Results 51 to 60 of about 58,161 (160)

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

Reinforcement Learning for Jump‐Diffusions, With Financial Applications

Mathematical Finance, EarlyView.
ABSTRACT We study continuous‐time reinforcement learning (RL) for stochastic control in which system dynamics are governed by jump‐diffusion processes. We formulate an entropy‐regularized exploratory control problem with stochastic policies to capture the exploration–exploitation balance essential for RL.
Xuefeng Gao, Lingfei Li, Xun Yu Zhou
wiley   +1 more source

Topology Optimization in Civil Engineering − On the Consideration of Concrete Failure Characteristic and Self‐Weight

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT The mechanical efficiency of civil engineering structures is a key factor in the sustainable transformation of the building sector. This study presents topology optimization in civil engineering design. The static load profile of civil engineering structures is typically dominated by their self‐weight, which introduces, as a special ...
Daniela Masarczyk, Minh Tuan Tran, Detlef Kuhl   +2 more
wiley   +1 more source

Convergence rate for a Gauss collocation method applied to unconstrained optimal control

, 2015
A local convergence rate is established for an orthogonal collocation method based on Gauss quadrature applied to an unconstrained optimal control problem.
Hager, William W., Hou, Hongyan, Rao, Anil V.   +2 more
core   +1 more source

On the structure of quadratic Gauss sums in the Talbot effect [PDF]

Journal of the Optical Society of America A, 2017
We report on the detailed derivation of the Gauss sums leading to the weighting phase factors in the fractional Talbot effect. In contrast to previous approaches, the derivation is directly based on the two coprime integers p and q that define the fractional Talbot effect so that, using standard techniques from the number theory, the computation is ...
openaire   +2 more sources

Numerical Model Reduction of Multi‐Scale Electrochemical Ion Transport

International Journal for Numerical Methods in Engineering, Volume 127, Issue 7, 15 April 2026.
ABSTRACT In this paper, we develop a Numerical Model Reduction (NMR) framework for multi‐scale modeling of electro‐chemically coupled ion transport. Upon introducing the governing equations and employing Variationally Consistent Homogenization, a two‐scale model, consisting of a macro‐scale and a sub‐scale part, is obtained.
Vinh Tu, Fredrik Larsson, Kenneth Runesson, Ralf Jänicke   +3 more
wiley   +1 more source

Quadratic Reciprocity and the Sign of the Gauss Sum via the Finite Weil Representation [PDF]

International Mathematics Research Notices, 2010
We give new proofs of two basic results in number theory: The law of quadratic reciprocity and the sign of the Gauss sum. We show that these results are encoded in the relation between the discrete Fourier transform and the action of the Weyl element in the Weil representation modulo p,q and pq.
Gurevich, Shamgar, Hadani, Ronny, Howe, Roger   +2 more
openaire   +2 more sources

Inverse Design for Robust Inference in Integrated Computational Spectrometry

Nanophotonics, Volume 15, Issue 7, 13 April 2026.
This work demonstrates that integrated computational spectrometers can be inverse‐designed to substantially improve noise tolerance without relying on training data or specific inference algorithms, offering an alternative to conventional end‐to‐end co‐design strategies.
Wenchao Ma, Raphaël Pestourie, Zin Lin, Steven G. Johnson   +3 more
wiley   +1 more source

Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs

Communications on Pure and Applied Mathematics, Volume 79, Issue 4, Page 1012-1072, April 2026.
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

EVSS‐Based Simulation Techniques for the Viscoelastic Fluids With Pure Polymer Melts Using Three‐Field Approach

International Journal for Numerical Methods in Fluids, Volume 98, Issue 4, Page 492-509, April 2026.
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