Results 31 to 40 of about 1,679 (224)
Applied Sciences, 2020 In-plane free vibration of functionally graded graphene platelets reinforced nanocomposites (FG-GPLRCs) circular arches is investigated by using the two-dimensional theory of elasticity.
Dongying Liu, Jing Sun, Linhua Lan
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Mathematical Modelling and Analysis, 2019 In this paper, we describe the construction of a class of methods with a large area of the stability region for solving Volterra integro-differential equations.
Hassan Mahdi +2 more
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One step multiderivative methods for first order ordinary differential equations
, 1981 A family of one-step multiderivative methods based on Padé approximants to the exponential function is developed. The methods are extrapolated and analysed for use in PECE mode.
E. H. Twizell +3 more
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Stability analysis of reducible quadrature methods for Volterra integro-differential equations [PDF]
, 1987 summary:Stability analysis for numerical solutions of Voltera integro-differential equations based on linear multistep methods combined with reducible quadrature rules is presented.
Jackiewicz, Zdzisław, Bakke, Vernon L.
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One-dimensional adaptive grid generation
International Journal of Mathematics and Mathematical Sciences, 1997 In this work, we give an adaptive grid generation method which allows a single point to be added in the regions of large variation. This method uses a quadrature rule as a weight function.
Ahmed M. M. Khodier, Adel Y. Hassan
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Three Point Identities and Inequalities for n-time Differential Functions
, 1999 Identities and inequalities are obtained involving n-time differentiable functions in terms of evaluations at an interior and at the end points. It is shown how previous work is recaptured as particular instances of the current development.
Cerone, Pietro +2 more
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Time-local discretization of fractional and related diffusive operators using Gaussian quadrature with applications [PDF]
, 2020 This paper investigates the time-local discretization, using Gaussian quadrature, of a class of diffusive operators that includes fractional operators, for application in fractional differential equations and related eigenvalue problems. A discretization
Piot, Estelle +2 more
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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 +2 more
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Advanced Science, EarlyView.A metasurface‐enabled ultrasonic platform achieves precise multi‐focal control through biological barriers, real‐time physiology‐driven modulation, and simultaneous wireless power and data transmission. By unifying wavefront engineering, closed‐loop feedback, and acoustic communication, this work establishes key enabling technologies toward scalable ...
Chuanxin Zhang +3 more
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Optical Windows for Transcranial Brain Imaging in Living Mice: Skull Thinning, Clearing, and Beyond
Advanced Science, EarlyView.Longitudinal, noninvasive in vivo imaging is crucial for studying brain physiology. Advances in transcranial optical windows and multiphoton microscopy have improved imaging depth, but their performance often deteriorates over time. This work investigated various transcranial window approaches and found that skull regrowth limits image quality.
Yiming Fu +5 more
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