This minisymposium brings together researchers from mathematics and engineering to share recent advances in numerical methods for neutral and charged particle transport, radiative transfer, and the Boltzmann equation. These problems, arising in diverse areas in science and engineering such as nuclear engineering, astrophysics, plasma physics, and medical imaging, are often tackled using a broad spectrum of methods tailored to specific community needs. Approaches include space-angle Discontinuous Galerkin methods, discrete ordinates methods, spherical harmonics methods and related moment closure methods, and integral equation methods, among others. By fostering interdisciplinary exchange, this minisymposium aims to highlight both theoretical and computational developments that address common challenges across these fields. Particular focus will be placed on: • Efficient and robust solvers, including advanced preconditioning strategies, low-rank and hierarchical methods, and error-controlled computation; • Innovative discretization techniques, such as polygonal meshes and high-order schemes; • Eigenvalue problems related to stability and criticality in transport models. Contributions showcasing cross-cutting insights or comparative studies of numerical techni-ques across different applications are especially encouraged. The minisymposium also welco-mes work at the intersection of scientific machine learning and transport phenomena, as well as survey talks reviewing major recent advances. By bridging communities and methods, this event aims to foster collaboration and stimulate new directions in computational transport.