Dynamics, numerical analysis and some geometry – Christian Lubich – ICM2018
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Загружено: 2018-09-19
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Plenary Lecture 18
Dynamics, numerical analysis and some geometry
Christian Lubich
Abstract: Geometric aspects play an important role in the construction and analysis of structure-preserving numerical methods for a wide variety of ordinary and partial differential equations. Here we review the development and theory of symplectic integrators for Hamiltonian ordinary and partial differential equations, of dynamical low-rank approximation of time-dependent large matrices and tensors, and its use in numerical integrators for Hamiltonian tensor network approximations in quantum dynamics.
ICM 2018 – International Congress of Mathematicians ©
www.icm2018.org
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