On second-order s-sub-step explicit algorithms with controllable dissipation and adjustable bifurcation point for second-order hyperbolic problems

• Main Authors: Li, Jinze, Li, Hua, Zhao, Rui, Yu, Kaiping
• Other Authors: School of Mechanical and Aerospace Engineering
• Format: Article
• Language: English
• Published: 2023
• Subjects: Engineering::Mechanical engineering; Explicit Algorithms; Composite S-Sub-Step
• Online Access: https://hdl.handle.net/10356/164701
• Institution: Nanyang Technological University

This paper proposes a self-starting, second-order accurate, composite s-sub-step explicit method, within which the first five explicit members are developed, analyzed, and compared. Each member attains maximal stability bound, reaching 2×s, where s denotes the number of sub-steps. Identical diagonal...