Results 31 to 40 of about 31,275 (174)
, 2009 Based on the Taylor's Theorem for functions of several variables, a new formulation is developed here to approximate the remainder term of the Multivariate Taylor polynomial by means of the recently developed Fluctuation Theorem.
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Probabilistic Taylor-Type Expansions of Functions
MathematicsTaylor–Young and Maclaurin series are widely used for approximating smooth functions around a given point. This study investigates a unified stochastic framework for Taylor-type expansions of functions by means of independent random variables.
Matieyendou Lamboni
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Enhancing the accuracy of the Taylor polynomial by determining the remainder term
CoRR, 2023 We determine the Lagrange function in Taylor polynomial approximation by solving an appropriate initial-value problem. Hence, we determine the remainder term which we then approximate by means of a natural cubic spline. This results in a significant improvement in the quality of the Taylor approximation.
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International Journal of Differential Equations, 2019 This paper formulates sufficiency-type global stability and asymptotic stability results for, in general, nonlinear time-varying dynamic systems with state-trajectory solution-dependent parameterizations.
M. De la Sen
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, 2008 A new formulation is developed here to approximate the remainder term of the Taylor polynomial.
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A new type of Taylor series expansion
Journal of Inequalities and Applications, 2018 We present a variant of the classical integration by parts to introduce a new type of Taylor series expansion and to present some closed forms for integrals involving Jacobi and Laguerre polynomials, which cannot be directly obtained by usual symbolic ...
Mohammad Masjed-Jamei +3 more
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Differentiability of the Remainder Term in Taylor’s Formula
Duke Mathematical Journal, 1943 Not ...
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Novel nested saddle coils used in miniature atomic sensors
AIP Advances, 2018 A novel uniform magnetic field coil structure with two pairs of saddle coils nested is proposed in order to minish the aspect ratio without losing much field uniformity, which is significant in innovative miniature atomic instruments and sensors. Optimal
Wenfeng Wu +5 more
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Generalized geoidal estimators for deterministic modifications of spherical Stokes’ function
Contributions to Geophysics and Geodesy, 2010 Stokes’ integral, representing a surface integral from the product of terrestrial gravity data and spherical Stokes’ function, is the theoretical basis for the modelling of the local geoid.
Michal ŠPRLÁK
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Expressing general constitutive models in FEniCSx using external operators and algorithmic automatic differentiation [PDF]
Journal of Theoretical, Computational and Applied MechanicsMany problems in solid mechanics involve general and non-trivial constitutive models that are difficult to express in variational form. Consequently, it can be challenging to define these problems in automated finite element solvers, such as the FEniCS ...
Andrey Latyshev +3 more
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