Results 61 to 70 of about 1,486,932 (305)
Advanced Functional Materials, EarlyView.We use scanning nitrogen vacancy magnetometry to directly image the weak in‐plane magnetic moments in mixed phase BiFeO3 at the nanoscale and quantify the local magnetic moments to be 18.8±2.0 μB/nm2 in the rhombohedral‐like phase and 1.5±0.6 μB/nm2 in the well‐known non‐magnetic tetragonal‐like phase.
Lei Wang +14 more
wiley +1 more source
Ain Shams Engineering Journal, 2018 In this article, we introduce a novel numerical scheme, the iterative reproducing kernel method (IRKM), for providing numerical approximate solutions of a certain class of time-fractional boundary value problem within favorable aspects of the reproducing
Mohammed Al-Smadi
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Reproducing kernel Hilbert space method for solving fractal fractional differential equations
Results in Physics, 2022 Based on reproducing kernel theory, an analytical approach is considered to construct numerical solutions for some basic fractional ordinary differential equations (FODEs, for short) under fractal fractional derivative with the exponential decay kernel ...
Nourhane Attia +4 more
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On functional reproducing kernels
Open Mathematics, 2023 Abstract We show that even if a Hilbert space does not admit a reproducing kernel, there could still be a kernel function that realizes the Riesz representation map. Constructions in spaces that are the Fourier transform of weighted
openaire +3 more sources
Asymptotically compatible reproducing kernel collocation and meshfree integration for nonlocal diffusion [PDF]
SIAM Journal on Numerical Analysis, 2019 Reproducing kernel (RK) approximations are meshfree methods that construct shape functions from sets of scattered data. We present an asymptotically compatible (AC) RK collocation method for nonlocal diffusion models with Dirichlet boundary condition ...
Y. Leng +3 more
semanticscholar +1 more source
Blood Biomarkers and Surface‐Enhanced Raman Spectroscopy for Gout: A Comprehensive Review
Advanced Functional Materials, EarlyView.Schematic illustrating gout disease progression from asymptomatic hyperuricemia to chronic tophaceous disease, highlighting the limitations of conventional imaging and biochemical diagnostics and the potential of engineered SERS platforms for ultrasensitive blood‐based detection of urate‐related biomarkers across disease stages, with the color gradient
Isuri Perera +6 more
wiley +1 more source
Mathematical Modelling and Analysis, 2013 In this work, we investigate a sequence of approximations converging to the existing unique solution of a multi-point boundary value problem(BVP) given by a linear fourth-order ordinary differential equation with variable coeffcients involving nonlocal ...
Kemal Ozen, Kamil Orucoglu
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Advanced Healthcare Materials, EarlyView.This review examines how in vitro electrical and mechanical stimulation modulates wound healing in fibroblasts and keratinocytes. Analyzing over 560 experimental data points, we relate stimulation parameters to proliferation and migration outcomes, evaluate platform designs, and highlight the need for multi‐parameter optimization to advance targeted ...
Matthew K. Burgess +3 more
wiley +1 more source
Abstract and Applied Analysis, 2012 We construct a novel reproducing kernel space and give the expression of reproducing kernel skillfully. Based on the orthogonal basis of the reproducing kernel space, an efficient algorithm is provided firstly to solve a three-point boundary value ...
Jing Niu, Yingzhen Lin, Minggen Cui
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Detecting Inverse Boundaries by Weighted High-Order Gradient Collocation Method
Mathematics, 2020 The weighted reproducing kernel collocation method exhibits high accuracy and efficiency in solving inverse problems as compared with traditional mesh-based methods.
Judy P. Yang, Hon Fung Samuel Lam
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