Results 181 to 190 of about 201,103 (244)

Elementary recursive complexity results in real algebraic geometry (Women in Mathematics)

open access: yesElementary recursive complexity results in real algebraic geometry (Women in Mathematics)
I shall discuss two important results in real algebraic geometry - quantifier elimination, proving that the projection of a semi-algebraic set is semi-algebraic - Hilbert 17th problem, proving that a non negative polynomial is always a sum of squares of rational functions from the point of view of effectivity and complexity.
openaire  

Space‐Time Modeling and Numerical Simulations of Non‐Newtonian Fluids Using Internal Variables

open access: yesInternational Journal for Numerical Methods in Fluids, Volume 97, Issue 12, Page 1457-1481, December 2025.
Based on Hamilton's principle, the study focuses on a novel strategy for the modeling of non‐Newtonian fluids with the help of internal variables. Here, the viscosity evolves locally in space and time. Three configurations are numerically implemented, namely channel flow, a benchmark, and a lid‐driven cavity.
Philipp Junker, Thomas Wick
wiley   +1 more source

On the Behavior of Two C1 Finite Elements Versus Anisotropic Diffusion

open access: yesInternational Journal for Numerical Methods in Fluids, Volume 97, Issue 12, Page 1541-1557, December 2025.
Bi‐cubic Hemite‐Bézier and reduced cubic Hsieh‐Clough‐Tocher finite elements, of class C1, are compared for the solution of a highly anisotropic diffusion equation. They are tested numerically for various ratios of the diffusion coefficients on different meshes, even aligned with the anisotropy.
Blaise Faugeras   +3 more
wiley   +1 more source

Incremental Model Order Reduction of Smoothed‐Particle Hydrodynamic Simulations

open access: yesInternational Journal for Numerical Methods in Fluids, Volume 97, Issue 12, Page 1571-1594, December 2025.
The paper presents the development of an incremental singular value decomposition strategy for compressing time‐dependent particle simulation results, addressing gaps in the data matrices caused by temporally inactive particles. The approach reduces memory requirements by about 90%, increases the computational effort by about 10%, and preserves the ...
Eduardo Di Costanzo   +3 more
wiley   +1 more source

Metaplectic operators with quasi‐diagonal kernels

open access: yesMathematische Nachrichten, Volume 298, Issue 12, Page 3618-3638, December 2025.
Abstract Metaplectic operators form a relevant class of operators appearing in different applications, in this work we study their Schwartz kernels. Namely, diagonality of a kernel is defined by imposing rapid off‐diagonal decay conditions, and quasi‐diagonality by imposing the same conditions on the smoothing of the kernel through convolution with the
Gianluca Giacchi, Luigi Rodino
wiley   +1 more source

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