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A Mathematical Framework for Quantum Hamiltonian Simulation and Duality. [PDF]

Ann Henri Poincare
Apel H, Cubitt T.
europepmc   +1 more source

Volatility Dynamics of the Tokyo Stock Exchange: A Sectoral Analysis based on the Multivariate GARCH Approach [PDF]

Ka Cheng Tsui, Kin-Yip Ho
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Elegant proofs for properties of normalized remainders of Maclaurin power series expansion of exponential function

Mathematica Slovaca
Abstract In the paper, by establishing an integral representation of a specific Maclaurin power series and in light of two monotonicity rules, the authors present very elegant proofs for several basic properties, including the positivity, (absolute) monotonicity, logarithmic convexity, and inequalities, of the normalized remainders of
Yue-Wu Li, Feng Qi
openaire   +2 more sources

Modeling of LED using Piecewise Linear Approximation and Maclaurin series Expansion

IEEE International Conference on Power Electronics, Intelligent Control and Energy Systems, 2018
LED is a light emitting semiconductor device which is nowadays, swiftly replacing conventional lighting system, owing to its high intensity and low energy consumption. In order to understand the operating characteristics of LED, its modeling is required.
Rachana Garg
exaly   +2 more sources

Numerical simulations for fractional variation of (1 + 1)-dimensional Biswas-Milovic equation

Optik (Stuttgart), 2018
In this work, the residual power series method (RPSM) is used to solve fractional variation of (1 + 1)-dimensional Biswas-Milovic equation that defines the long-space optical communications. The RPSM gets Maclaurin expansion of the solution.
Z. Korpinar
semanticscholar   +2 more sources

Study of Pre-Chaotic and Post-Chaotic Motions in Internal Heat Generation Driven Convection of Palm Oil-Based Nanoliquids: Rigid-Rigid Boundaries

CU Journal of Non-Linear Fluid Mechanics
The paper investigates both linear and non-linear regimes of convection in nanoliquids having palm-oil as the base with internal-heat-generation (IH G ) dominating buoyancy.
P. Siddheshwar
semanticscholar   +3 more sources

Maclaurin series-based Lagrangian method for economic dispatch with valve-point effect

IET Generation, Transmission and Distribution, 2009
S Hemamalini
exaly   +2 more sources

Exact and Approximate Solutions of Heat Fractional Differential Equation Using Laplace Residual Power Series Method

2023 International Conference on Fractional Differentiation and Its Applications (ICFDA), 2023
This study deals with the analytical and approximate solutions of the Heat fractional Partial differential equation under Caputo’s definition. Through a practical and highly efficient technique called Laplace residual power series method.
Hussam Aljarrah, Mohammad Alaroud, Anuar Ishak, M. Darus, S. Momani   +4 more
semanticscholar   +1 more source

New formulas for Maclaurin's series expansions of powers of arctangent and other related topics

Integral Transforms and Special Functions
A. V. Grishaev, V. F. Sazonov
openaire   +3 more sources

Approximate solutions of bright and dark optical solitons in birefrigent fibers

, 2017
In this article, the residual power series method (RPSM) for solving the nonlinear Schrödinger equation is introduced. Residual power series algorithm gets Maclaurin expansion of the numerical soliton solutions to birefringent fibers.
M. Qurashi, Z. Korpinar
semanticscholar   +2 more sources