Conservation of Energy in Newmark Scheme

This lecture discusses the conservation of energy in the Newmark scheme, demonstrating how energy is conserved from one time step to the next by analyzing the terms and equations involved in the process. The instructor explains the derivation step by step, emphasizing the importance of energy conservation for stability. Additionally, the lecture touches upon the relationship between energy conservation, stability, and error estimates in numerical schemes, highlighting the key components that contribute to optimal error estimates. The instructor concludes by encouraging further analysis of the implicit Newmark scheme through exercises to deepen understanding.