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Geometric integrator
In the mathematical field of numerical ordinary differential equations, a geometric integrator is a numerical method that preserves geometric…
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9 relations
Energy drift
Euler method
Jesús María Sanz-Serna
List of numerical analysis topics
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Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
2019
2019
Finite Time Stable Attitude and Angular Velocity Bias Estimation for Rigid Bodies With Unknown Dynamics
A. Sanyal
,
Rakesh R. Warier
,
R. Hamrah
European Control Conference
2019
Corpus ID: 201065470
This paper presents a nonlinear finite-time stable attitude estimation scheme for a rigid body with unknown dynamics. Attitude is…
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2014
2014
Geometric numerical integrators based on the Magnus expansion in bifurcation problems for non-linear elastic solids
Anna Castellano
,
Pilade Foti
,
A. Fraddosio
,
S. Marzano
,
M. Piccioni
Frattura ed Integrità Strutturale
2014
Corpus ID: 14032071
We illustrate a procedure based on the Magnus expansion for studying mechanical problems which lead to non-autonomous systems of…
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2012
2012
Spatial coupling of multibody system with viscous flow dynamics in partitioned algorithms
Dubravko Matijašević
,
Z. Terze
2012
Corpus ID: 14960389
Mathematical model and numerical procedure of multibody system in fluid flow is used in weakly coupled approach to simulate…
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2012
2012
The rigid body dynamics: classical and algebro-geometric integration
B. Gajić
2012
Corpus ID: 118573769
The basic notion for a motion of a heavy rigid body fixed at a point in three-dimensional space as well as its higher-dimensional…
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2006
2006
Geometric Numerical Integration of Differential Equations Geometric integration
2006
Corpus ID: 18741148
What is geometric integration? ‘Geometric integration’ is the term used to describe numerical methods for computing the solution…
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2005
2005
Exterior algebra , ODEs and geometric integration
2005
Corpus ID: 18365275
References [1] A. Adrover, S. Cerbelli & M. Giona. Exterior algebra-based algorithms to estimate Liapunov spectra and stretching…
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2001
2001
GEOMETRIC INTEGRATION OF ORDINARY DIFFERENTIAL EQUATIONS
O. Manifolds
,
E. Hairer
2001
Corpus ID: 124355794
This article illustrates how classical integration methods for differential equations on manifolds can be modified in order to…
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2001
2001
A Brief Introduction to Lie-group Methods 1.1 Example 1: an Orthogonal Ow Consider the Matrix-valued Diierential System
A. Iserles
2001
Corpus ID: 15863233
1 Why Lie groups? As mathematicians, we are excited by the profundity and sthetic majesty of mathematical concepts. Yet, as…
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1998
1998
University of Cambridge Lie Groups and the Computation of Invariants
A. Iserles
1998
Corpus ID: 15752904
1998
1998
Effective solutions of Clebsch and C. Neumann systems
A. Zhivkov
,
O. Christov
1998
Corpus ID: 73520137
We solve in Riemann theta functions the classical Clebsch system and its particular case the C Neumann system Going from a new…
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