Ergys Çokaj

Ergys Çokaj
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Ergys verified their affiliation via an institutional email.
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Ergys verified their affiliation via an institutional email.
  • PhD
  • Lecturer at Western Balkans University

University Lecturer at the Western Balkan University.

About

10
Publications
1,043
Reads
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23
Citations
Current institution
Western Balkans University
Current position
  • Lecturer
Additional affiliations
October 2024 - present
Western Balkans University
Position
  • University Lecturer

Publications

Publications (10)
Article
Full-text available
We propose a generalization of nonlinear stability of numerical one-step integrators to Riemannian manifolds in the spirit of Butcher's notion of B-stability. Taking inspiration from Simpson-Porco and Bullo, we introduce non-expansive systems on such manifolds and define B-stability of integrators. In this first exposition, we provide concrete resu...
Preprint
Full-text available
Euler's elastica is a classical model of flexible slender structures, relevant in many industrial applications. Static equilibrium equations can be derived via a variational principle. The accurate approximation of solutions of this problem can be challenging due to nonlinearity and constraints. We here present two neural network based approaches f...
Preprint
Full-text available
We propose a generalization of nonlinear stability of numerical one-step integrators to Riemannian manifolds in the spirit of Butcher's notion of B-stability. Taking inspiration from Simpson-Porco and Bullo, we introduce non-expansive systems on such manifolds and define B-stability of integrators. In this first exposition, we provide concrete resu...
Chapter
Full-text available
Since their introduction, Lie group integrators have become a method of choice in many application areas. Various formulations of these integrators exist, and in this work we focus on Runge-Kutta-Munthe-Kaas methods. First, we briefly introduce this class of integrators, considering some of the practical aspects of their implementation, such as ada...
Preprint
Full-text available
Since their introduction, Lie group integrators have become a method of choice in many application areas. Various formulations of these integrators exist, and in this work we focus on Runge--Kutta--Munthe--Kaas methods. First, we briefly introduce this class of integrators, considering some of the practical aspects of their implementation, such as...
Article
Full-text available
Since they were introduced in the 1990s, Lie group integrators have become a method of choice in many application areas. These include multibody dynamics, shape analysis, data science, image registration and biophysical simulations. Two important classes of intrinsic Lie group integrators are the Runge–Kutta–Munthe–Kaas methods and the commutator f...
Preprint
Full-text available
Since they were introduced in the 1990s, Lie group integrators have become a method of choice in many application areas. These include multibody dynamics, shape analysis, data science, image registration and biophysical simulations. Two important classes of intrinsic Lie group integrators are the Runge--Kutta--Munthe--Kaas methods and the commutato...

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