Results 41 to 50 of about 31,275 (174)

A New First Order Taylor-like Theorem With An Optimized Reduced Remainder

CoRR, 2021
This paper is devoted to a new first order Taylor-like formula where the corresponding remainder is strongly reduced in comparison with the usual one which appears in the classical Taylor's formula. To derive this new formula, we introduce a linear combination of the first derivative of the concerned function, which is computed at n+1 equally-spaced ...
Joël Chaskalovic, Hessam Jamshidipour
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Interpolation remainder theory from taylor expansions on triangles

Numerische Mathematik, 1975
The constants in Sobolev norm error bounds are derived for interpolation remainders on triangles. These bounds can be applied to the finite element analysis of elliptic equations on a triangulation of a polygonal region Ω.
BARNHILL, R.E., Gregory, J.A.
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Convergence analysis of a simplified scheme for stochastic Burgers’ equation with additive noise

Results in Applied Mathematics
The aim of this article is to probe the convergence analysis of an efficient scheme, developed by Jentzen et al. (2011), for the stochastic Burgers’ equation (SBE) with term of additive noise. Although, the same scheme was used by Blomker et al.
Feroz Khan, Suliman Khan, Muhammad Zahid Mughal, Feredj Ommar   +3 more
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Uniform Factorial Decay Estimate for the Remainder of Rough Taylor Expansion [PDF]

, 2015
8 ...
Boedihardjo, Horatio, Lyons, Terry, Yang, Danyu   +2 more
openaire   +3 more sources

Generalizing the Classical Remainder Theorem: A Reflection-Based Methodological Strategy

Foundations
The framework of this paper is the presentation of a case study in which university students are required to extend a particular problem of division of polynomials in one variable over the field of real numbers (as generalizing action) clearly influenced
Salvador Cruz Rambaud
doaj   +1 more source

On the generalized Mellin integral operators

Demonstratio Mathematica
In this study, we give a modification of Mellin convolution-type operators. In this way, we obtain the rate of convergence with the modulus of the continuity of the mmth-order Mellin derivative of function ff, but without the derivative of the operator ...
Topuz Cem, Ozsarac Firat, Aral Ali
doaj   +1 more source

Taylor Formula with Remainder Term Evaluated under a Weight Factor at Fluctuationlessness Limit

, 2011
Taylor expansion of a weighted function is taken into consideration. Fluctuationlessness theorem is applied to the remainder term in integral form and finally an expression which provides an approximation method to a family of non-analytic functions is ...

core   +1 more source

Taylor Series Expansion with the Fluctuation Freely Approximated Remainder Over Highly Oscillatory Basis Functions

, 2009
A new formulation is developed here to approximate highly oscillatory functions by applying the Fluctuationlessness Theorem to the remainder term of the Taylor polynomial. To this end a trigonometric basis set is utilized.

core   +2 more sources

Stochastic models of just-in-time systems and windows of vulnerability in terms of the processes of birth and death

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2019
The paper proposes a method for constructing models based on the analysis of birth and death processes with linear growth in semimartingale terms.
Aleksander Aleksandrovich Butov, Anatoly A Kovalenko   +1 more
doaj   +1 more source

Automatic adjoint-based inversion schemes for geodynamics: reconstructing the evolution of Earth's mantle in space and time [PDF]

Geoscientific Model Development
Reconstructing the thermo-chemical evolution of Earth's mantle and its diverse surface manifestations is a widely recognised grand challenge for the geosciences.
S. Ghelichkhan, S. Ghelichkhan, A. Gibson, D. R. Davies, S. C. Kramer, D. A. Ham   +5 more
doaj   +1 more source