| Publication | Date of Publication | Type |
|---|
| Using aromas to search for preserved measures and integrals in Kahan’s method | 2024-04-16 | Paper |
| Dynamical Systems–Based Neural Networks | 2023-12-20 | Paper |
| Neural networks for the approximation of Euler's elastica | 2023-12-01 | Paper |
| Dynamics of the N-fold Pendulum in the Framework of Lie Group Integrators | 2023-09-15 | Paper |
| Predictions Based on Pixel Data: Insights from PDEs and Finite Differences | 2023-05-01 | Paper |
| Detecting and determining preserved measures and integrals of birational maps | 2022-11-08 | Paper |
| Learning Hamiltonians of constrained mechanical systems | 2022-10-06 | Paper |
| Computational geometric methods for preferential clustering of particle suspensions | 2022-05-03 | Paper |
| Lie group integrators for mechanical systems | 2022-02-22 | Paper |
| Structure-preserving deep learning | 2021-12-08 | Paper |
| Equivariant neural networks for inverse problems | 2021-08-13 | Paper |
| The Magnus expansion and post-Lie algebras | 2020-08-27 | Paper |
| Structure preserving deep learning | 2020-06-05 | Paper |
| Deep learning as optimal control problems: models and numerical methods | 2020-02-20 | Paper |
| Energy-preserving methods on Riemannian manifolds | 2019-12-27 | Paper |
| Variable step size commutator free Lie group integrators | 2019-11-27 | Paper |
| Geometric and integrability properties of Kahan’s method: the preservation of certain quadratic integrals | 2019-11-19 | Paper |
| Three classes of quadratic vector fields for which the Kahan discretisation is the root of a generalised Manin transformation | 2019-10-07 | Paper |
| A novel approach to rigid spheroid models in viscous flows using operator splitting methods | 2019-08-06 | Paper |
| Computational geometric methods for preferential clustering of particle suspensions | 2019-07-27 | Paper |
| Predicting football tables by a maximally parsimonious model | 2019-05-16 | Paper |
| Dissipative Numerical Schemes on Riemannian Manifolds with Applications to Gradient Flows | 2018-11-21 | Paper |
| Adaptive energy preserving methods for partial differential equations | 2018-07-24 | Paper |
| Discretization of polynomial vector fields by polarization | 2017-09-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2960809 | 2017-02-17 | Paper |
| Two classes of quadratic vector fields for which the Kahan discretization is integrable | 2017-01-30 | Paper |
| An introduction to Lie group integrators - basics, new developments and applications | 2016-12-20 | Paper |
| Geometric integration of non-autonomous linear Hamiltonian problems | 2016-04-22 | Paper |
| Lie group integrators | 2016-01-18 | Paper |
| Integrability properties of Kahanʼs method | 2014-10-10 | Paper |
| The minimal stage, energy preserving Runge–Kutta method for polynomial Hamiltonian systems is the averaged vector field method | 2014-06-04 | Paper |
| Preserving energy resp. dissipation in numerical PDEs using the ``Average Vector Field method | 2014-04-23 | Paper |
| Preserving first integrals with symmetric Lie group methods | 2013-11-11 | Paper |
| Geometric properties of Kahan's method | 2013-05-17 | Paper |
| A General Framework for Deriving Integral Preserving Numerical Methods for PDEs | 2012-02-23 | Paper |
| Topics in structure-preserving discretization | 2011-11-24 | Paper |
| Preserving multiple first integrals by discrete gradients | 2011-08-19 | Paper |
| Energy-preserving integrators and the structure of B-series | 2010-11-12 | Paper |
| Structure of B-series for Some Classes of Geometric Integrators | 2010-01-22 | Paper |
| Energy-preserving Runge-Kutta methods | 2009-08-06 | Paper |
| Plane wave stability of some conservative schemes for the cubic Schrödinger equation | 2009-08-06 | Paper |
| B-series and Order Conditions for Exponential Integrators | 2006-06-02 | Paper |
| Order conditions for commutator-free Lie group methods | 2006-05-22 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5710736 | 2005-12-08 | Paper |
| Cost efficient Lie group integrators in the RKMK class | 2004-03-15 | Paper |
| On the implementation of Lie group methods on the Stiefel manifold | 2003-08-06 | Paper |
| Lie group methods for rigid body dynamics and time integration on manifolds | 2003-05-06 | Paper |
| A Class of Intrinsic Schemes for Orthogonal Integration | 2003-01-05 | Paper |
| A note on the construction of Crouch-Grossman methods | 2002-03-19 | Paper |
| Quadrature methods based on the Cayley transform | 2002-02-07 | Paper |
| Integration methods based on canonical coordinates of the second kind | 2001-11-15 | Paper |
| Construction of Runge-Kutta methods of Crouch-Grossman type of high order | 2001-06-19 | Paper |
| Computations in a free Lie algebra | 2001-03-15 | Paper |
| The Newton iteration on Lie groups | 2000-11-22 | Paper |
| Pseudospectra of wave from relaxation operators | 2000-03-15 | Paper |
| Stiffness detection and estimation of dominant spectrum with explicit Runge-Kutta methods | 2000-01-03 | Paper |
| Runge-Kutta methods adapted to manifolds and based on rigid frames | 1999-08-23 | Paper |
| Runge-Kutta research in Trondheim | 1997-09-17 | Paper |
| Simulation of ordinary differential equations on manifolds: some numerical experiments and verifications | 1997-08-28 | Paper |
| Nonnormality effects in a discretised nonlinear reaction-convection-diffusion equation | 1996-07-02 | Paper |
| Stability of Runge-Kutta methods used in modular integration | 1996-06-02 | Paper |
| Alternative integration methods for problems in structural dynamics | 1996-05-22 | Paper |
| Order Barriers and Characterizations for Continuous Mono-Implicit Runge- Kutta Schemes | 1994-05-12 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4036824 | 1993-05-18 | Paper |
| Derivation of Efficient, Continuous, Explicit Runge–Kutta Methods | 1993-01-12 | Paper |
| A uniqueness result related to the stability of explicit Runge-Kutta methods | 1992-06-25 | Paper |
| Order Barriers for Continuous Explicit Runge-Kutta Methods | 1991-01-01 | Paper |
| Some stability results for explicit Runge-Kutta methods | 1990-01-01 | Paper |
