The field of numerical methods for complex systems is rapidly evolving, with a focus on developing efficient and accurate algorithms for solving partial differential equations and integral equations. Recent developments have centered around improving the performance of existing methods, such as the fast summation of Stokes potentials and the stabilization of singularity swap quadrature for near-singular line integrals. Additionally, new methods have been proposed, including parallel-in-time combination methods for parabolic problems and space-time generalized finite difference methods for solving transient Stokes/Parabolic interface problems. These advancements have significant implications for a range of applications, from fluid dynamics and materials science to biology and medicine. Noteworthy papers include: A paper on fast summation of Stokes potentials using a new kernel-splitting in the DMK framework, which yields new efficient splittings for the Stokeslet, stresslet, and elastic kernels. A paper on stabilizing the singularity swap quadrature for near-singular line integrals, which introduces a simple yet powerful remedy to achieve close to machine precision for prototype integrals. A paper on quasi-Monte Carlo methods for uncertainty quantification of tumor growth modeled by a parametric semi-linear parabolic reaction-diffusion equation, which shows that QMC methods can be successful in computing expectations of meaningful quantities of interest.