INVARIANT IMBEDDING AND MATHEMATICAL PHYSICS, 1: PARTICLE PROCESSES

Abstract

Using invariance principles in a systematic fashion, new analytic formulations are derived of the classical particle processes, those of transport theory, radiative transfer; random walk, multiple scattering, and diffusion theory, as well as new computational algorithms which seem well fitted to the capabilities of digital computers. Whereas the usual methods reduce problems to the solution of systems of linear equations, here the problems are reduced to the iteration of nonlinear transformations.

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Document Details

Document Type
Technical Report
Publication Date
Mar 21, 1960
Accession Number
AD0616416

Entities

People

  • G. M. Wing
  • Richard E. Bellman
  • Robert E. Kalaba

Organizations

  • RAND Corporation

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Boltzmann Equation
  • Boundary Value Problems
  • Computers
  • Differential Equations
  • Diffusion Theory
  • Digital Computers
  • Equations
  • Formulas (Mathematics)
  • Integral Equations
  • Partial Differential Equations
  • Probability
  • Radiative Transfer
  • Random Variables
  • Random Walk
  • Scattering
  • Stochastic Processes

Fields of Study

  • Mathematics
  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Mathematical Modeling and Probability Theory.