A COMPARISON OF TWO METHODS FOR SOLUTION OF THE PROBLEM OF BOLZA

Abstract

Two numerical methods of determining optimum paths in the problem of Bolza are presented. The basic theory of the methods is outlined and their essential characteristics are demonstrated by several specific applications to ship routing. The first method is characterized as one of differential corrections employing methods developed by Professor Faulkner. The second method is termed as a method of gradients employing calculation routines developed by Professor Bryson of Harvard. On the basis of the applications comparisons are made in the areas of ease of application and speed in producing results.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1963
Accession Number
AD0482237

Entities

People

  • E. W. Seibel

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Ground and Sea Platforms
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Calculus
  • Calculus Of Variations
  • Coefficients
  • Computations
  • Computers
  • Convergence
  • Differential Equations
  • Equations
  • Errors
  • Euler Equations
  • Geometry
  • Integrals
  • Mathematics
  • Notation
  • Sequences
  • United States
  • Weighting Functions

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Operations Research