Relevant bibliographies by topics / Taylor-type Expansion

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Conference papers

Academic literature on the topic 'Taylor-type Expansion'

Author: Grafiati
Published: 4 June 2021
Last updated: 16 February 2022

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Taylor-type Expansion.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Journal articles on the topic "Taylor-type Expansion"

1

Joyal, Pierre. "Un théorème de préparation pour fonctions à développement Tchébychévien." Ergodic Theory and Dynamical Systems 14, no. 2 (1994): 305–29. http://dx.doi.org/10.1017/s0143385700007896.

Full text
Abstract:
AbstractIn this article, we prove a preparation theorem for functions which admit a certain type of expansion called Chebychev expansion. Taylor expansions are particular cases of Chebychev expansions. The result is based on an approach essentially different from those used for the classical preparation theorems. It has applications in bifurcation theory of vector fields.
APA, Harvard, Vancouver, ISO, and other styles
2

Ma, Yingbin, and Cui Wang. "Disjoint hypercyclicity equals disjoint supercyclicity for families of Taylor-type operators." Open Mathematics 16, no. 1 (2018): 597–606. http://dx.doi.org/10.1515/math-2018-0054.

Full text
Abstract:
AbstractWe characterize disjointness of supercyclic operators which map a holomorphic function to a partial sum of the Taylor expansion. In particular, we show that disjoint hypercyclicity equals disjoint supercyclicity for families of Taylor-type operators. Moreover, we give a sufficient condition to yield the disjoint supercyclicity for families of Taylor-type operators.
APA, Harvard, Vancouver, ISO, and other styles
3

Ozer, Okan, and Halide Koklu. "An Alternative Approach to Energy Eigenvalue Problems of Anharmonic Potentials." Advances in Mathematical Physics 2014 (2014): 1–6. http://dx.doi.org/10.1155/2014/537563.

Full text
Abstract:
Energy eigenvalues of quartic and sextic type anharmonic potentials are obtained by using an alternative method called asymptotic Taylor expansion method (ATEM) which is an approximate approach based on the asymptotic Taylor series expansion of a function. It is shown that the energy eigenvalues found by ATEM are in excellent agreement with the existing results.
APA, Harvard, Vancouver, ISO, and other styles
4

Yu, Mingzhou, and Jianzhong Lin. "Taylor series expansion scheme applied for solving population balance equation." Reviews in Chemical Engineering 34, no. 4 (2018): 561–94. http://dx.doi.org/10.1515/revce-2016-0061.

Full text
Abstract:
Abstract Population balance equations (PBE) are widely applied to describe many physicochemical processes such as nanoparticle synthesis, chemical processes for particulates, colloid gel, aerosol dynamics, and disease progression. The numerical study for solving the PBE, i.e. population balance modeling, is undergoing rapid development. In this review, the application of the Taylor series expansion scheme in solving the PBE was discussed. The theories, implement criteria, and applications are presented here in a universal form for ease of use. The aforementioned method is mathematically econom
APA, Harvard, Vancouver, ISO, and other styles
5

Gritsans, A., and F. Sadyrbaev. "THE TAYLOR SERIES EXPANSION COEFFICIENTS FOR SOLUTIONS OF THE EMDEN‐FOWLER TYPE EQUATIONS." Mathematical Modelling and Analysis 10, no. 3 (2005): 247–56. http://dx.doi.org/10.3846/13926292.2005.9637285.

Full text
Abstract:
We present the explicit non‐recursive formulas for the Taylor series expansion coefficients for the functions Sn (t) defined as solutions of the Emden ‐ Fowler type equations x” = –nx 2n−1 with the initial conditions x(0) = 0, x‘(0) = 1, where n = 1,2,… Pateikiamos vadinamos Emdeno‐Faulerio lygties x” = –nx 2n−1 pradinio uždavinio x(0) = 0, x‘(0) = 1,(n = 1,2,…) sprendiniu Sn (t) Teiloro eilute koeficientu išreikštines formules. Jos yra nerekursyvine.
APA, Harvard, Vancouver, ISO, and other styles
6

Zhu, Song-Ping, and Guang-Hua Lian. "On the Convexity Correction Approximation in Pricing Volatility Swaps and VIX Futures." New Mathematics and Natural Computation 14, no. 03 (2018): 383–401. http://dx.doi.org/10.1142/s1793005718500230.

Full text
Abstract:
Convexity correction is a well-known approximation technique used in pricing volatility swaps and VIX futures. However, the accuracy of the technique itself and the validity condition of this approximation have hardly been addressed and discussed in the literature. This paper shows that, through both theoretical analysis and numerical examples, this type of approximations is not necessarily accurate and one should be very careful in using it. We also show that a better accuracy cannot be achieved by extending the convexity correction approximation from a second-order Taylor expansion to third-
APA, Harvard, Vancouver, ISO, and other styles
7

Liu, Ping, Junping Shi, Rui Wang, and Yuwen Wang. "Bifurcation Analysis of a Generic Reaction–Diffusion Turing Model." International Journal of Bifurcation and Chaos 24, no. 04 (2014): 1450042. http://dx.doi.org/10.1142/s0218127414500424.

