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Method of vector fitting and symplectic geometry

✍ Scribed by M. Kh. Zakhar-Itkin


Publisher
Springer US
Year
1978
Tongue
English
Weight
258 KB
Volume
12
Category
Article
ISSN
0016-2663

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The construction of exponentially fitted Runge-Kutta (EFRK) methods for the numerical integration of Hamiltonian systems with oscillatory solutions is considered. Based on the symplecticness, symmetry, and exponential fitting properties, two new threestage RK integrators of the Gauss type with fixed

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## Abstract We review the notions of symplectic and orthogonal vector bundles over curves, and the connection between principal parts and extensions of vector bundles. We give a criterion for a certain extension of rank 2__n__ to be symplectic or orthogonal. We then describe almost all of its rank