The field of numerical methods for dynamic systems is witnessing significant developments, with a focus on improving accuracy and efficiency. Researchers are exploring new algorithms and techniques to tackle complex problems, such as nonlinear structural dynamics and fractional differential equations. A key trend is the development of innovative time integration methods, including self-starting single-solve algorithms and data-driven approaches. These advances have the potential to enhance the precision and speed of simulations, making them more suitable for real-world applications. Noteworthy papers include:

• A study that proposes two new third-order explicit algorithms for solving second-order nonlinear dynamics, demonstrating superior accuracy and numerical stability.
• A paper that presents a fast and memoryless numerical method for solving fractional differential equations, leveraging a novel approximation of the fractional kernel. These contributions are expected to have a significant impact on the field, enabling more accurate and efficient simulations of complex dynamic systems.