A convolutional-iterative solver for nonlinear dynamical systems

A. Amiri-Hezaveh, M. Ostoja-Starzewski

Research output: Contribution to journalArticlepeer-review


In this paper, a new solver is developed to obtain the solution of nonlinear dynamical systems. The method is based on alternative field equations in which the convolution product appears in place of dot products. The technique is higher-order accurate in the sense that the accuracy is not lost by increasing the time-step, conserving constants of motion. Several examples, including bilinear hardening and softening mass–spring systems and a nonlinear elastic pendulum, are considered to show the validity of the new method.

Original languageEnglish (US)
Article number107990
JournalApplied Mathematics Letters
StatePublished - Aug 2022


  • Conservation of energy & momenta
  • Convolution form
  • Dynamics
  • Higher accuracy
  • Nonlinear solver

ASJC Scopus subject areas

  • Applied Mathematics


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