Results 71 to 80 of about 2,026,688 (333)

Effective solution of nonlinear DAEs problems using Taylor series method

open access: yesDemonstratio Mathematica
Most methods for solving ordinary differential equations use a limited order to calculate the results. The higher-order method based on the Taylor series presented in this article can use as many terms of the Taylor series as necessary to obtain a stable
Veigend Petr   +2 more
doaj   +1 more source

EMPLOYING DIFFERENT TYPES OF TAYLOR-LIKE METHODS FOR IMAGE PROCESSING AND INITIAL VALUE PROBLEMS

open access: yesAsia-Pacific Journal of Information Technology and Multimedia, 2014
Many articles have addressed different methods to solve numerical problems but in this paper, Sine-Cosine- Taylor like, Cosine Taylor like and Explicit Taylor like methods are used which is utmost importance to solve image processing and initial value ...
Sukumar Senthil Kumar
doaj   +1 more source

Series like Taylor's series

open access: yesAequationes Mathematicae, 1983
Let \(L^ 2\) denote the Banach algebra of Lebesgue-integrable functions \(f: [0,\omega)\to {\mathbb{C}}\) with convolution product ''*'', \(\Omega\) a nonfinite compact subset of the right half-plane Re s\(>0\) and the space of generalized functions \(X_{\Omega}\) the completion of \(L^ 1\) with respect to the norm \[ | x|_{\Omega}=\max_{s\in \Omega}| \
openaire   +2 more sources

The Cauchy-Lagrangian method for numerical analysis of Euler flow

open access: yes, 2015
A novel semi-Lagrangian method is introduced to solve numerically the Euler equation for ideal incompressible flow in arbitrary space dimension. It exploits the time-analyticity of fluid particle trajectories and requires, in principle, only limited ...
Frisch, U.   +2 more
core   +2 more sources

Linearizing and Forecasting: A Reservoir Computing Route to Digital Twins of the Brain

open access: yesAdvanced 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

On generalizations of the series of Taylor, Lagrange, Laurent and Teixeira

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1990
The classical theorems of Taylor, Lagrange, Laurent and Teixeira, are extended from the representation of a complex function F(z), to its derivative F(ν)(z) of complex order ν, understood as either a ‘Liouville’ (1832) or a ‘Rieman (1847 ...
L. M. B. C. Campos
doaj   +1 more source

Interfacial Engineering by Metallic Ions and Organic Ammonium Ligand Passivation for Perovskite Solar Cells

open access: yesAdvanced Science, EarlyView.
A synergistic approach using phenethylammonium iodide (PEAI) and antimony iodide (SbI3) enhances the operational stabilities of perovskite solar cells by providing p‐type doping effect, suitable band energy alignment, reduced defect density, and minimized surface ion vacancies in the perovskite films.
Abraham Adenle   +17 more
wiley   +1 more source

The sign of asymmetry and the Taylor Effect in stochastic volatility models [PDF]

open access: yes, 2007
According to the Taylor-Effect the autocorrelations of absolute financial returns are higher than the ones of squared returns. In this work, we analyze this empirical property for three different asymmetric stochastic volatility models, with short and ...
Veiga, Helena
core   +2 more sources

Linking Plant Metabolomics with Fungal Functional Dynamics Reveals a Noncanonical S‐R‐C Adaptive Trajectory

open access: yesAdvanced Science, EarlyView.
Using field‐based holo‐omics, we demonstrate that developmental shifts in sorghum leaf metabolomes drive a noncanonical fungal succession from stress tolerators (S) through ruderals (R) to competitors (C). Antifungal metabolites in young leaves select for S strategists with expanded genomes, transient maltose pulses during flowering favor fast‐growing ...
Peilin Chen, John W. Taylor, Cheng Gao
wiley   +1 more source

Taylor expansion for matrix functions of vector variable using the Kronecker product

open access: yesVietnam Journal of Mechanics, 2019
Taylor expansion is one of the many mathematical tools that is applied in Mechanics and Engineering. In this paper, using the partial derivative of a matrix with respect to a vector and the Kronecker product, the formulae of Taylor series of vector ...
Nguyen Van Khang   +2 more
doaj   +1 more source

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