Results 231 to 240 of about 562,762 (259)
Some of the next articles are maybe not open access.
A New Method for Generating Power Series Expansions of Functions
SIAM Journal on Numerical Analysis, 1968This paper derives a numerical scheme for determining the coefficients of the power series expansion of a given function about the origin. The Laplace transform of the partial sums of coefficients is developed by knowledge of the given function near the origin where it is assumed to be analytic.
Abate, J., Dubner, H.
openaire +2 more sources
METHOD OF FORMAL POWER SERIES IN QUANTUM STOCHASTIC CALCULUS
Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2000The authors consider formal power series whose coefficients are finite sums of iterated stochastic integrals, where quantum stochastic integrators are written as 3 by 3 matrices in the notation of Belavkin. An algebra is naturally constructed for such series, in which multiplication can be treated rigorously without addressing convergence issues.
Hudson, R. L. +2 more
openaire +1 more source
On a method for the Borel summation of n-fold power series
Siberian Mathematical Journal, 1971zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aĭzenberg, L. A., Trutnev, V. M.
openaire +1 more source
Power series methods for eigenvalue calculation
Physics Letters A, 1981Abstract A high-speed procedure for eigenvalue calculation, based on the use of power series, is described and applied to several “difficult” problems from the literature.
openaire +1 more source
Variational perturbation method and power-series approximation method
Journal of Optimization Theory and Applications, 1980The power-series approximation method for solving regular perturbation problems is reexamined to show why the method works. As another way to approach these problems, the variational perturbation technique is described. Although the assumptions on which each method is based and the mechanism of deriving their differential equations are different, the ...
openaire +1 more source
The Method of Multiple Scales and the ∈-Power Series
1998The perturbation strategy known as the “method of multiple scales” lies at the heart of solitary wave theory. First, it is the vehicle by which three-dimensional reality is approximated by one-dimensional models such as the Korteweg-deVries equation. One might call this “reduction of dimension”.
openaire +1 more source
Note on Whittaker's Method for the Roots of a Power Series
The American Mathematical Monthly, 1942This theorem is of interest both for the neat manner in which the root is displayed as a function of the coefficients of the equation and as a means of determining the roots of the algebraic and transcendental equations encountered in the solution of technical problems.
openaire +1 more source