Rigorous numerics for dissipative PDEs III. An effective algorithm for rigorous integration of dissipative PDEs
Keywords
Periodic orbits, dissipative PDEs, Galerkin projection, rigorous numerics, computer assisted proofAbstract
We describe a Lohner-type algorithm for rigorous integration of dissipative PDEs. Using it for the Kuramoto-Sivashinsky PDE on the line with odd and periodic boundary conditions we give a computer assisted proof the existence of multiple periodic orbits.Downloads
Published
2010-04-23
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ZGLICZYŃSKI, Piotr. Rigorous numerics for dissipative PDEs III. An effective algorithm for rigorous integration of dissipative PDEs. Topological Methods in Nonlinear Analysis. Online. 23 April 2010. Vol. 36, no. 2, pp. 197 - 262. [Accessed 23 April 2024].
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