Martin Arnold

Martin Luther University Halle-Wittenberg — Germany

Mathematics · Physical Sciences

28h-index3.3kcitations152works1.02yr avg
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Research Topics

Numerical methods for differential equations(67), Dynamics and Control of Mechanical Systems(59), Modeling and Simulation Systems(32), Real-time simulation and control systems(21), Hydraulic and Pneumatic Systems(16)

Publications152 total

<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si6.svg" display="inline" id="d1e622"> <mml:mi>σ</mml:mi> </mml:math> -modified Lie group generalized- <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si385.svg" display="inline" id="d1e627"> <mml:mi>α</mml:mi> </mml:math> methods for constrained multibody systems
Mechanism and Machine Theory·2025· 1 citedOpen Access
Preface for the special issue on numerical modelling of highly flexible structures
Multibody System Dynamics·2025Open Access
σ-modified Lie Group Generalized-α Methods for Constrained Multibody Systems
SSRN Electronic Journal·2025Open Access
sigma-modified Lie group generalized-alpha methods for constrained multibody systems
Open MIND·2025Open Access
Free Rocking of a Rigid Block on a Flexible Structure with Non-Smooth Contact Dynamics
Applied Sciences·2024· 3 citedOpen Access
Local coordinates on Lie groups for half-explicit time integration of Cosserat-rod models with constraints
Multibody System Dynamics·2024· 1 citedOpen Access
Modeling and Simulation of Inelastic Effects in Composite Cables
arXiv (Cornell University)·2024Open Access
Evaluation and implementation of Lie group integration methods for rigid multibody systems
Multibody System Dynamics·2024· 5 citedOpen Access
Modelling the inelastic constitutive behaviour of multi-layer spiral strands. Comparison of hysteresis operator approach to multi-scale model
arXiv (Cornell University)·2024Open Access
Local Coordinates on Lie Groups for Half-Explicit Time Integration of Cosserat Rod Models with Constraints
Research Square (Research Square)·2024Open Access
B-stability of numerical integrators on Riemannian manifolds
Journal of Computational Dynamics·2024· 1 citedOpen Access
The barycentric rational numerical differentiation formulas for stiff ODEs and DAEs
Numerical Algorithms·2023· 2 cited
B-stability of numerical integrators on Riemannian manifolds
arXiv (Cornell University)·2023Open Access
Data based constitutive modelling of rate independent inelastic effects in composite cables using Preisach hysteresis operators
Multibody System Dynamics·2023· 9 citedOpen Access
Evaluation and Implementation of Lie Group Integration Methods for Rigid Multibody Systems
Research Square (Research Square)·2023· 1 citedOpen Access
Numerical solution of differential and differential-algebraic equations. Selected papers from NUMDIFF-16
Journal of Computational and Applied Mathematics·2023
Modeling and Simulation of Inelastic Effects in Composite Cables
Mathematics in industry·2022Open Access
Modular time integration of coupled problems in system dynamics
Mathematics in industry·2022· 2 cited
A Lie group variational integration approach to the full discretization of a constrained geometrically exact Cosserat beam model
Multibody System Dynamics·2021· 22 citedOpen Access
First Steps in Data Based Constitutive Modelling of Inelastic Effects in Composite Cables Using Preisach Hysteresis Operators
2021· 1 cited
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Frequent Co-authors

Olivier Brüls(5), Christoph Clauß(4), Alberto Cardona(4), Bernhard Burgermeister(4), Tom Schierz(4), Bernd Simeon(3), M. Schlegel(3), Oswald Knoth(3), Ralf Wolke(3), Markus A. Köbis(3), Holger Lang(2), Claus Führer(2), Gerhard Hippmann(2), Werner Schiehlen(2), Alexander Eichberger(2), Olivier Bru ̈ls(2), R. Weiner(2), K. Strehmel(2), Stefan Hante(2), H. Netter(2)