Welcome to UCLA Department of Mathematics Multi-Physics Lagrangian-Eulerian Simulations (MultiPLES) Laboratory. We focus on advancing the state of the art in scientific computing, particularly numerical methods and computational continuum mechanics. A large part of our research involves the multi-physics simulation of solids, fluids, and granular materials, especially through the enhancement of numerical methods for partial differential equations (PDEs) in terms of the scope of material modeling, geometric complexity, scale and resolution, efficiency, as well as stability, robustness, accuracy, and real-world predictivity. Not only have our research efforts yielded innovations in relatively traditional areas such as geophysics and contact mechanics, but, more significantly, they have also enabled modern applications, including virtual reality and high-fidelity visual effects for the entertainment industry, surgical training technologies, computer vision and soft robotics, computational fabrication, and exascale computational platforms.