Results 71 to 80 of about 2,133 (160)
A class of algorithms for rational approximation of functions formally defined by power series [PDF]
Corresponding sequence algorithms are defined and shown to exist for a wide range of corresponding continued fractions. Particular examples of these algorithms are given, including an algorithm for forming Pade approximants, and an error analysis is ...
Murphy, J A, O'donohoe, M R
core
ABSTRACT The study introduces a computational method that combines Legendre polynomials with Gauss–Lobatto points to solve nonlinear coupled differential equations, focusing on the Williamson fluid model under the influence of mixed convection and permeability with mixed boundary conditions.
R. A. Oderinu +4 more
wiley +1 more source
Extrapolation methods for first order ordinary differential equations [PDF]
Given a system of fist order differential equations, whose coefficient matrix has constant elements, with initial conditions specified, a family of extrapolating algorithms based on Pade approximants to the exponential function is developped.
Twizell, E H
core
Abstract Among the subsurface geophysical methods used in the critical zone investigations, induced polarization (IP) shows great vitality thanks to its unique ability to assess porosity via bulk conduction and estimate permeability through surface conduction and/or polarization.
Youzheng Qi, Yuxin Wu
wiley +1 more source
Multiderivative methods for periodic initial value problems [PDF]
A family of two-step multiderivative methods based on Pade approximants to the exponential function is developed. The methods are analysed and periodicity intervals in PECE mode are calculated.
Khaliq, AQM, Twizell, EH
core
Abstract In this study, a new open‐source package for cloud and precipitation modeling is introduced. Based on Mie theory and existing ice crystal data sets, the scheme generates optical properties for user‐defined gas bands, particle size distribution, and crystal habits, ensuring continuity across wide spectral bands and from small particles (clouds)
Jing Feng, Raymond Menzel, David Paynter
wiley +1 more source
Threshold energies and poles for hadron physical problems by a model-independent universal algorithm
In this work we show how by using a Padé type analytical continuation scheme, based on the Schlessinger point method, it is possible to find higher production thresholds in hadron physical problems.
R.-A. Tripolt +3 more
doaj +1 more source
Multi‐Shot Estimation of Resonance Parameters of Late‐Time Radar Returns in Clutter
A technique for estimating the resonant features of radar targets based on their late‐time returns (LTRs) is presented. Experimental results demonstrate that the technique is effective in scenarios where the target is embedded in significant clutter, and the signal‐to‐noise ratio in the LTRs is quite low.
Mihail S. Georgiev +2 more
wiley +1 more source
A 1D Radiative Transfer Benchmark with Polarization via Doubling and Adding
Highly precise numerical solutions to the radiative transfer equation with polarization present a special challenge. Here, we establish a precise numerical solution to the radiative transfer equation with combined Rayleigh and isotropic scattering in a ...
Ganapol, B. D.
core +1 more source
Approximations for Fractional Derivatives and Fractional Integrals Using Padé Approximation
This paper tackles the persistent challenge of slow convergence and numerical instability in the fractional calculus when applied to power series–representable functions fx=∑i=0∞cixi, limitations that compromise accuracy in scientific applications. A novel reformulation of fractional derivatives and integrals is achieved by applying Padé approximation ...
Ahmed M. Youssef +4 more
wiley +1 more source

