Application of Adaptive Multilevel Splitting to High-Dimensional Dynamical Systems

S. Baars, D. Castellana, F. W. Wubs, H. A. Dijkstra

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

Stochastic nonlinear dynamical systems can undergo rapid transitions relative to the change in their forcing, for example due to the occurrence of multiple equilibrium solutions for a specific interval of parameters. In this paper, we modify one of the methods developed to compute probabilities of such transitions, Trajectory-Adaptive Multilevel Sampling (TAMS), to be able to apply it to high-dimensional systems. The key innovation is a projected time-stepping approach, which leads to a strong reduction in computational costs, in particular memory usage. The performance of this new implementation of TAMS is studied through an example of the collapse of the Atlantic Ocean Circulation.
Original languageEnglish
Article number109876
Pages (from-to)1-12
Number of pages12
JournalJournal of Computational Physics
Volume424
DOIs
Publication statusPublished - 1 Jan 2021

Keywords

  • Model order reduction
  • Multilevel splitting
  • Ocean circulation
  • Rare transitions
  • Stochastic dynamical systems

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