A convolutional-iterative solver for nonlinear dynamical systems

被引：2

作者：

Amiri-Hezaveh, A. ^{[1
]}

Ostoja-Starzewski, M. ^{[1
,2
,3
]}

机构：

[1] Univ Illinois, Dept Mech Sci & Engn, Champaign, IL USA

[2] Univ Illinois, Inst Condensed Matter Theory, Champaign, IL USA

[3] Univ Illinois, Beckman Inst, Champaign, IL USA

来源：

APPLIED MATHEMATICS LETTERS | 2022年 / 130卷

关键词：

Nonlinear solver; Convolution form; Dynamics; Conservation of energy & momenta; Higher accuracy; CONSERVING ALGORITHMS; ENERGY; MODELS;

D O I：

10.1016/j.aml.2022.107990

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2022 Elsevier Ltd. All rights reserved.

引用

页数：8

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