The Emergence of Turing Instability and Pattern Formation in a Nonlinear Stochastic Spatiotemporal Epidemic Model with Reinfections. [PDF]
Acta BiotheorSingh AK +3 more
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Group-based trajectory modeling for declines in hepatitis B surface antigen over time accurately identifies chronic hepatitis B patients achieving functional cure: a single-center cohort study in China. [PDF]
Ann MedPeng Y, Liu L, Wu X.
europepmc +1 more source
Near-Real-Time Material Tracking: Combining Vis-NIR Spectroscopy with Flow Sensing for Accurate Nd(III) Quantification. [PDF]
ACS OmegaIrvine SB +4 more
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Taylor polynomial solutions of linear differential equations [PDF]
Applied Mathematics and Computation, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kesan, CENK
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Taylor’s polynomial and infinitesimals
Resonance, 2014Taylor’s theorem in analysis provides a way of approximating an n+1-times differentiable real function by an nth degree polynomial in a neighbourhood of a point x 0. The usefulness of the theorem lies in the fact that if the bounds on |f (n+1)(x)| are known, then the error introduced by the polynomial approximation can ...
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Local Polynomial Derivative Estimation: Analytic or Taylor? [PDF]
, 2016 Abstract Local polynomial regression is extremely popular in applied settings. Recent developments in shape-constrained nonparametric regression allow practitioners to impose constraints on local polynomial estimators thereby ensuring that the resulting estimates are consistent with underlying theory.
Jeffrey S. Racine
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Taylor polynomial solution of hyperbolic type partial differential equations with constant coefficients [PDF]
International Journal of Computer Mathematics, 2011 WOS: 000287923900010The purpose of this study is to give a Taylor polynomial approximation for the solution of hyperbolic type partial differential equations with constant coefficients.
Berna Bulbul, Mehmet Sezer
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q-Taylor theorems, polynomial expansions, and interpolation of entire functions [PDF]
Journal of Approximation Theory, 2003 We establish q-analogues of Taylor series expansions in special polynomial bases for functions analytic in bounded domains and for entire functions whose maximum modulus M(r;f) satisfies |lnM(r;f)|⩽Aln2r.
Dennis Stanton
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Fast Taylor polynomial evaluation for the computation of the matrix cosine [PDF]
Journal of Computational and Applied Mathematics, 2019 [EN] In this work we introduce a new method to compute the matrix cosine. It is based on recent new matrix polynomial evaluation methods for the Taylor approximation and a mixed forward and backward error analysis.
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