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math.NA2025
Low-Rank Solvers for Energy-Conserving Hamiltonian Boundary Value Methods
Fabio Durastante, Mariarosa Mazza
We study energy-conserving Hamiltonian Boundary Value Methods (HBVMs) for Hamiltonian systems, which arise in applications where long-term preservation of energy and symplecticity…
math.NA2025
Stage-Parallel Implicit Runge--Kutta methods via low-rank matrix equation corrections
Fabio Durastante, Mariarosa Mazza
Implicit Runge--Kutta (IRK) methods are highly effective for solving stiff ordinary differential equations (ODEs) but can be computationally expensive for large-scale problems due…