Results 41 to 50 of about 67,137 (234)
On discretely entropy conservative and entropy stable discontinuous Galerkin methods
, 2018 High order methods based on diagonal-norm summation by parts operators can be shown to satisfy a discrete conservation or dissipation of entropy for nonlinear systems of hyperbolic PDEs.
Chan, Jesse
core +1 more source
Advanced Materials Technologies, EarlyView.A compact incubation platform enables long‐term cultivation of biological samples directly on diamond quantum sensors for NV widefield magnetometry. The 3D‐printed biocompatible chamber provides a temperature controlled, CO2${\rm CO}_2$ and humidity rich environment while accommodating total internal reflection excitation geometry.
Andre Pointner +9 more
wiley +1 more source
Linearizing and Forecasting: A Reservoir Computing Route to Digital Twins of the Brain
Advanced Science, EarlyView.A new approach uses simple neural networks to create digital twins of brain activity, capturing how different patterns unfold over time. The method generates and recovers key dynamics even from noisy data. When applied to fMRI, it predicts brain signals and reveals distinctive activity patterns across regions and individuals, opening possibilities for ...
Gabriele Di Antonio +3 more
wiley +1 more source
Double inequalities of Newton's quadrature rule
Journal of Numerical Analysis and Approximation Theory, 2006 In this paper double inequalities of Newton's quadrature rule are given.
Marius Heljiu
doaj +2 more sources
, 2018 We present an effective harmonic density interpolation method for the numerical evaluation of singular and nearly singular Laplace boundary integral operators and layer potentials in two and three spatial dimensions. The method relies on the use of Green'
Faria, Luiz M. +2 more
core +3 more sources
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
wiley +1 more source
Computing Discrepancies of Smolyak Quadrature Rules
Journal of Complexity, 1996 The construction, with the tensor product technique, of the higher dimensional quadrature formulas has been developed, among others, by \textit{S. A. Smolyak} [Dokl. Acad. Nauk SSSR 148, 1042-1045 (1963; Zbl 0202.39901)]. Such a formula is obtained recursively from a sequence of 1-dimensional quadrature rules, for continuous functions in \( C([0, 1]). \
Frank, Karin, Heinrich, Stefan
openaire +1 more source
Advanced Intelligent Systems, Volume 7, Issue 3, March 2025.It is a fact that slippage causes tracking errors in both longitudinal and lateral directions which results to have less travel distance in tracking a reference trajectory. Less travel distance means having energy loss of the battery and carrying loads less than planned.
Gokhan Bayar +2 more
wiley +1 more source
Results in Applied MathematicsThis work considers the optimal quadrature formula in a Hilbert space for the numerical approximation of the integral equations. It discusses the sequence of solving integral equations with quadrature formulas.
Abdullo Hayotov, Samandar Babaev
doaj +1 more source
International Journal of Mathematics and Mathematical Sciences, 2012 A quadrature-based mixed Petrov-Galerkin finite element method is applied to a fourth-order linear ordinary differential equation. After employing a splitting technique, a cubic spline trial space and a piecewise linear test space are considered in the ...
L. Jones Tarcius Doss, A. P. Nandini
doaj +1 more source