Results 31 to 40 of about 112,714 (291)

OpenMP parallelization of multiple precision Taylor series method

open access: yesCoRR, 2019
8 pages, 3 ...
Stefka Dimova   +7 more
openaire   +2 more sources

A Borel Transform Method for Locating Singularities of Taylor and Fourier Series [PDF]

open access: yesJournal of Statistical Physics, 2007
Given a Taylor series with a finite radius of convergence, its Borel transform defines an entire function. A theorem of Pólya relates the large d istance behavior of the Borel transform in different directions to singularities of the original function.
Pauls, W., Frisch, U.
openaire   +4 more sources

Local Convergence of Traub’s Method and Its Extensions

open access: yesFractal and Fractional, 2023
In this article, we examine the local convergence analysis of an extension of Newton’s method in a Banach space setting. Traub introduced the method (also known as the Arithmetic-Mean Newton’s Method and Weerakoon and Fernando method) with an order of ...
Muhammed Saeed K   +4 more
doaj   +1 more source

Estimates in the Taylor series method for polynomial total systems of PDEs [PDF]

open access: yes, 2021
Many of total systems of PDEs can be reduced to the polynomial form. As was shown by various authors, one of the best methods for the numerical solution of the initial value problem for ODE systems is the Taylor Series Method (TSM). In the article, the
Pototskaya, Irina Yu.   +2 more
core   +1 more source

A Dislocation Perspective on Strength and Toughness in Ceramics

open access: yesAdvanced Engineering Materials, EarlyView.
Dislocations in ceramics enjoy a long but yet under‐appreciated history. The three research waves for dislocations in ceramics highlight the topic evolution over the last 90 years. This review focuses on the impact of dislocation on strength and toughness in ceramics.
Xufei Fang
wiley   +1 more source

3D Printing Innovations in Polymeric Porous and Patterned Architecture

open access: yesAdvanced Functional Materials, EarlyView.
Polymeric foams occupy a unique structural space between dense solids and open networks, where engineered void fraction governs mechanical compliance, thermal resistance, and mass transport. Additive manufacturing now enables precise spatial control over cellular architecture, unlocking designer foam structures across applications spanning crash ...
Dhanush Patil   +13 more
wiley   +1 more source

Polynomial approach for the most general linear Fredholm integrodifferential-difference equations using Taylor matrix method

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2006
A Taylor matrix method is developed to find an approximate solution of the most general linear Fredholm integrodifferential-difference equations with variable coefficients under the mixed conditions in terms of Taylor polynomials.
Mehmet Sezer, Mustafa Gülsu
doaj   +1 more source

Wilkinson Polynomials: Accuracy Analysis Based on Numerical Methods of the Taylor Series Derivative

open access: yesDesimal, 2020
Some of the numeric methods for solutions of non-linear equations are taken from a derivative of the Taylor series, one of which is the Newton-Raphson method. However, this is not the only method for solving cases of non-linear equations.
Vera Mandailina   +4 more
doaj   +1 more source

Taylor series method in TDOA approach for indoor positioning system

open access: yes, 2019
Localisation technologies have always remained in the limelight of positioning-science as researchers have ever shown keen interest to know the exact positions of things.
Shoney Sebastian   +3 more
core   +1 more source

Toward Wireless Implantable Robotic Systems Driven by Magnetic Field for Personalized Therapy

open access: yesAdvanced Robotics Research, EarlyView.
Robotic materials are playing an increasingly vital role in enabling sensing and actuation at small scales. This perspective highlights recent advances in magnetic materials and magnetically actuated devices for wireless sensing, actuation, and energy harvesting toward implantable robotic systems for closed‐loop therapy.
Yusheng Wang, Ruijian Ge, Xiaoguang Dong
wiley   +1 more source

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