Results 121 to 130 of about 193,838 (164)
Simple closed curves, non‐kernel homology and Magnus embedding
Journal of Topology, Volume 18, Issue 2, June 2025.Abstract We consider the subspace of the homology of a covering space spanned by lifts of simple closed curves. Our main result is the existence of unbranched covers of surfaces where this is a proper subspace. More generally, for a fixed finite solvable quotient of the fundamental group we exhibit a cover whose homology is not generated by the lifts ...
Adam Klukowski
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Homological Lie brackets on moduli spaces and pushforward operations in twisted K‐theory
Journal of Topology, Volume 18, Issue 2, June 2025.Abstract We develop a general theory of pushforward operations for principal G$G$‐bundles equipped with a certain type of orientation. In the case G=BU(1)$G={B\mathrm{U}(1)}$ and orientations in twisted K‐theory, we construct two pushforward operations, the projective Euler operation, whose existence was conjectured by Joyce, and the projective rank ...
Markus Upmeier
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 8, Page 9088-9097, 30 May 2025.ABSTRACT We suggest a modified version of the nonnegative matrix factorization problem, adding penalty terms to the model with the aim of taking control of the condition number of the decomposition elements. This measure is taken to reinforce computational stability in the solution path of the relevant optimization model.
Fatemeh Dargahi +3 more
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International Journal for Numerical Methods in Engineering, Volume 126, Issue 10, 30 May 2025.ABSTRACT This work presents a hybrid pressure face‐centred finite volume (FCFV) solver to simulate steady‐state incompressible Navier‐Stokes flows. The method leverages the robustness, in the incompressible limit, of the hybridisable discontinuous Galerkin paradigm for compressible and weakly compressible flows to derive the formulation of a novel, low‐
Matteo Giacomini +4 more
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Evaluating the Functional Importance of Conformer‐Dependent Atomic Partial Charge Assignment
Journal of Computational Chemistry, Volume 46, Issue 13, May 15, 2025.ABSTRACT Physics‐based methods such as protein‐ligand binding free energy calculations have been increasingly adopted in early‐stage drug discovery to prioritize promising compounds for synthesis. However, the accuracy of these methods is highly dependent on the details of the calculation and choices made while preparing the ligands and protein ahead ...
Meghan Osato +4 more
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 7, Page 7706-7726, 15 May 2025.The simulation of seismic wave propagation generally requires dealing with complex tridimensional geometries that are irregular in shape and have non‐uniform properties, features that make the application of the generalized finite difference method in this field interesting. This work continues the extensive developments by the research team focused on
Jesús Flores +4 more
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A bounded dynamical network of curves and the stability of its steady states
Mathematical Methods in the Applied Sciences, Volume 48, Issue 7, Page 7906-7917, 15 May 2025.In this article, we study the dynamic behavior of a network that consists of curves that are in motion and bounded. We first focus on the construction of the model which is a system of nonlinear partial differential equations (PDEs). This system is subject to four conditions: angle and intersection conditions between the curves at the point that they ...
Ioannis Dassios +2 more
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Cell Agglomeration Strategy for Cut Cells in eXtended Discontinuous Galerkin Methods
International Journal for Numerical Methods in Engineering, Volume 126, Issue 9, 15 May 2025.ABSTRACT In this work, a cell agglomeration strategy for the cut cells arising in the eXtended discontinuous Galerkin (XDG) method is presented. Cut cells are a fundamental aspect of unfitted mesh approaches, where complex geometries or interfaces separating subdomains are embedded into structured background grids to facilitate the mesh generation ...
Teoman Toprak +2 more
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International Journal of Robust and Nonlinear Control, Volume 35, Issue 7, Page 2835-2859, 10 May 2025.Abstract Model‐based optimization approaches for monitoring and control, such as model predictive control and optimal state and parameter estimation, have been used successfully for decades in many engineering applications. Models describing the dynamics, constraints, and desired performance criteria are fundamental to model‐based approaches. Thanks to
Johannes Pohlodek +4 more
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Metaphors in Mathematics: Introduction and the Case of Algebraic Geometry [PDF]
SSRN Electronic Journal, 2009 Analogies play an essential role in Mathematics. George Lakoff and Rafael E. Nunez have shown in 'Where Mathematics Comes From' that our understanding of basic mathematics is deeply linked to our experience of the world. They claim that we understand mathematics throught Conceptual Metaphors between source domains (for example spatial relationships ...
openaire +1 more source