Results 31 to 40 of about 559 (266)

AN APPROXIMATE METHODS FOR SOLVING POLYSINGULAR INTEGRAL EQUATIONS IN DEGENERATE CASES

Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020
Background. This work is devoted to the study of sets of functions in which the condition of unique solvability of degenerate polysingular integral equations is satisfied, and to the construction of approximate methods for solving polysingular integral
I. V. Boykov, N. Yu. Kudryashova, A. A. Shaldaeva   +2 more
doaj   +1 more source

Critical Poles and Third-Order Nonlinear Differential Equations

Mathematics
The paper deals with the results of a study of a third-order nonlinear differential equation with moving singular points and critical poles. So far, this type of equation cannot be solved in quadratures.
Victor Orlov
doaj   +1 more source

Quadrature-based features for kernel approximation

CoRR, 2018
We consider the problem of improving kernel approximation via randomized feature maps. These maps arise as Monte Carlo approximation to integral representations of kernel functions and scale up kernel methods for larger datasets. Based on an efficient numerical integration technique, we propose a unifying approach that reinterprets the previous random ...
Marina Munkhoeva, Yermek Kapushev, Evgeny Burnaev, Ivan V. Oseledets   +3 more
openaire   +3 more sources

A Survey of Interlayer Interaction Models for Graphene and Other 2D Materials

Advanced Materials Interfaces, EarlyView.
Van der Waals interactions arising from electronic polarization at atomically close interfaces generate corrugated interlayer energy landscapes that govern normal and tangential tractions. This review presents an overview of quantum, atomistic, analytical, and continuum modeling approaches, highlighting their roles across length scales in capturing ...
Gourav Yadav, Shakti S. Gupta, Roger A. Sauer   +2 more
wiley   +1 more source

A Compact Incubation Platform for Long‐Term Cultivation of Biological Samples for Nitrogen‐Vacancy Center Widefield Microscopy

Advanced Materials Technologies, EarlyView.
A compact incubation platform enables long‐term cultivation of biological samples directly on diamond quantum sensors for NV widefield magnetometry. The 3D‐printed biocompatible chamber provides a temperature controlled, CO2${\rm CO}_2$ and humidity rich environment while accommodating total internal reflection excitation geometry.
Andre Pointner, Daniela Thalheim, Sarah Belasi, Lukas Heinen, Lucas R. Carnell, Christina Janko, Rainer Tietze, Christoph Alexiou, Regine Schneider‐Stock, Roland Nagy   +9 more
wiley   +1 more source

Gaussian Quadratures vs. Monte Carlo Experiments for Systematic Sensitivity Analysis of Computable General Equilibrium Model Results [PDF]

, 2017
Citation: Villoria, N. B., & Preckel, P. V. (2017). Gaussian Quadratures vs. Monte Carlo Experiments for Systematic Sensitivity Analysis of Computable General Equilibrium Model Results. Economics Bulletin, 37(1), 480-+.
Villoria, Nelson B., Preckel, Paul V.
core  

High order corrected trapezoidal rules for a class of singular integrals

, 2023
We present a family of high order trapezoidal rule-based quadratures for a class of singular integrals, where the integrand has a point singularity.
Olof Runborg, Tsai, Richard,, Federico Izzo, Tsai, Richard, Runborg, Olof,, Runborg, Olof, Izzo, Federico,, Izzo, Federico, Richard Tsai   +8 more
core   +1 more source

Hermite–Padé approximation and simultaneous quadrature formulas

Journal of Approximation Theory, 2004
We study Hermite–Padé approximation of the so-called Nikishin systems of functions. In particular, the set of multi-indices for which normality is known to take place is considerably enlarged as well as the sequences of multi-indices for which convergence of the corresponding simultaneous rational approximants takes place.
Ulises Fidalgo Prieto, Jesús Illán, Guillermo López Lagomasino   +2 more
openaire   +3 more sources

Direct Measurement of the Singlet Lifetime and Photoexcitation Behavior of the Boron Vacancy Center in Hexagonal Boron Nitride

Advanced Optical Materials, EarlyView.
Negatively charged boron vacancy defects in hexagonal boron nitride promise near‐surface quantum sensing, but their internal spin transition rates are only partly understood. This work directly measures the defect's singlet‐state lifetime, 15(3) ns, using a nanosecond rise‐time dual‐pulse photoluminescence‐recovery method, and shows that high laser ...
Richard A. Escalante, Andrew J. Beling, Daniel G. Ang, Niko R. Reed, Justin J. Welter, John W. Blanchard, Cecilia Campos, Edwin Coronel, Klaus Krambrock, Alexandre S. Leal, Paras N. Prasad, Ronald L. Walsworth   +11 more
wiley   +1 more source

Approximation of integral operators by Green quadrature and nested cross approximation [PDF]

Numerische Mathematik, 2015
We present a fast algorithm that constructs a data-sparse approximation of matrices arising in the context of integral equation methods for elliptic partial differential equations. The new algorithm uses Green's representation formula in combination with quadrature to obtain a first approximation of the kernel function and then applies nested cross ...
Steffen Börm, Sven Christophersen
openaire   +2 more sources