Abstract
Gravitational-wave astronomy has transformed the study of compact objects, beginning with the first detection of gravitational waves from a binary black hole merger in 2015. Since then, the growing catalog of gravitational-wave observations has revealed increasingly diverse and challenging sources, including systems with higher mass ratios, larger spins, possible eccentricity, and higher signal-to-noise ratios. Interpreting these observations requires accurate numerical-relativity simulations and waveform models that remain reliable across a broader and more challenging region of parameter space.
This weeklong program will focus on numerical relativity for relativistic astrophysics and gravitational-wave science, with an emphasis on the Spectral Einstein Code (SpEC) and the open-source code SpECTRE. The program will include two closely connected activities: a summer school for graduate students and postdocs, and a face-to-face developers' workshop for researchers actively involved in SpEC and SpECTRE code development.
The summer school will provide participants with the tools needed to install, run, understand, and contribute to SpECTRE. Lectures and tutorials will introduce the key equations, algorithms, and computational infrastructure underlying modern numerical-relativity simulations, including the generalized harmonic formulation of Einstein's equations, general relativistic hydrodynamics, neutrinos and microphysics, discontinuous Galerkin methods with finite-volume subcells, shock capturing, Cauchy-characteristic evolution, initial data for binary merger simulations, visualization and analysis of simulation outputs, and pathways for contributing to code development. A hands-on tutorial will guide participants from a new SpECTRE installation to simulating a binary black hole. The school will also cover new topics motivated by scientific and technical developments since the previous workshop, including numerical relativity in alternative theories of gravity and practical guidance on using modern AI coding agents.
The developers' workshop will bring together core SpEC and SpECTRE developers for sustained, in-person discussion of code development priorities, recent advances, current bottlenecks, and open challenges. This group will interact closely with the summer school through lectures, tutorials, mentorship, and collaborative activities. By connecting student training with active code development, the program will expose participants to both established tools and the computational directions needed for the next generation of gravitational-wave science.