An Investigation of Some Extensions of a Method for Generating Power Series.

Abstract

An exploration is carried out of various problems associated with extensions of a method for the computer generation of the power series solutions to differential equations. Among the problems considered are: (1) extending the error analysis to multidimensional series, (2) interpolatory and Laurent series expansions, (3) error analysis for Laurent series, and (4) the treatment of poles in the solutions. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1969
Accession Number
AD0771741

Entities

People

  • Andrew M. Olson
  • William E. Ball

Organizations

  • University of Washington

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Computers
  • Demographic Cohorts
  • Differential Equations
  • Equations
  • Error Analysis
  • Errors
  • Mathematical Analysis
  • Mathematics
  • Power Series
  • Sequences
  • Sequences (Mathematics)

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)