Abstract: A novel one-step formula is proposed for solving initial value problems based on a concept of eigenmode. It is characterized by problem dependency since it has problem-dependent coefficients, which are functions of the ...

Abstract: A structure-dependent integration method may experience an unusual overshooting behavior in the steady-state response of a high frequency mode. In order to explore this unusual overshooting behavior, a local truncation ...

Abstract: An unusual overshooting behavior might be experienced in the forced response of a high-frequency mode for a structure-dependent integration method. This unusual overshooting is different from that found in the free vibration ...

Abstract: Although the Chen–Ricles (CR) explicit method (CRM) (proposed by Chen and Ricles) has been claimed to have desired numerical properties, such as unconditional stability, explicit formulation, and second-order accuracy, ...