Martin Arnold

Numerical Analysis · 2000–2012

A researcher in the Science corpus: 8 papers; trusts 11 researchers and is trusted by 13 researchers here, as inferred from the citation graph.

Subfields

• Numerical Analysis — 10 citations into it; #648 of 3,586 by trust here, #739 by citations
• Control and Systems Engineering — 8 citations into it; #1,844 of 8,257 by trust here, #2,782 by citations
• Computational Mechanics — 7 citations into it; #3,863 of 10,001 by trust here, #5,813 by citations

Whom Martin Arnold trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Silvano Erlicher
2. Alberto Cardona
3. Bernd Simeon
4. Ernst Hairer
5. Andrew J. Hanson
6. Oliver Sander
7. Peter Betsch

Who trusts Martin Arnold overall

1. M. Busch
2. Qiang Tian
3. Hermann G. Matthies
4. K. Luo
5. Cheng Liu
6. O. Bruls
7. J. Steindorf
8. Michael Günther
9. Yunqing Zhang
10. Haiyan Hu

Papers from Martin Arnold's perspective

Ordered by how strongly the researchers Martin Arnold trusts endorse each paper. Same corpus, a different order for every researcher.

1. Visualizing quaternions (SIGGRAPH Courses)
2. The interpolation of rotations and its application to finite element models of geometrically exact rods
3. Animating rotation with quaternion curves
4. Geodesic finite elements for Cosserat rods
5. Frame‐indifferent beam finite elements based upon the geometrically exact beam theory
6. Discrete elastic rods (ACM Transactions on Graphics)
7. The Vectorial Parameterization of Rotation
8. The Functional Mockup Interface for Tool independent Exchange of Simulation Models
9. Solving Ordinary Differential Equations in R
10. Flexible Multibody Dynamics: A Finite Element Approach

Their papers

• Preconditioned Dynamic Iteration for Coupled Differential-Algebraic Systems (2001) — 139 citations
• Lie group generalized-α time integration of constrained flexible multibody systems (2012) — 197 citations
• Functional Mockup Interface 2.0: The Standard for Tool independent Exchange of Simulation Models (2012) — 586 citations
• The Functional Mockup Interface for Tool independent Exchange of Simulation Models (2011) — 664 citations
• Multi-body dynamics simulation of geometrically exact Cosserat rods (2011) — 238 citations
• Stability of Sequential Modular Time Integration Methods for Coupled Multibody System Models (2010) — 82 citations
• Convergence of the generalized-α scheme for constrained mechanical systems (2007) — 446 citations
• Pantograph and catenary dynamics: a benchmark problem and its numerical solution (2000) — 151 citations