New high order symplectic integrators via generating functions with its application in many-body problem
Sign Up to like & getrecommendations! Published in 2019 at "BIT Numerical Mathematics"
DOI: 10.1007/s10543-019-00785-0
Abstract: A new family of high order one-step symplectic integration schemes for separable Hamiltonian systems with Hamiltonians of the form $$T(p) + U(q)$$ T ( p ) + U ( q ) is presented. The new… read more here.
Keywords: order symplectic; order; many body; new high ... See more keywords
Simulating Maxwell–Schrödinger Equations by High-Order Symplectic FDTD Algorithm
Sign Up to like & getrecommendations! Published in 2019 at "IEEE Journal on Multiscale and Multiphysics Computational Techniques"
DOI: 10.1109/jmmct.2019.2920101
Abstract: A novel symplectic algorithm is proposed to solve the Maxwell–Schrödinger (M–S) system for investigating light–matter interaction. Using the fourth-order symplectic integration and fourth-order collocated differences, M–S equations are discretized in temporal and spatial domains, respectively.… read more here.
Keywords: schr dinger; order symplectic; maxwell schr; order ... See more keywords