Efficient exponential time integration for simulating nonlinear coupled oscillators

In this paper, we propose an advanced time integration technique associated with explicit exponential Rosenbrock-based methods for the simulation of large stiff systems nonlinear coupled oscillators. particular, a novel reformulation these is introduced and general family efficient Rosenbrock schemes simulating reformulated system derived. Moreover, show required regularity conditions prove convergence We present implementation new approach discuss several applications in scientific visual computing. The accuracy efficiency our are demonstrated through broad spectrum numerical examples, including Fermi–Pasta–Ulam–Tsingou model, elastic nonelastic deformations as well collision scenarios focusing on relevant aspects such stability energy conservation, stiffness, high fidelity, accuracy.