Rigorous numerics for dissipative PDEs III. An effective algorithm for rigorous integration of dissipative PDEs
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Periodic orbits, dissipative PDEs, Galerkin projection, rigorous numerics, computer assisted proofAbstrakt
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.Pobrania
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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 kwiecień 2010, T. 36, nr 2, s. 197–262. [udostępniono 22.7.2024].
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