Work

Implicit s-sub-step time integration schemes with (s+1)th-order accuracy and dissipation control

Year: 2025

Type: article

Abstract: We propose a family of higher-order implicit s-sub-step time integration methods achieving (s+1)th-order accuracy and dissipation control for 2 ≤ s ≤ 5 for the systems under external loadings. These schemes allow users to control numerical dissipation through a parameter . The methods do not require acceleration vectors during calculations; accelerations can be obtained using a simple process based on higher-order finite differences of the displacements, if needed. To maintain the order of accuracy in systems with external forces, we model the external force at the last sub-step. We present results from five linear and nonlinear examples to validate our theoretical findings, indicating that the proposed method offers more accurate responses compared to conventional methods with similar or reduced computational costs.

Source: Computers & Structures

DOI: 10.1016/j.compstruc.2025.107949

Authors: Chanju Lee, Gunwoo Noh

Institution: Korea University

Language: English

Topic: Numerical methods for differential equations

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,200

Funders: National Research Foundation of Korea, Ministry of Science and ICT, South Korea