Structure-preserving Exponential Runge-Kutta Methods

  title={Structure-preserving Exponential Runge-Kutta Methods},
  author={Ashish Bhatt and Brian E. Moore},
  journal={SIAM J. Sci. Comput.},
Exponential Runge--Kutta (ERK) and partitioned exponential Runge--Kutta (PERK) methods are developed for solving initial value problems with vector fields that can be split into conservative and linear nonconservative parts. The focus is on linearly damped ordinary differential equations that possess certain invariants when the damping coefficient is zero, but, in the presence of constant or time-dependent linear damping, the invariants satisfy linear differential equations. Similar to the way… 
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