Results 81 to 90 of about 31,275 (174)

Expressing the remainder of the Taylor polynomial when the function lacks smoothness

Elemente der Mathematik, 2017
The Taylor's theorem is a popular and widely used tool for approximating a function by a polynomial. This is only possible when the function possesses continuous derivatives up to a corresponding order. To be able to get a more precise formula for the remainder, i.e.
openaire   +2 more sources

Taylor formula for Kolmogorov equations [PDF]

, 2014
After briefly discuss the natural homogeneous Lie group structure induced by Kolmogorov equations in chapter one, we define an intrinsic version of Taylor polynomials and Holder spaces in chapter two.
Pignotti, Michele
core  

Numerical Integration Based on Nested Taylor Decomposition of Univariate Functions under Fluctuationlessness Approximation

, 2014
The application of the Fluctuationlessness theorem to the remainder term of Taylor decomposition on which both sides are integrated has been already worked on.
GÜRVİT, ERCAN
core   +1 more source

Remainder Differential Algebras and Their Applications

, 1996
In many practical problems in which derivatives are calculated, their basic purpose is to be used in the modeling of a functional dependence, often based on a Taylor expansion to first or higher orders. While the practical computation of such derivatives
Kyoko Makino, Andreas Griewank, Martin Berz, Christian Bischof, George Corliss   +4 more
core  

Theory of Normalized Remainders in Taylor Series Expansions

Since 2023, through the detailed examination of numerous concrete examples, the author and his collaborators have identified a recurring pattern. Building upon this observation, they introduced the concept of the normalized remainder. They deliberately chose this term and subsequently explored its historical background and mathematical significance ...
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Henri Frankfort, Aby Warburg and ‘Mythopoeic Thought’

, 2011
This is the text of a lunchtime lecture given at the Warburg Institute in the spring of 2004. It formed part of a series given by current members of staff which were devoted to the work of past Warburg scholars, and was intended to introduce the ...
Taylor, Paul, Paul Taylor
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An Adaptive Time Step Scheme Based On Taylor'S Remainder Term

, 2016
An adaptive time step method was developed based on the Taylor series remainder term associated with Euler’s method, which is utilized to solve initial value problems involving ordinary differential equations. The accuracy and stability of the developed method was determined for three test cases where one of the test cases was stiff.
openaire   +2 more sources

Bilateral decompressive craniectomy in pediatric patients: A systematic review. [PDF]

Neurosurg Rev
Levin-Carrion Y, Titkov K, Chamma I, Gajbinker A, Bhasin J, Sawhney A, Valdivia DJ, Carrillo G, Perez-Chadid DA, Thibault D, Pando A, Novakovic N, Sun H.   +12 more
europepmc   +1 more source

Multivariate fractional Taylor\u27s formula

, 2007
Here is established a multivariate fractional Taylor\u27s formula using a suitable definition of fractional derivative. As related results we present that the order of fractional-ordinary partial differentiation is immaterial, we discuss fractional ...
Anastassiou, George A.
core  

Validation of Methylated DNA Markers for Esophageal Squamous Cancer: An International Study. [PDF]

Cancer Prev Res (Phila)
Matchett CL, Slettedahl SW, Taylor WR, Chalmers CE, Foote PH, Berger CK, Mulima G, Tomoka T, Khan S, Mahoney DW, Albert PS, Abnet CC, Dawsey SM, Chen Y, Kisiel JB, Iyer PG.   +15 more
europepmc   +1 more source