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math.NA2023
Cost-reduction implicit exponential Runge-Kutta methods for highly oscillatory systems
Xianfa Hu, Wansheng Wang, Bin Wang +1
In this paper, two novel classes of implicit exponential Runge-Kutta (ERK) methods are studied for solving highly oscillatory systems. First of all, we analyze the symplectic condi…
math.NA2023
A novel class of linearly implicit energy-preserving schemes for conservative systems
Xicui Li, Bin Wang, Xin Zou
We consider a kind of differential equations d/dt y(t) = R(y(t))y(t) + f(y(t)) with energy conservation. Such conservative models appear for instance in quantum physics, engineerin…