Results 21 to 30 of about 2,019,730 (284)
Gaussian integral by Taylor series and applications
REMAT, 2021 In this paper, we present a solution for a specific Gaussian integral. Introducing a parameter that depends on a n index, we found out a general solution inspired by the Taylor series of a simple function.
Lázaro Lima de Sales +5 more
doaj +1 more source
Moving Taylor series for solving one-dimensional one-phase Stefan problem
Alexandria Engineering Journal, 2022 In this work, a modified form of Taylor series is proposed which we call the moving Taylor series. We prove theorems that formulate coefficients of the proposed series along with the formula of its time-derivatives.
A. Elsaid, S.M. Helal
doaj +1 more source
Newton series expansion of bosonic operator functions
SciPost Physics, 2021 We show how series expansions of functions of bosonic number operators are naturally derived from finite-difference calculus. The scheme employs Newton series rather than Taylor series known from differential calculus, and also works in cases where the ...
Jürgen König, Alfred Hucht
doaj +1 more source
Flows and stochastic Taylor series in Ito calculus [PDF]
, 2015 For stochastic systems driven by continuous semimartingales an explicit formula for the logarithm of the Ito flow map is given. A similar formula is also obtained for solutions of linear matrix-valued SDEs driven by arbitrary semimartingales.
Ebrahimi-Fard, Kurusch +3 more
core +5 more sources
Journal of Mathematics, 2014 In this paper, the differential transformation method is applied to the system of Volterra integral and integrodifferential equations with proportional delays. The method is useful for both linear and nonlinear equations.
Şuayip Yüzbaşı, Nurbol Ismailov
doaj +1 more source
Dynamic Model for LES Without Test Filtering: Quantifying the Accuracy of Taylor Series Approximations [PDF]
, 2001 The dynamic model for large-eddy simulation (LES) of turbulent flows requires test filtering the resolved velocity fields in order to determine model coefficients.
Charlette, Fabrice +2 more
core +2 more sources
#Metoo Movement: Backlash or Rhetoric
Space and Culture, IndiaAny form of sexual assault stems from the intersection of power, patriarchal structure and gender. While different countries take different measures to tackle cases of sexual assault, cases continue to rise like a pandemic.
Rituparna Bhattacharyya
doaj +1 more source
Uncertainty propagation on a nonlinear measurement model based on Taylor expansion
Measurement + Control, 2021 In this paper, the propagation of uncertainty on a nonlinear measurement model is presented using a higher-order Taylor series. As the derived formula is based on a Taylor series, it is necessary to compute the partial derivatives of the nonlinear ...
Min-Hee Gu +4 more
doaj +1 more source
When Flexible Forms Are Asked to Flex Too Much
Journal of Agricultural and Resource Economics, 1994 Taylor series-based flexible forms cannot be interpreted as Taylor series approximations unless all data used in estimation lie in a region of convergence.
Paul J. Driscoll
doaj +1 more source
Formal Verification of Medina's Sequence of Polynomials for Approximating Arctangent [PDF]
, 2014 The verification of many algorithms for calculating transcendental functions is based on polynomial approximations to these functions, often Taylor series approximations. However, computing and verifying approximations to the arctangent function are very
Cowles, John, Gamboa, Ruben
core +2 more sources