Exponential integrators preserving first integrals or Lyapunov functions for conservative or dissipative systems

12/24/2020 ∙ by Yu-Wen Li, et al. ∙ 0

In this paper, combining the ideas of exponential integrators and discrete gradients, we propose and analyze a new structure-preserving exponential scheme for the conservative or dissipative system ẏ = Q(M y + ∇ U (y)), where Q is a d× d skew-symmetric or negative semidefinite real matrix, M is a d× d symmetric real matrix, and U : ℝ^d→ℝ is a differentiable function. We present two properties of the new scheme. The paper is accompanied by numerical results that demonstrate the remarkable superiority of our new scheme in comparison with other structure-preserving schemes in the scientific literature.

READ FULL TEXT
POST COMMENT

Comments

There are no comments yet.

Authors

page 1

page 2

page 3

page 4

This week in AI

Get the week's most popular data science and artificial intelligence research sent straight to your inbox every Saturday.