SIMD-vectorized implicit symplectic integrators can outperform explicit symplectic ones (Ander Murua Uria)

26.05.2026 14:00 – 15:00

The main purpose of my talk is to present a SIMD-vectorized implementation of the symplectic 16th-order 8-stage implicit Runge-Kutta integrator based on collocation with Gauss-Legendre nodes (IRKGL16), and to show that it can outperform state-of-the-art symplectic explicit integrators for high-precision numerical integrations (in double-precision floating-point arithmetic) of non-stiff Hamiltonian ODE systems. Our IRKGL16 integrator, implemented in Julia, leverages Single Instruction Multiple Data (SIMD) based parallelism (in a way that is transparent to the user) to significantly enhance the performance of the sequential IRKGL16 implementation.

Lieu

Conseil Général 7-9, Room 1-05, Séminaire d'analyse numérique

entrée libre