Full text
Abstract:
A generic Turing type reaction–diffusion system derived from the Taylor expansion near a constant equilibrium is analyzed. The existence of Hopf bifurcations and steady state bifurcations is obtained. The bifurcation direction and the stability of the bifurcating periodic obits are calculated. Numerical simulations are included to show the rich spatiotemporal dynamics.
APA, Harvard, Vancouver, ISO, and other styles
8

Nguyen-Ba, Truong, Vladan Bozic, Emmanuel Kengne, and Rémi Vaillancourt. "Nine-stage multi-derivative Runge-Kutta method of order 12." Publications de l'Institut Math?matique (Belgrade) 86, no. 100 (2009): 75–96. http://dx.doi.org/10.2298/pim0900075n.

Full text
Abstract:
A nine-stage multi-derivative Runge-Kutta method of order 12, called HBT(12)9, is constructed for solving nonstiff systems of first-order differential equations of the form y'= f(x, y), y(x0) = y0. The method uses y' and higher derivatives y(2) to y(6) as in Taylor methods and is combined with a 9-stage Runge-Kutta method. Forcing an expansion of the numerical solution to agree with a Taylor expansion of the true solution leads to order conditions which are reorganized into Vandermonde-type linear systems whose solutions are the coefficients of the method. The stepsize is controlled by means o
APA, Harvard, Vancouver, ISO, and other styles
9

Dembo, Amir, and Reza Gheissari. "Diffusions interacting through a random matrix: universality via stochastic Taylor expansion." Probability Theory and Related Fields 180, no. 3-4 (2021): 1057–97. http://dx.doi.org/10.1007/s00440-021-01027-7.

Full text
Abstract:
AbstractConsider $$(X_{i}(t))$$ ( X i ( t ) ) solving a system of N stochastic differential equations interacting through a random matrix $${\mathbf {J}} = (J_{ij})$$ J = ( J ij ) with independent (not necessarily identically distributed) random coefficients. We show that the trajectories of averaged observables of $$(X_i(t))$$ ( X i ( t ) ) , initialized from some $$\mu $$ μ independent of $${\mathbf {J}}$$ J , are universal, i.e., only depend on the choice of the distribution $$\mathbf {J}$$ J through its first and second moments (assuming e.g., sub-exponential tails). We take a general comb
APA, Harvard, Vancouver, ISO, and other styles
10

Yadav, Swati, Rajesh K. Pandey, Anil K. Shukla, and Kamlesh Kumar. "High-order approximation for generalized fractional derivative and its application." International Journal of Numerical Methods for Heat & Fluid Flow 29, no. 9 (2019): 3515–34. http://dx.doi.org/10.1108/hff-11-2018-0700.

Full text
Abstract:
Purpose This paper aims to present a high-order scheme to approximate generalized derivative of Caputo type for μ ∈ (0,1). The scheme is used to find the numerical solution of generalized fractional advection-diffusion equation define in terms of the generalized derivative. Design/methodology/approach The Taylor expansion and the finite difference method are used for achieving the high order of convergence which is numerically demonstrated. The stability of the scheme is proved with the help of Von Neumann analysis. Findings Generalization of fractional derivatives using scale function and wei
APA, Harvard, Vancouver, ISO, and other styles

Dissertations / Theses on the topic "Taylor-type Expansion"

1

Meng, Jin. "Coding Theorems via Jar Decoding." Thesis, 2013. http://hdl.handle.net/10012/7359.

Full text
Abstract:
In the development of digital communication and information theory, every channel decoding rule has resulted in a revolution at the time when it was invented. In the area of information theory, early channel coding theorems were established mainly by maximum likelihood decoding, while the arrival of typical sequence decoding signaled the era of multi-user information theory, in which achievability proof became simple and intuitive. Practical channel code design, on the other hand, was based on minimum distance decoding at the early stage. The invention of belief propagation decoding with soft
APA, Harvard, Vancouver, ISO, and other styles

Conference papers on the topic "Taylor-type Expansion"

1

Yang, En-hui, and Jin Meng. "Channel capacity in the non-asymptotic regime: Taylor-type expansion and computable benchmarks." In 2012 50th Annual Allerton Conference on Communication, Control, and Computing (Allerton). IEEE, 2012. http://dx.doi.org/10.1109/allerton.2012.6483230.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Gülpinar, Caner, Meseret Tuba Gülpinar, and Metin Demiralp. "Taylor series expansion with the fluctuation freely approximated remainder over gauss wave type basis functions." In INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING 2009: (ICCMSE 2009). AIP, 2012. http://dx.doi.org/10.1063/1.4771819.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Chen, Changping, Yejie Jiang, and Liming Dai. "Nonlinear Static Research of an Electrically Actuated Piezoelectric Laminated Microbeam." In ASME 2009 International Mechanical Engineering Congress and Exposition. ASMEDC, 2009. http://dx.doi.org/10.1115/imece2009-10685.

