Results 31 to 40 of about 11,687,734 (245)

Convergence of a collocation scheme for a retarded potential integral equation [PDF]

open access: yes, 2003
Time domain boundary integral formulations of transient scattering problems involve retarded potential integral equations (RPIEs). Solving such equations numerically is both complicated and computationally intensive, and numerical methods often prove to ...
Duncan, D.B.
core   +3 more sources

Fully Legendre spectral collocation technique for stochastic heat equations

open access: yesOpen Physics, 2021
For the stochastic heat equation (SHE), a very accurate spectral method is considered. To solve the SHE, we suggest using a shifted Legendre Gauss–Lobatto collocation approach in combination with a shifted Legendre Gauss–Radau collocation technique.
Abdelkawy Mohamed A.   +3 more
doaj   +1 more source

A generalized spectral collocation method with tunable accuracy for variable-order fractional differential equations

open access: yes, 2015
We generalize existing Jacobi--Gauss--Lobatto collocation methods for variable-order fractional differential equations using a singular approximation basis in terms of weighted Jacobi polynomials of the form (1 ± ϰ)μPja,b(ϰ), where μ > -1.
Zhang, Zhongqiang   +2 more
core   +1 more source

Numerical approximation of space-fractional diffusion equation using Laguerre spectral collocation method

open access: yesInternational Journal of Mathematics for Industry
The space-fractional diffusion equation is extensively used to model various issues in engineering and mathematics. This paper addresses the numerical approximation of the space-fractional-order diffusion equation, using a fractional operator in the ...
Minilik Ayalew   +2 more
doaj   +1 more source

Liquid Crystal Elastomer Actuator Matrix for Large Area Applications

open access: yesAdvanced Materials Technologies, EarlyView.
A scalable approach is used to manufacture a digitally‐controllable, 2D 5 × 5 actuator matrix. The elements of the matrix are produced by direct ink writing of a liquid crystal elastomer ‘artificial muscle’ on large‐area flexible thin‐film heaters. In optimizing the low‐power actuators, multiple heater designs and substrate materials are investigated ...
Giulia Spallanzani   +5 more
wiley   +1 more source

Innate Immunocompetent hiPSC‐Derived Neurospheroids Capture Early CNS Responses to rAAV

open access: yesAdvanced Science, EarlyView.
Knowledge of human CNS immune responses to AAV‐based gene therapies remains limited due to the lack of immune‐competent human models. Here, a hiPSC‐derived 3D neuroimmune platform integrating neurospheroids and microglia is established using stirred‐tank bioreactors.
Catarina M. Gomes   +14 more
wiley   +1 more source

The regularization of spectral methods for hyperbolic Volterra integrodifferential equations with fractional power elliptic operator

open access: yesNonlinear Engineering, 2023
In this study, a numerical approach is presented to solve the linear and nonlinear hyperbolic Volterra integrodifferential equations (HVIDEs). The regularization of a Legendre-collocation spectral method is applied for solving HVIDE of the second kind ...
Mirzaei G. F., Rostamy Davood
doaj   +1 more source

Ferroelectric Devices for In‐Memory and In‐Sensor Computing

open access: yesAdvanced Science, EarlyView.
Inspired by biological systems, in‐memory and in‐sensor computing overcome von Neumann bottlenecks. Ferroelectric devices can mimic synaptic functions and sense stimuli like light or force, therefore are ideal for these paradigms. This review introduces the ferroelectric devices applied for in‐memory and in‐sensor computing, covering their structures ...
Hong Fang   +5 more
wiley   +1 more source

A LIBS Spectral Self-Absorption Correction Method Using Voigt Profile Fitting for the Application of Magnesium Analysis in Phosphorus Ore

open access: yes, 2020
The concentration of MgO is one of the most important parameters in the phosphate ore flotation. The fast detection of the concentration of MgO has great significance for the optimization of the flotation, the improvement of the efficiency and the ...
Sun Lan-xiang   +4 more
core   +1 more source

A localized Fourier collocation method for 2D and 3D elliptic partial differential equations: Theory and MATLAB code

open access: yesInternational Journal of Mechanical System Dynamics, 2022
A localized Fourier collocation method is proposed for solving certain types of elliptic boundary value problems. The method first discretizes the entire domain into a set of overlapping small subdomains, and then in each of the subdomains, the unknown ...
Yan Gu, Zhuojia Fu, Mikhail V. Golub
doaj   +1 more source

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