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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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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
Volume-preserving exponential integrators and their applications
2017
2017
A Geometric Approach for Solving Troesch’s Problem
In this paper, the Lie-group shooting method (LGSM) which is a numerical geometric integrator, is applied to the intrinsically… 
2015
2015
Geometric integration of nonlinear dynamical systems
In modern literature, the geometric integration means numerical integration of differential equations that provides an accurate… 
2014
2014
Kullback-Leibler life time testing
2014
2014
Geometric integration applied to moving mesh methods and degenerate Lagrangians
Moving mesh methods (also called r-adaptive methods) are space-adaptive strategies used for the numerical simulation of time… 
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… 
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… 
2006
2006
Special section: Numerical methods for structured systems
2001
2001
GEOMETRIC INTEGRATION OF ORDINARY DIFFERENTIAL EQUATIONS
This article illustrates how classical integration methods for differential equations on manifolds can be modified in order to… 
2001
2001
Geometric Integration on Manifold of Square Oblique Rotation Matrices
In recent years there has been a growing interest in the dynamics of matrix differential systems on a smooth manifold. Research… 
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