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Analytic Continuation of Local (Un)Stable Manifolds with Rigorous Computer Assisted Error Bounds
Work
Year: 2018
Type: article
Abstract: We develop a validated numerical procedure for continuation of local stable/unstable manifold patches attached to equilibrium solutions of ordinary differential equations. The procedure has two steps.... more
Source: SIAM Journal on Applied Dynamical Systems
Authors William D. Kalies, Shane Kepley, J. D. Mireles James
Institution Florida Atlantic University
Cites: 42
Cited by: 23
Related to: 10
FWCI: 6.17
Citation percentile (by year/subfield): 78.43
Topic: Numerical methods for differential equations
Subfield: Numerical Analysis
Field: Mathematics
Domain: Physical Sciences
Sustainable Development Goal Sustainable cities and communities
Open Access status: green
Funders National Science Foundation, National Science Foundation, Alfred P. Sloan Foundation
Grant IDS DMS-1318172, DMS-1700154, G-2016-7320