Analysis and optimization of an adaptive interpolation algorithm for the numerical solution of a system of ordinary differential equations with interval parameters
From MaRDI portal
Publication:2196182
DOI10.1134/S0012266120070125zbMath1453.65159OpenAlexW3047864791MaRDI QIDQ2196182
A. Yu. Morozov, D. L. Reviznikov, Artem A. Zhuravlev
Publication date: 28 August 2020
Published in: Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0012266120070125
General methods in interval analysis (65G40) Numerical methods for initial value problems involving ordinary differential equations (65L05)
Related Items (3)
Parallel approximation of multidimensional tensors using GPUs ⋮ Adaptive interpolation algorithm on sparse meshes for numerical integration of systems of ordinary differential equations with interval uncertainties ⋮ Interval approach to solving parametric identification problems for dynamical systems
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Applicability of the interval Taylor model to the computational proof of existence of periodic trajectories in systems of ordinary differential equations
- Local adaptive mesh refinement for shock hydrodynamics
- Adaptive interpolation algorithm based on a kd-tree for numerical integration of systems of ordinary differential equations with interval initial conditions
- Algorithms for constructing isolating sets of phase flows and computer-assisted proofs with the use of interval Taylor models
- On Multivariate Lagrange Interpolation
- Verified Computations Using Taylor Models and Their Applications
- Некоторые точные решения задачи о течении жидкости в сокращающемся эластичном сосуде
This page was built for publication: Analysis and optimization of an adaptive interpolation algorithm for the numerical solution of a system of ordinary differential equations with interval parameters