Detecting unreliable computer simulations of recursive functions with interval extensions
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Publication:2318236
DOI10.1016/j.amc.2018.02.020zbMath1427.65411OpenAlexW2789972439WikidataQ59899212 ScholiaQ59899212MaRDI QIDQ2318236
Samir A. M. Martins, Bruno C. Silva, Matjaž Perc, Gleison F. V. Amaral, Erivelton Geraldo Nepomuceno
Publication date: 14 August 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2018.02.020
Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Algorithms with automatic result verification (65G20) Numerical methods for functional equations (65Q20)
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Cites Work
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- Lyapunov functions, shadowing and topological stability
- Computational chaos - a prelude to computational instability
- Do numerical orbits of chaotic dynamical processes represent true orbits?
- What good are numerical simulations of chaotic dynamical systems?
- On the analysis of pseudo-orbits of continuous chaotic nonlinear systems simulated using discretization schemes in a digital computer
- On the susceptibility of numerical methods to computational chaos and superstability
- An equation for continuous chaos
- Rigorous high-dimensional shadowing using containment: the general case
- Numerical Computing with IEEE Floating Point Arithmetic
- Can we trust in numerical computations of chaotic solutions of dynamical systems ?
- Nonlinear System Identification
- A Very Simple Method to Calculate the (Positive) Largest Lyapunov Exponent Using Interval Extensions
- Comparison between Binary and Decimal Floating-Point Numbers
- Arithmetic Algorithms for Extended Precision Using Floating-Point Expansions
- Introduction to Interval Analysis
- Representations of non-linear systems: the NARMAX model
- Is the Hénon attractor chaotic?
- Deterministic Nonperiodic Flow
- Chaos in Dynamical Systems
- Numerical Reproducibility and Parallel Computations: Issues for Interval Algorithms
- Simulation-Based Verification of Floating-Point Division
- Control-Theoretic Forward Error Analysis of Iterative Numerical Algorithms
- Simple mathematical models with very complicated dynamics
