Numerical Shadowing Using Componentwise Bounds and a Sharper Fixed Point Result
Author:
Publisher
Society for Industrial & Applied Mathematics (SIAM)
Subject
Applied Mathematics,Computational Mathematics
Link
http://epubs.siam.org/doi/pdf/10.1137/S1064827599353452
Reference22 articles.
1. On the Hamiltonian interpolation of near-to-the identity symplectic mappings with application to symplectic integration algorithms
2. On the Numerical Approximation of Phase Portraits Near Stationary Points
3. A Shadowing Lemma with Applications to Semilinear Parabolic Equations
4. On the numerical computation of orbits of dynamical systems: The higher dimensional case
5. Shadowing orbits of ordinary differential equations on invariant submanifolds
Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Projected Shadowing-Based Data Assimilation;SIAM Journal on Applied Dynamical Systems;2018-01
2. Global error analysis and inertial manifold reduction;Journal of Computational and Applied Mathematics;2016-12
3. Approximate Solutions by Truncated Taylor Series Expansions of Nonlinear Differential Equations and Related Shadowing Property with Applications;Abstract and Applied Analysis;2014
4. Rigorous Shadowing of Numerical Solutions of Ordinary Differential Equations by Containment;SIAM Journal on Numerical Analysis;2003-01
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