The aim of this course is to provide a comprehensive exploration of advanced techniques for implementing numerical solutions to the classical, gravitational N-body problem using Graphics Processing Units (GPUs) with Compute Unified Device Architecture (CUDA). Through a step-by-step process, we will go through the mathematical foundations of the classical N-Body problem, illuminating why it presents one of the most demanding computational challenges ideally suited for GPU acceleration.
Participants will delve into the implementation of GPU-based Hermite integrators, specifically tailored for tackling the differential equations inherent in the N-body problem. Additionally, we will dissect effective strategies for implementing neighbor schemes on GPUs, strategically engineered to enhance overall computation speed and efficiency.
Upon completion of the course, students will emerge equipped with the expertise to significantly accelerate N-body calculations leveraging GPUs, armed with a diverse toolkit of numerical techniques applicable not only to N-body simulations but also to a plethora of other GPU-driven algorithms.
