Taylors Series Expansion

14,000,000 Leading Edge Experts on the ideXlab platform

Scan Science and Technology

Contact Leading Edge Experts & Companies

Scan Science and Technology

Contact Leading Edge Experts & Companies

The Experts below are selected from a list of 12 Experts worldwide ranked by ideXlab platform

Vahid Nayyeri - One of the best experts on this subject based on the ideXlab platform.

Davoud Zarifi - One of the best experts on this subject based on the ideXlab platform.

Shawki A M Abbas - One of the best experts on this subject based on the ideXlab platform.

  • some notes on Taylors Series Expansion with ode s
    Journal of Al-Nahrain University-Science, 2015
    Co-Authors: Shawki A M Abbas
    Abstract:

    In this paper, our aim is to study the numerical solution of initial value problems (IVPs) for ODE´s is one of the fundamental problems in scientific computation. There are many well-established algorithms for approximate solution of IVPs. However, traditional integration methods usually provide only approximate values for the solution. Precise error bounds are rarely available the error estimates, which are sometimes delivered, are not guaranteed to be accurate and are sometimes unreliable. The main goal of the paper is to present all the existent approaches together emphasizing that since, all researches face the same problem but in different contexts, they are finding the same kinds of problems in spite of there different for mails m5 and methodologies.

R. Lienhart - One of the best experts on this subject based on the ideXlab platform.

  • Position calibration of microphones and loudspeakers in distributed computing platforms
    IEEE Transactions on Speech and Audio Processing, 2005
    Co-Authors: V.c. Raykar, I.v. Kozintsev, R. Lienhart
    Abstract:

    We present a novel algorithm to automatically determine the relative three-dimensional (3-D) positions of audio sensors and actuators in an ad-hoc distributed network of heterogeneous general purpose computing platforms such as laptops, PDAs, and tablets. A closed form approximate solution is derived, which is further refined by minimizing a nonlinear error function. Our formulation and solution accounts for the lack of temporal synchronization among different platforms. We compare two different estimators, one based on the time of flight and the other based on time difference of flight. We also derive an approximate expression for the mean and covariance of the implicitly defined estimator using the implicit function theorem and approximate Taylors' Series Expansion. The theoretical performance limits for estimating the sensor 3-D positions are derived via the Crame/spl acute/r-Rao bound (CRB) and analyzed, with respect to the number of sensors and actuators, as well as their geometry. We report extensive simulation results and discuss the practical details of implementing our algorithms in a real-life system.

Mohammad Soleimani - One of the best experts on this subject based on the ideXlab platform.