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Validated Numerical Approximation of Stable Manifolds for Parabolic Partial Differential Equations

Jan Bouwe van den Berg, Jonathan Jaquette, J. D. Mireles James

Journal of Dynamics and Differential Equations · 2022 · 10 citations · 49 references

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49

Inertial manifolds for nonlinear evolutionary equations

Ciprian Foiaş, George R. Sell, Roger Témam · Journal of Differential Equations · 1988 · 733 citations

, , +12

A Rigorous ODE Solver and Smale’s 14th Problem

Warwick Tucker · Foundations of Computational Mathematics · 2002 · 476 citations · Full text

, , +13

The parameterization method for invariant manifolds I: Manifolds associated to non-resonant subspaces

Xavier Cabré, Ernest Fontich, Rafael de la Llave · Indiana University Mathematics Journal · 2003 · 290 citations · Full text

, , +9

Invariant manifolds for flows in Banach spaces

Shui-Nee Chow, Kening Lu · Journal of Differential Equations · 1988 · 275 citations

, , +8

The parameterization method for invariant manifolds III: overview and applications

Xavier Cabré, Ernest Fontich, Rafael de la Llave · Journal of Differential Equations · 2005 · 274 citations

, , +10