22 citations · 24 across the 9 of their papers we have counts for
10 papers
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…
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…
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…
Large-stepsize integrators for charged-particle dynamics over multiple time scales
Ernst Hairer, Christian Lubich, Yanyan Shi
The Boris algorithm, a closely related variational integrator and a newly proposed filtered variational integrator are studied when they are used to numerically integrate the equat…
A filtered Boris algorithm for charged-particle dynamics in a strong magnetic field
Ernst Hairer, Christian Lubich, Bin Wang
A modification of the standard Boris algorithm, called filtered Boris algorithm, is proposed for the numerical integration of the equations of motion of charged particles in a stro…
Dynamics, numerical analysis, and some geometry
Ludwig Gauckler, Ernst Hairer, Christian Lubich
Geometric aspects play an important role in the construction and analysis of structure-preserving numerical methods for a wide variety of ordinary and partial differential equation…