Gentian Zavalani
Inhaltsverzeichnis
Kontakt
Scientific Assistant
NameHerr Gentian Zavalani M.Sc.
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Forschungsschwerpunkte
My research focuses on the development of high-order spectral methods for computing scalar and vector fields on smooth and embedded surfaces. I am particularly interested in accurate numerical integration techniques and fast algorithms for solving partial differential equations on complex and evolving domains.
Publikationen
- Fast high-order spectral solvers for PDEs on triangulated surfaces with applications to deforming surfaces. (Submitted)
- High-Order Integration on Regular Triangulated Manifolds Reaches Super-Algebraic Approximation Rates through Cubical Re-parameterizations . Joint with Oliver Sander and Michael Hecht. arXiv:2311.13909. To appear in SIAM Journal on Numerical Analysis
- Global Polynomial Level Sets for Numerical Differential Geometry of Smooth Closed Surfaces . Joint with Sachin K. Thekke Veettil, Uwe Hernandez Acosta, Ivo F. Sbalzarini, and Michael Hecht. SIAM Journal on Computing (SICOMP).
- A Note on the Rate of Convergence of Integration Schemes for Closed Surfaces. Joint with Elima Shehu and Michael Hecht. Computational and Applied Mathematics, Springer.
- High-Order Numerical Integration on Regular Embedded Surfaces . Joint with Michael Hecht. Numerical Mathematics and Advanced Applications ENUMATH 2023, Volume 2.