Results 31 to 40 of about 8,448 (266)

Effortless quasi-interpolation in hierarchical spaces [PDF]

Numerische Mathematik, 2015
The authors present here the construction of the hierarchical quasi-interpolants, the analysis of the hierarchical space, and the study of its local approximation power in terms of truncated tensor-product polynomial B-splines (cf. [\textit{C. Giannelli} et al., Comput. Aided Geom. Des. 29, No. 7, 485--498 (2012; Zbl 1252.65030)]).
Speleers H., Manni C.
openaire   +2 more sources

Modeling Dislocation Cutting of γ′ Precipitates in Ni‐Base Superalloys: Linking Atomistic and Dislocation Dynamics Simulations

Advanced Engineering Materials, EarlyView.
Dislocation cutting of γ′ precipitates in Ni‐based superalloys is investigated by linking atomistic simulations with discrete dislocation dynamics. The critical cutting stress is shown to be governed by the antiphase boundary energy, while line tension effects promote edge‐preferred cutting.
Frédéric Houllé, Siwen Gao, Marc Fivel, Anxin Ma, Daria Smirnova, Sriram Anand, Arun Prakash, Julien Guénolé, Alexander Hartmaier, Erik Bitzek   +9 more
wiley   +1 more source

A kind of improved bivariate even order Bernoulli-type multiquadric quasi-interpolation operator and its application in two-dimensional coupled Burgers’ equations

Boundary Value Problems
Multiquadric quasi-interpolation is an efficient high-dimensional approximation algorithm. It can directly obtain the approximation term and its derivatives without solving any large-scale linear equations.
Ruifeng Wu
doaj   +1 more source

Implicit cubic B-spline scheme for the fractional Black-Scholes model with Caputo-Hadamard derivative [PDF]

Journal of Mahani Mathematical Research
In this study, we introduce a novel numerical scheme for solving the Black–Scholes equation endowed with a Caputo-Hadamard fractional time derivative. The temporal derivative is discretized via a finite-difference approach, ensuring both stability and ...
Roya Montazeri
doaj   +1 more source

Printed Integrated Logic Circuits Based on Chitosan‐Gated Organic Transistors for Future Edible Systems

Advanced Functional Materials, EarlyView.
Edible electronics needs integrated logic circuits for computation and control. This work presents a potentially edible printed chitosan‐gated transistor with a design optimized for integration in circuits. Its implementation in integrated logic gates and circuits operating at low voltage (0.7 V) is demonstrated, as well as the compatibility with an ...
Giulia Coco, Valerio Francesco Annese, Valerio Galli, Ilaria Penna, Debora Russo, Marina Veronesi, Rita Scarpelli, Stefania Sabella, Mario Caironi   +8 more
wiley   +1 more source

Historical Foundation and Practical Guideline for Ferroelectric Switching Kinetic Studies

Advanced Functional Materials, EarlyView.
The P and U pulses in the conventional PUND measurements are not identical because of the interplay between switching current and the measurement circuit components. This circuit effect can lead to a shift in polarization transients and misinterpreted physics in the switching kinetics.
Yi Liang, Pat Kezer, John T. Heron
wiley   +1 more source

Product quasi-interpolation in logarithmically singular integral equations

Mathematical Modelling and Analysis, 2012
A discrete high order method is constructed and justified for a class of Fredholm integral equations of the second kind with kernels that may have boundary and logarithmic diagonal singularities.
Eero Vainikko, Gennadi Vainikko
doaj   +1 more source

On a quasi-interpolating Bernstein operator

Journal of Approximation Theory, 2015
A special case of the modification of Lagrange interpolation due to Bernstein is considered as follows: \[ B_{n}(f,x) := B_{n,1}(f,x) = \sum_{i=1}^{[n/2]} \, f(x_{2i-1}) \{ l_{2i-1}(x)+l_{2i}(x) \} + (n-2[n/2]) f(x_{n}) l_{n}(x), \] where \(x_{i} := x_{in} = \cos t_{i},\) \(t_{i} := \frac{2i-1}{2n} \pi,\) \(i = 1,2,\ldots, n\) are the roots of the ...
openaire   +2 more sources

From Photoalignment to Structured Light: Liquid Crystal Platforms for Beam Shaping and Complex Wavefronts

Advanced Functional Materials, EarlyView.
Photoaligned and photopatterned liquid crystal platforms provide programmable control of optical phase, polarization, and spin‐orbit interactions, enabling compact generation of structured light and complex wavefronts. This review highlights how tailored molecular orientations transform simple beams into designed optical fields, opening versatile ...
Le Zhou, Tingjun Zhong, Sijie Liu, Pouya Nosratkhah, Ke Xu, Yuzhen Zhao, Kristiaan Neyts   +6 more
wiley   +1 more source

Abel–Goncharov Type Multiquadric Quasi-Interpolation Operators with Higher Approximation Order

Journal of Mathematics, 2021
A kind of Abel–Goncharov type operators is surveyed. The presented method is studied by combining the known multiquadric quasi-interpolant with univariate Abel–Goncharov interpolation polynomials.
Ruifeng Wu
doaj   +1 more source