Results 51 to 60 of about 58,365 (183)
Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs
Communications on Pure and Applied Mathematics, EarlyView.Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
wiley +1 more source
International Journal for Numerical Methods in Fluids, EarlyView.This paper presents a finite element method for simulating highly viscoelastic flows of pure polymer melts using the Elastic Viscous Stress Splitting formulation. The method avoids higher‐order derivatives in the weak formulation by reformulating the convective term in the constitutive equation.
R. Ahmad, P. Zajac, S. Turek
wiley +1 more source
Machine Learning for Predictive Modeling in Nanomedicine‐Based Cancer Drug Delivery
Med Research, EarlyView.The integration of AI/ML into nanomedicine offers a transformative approach to therapeutic design and optimization. Unlike conventional empirical methods, AI/ML models (such as classification, regression, and neural networks) enable the analysis of complex clinical and formulation datasets to predict optimal nanoparticle characteristics and therapeutic
Rohan Chand Sahu +3 more
wiley +1 more source
Quadratic Gauss sums on matrices
Linear Algebra and its Applications, 2004 Let \(F = F_{ p^\alpha }\) be a finite field of order \(p^\alpha\) for some prime \(p\). The author defines a Gauss sum on matrices \(A \in M_n(F)\) as follows: \[ G_s(A) := \sum_{ X \in M_n(F) } \exp \left( {{ 2 \pi i } \over { p }} \, \text{tr}_F \left( \text{tr} \left( A X^s \right) \right) \right) , \] where \(\text{ tr}_F\) denotes the trace map ...
openaire +2 more sources
Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
wiley +1 more source
Quadratic Gauss Sums over Finite Commutative Rings
Journal of Number Theory, 2002 Let \(R\) be finite commutative ring of odd characteristic. Let \(\lambda\) be an additive complex linear character of \(R\) and let \(G(\lambda)=\sum_{r\;\text{ in} R} \lambda(r^2)\) be the quadratic Gauss sum. The author gives an explicit determination of \(G(\lambda)\) by a series of reductions. Since \(G\) is multiplicative when \(R\) is written as
openaire +1 more source
Explicit formulas for Hecke Gauss sums in quadratic number fields
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 2010 Let \(K=\mathbb{Q}(\sqrt{D})\), \(G(\omega)=\sum\limits_{\mu\bmod a}e^{2\pi i\,\text{Tr}(\mu^{2}\omega/\sqrt{D})}\). The following result is obtained: Let \(\omega\) be a nonzero element of \(K\), and let \(M\) be the smallest positive rational integer such that \(M\omega\) is integral. Then \[ G(\omega)/\sqrt{\mathbb{N}(a\;\gcd(2,a))}=\frac{1}{\sqrt{u}
Boylan, Hatice, Skoruppa, Nils-Peter
openaire +3 more sources
Propellants, Explosives, Pyrotechnics, EarlyView.A low‐speed impact (around one meter per second) of a metallic tip on an explosive confined by a thin plate is simulated. The heat due to friction between the tip and the plate and the one due to the deformation of the plate are not transfered to the ignited zone.
Lucas Bonneau, Didier Picart
wiley +1 more source
Dihedral Gauss hypergeometric functions
, 2011 Gauss hypergeometric functions with a dihedral monodromy group can be expressed as elementary functions, since their hypergeometric equations can be transformed to Fuchsian equations with cyclic monodromy groups by a quadratic change of the argument ...
Vidunas, Raimundas
core +1 more source
A pilot variational coupled reanalysis based on the CESAM climate model
Quarterly Journal of the Royal Meteorological Society, EarlyView.Variational data assimilation of in‐situ and satellite ocean data and reanalysis atmospheric data into an intermediate complexity Earth system model is possible by adjusting the surface fluxes and internal model parameters. This pilot application requires nearly complete information on the atmospheric state for synchronization.
Armin Köhl +6 more
wiley +1 more source