Results 61 to 70 of about 5,678 (257)

Lagrange interpolation and entire functions [PDF]

open access: yes, 1990
For a function f defined  almost everywhere on R.  Let {Ln (f)} be the sequence of Lagrange interpolation polynomials that approximates f, where the nodes are taken to be the zeros of a certain sequence of orthogonal polynomials.
Al-Jarrah, Radwan, Al-Khaled, Kamel
core  

Some researches on trivariate Lagrange interpolation

open access: yes, 2006
In this paper, in order to go a step further research on the problem of trivariate Lagrange interpolation, we pose the concepts of sufficient intersection of algebraic surfaces and Lagrange interpolation along a space algebraic curve, and extend Cayley ...
Zhang, Jie-Lin   +4 more
core   +1 more source

Topography constrains the climatic response of treeline migration in Taiwan's subalpine forests

open access: yesEcography, EarlyView.
Treelines are moving upslope, but the rates and drivers differ among different regions, globally. Many studies have examined the relationship between treeline movement and climate change, particularly rising temperature, while the role of topographical factors has received much less attention, despite the longstanding recognition of its importance.
Kuan‐Yu Chen   +3 more
wiley   +1 more source

Validation of Acoustic Emission Tomography Using Lagrange Interpolation in a Defective Concrete Specimen

open access: yesApplied Sciences
Acoustic Emission tomography (AET) has the potential to visualize damage in existing structures, contributing to structural health monitoring. Further, AET requires only the arrival times of elastic waves at sensors to identify velocity distributions, as
Katsuya Nakamura   +4 more
doaj   +1 more source

Efficient First‐Principles Inverse Design of Nanolasers

open access: yesLaser &Photonics Reviews, EarlyView.
This article introduces a first‐principles inverse‐design framework for nanolasers that directly incorporates nonlinear lasing physics. By unifying steady‐state ab‐initio laser theory (SALT) with topology optimization, it reveals how spatial hole burning, gain saturation, and cavity‐emitter coupling shape laser performance, enabling efficient discovery
Beñat Martinez de Aguirre Jokisch   +5 more
wiley   +1 more source

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay   +2 more
wiley   +1 more source

The Combined Effects of Variable Viscosity and Thermal Conductivity of An Unsteady Casson Fluid Flow Along a Vertical Porous Channel With Convective Cooling Walls, Using the Bivariate Spectral Local Linearization Method

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This study examines the combined impact of different thermal conductivity and viscosity on unsteady non‐Newtonian Casson fluid flow of incompressible, electrical conductivity in a porous vertical channel with convective cooling walls, uniform magnetic field, and constant pressure gradient.
A. S. Adeyemo   +2 more
wiley   +1 more source

A Novel Optimized Local Linearization Hybrid Block Method for Chaotic Systems: Applications to Stretch‐Twist‐Fold Flow and Bond Orbital Chaotic Attractors

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT The numerical approximation of nonlinear chaotic differential systems, such as the modified stretch‐twist‐fold (STF) flow and multi‐bond chaotic attractors, presents a significant challenge due to their sensitive dependence on initial conditions and complex dynamics where analytical solutions are unattainable.
Shina Daniel Oloniiju, Anastacia Dlamini
wiley   +1 more source

Local convergence of general Steffensen type methods

open access: yesJournal of Numerical Analysis and Approximation Theory, 2004
We study the local convergence of a generalized Steffensen method. We show that this method substantially improves the convergence order of the classical Steffensen method.
Ion Păvăloiu
doaj   +2 more sources

Convergence of Lagrange interpolation series in the Fock spaces [PDF]

open access: yes, 2014
We study the uniqueness sets, the weak interpolation sets, and convergence of the Lagrange interpolation series in radial weighted Fock ...
Kellay, Karim   +3 more
core   +1 more source

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