Full text
Abstract:
The paper presents a nonlinear static research for an electrically actuated piezoelectric laminated micro-beam. On the basis of the Euler-Bernoulli hypothesis, and the responses under electric force [a purely direct current (DC)] are investigated. By using the Taylor series expansion, a set of governing equations of nonlinear integro-differential type is derived. Then using the Galerkin method, an analytical is presented. Numerical examples show, when a purely DC is applied, there exist an instantaneous pull-in voltage, the effect of the pull-in phenomenon have the relation not with elastic pa
APA, Harvard, Vancouver, ISO, and other styles
4

Murata, Akira, and Kaoru Iwamoto. "Heat and Fluid Flow in Expanding Concentric Annular Flow-Passage With Rotating Inner-Wall." In 2010 14th International Heat Transfer Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/ihtc14-22403.

Full text
Abstract:
An annular flow passage with a rotating inner wall is widely seen in many industrial apparatuses. In this type of passages, the flow is disturbed by the multiple reasons: the centrifugal forces due to the streamline curvature in the through-flow and circumferential directions, the centrifugally driven flow in the through-flow direction depending on the passage inclination, and the adverse pressure gradient due to the flow-passage expansion resulting in the flow separation. In this study, heat and fluid flow in this type of annular flow passage was numerically investigated. The large eddy simul
APA, Harvard, Vancouver, ISO, and other styles
5

Chen, Changping, Yejie Jiang, and Liming Dai. "Nonlinear Dynamic Analysis of an Electrically Actuated Piezoelectric Laminated Microbeam With the Effect of AC." In ASME 2010 International Mechanical Engineering Congress and Exposition. ASMEDC, 2010. http://dx.doi.org/10.1115/imece2010-37029.

Full text
Abstract:
The paper presents not a nonlinear static research but dynamic anlysis for an electrically actuated piezoelectric laminated micro-beam. On the basis of the Euler-Bernoulli hypothesis, and the responses under electric force [a purely direct current and a combined current composed of a direct current and an alternating current] are investigated, respectively. By using the Taylor series expansion, a set of governing equations of nonlinear integro-differential type is derived. Then using the Galerkin method and the fourth-order Runge-Kutta method, an analytical is presented. Numerical examples sho
APA, Harvard, Vancouver, ISO, and other styles
6

Nicolas, Jean, Noureddine Atalla, Olivier Foin, and Alain Berry. "Structural Acoustic Design." In ASME 1995 Design Engineering Technical Conferences collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium. American Society of Mechanical Engineers, 1995. http://dx.doi.org/10.1115/detc1995-0451.

Full text
Abstract:
Abstract Nowadays, acoustic quietening of manufactured products is gaining importance. Due to cost, severe weight and operational constraints, classical noise control techniques, although still usable, are becoming less attractive. Nowadays, engineers follow essentially two major approaches (i) reduce noise by passive means, design modifications of structures and systems (ii) reduce noise by active sound and vibration control. This paper is devoted to the structural acoustic design approach for which there are either some simple rules of thumb either huge numerical codes. The main objective of
APA, Harvard, Vancouver, ISO, and other styles
7

Filippi, Matteo, and Erasmo Carrera. "Advanced Zig-Zag Beam Theories for Sandwich Structures Analyses." In ASME 2018 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/imece2018-86783.

Full text
Abstract:
This work aims at evaluating the capabilities of several higher-order beam formulations for stress and dynamic analyses of layered sandwich structures. The structural models are conceived within the framework of the Carrera Unified Formulation (CUF) that allows one to generate (and compare) an infinite number of displacement fields. The number and the type of functions that are selected to generate the kinematic expansions are input parameters of the problem. Besides the well-known Taylor- and Lagrange-type expansions, great attention is paid to a new class of advanced higher-order zig-zag the
APA, Harvard, Vancouver, ISO, and other styles
8

Yang, Chulho, Young Bae Chang, Jongsung Sa, and Junyoung Park. "Enhancement of an Optimization-Based Damage Detection Technique." In ASME 2015 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/imece2015-52775.

Full text
Abstract:
Various structural health monitoring (SHM) techniques utilizing vibration signals have been developed for identification of damages in a structure. Many of these studies are based on sensitivity analysis, finite element model (FEM) updating, and optimization techniques. FEM updating technique is one of the major techniques that iteratively minimizes the difference between the modal parameters measured from the real structure and the corresponding analytical predictions. This method would be more beneficial for typical continuous systems such as beams, plates, and shells which cannot be reasona
APA, Harvard, Vancouver, ISO, and other styles
We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!

To the bibliography