Results 61 to 70 of about 39,241 (326)
ON THE ARONSZAJN PROPERTY FOR AN INTEGRAL EQUATION WITH WEAKLY SINGULAR KERNEL
Demonstratio Mathematica, 2004 The author proves that, for Banach spaces \(E\), \(F\) and \(D=[0,d]\), under suitable conditions on \(p\in C(D,E)\), \(f:D\times E\rightarrow F\), \( K(t,s)=H(t,s)/(t-s)^{r}\) with \(H:\{(t,s):0\leq s\leq t\leq d\}\rightarrow \mathcal{L}(F,E)\) continuous and ...
openaire +2 more sources
Mathematics, 2022 The Energetic Boundary Element Method (BEM) is a recent discretization technique for the numerical solution of wave propagation problems, inside bounded domains or outside bounded obstacles.
Alessandra Aimi, Ariel Surya Boiardi
doaj +1 more source
Fast accurate approximation of convolutions with weakly singular kernel and its applications
CoRR, 2021 In this article, we present an $O(N \log N)$ rapidly convergent algorithm for the numerical approximation of the convolution integral with radially symmetric weakly singular kernels and compactly supported densities. To achieve the reduced computational complexity, we utilize the Fast Fourier Transform (FFT) on a uniform grid of size $N$ for ...
Awanish Kumar Tiwari +3 more
openaire +2 more sources
Spline collocation method for integro-differential equations with weakly singular kernels
, 2006 In the first part of this paper we study the regularity properties of solutions to initial or boundary-value problems of Fredholm integro-differential equations with weakly singular or other nonsmooth kernels. We then use these results in the analysis of
Pedas, Arvet, Tamme, Enn
core +1 more source
Advanced Optical Materials, EarlyView.A Bayesian optimization framework identifies the ideal composition for Lu2(MoO4)3:Yb–Er–Tm phosphors with minimal experimental trials. By leveraging the host's negative thermal expansion, the material achieves remarkable thermal quenching compensation.
Reiko Furukawa +7 more
wiley +1 more source
Cross Kingdom Metabolic Engineering Paradigm Elevating Sustainable Protein Production
Advanced Science, EarlyView.ABSTRACT Confronting the dual crisis of escalating global protein demand and unsustainable agriculture necessitates transformative solutions. Here, we pioneer evolutionary insights from maize nitrogen optimization via asparagine synthetase (ASNS) to rewire metabolism in Pichia pastoris.
Yuanyuan Du +4 more
wiley +1 more source
An Integrated NLP‐ML Framework for Property Prediction and Design of Steels
Advanced Science, EarlyView.This study presents a data‐driven framework that uses language‐processing techniques to interpret steel processing descriptions and machine‐learning models to predict mechanical properties. By organising complex process histories into meaningful groups and enabling rapid property forecasts, the work supports faster, more informed steel design through ...
Kiran Devraju +5 more
wiley +1 more source
Cubic spline approximation for weakly singular models
, 2013 In this paper we propose a numerical collocation method to approximate the solution of linear integral mixed Volterra- Fredholm equations of the second kind, with particular weakly singular kernels.
MARCHETTI, ELENA MARIA +3 more
core +1 more source
Advanced Science, EarlyView.This review comprehensively summarizes the atomic defects in TMDs for their applications in sustainable energy storage devices, along with the latest progress in ML methodologies for high‐throughput TEM data analysis, offering insights on how ML‐empowered microscopy facilitates bridging structure–property correlation and inspires knowledge for precise ...
Zheng Luo +6 more
wiley +1 more source
Kneser’s theorem for weak solutions of an integral equation with weakly singular kernel [PDF]
Publications de l'Institut Mathematique, 2005 We prove that the set of all weak solutions of the Volterra integral equation (1) is nonempty, compact and connected.
Dutkiewicz, Aldona, Szufla, Stanisław
openaire +2 more sources