The field of numerical methods for differential equations is witnessing significant developments, with a focus on improving accuracy, stability, and efficiency. Researchers are exploring new approaches to solve nonlinear integral equations, ordinary differential equations, and fractional differential equations. One notable trend is the use of high-precision methods, such as the Newton-Kantorovich method, to increase stability and accuracy in problems sensitive to rounding and dispersion. Another area of interest is the development of parallel-in-time solvers, which can significantly improve runtime compared to traditional methods. Additionally, invariant-preserving integration methods are being developed to numerically solve differential equations while preserving invariants, which is crucial in many scientific and engineering applications. Noteworthy papers include: A parallel-in-time Newton's method-based ODE solver, which introduces a novel parallel-in-time solver for nonlinear ordinary differential equations. Explicit invariant-preserving integration of differential equations using homogeneous projection, which develops a general framework for numerically solving differential equations while preserving invariants.