The recent developments in computational mechanics and material science have seen significant advancements in the modeling of complex physical phenomena. Researchers are increasingly focusing on integrating high-order numerical methods with advanced material models to simulate large deformations, dynamic interactions, and microstructural evolutions with greater accuracy and efficiency. The field is moving towards more physically consistent and computationally efficient algorithms, leveraging techniques such as automatic differentiation, phase-field modeling, and isogeometric analysis to overcome traditional limitations. These innovations are paving the way for more precise simulations in areas such as viscoelastic beam dynamics, slope stability analysis, and material point method applications, with notable improvements in computational speed and accuracy. Notably, the use of phase-field models for micromechanics during viscous sintering and the development of an efficient slope stability algorithm with physically consistent parameterization of slip surfaces are particularly groundbreaking, offering new insights and practical tools for engineering applications.