Author
W. O. Pennell
Bio: W. O. Pennell is an academic researcher from Southwestern Bell. The author has contributed to research in topics: Linear differential equation & Method of undetermined coefficients. The author has an hindex of 1, co-authored 1 publications receiving 2 citations.
Papers
More filters
TL;DR: In this article, a new method for determining a series solution of linear differential equations with constant or variable coefficients was proposed, based on the series solution with constant and variable coefficients (SVC) method.
Abstract: (1926). A New Method for Determining A Series Solution of Linear Differential Equations with Constant or Variable Coefficients. The American Mathematical Monthly: Vol. 33, No. 6, pp. 293-307.
2 citations
Cited by
More filters
07 Jan 2007
TL;DR: In this article, the first N terms of a vector (or a full basis) of power series solutions of a linear system of differential equations at an ordinary point are computed using a number of arithmetic operations that is quasi-linear with respect to N.
Abstract: We propose algorithms for the computation of the first N terms of a vector (or a full basis) of power series solutions of a linear system of differential equations at an ordinary point, using a number of arithmetic operations that is quasi-linear with respect to N. Similar results are also given in the non-linear case. This extends previous results obtained by Brent and Kung for scalar differential equations of order 1 and 2.
42 citations
Posted Content•
TL;DR: Algorithm for the computation of the first N terms of a vector (or a full basis) of power series solutions of a linear system of differential equations at an ordinary point is proposed, using a number of arithmetic operations that is quasi-linear with respect to N.
Abstract: We propose new algorithms for the computation of the first N terms of a vector (resp. a basis) of power series solutions of a linear system of differential equations at an ordinary point, using a number of arithmetic operations which is quasi-linear with respect to N. Similar results are also given in the non-linear case. This extends previous results obtained by Brent and Kung for scalar differential equations of order one and two.
4 citations