65Z05)
Related Items (3)
Оценивание множеств решений линейных систем обыкновенных дифференциальных уравнений с возмущениями на основе оператора Коши;The estimation of solutions sets of linear systems of ordinary differential equations with perturbations based on the Cauchy operator ⋮ Parallel approximation of multidimensional tensors using GPUs ⋮ Interval approach to solving parametric identification problems for dynamical systems
Uses Software
Cites Work
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- Tensor-Train Decomposition
- TT-cross approximation for multidimensional arrays
- Pseudo-skeleton approximations by matrices of maximal volume
- Adaptive interpolation algorithm based on a kd-tree for numerical integration of systems of ordinary differential equations with interval initial conditions
- Direct tensor-product solution of one-dimensional elliptic equations with parameter-dependent coefficients
- Solving interval linear least squares problems by PPS-methods
- Methods for nonnegative matrix factorization based on low-rank cross approximations
- Multi-implicit methods with automatic error control in applications with chemical reactions
- Introduction to Interval Analysis
- Tensor approximations of matrices generated by asymptotically smooth functions
- Searching for Uncertainty Regions of Kinetic Parameters in the Mathematical Models of Chemical Kinetics Based on Interval Arithmetic
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