| Publication | Date of Publication | Type |
|---|
| From Runge–Kutta Methods to Hopf Algebras of Rooted Trees | 2022-05-27 | Paper |
| An implicit symplectic solver for high-precision long term integrations of the Solar System | 2022-03-31 | Paper |
| Majorant series for theN-body problem | 2022-02-22 | Paper |
| Global Time-Renormalization of the Gravitational $N$-body Problem | 2021-04-20 | Paper |
| New high order symplectic integrators via generating functions with its application in many-body problem | 2020-06-05 | Paper |
| The Lie algebra of classical mechanics | 2020-02-20 | Paper |
| An algorithm based on continuation techniques for minimization problems with highly non-linear equality constraints | 2019-09-16 | Paper |
| Continuous changes of variables and the Magnus expansion | 2019-07-11 | Paper |
| Hopf algebra techniques to handle dynamical systems and numerical integrators | 2019-03-22 | Paper |
| New integration methods for perturbed ODEs based on symplectic implicit Runge-Kutta schemes with application to solar system simulations | 2018-08-29 | Paper |
| Efficient implementation of symplectic implicit Runge-Kutta schemes with simplified Newton iterations | 2018-05-23 | Paper |
| Reducing and monitoring round-off error propagation for symplectic implicit Runge-Kutta schemes | 2018-01-12 | Paper |
| Vibrational resonance: a study with high-order word-series averaging | 2017-12-14 | Paper |
| Word series for dynamical systems and their numerical integrators | 2017-07-07 | Paper |
| Erratum to: ``Higher-order averaging, formal series and numerical integration. II: The quasi-periodic case | 2017-05-23 | Paper |
| An efficient algorithm based on splitting for the time integration of the Schrödinger equation | 2016-12-05 | Paper |
| Computing normal forms and formal invariants of dynamical systems by means of word series | 2016-04-20 | Paper |
| Averaging and computing normal forms with word series algorithms | 2015-12-11 | Paper |
| Stroboscopic averaging for the nonlinear Schrödinger equation | 2015-06-26 | Paper |
| Higher-order averaging, formal series and numerical integration. III: Error bounds | 2015-06-26 | Paper |
| Formal series and numerical integrators: some history and some new techniques | 2015-03-24 | Paper |
| Efficient computation of the Zassenhaus formula | 2014-12-17 | Paper |
| Multi-revolution composition methods for highly oscillatory differential equations | 2014-09-09 | Paper |
| Optimized high-order splitting methods for some classes of parabolic equations | 2013-07-23 | Paper |
| Splitting methods in the numerical integration of non-autonomous dynamical systems | 2013-01-30 | Paper |
| Higher-order averaging, formal series and numerical integration. II: The quasi-periodic case | 2012-12-21 | Paper |
| Splitting and composition methods in the numerical integration of differential equations | 2012-07-16 | Paper |
| Splitting methods with complex coefficients | 2012-07-16 | Paper |
| A Stroboscopic Numerical Method for Highly Oscillatory Problems | 2012-07-10 | Paper |
| A formal series approach to averaging: exponentially small error estimates | 2012-07-04 | Paper |
| Error Analysis of Splitting Methods for the Time Dependent Schrödinger Equation | 2011-12-07 | Paper |
| Numerical stroboscopic averaging for ODEs and DAEs | 2011-10-10 | Paper |
| Higher-order averaging, formal series and numerical integration. I: B-series | 2010-11-12 | Paper |
| An efficient algorithm for computing the Baker–Campbell–Hausdorff series and some of its applications | 2009-12-14 | Paper |
| A new class of symplectic integration schemes based on generating functions | 2009-11-06 | Paper |
| An algebraic theory of order | 2009-08-06 | Paper |
| On the linear stability of splitting methods | 2008-09-02 | Paper |
| Splitting methods for non-autonomous linear systems | 2007-08-10 | Paper |
| Preserving first integrals and volume forms of additively split systems | 2007-05-14 | Paper |
| The Hopf algebra of rooted trees, free Lie algebras, and Lie series | 2007-03-09 | Paper |
| An algebraic approach to invariant preserving integators: the case of quadratic and Hamiltonian invariants | 2006-08-11 | Paper |
| Composition Methods for Differential Equations with Processing | 2006-05-30 | Paper |
| On the Numerical Integration of Ordinary Differential Equations by Processed Methods | 2005-03-01 | Paper |
| Reversible methods of Runge-Kutta type for index-2 DAEs | 2004-12-13 | Paper |
| New Runge-Kutta based schemes for ODEs with cheap global error estimation. | 2004-06-11 | Paper |
| Post-projected Runge-Kutta methods for index-2 differential-algebraic equations | 2002-08-22 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2708036 | 2001-04-17 | Paper |
| Extrapolation of symplectic methods for Hamiltonian problems | 2000-12-06 | Paper |
| Order conditions for numerical integrators obtained by composing simpler integrators | 2000-10-10 | Paper |
| Formal series and numerical integrators. II: Application to index-\(2\) differential-algebraic systems | 2000-07-24 | Paper |
| Formal series and numerical integrators. I: Systems of ODEs and symplectic integrators | 2000-01-11 | Paper |
| Runge-Kutta-Nyström methods for general second order ODEs with application to multi-body systems | 1999-11-02 | Paper |
| Non-stiff integrators for differential-algebraic systems of index 2 | 1999-03-22 | Paper |
| On Order Conditions for Partitioned Symplectic Methods | 1998-02-10 | Paper |
| Partitioned half-explicit Runge-Kutta methods for differential-algebraic system of index 2 | 1998-01-13 | Paper |
| The non-existence of symplectic multi-derivative Runge-Kutta methods | 1995-07-19 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4313501 | 1995-02-28 | Paper |
