Skip to search formSkip to main contentSkip to account menu

Geometric integrator

In the mathematical field of numerical ordinary differential equations, a geometric integrator is a numerical method that preserves geometric… 
Wikipedia (opens in a new tab)

Related topics

Related topics

9 relations
Energy driftEuler methodJesús María Sanz-SernaList of numerical analysis topics

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2019
2019
Contact variational integrators
We present geometric numerical integrators for contact flows that stem from a discretization of Herglotz’ variational principle… 
2018
2018
Simple bespoke preservation of two conservation laws
Conservation laws are among the most fundamental geometric properties of a partial differential equation (PDE), but few known… 
2015
2015
Geometric integration of nonlinear dynamical systems
In modern literature, the geometric integration means numerical integration of differential equations that provides an accurate… 
Highly Cited
2015
Highly Cited
2015
Fast nonlinear model predictive control for multicopter attitude tracking on SO(3)
Exploiting the highly dynamic flight envelope of a multirotor Micro Aerial Vehicle (MAV) is a particularly challenging task that… 
2013
2013
Combination of 3D unsplit forward and backward volume-of-fluid transport and coupling to the level set method
Highly Cited
2012
Highly Cited
2012
Geometric Integration of Quaternions
This paper employs a geometric integration algorithm to propagate the quaternion kinematics in order to preserve the unit norm… 
2007
2007
Computational Electromagnetism with Variational Integrators and Discrete Differential Forms
In this paper, we introduce a general family of variational, multisymplectic numerical methods for solving Maxwell’s equations… 
2007
2007
B-SERIES METHODS CANNOT BE VOLUME-PRESERVING
Volume preservation is one of the qualitative characteristics common to many dynamical systems. However, it has been proved by… 
Review
2006
Review
2006
Numerical methods for Hamiltonian PDEs
The paper provides an introduction and survey of conservative discretization methods for Hamiltonian partial differential… 
2006
2006
Semantically Correct 2.5D GIS Data - the Integration of a DTM and Topographic Vector Data
This paper presents an approach for a semantically correct integration of a 2.5D digital terrain model (DTM) and a 2D topographic… 
By clicking accept or continuing to use the site, you agree to the terms outlined in our Privacy Policy (opens in a new tab), Terms of Service (opens in a new tab), and Dataset License (opens in a new tab)