Adaptive interpolation algorithm using TT-decomposition for modeling dynamical systems with interval parameters

DOI10.1134/S0965542521090098zbMath1487.65085OpenAlexW3207832568MaRDI QIDQ2245903

Yanyan Li

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

zbMATH Keywords

chemical kineticsadaptive interpolation algorithmtensor traininterval ODEsTT-decomposition

Mathematics Subject Classification ID

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

• GitHub

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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