IEEE

Taylor series based numerical integration method for solution of nonlinear problems with division

Abstract: Most methods for solving ordinary differential equations use a limited order to calculate the results. The higher order method presented in this article can use as many terms of the Taylor ...
IEEE

Taylor Series Based Method for Generating Digital Sine and Cosine Signals on an FPGA

Abstract: In this paper, we are presenting method for generating digitally sine and cosine signals by applying Taylor series approximation. The methodology is commonly referred to as direct digital ...
Nature

The Taylor Series: an Introduction to the Theory of Functions of a Complex Variable

A POWER series of the form?an(z - z0)n which converges at more than one point, converges inside a circle centre z0 and coincides with the series obtained by applying Taylor's theorem to the ...
JSTOR Daily

Efficient Solution of Nonlinear Ordinary Differential Equations Expressed in S-System Canonical Form

SIAM Journal on Numerical Analysis, Vol. 27, No. 3 (Jun., 1990), pp. 704-735 (32 pages) Ordinary differential equations can be recast into a nonlinear canonical form called an S-system. Evidence for ...
EurekAlert!

Some newly discovered periodic orbits of Newton's 3-body problem are unstable

Isaac Newton's three-body problem, which examines how three bodies affected by gravitation will orbit around each other, is well known in nonlinear dynamics and applied mathematics. In his book ...