3 papers
math.NA2025
A fast and memoryless numerical method for solving fractional differential equations
Nicola Guglielmi, Ernst Hairer
The numerical solution of implicit and stiff differential equations by implicit numerical integrators has been largely investigated and there exist many excellent efficient codes a…
math.NA2024
Applying stiff integrators for ODEs and DDEs to problems with distributed delays
Nicola Guglielmi, Ernst Hairer
There exist excellent codes for an efficient numerical treatment of stiff and differential-algebraic problems. Let us mention {\sc Radau5} which is based on the -stage Radau IIA…
math.NA2023
Leapfrog methods for relativistic charged-particle dynamics
Ernst Hairer, Christian Lubich, Yanyan Shi
A basic leapfrog integrator and its energy-preserving and variational / symplectic variants are proposed and studied for the numerical integration of the equations of motion of rel…