High order Runge-Kutta methods on manifolds

Extrapolation in lie groups with approximated BCH-formula

Applied Numerical Mathematics

Complexity theory for lie-group solvers

Journal of Complexity

Optimization of Lie group methods for differential equations

Future Generation Computer Systems - Special issue: Geometric numerical algorithms

Commutator-free Lie group methods

Future Generation Computer Systems - Special issue: Geometric numerical algorithms

On enumeration problems in Lie-Butcher theory

Future Generation Computer Systems - Selected papers on theoretical and computational aspects of structural dynamical systems in linear algebra and control

Generalized integrating factor methods for stiff PDEs

Journal of Computational Physics

EXPINT---A MATLAB package for exponential integrators

ACM Transactions on Mathematical Software (TOMS)

Fourth-and sixth-order commutator-free Magnus integrators for linear and non-linear dynamical systems

Applied Numerical Mathematics

Lie group integrators with non-autonomous frozen vector fields

International Journal of Computational Science and Engineering

Descent methods for optimization on homogeneous manifolds

Mathematics and Computers in Simulation

Numerical Experiments for Reaction-Diffusion Equations Using Exponential Integrators

Numerical Analysis and Its Applications

Smale's point estimate theory for Newton's method on Lie groups

Journal of Complexity

A method for approximation of the exponential map in semidirect product of matrix Lie groups and some applications

Journal of Computational and Applied Mathematics

A survey on methods for computing matrix exponentials in numerical schemes for ODEs

ICCS'03 Proceedings of the 2003 international conference on Computational science: PartII

Performance evaluation of numerical integration methods in the physics engine

CIS'04 Proceedings of the First international conference on Computational and Information Science

Numerical simulations of reaction-diffusion systems arising in chemistry using exponential integrators

LSSC'09 Proceedings of the 7th international conference on Large-Scale Scientific Computing

Symmetric partitioned Runge-Kutta methods for differential equations on Lie groups

Applied Numerical Mathematics

Numerical computation of connecting orbits on a manifold

Numerical Algorithms

An introduction to Lie group integrators - basics, new developments and applications

Journal of Computational Physics

On the choice of configuration space for numerical Lie group integration of constrained rigid body systems

Journal of Computational and Applied Mathematics