ANALYSIS OF A NEW FORMALISM IN PERTURBATION THEORY

Abstract

A large number of problems of mathematical physics may be reduced to the solution of the equation u = f + lambda T (u), where T is a linear transformation. A recent proposal to treat such problems by means of continued fractions is reduced to a more tractable method involving series, and demonstrates the convergence of the resulting series over a larger domain than the classical Neumann series.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1963
Accession Number
AD0408324

Entities

People

  • T. A. Brown

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Air Force
  • Computations
  • Contracts
  • Convergence
  • Eigenvalues
  • Equations
  • Government Procurement
  • Governments
  • Integral Equations
  • Integrals
  • Mathematics
  • Perturbation Theory
  • Perturbations
  • Sequences
  • Theorems
  • United States

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Statistical inference.