Results 21 to 30 of about 10,004 (246)
Bias and Extrapolation in Markovian Linear Stochastic Approximation with Constant Stepsizes [PDF]
Measurement and Modeling of Computer Systems, 2022 We consider Linear Stochastic Approximation (LSA) with constant stepsize and Markovian data. Viewing the joint process of the data and LSA iterate as a time-homogeneous Markov chain, we prove its convergence to a unique limiting and stationary ...
Dongyang Huo, Yudong Chen, Qiaomin Xie
semanticscholar +1 more source
On Approximating DSGE Models by Series Expansions [PDF]
SSRN Electronic Journal, 2010 We show how to use a simple perturbation method to solve non-linear rational expectation models. Drawing from the applied mathematics literature we propose a method consisting of series expansions of the non-linear system around a known solution. The variables are represented in terms of their orders of approximation with respect to a perturbation ...
openaire +3 more sources
Williams Expansion Terms and their Importance for Accurate Stress Field Description in Specimens with a Crack [PDF]
Transactions of the VŠB-Technical University of Ostrava, Mechanical Series, 2013 The paper deals with an analysis of the stress and displacement fields in various cracked specimens (loaded in mode I as well as in mode II). The main goal is to determine an accurate approximation of the near-crack-tip fields which can be subsequently
Lucie MALÍKOVÁ, Václav VESELÝ
doaj +1 more source
Superasymptotic and hyperasymptotic approximation to the operator product expansion [PDF]
Physical Review D, 2019 Given an observable and its operator product expansion (OPE), we present expressions that carefully disentangle truncated sums of the perturbative series in powers of $\alpha$ from the non-perturbative (NP) corrections.
C. Ayala, Xabier Lobregat, A. Pineda
semanticscholar +1 more source
Approximation of the Nonlinear B-H Curve by Complex Exponential Series
IEEE Access, 2020 The paper presents an accurate and simple method for the approximation of the nonlinear B-H curves using expansion into complex exponential series. The least-squares fit of the model is obtained by the application of the Moore-Penrose pseudoinverse.
Martin Dadic +2 more
doaj +1 more source
Gain Scheduling Controller Synthesis for Control Moment Gyroscope Using Improved Approximation
SICE Journal of Control, Measurement, and System Integration, 2018 This paper presents gain scheduling (GS) control of a variable speed control moment gyroscope (VSCMG) based on sum of squares (SOS). Nonlinear motion equations of the VSCMG are complicated because they contain many trigonometric functions of angles of ...
Toru Inaba, Gan Chen, Isao Takami
doaj +1 more source
Asymptotic expansion of the mean-field approximation [PDF]
Discrete and Continuous Dynamical Systems. Series A, 2017 We established and estimate the full asymptotic expansion in integer powers of 1 N of the [ $\sqrt$ N ] first marginals of N-body evolutions lying in a general paradigm containing Kac models and non-relativistic quantum evolution.
T. Paul, M. Pulvirenti
semanticscholar +1 more source
Open Mathematics, 2022 In this article, an effective finite element method based on dimension reduction scheme is proposed for a fourth-order Steklov eigenvalue problem in a circular domain.
Zhang Hui, Liu Zixin, Zhang Jun
doaj +1 more source
An Operator-Based Scheme for the Numerical Integration of FDEs
Mathematics, 2021 An operator-based scheme for the numerical integration of fractional differential equations is presented in this paper. The generalized differential operator is used to construct the analytic solution to the corresponding characteristic ordinary ...
Inga Timofejeva +4 more
doaj +1 more source
Results in Physics, 2018 Simple analytic approximations valid for x⩾0 have been found for the modified Bessel functions I2(x) and I2/3(x), used amply in Electromagnetism and Mechanics applications.
Pablo Martin +3 more
doaj +1 more source