Results 61 to 70 of about 11,225 (259)

Recent Advances in Laser‐Induced Graphene‐Based Gas Sensors: From Sensing Mechanisms to Biomedical Applications

open access: yesAdvanced Science, EarlyView.
Laser‐induced graphene (LIG) provides a scalable, laser‐direct‐written route to porous graphene architecture with tunable chemistry and defect density. Through heterojunction engineering, catalytic functionalization, and intrinsic self‐heating, LIG achieves highly sensitive and selective detection of NOX, NH3, H2, and humidity, supporting next ...
Md Abu Sayeed Biswas   +6 more
wiley   +1 more source

Approximating solutions of equations using Newton's method with a modified Newton's method iterate as a starting point

open access: yesJournal of Numerical Analysis and Approximation Theory, 2007
In this study we are concerned with the problem of approximating a locally unique solution of an equation in a Banach space setting using Newton's and modified Newton's methods. We provide weaker convergence conditions for both methods than before [6]-[8]
Ioannis Argyros
doaj   +2 more sources

Kantorovich’s majorants principle for Newton’s method

open access: yes
Kantorovich’s theorem, Newton’s method,
B. Svaiter, O. Ferreira
core   +1 more source

Stress History Establishes a Transient Tolerant State That Shapes Antibiotic Survival Upon Resuscitation

open access: yesAdvanced Science, EarlyView.
High‐throughput single‐cell analysis of resuscitating bacteria reveals a starvation‐history‐dependent transiently tolerant subpopulation that survives β$\beta$‐lactam exposure by temporarily reducing growth. Distinct from classical persisters, these actively growing yet dynamically modulated cells dominate survival across clinically relevant antibiotic
Kieran Abbott   +5 more
wiley   +1 more source

Numerical Analysis of Time-Accurate Solution of Nonlinear Flow Models by Implicit Finite Differences

open access: yesNonlinear Analysis, 2003
Implicit finite differences are often applied to solve flow models. A standard technique to solve these equations is Newton's method. lf time step is too large although the difference equation could be computationally stable, Newton's method may fail ...
S. K. Dey
doaj   +1 more source

Newton’s Fractals All Around: Newton’s Method and Fractals

open access: yes, 2014
Newton’s method is a topic that is accessible to calculus students. We use Newton’s method to approximate the zeros of a given function using an iterative process. When considering a function with several zeros, the initial point determines which root of
Somersett, Christine
core  

Comparison between Newton’s Method and a new Scaling Newton Method / Ramizah Baharuddin [PDF]

open access: yes, 2021
Newton's Method also called the Newton-Raphson method is a recursive algorithm for approximating the root of a differentiable function. Being one of the most widely used method of root finding, the procedure attempt to find a solution of the equation f ...
Baharuddin, Ramizah
core  

Topology‐Enriched Toughness Enhancement in Quasi‐Periodic Metastructures Featuring Tailorable Strong‐Weak Network

open access: yesAdvanced Science, EarlyView.
A quasi‐periodic Dart‐Kite (QDK) metastructure with a golden‐ratio‐constrained strong–weak bond network simultaneously enhances strength, toughness, and damage tolerance. Its distributed topology enables predictable, tailorable crack paths for precise fracture control and stable mechanics, demonstrating a high‐performance, controllable architecture ...
Tianyu Gao   +3 more
wiley   +1 more source

A Novel Geometric Modification to the Newton-Secant Method to Achieve Convergence of Order 1+2 and Its Dynamics

open access: yesModelling and Simulation in Engineering, 2015
A geometric modification to the Newton-Secant method to obtain the root of a nonlinear equation is described and analyzed. With the same number of evaluations, the modified method converges faster than Newton’s method and the convergence order of the new
Gustavo Fernández-Torres
doaj   +1 more source

Quantum Photothermal Self‐Monitoring Fiber Probes for In Vivo Photothermal Therapy

open access: yesAdvanced Science, EarlyView.
A miniaturized quantum photothermal fiber probe based on a metal/polymer/glass composite optoelectronic fiber that simultaneously guides lightwave and microwave was developed for the first time. The probe achieves enhanced photothermal conversion (13°C/mW, 25°C–120°C range) while providing real‐time self‐monitoring with 0.2°C thermal resolution at the ...
Wanjun Li   +12 more
wiley   +1 more source

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