Results 51 to 60 of about 16,231 (283)
Collocation based approximations for a class of fractional boundary value problems
Mathematical Modelling and Analysis, 2023 A boundary value problem for fractional integro-differential equations with weakly singular kernels is considered. The problem is reformulated as an integral equation of the second kind with respect to, the Caputo fractional derivative of y of order α ...
Hanna Britt Soots +2 more
doaj +1 more source
RBFs for Integral Equations with a Weakly Singular Kernel [PDF]
American Journal of Applied Mathematics, 2015 In this paper a numerical method, based on collocation method and radial basis functions (RBF) is proposed for solving integral equations with a weakly singular kernel. Integrals appeared in the procedure of the solution are approximated by adaptive Lobatto quadrature rule.
openaire +1 more source
Multimodal Data‐Driven Microstructure Characterization
Advanced Engineering Materials, EarlyView.A self‐consistent autonomous workflow for EBSP‐based microstructure segmentation by integrating PCA, GMM clustering, and cNMF with information‐theoretic parameter selection, requiring no user input. An optimal ROI size related to characteristic grain size is identified.
Qi Zhang +4 more
wiley +1 more source
The Szegő kernel as a singular integral kernel on a family of weakly pseudoconvex domains [PDF]
Transactions of the American Mathematical Society, 1987 The Szegö kernels on the weakly pseudoconvex domains { Im z 2 > | z 1 | 2 k
openaire +2 more sources
Volume and surface integral equations for electromagnetic scattering by a dielectric body
, 2010 13 pagesInternational audienceWe derive and analyze two equivalent integral formulations for the time-harmonic electromagnetic scattering by a dielectric object. One is a volume integral equation (VIE) with a strongly singular kernel and the other one is
Costabel, Martin +2 more
core +4 more sources
Advanced Functional Materials, EarlyView.The study presents biodegradable and recyclable mixed‐matrix membranes (MMMs), hydrogels, and cryogels using luminescent nanoscale metal‐organic frameworks (nMOFs) and biopolymers. These bio‐nMOF‐MMMs combine europium‐based nMOFs as probes for the status of the materials with the biopolymers agar and gelatine and present alternatives to conventional ...
Moritz Maxeiner +4 more
wiley +1 more source
Journal of Function Spaces, 2017 We develop a generalized Jacobi-Galerkin method for second kind Volterra integral equations with weakly singular kernels. In this method, we first introduce some known singular nonpolynomial functions in the approximation space of the conventional Jacobi-
Haotao Cai
doaj +1 more source
Fractal and Fractional, 2021 In the present work, the numerical solution of fractional delay integro-differential equations (FDIDEs) with weakly singular kernels is addressed by designing a Vieta–Fibonacci collocation method.
Khadijeh Sadri +4 more
doaj +1 more source
Solving Partial Integro-Differential Equations with Weakly Singular Kernel
Journal of Southwest Jiaotong University, 2020 Equations with a combination of integrals and derivatives are known as integro-differential equations. They are a combination of science and engineering. Many models are implemented with the help of integro-differential equations. Various techniques are available to solve integro-differential equations.
openaire +2 more sources
Planewave density interpolation methods for 3D Helmholtz boundary integral equations
, 2019 This paper introduces planewave density interpolation methods for the regularization of weakly singular, strongly singular, hypersingular and nearly singular integral kernels present in 3D Helmholtz surface layer potentials and associated integral ...
Faria, Luiz +2 more
core +3 more sources