Naval Postgraduate School
Dudley Knox Library
NPS Dudley Knox Library
View Item 
  •   Calhoun Home
  • Theses and Dissertations
  • 1. Thesis and Dissertation Collection, all items
  • View Item
  •   Calhoun Home
  • Theses and Dissertations
  • 1. Thesis and Dissertation Collection, all items
  • View Item
  • How to search in Calhoun
  • My Accounts
  • Ask a Librarian
JavaScript is disabled for your browser. Some features of this site may not work without it.

Browse

All of CalhounCollectionsThis Collection

My Account

LoginRegister

Statistics

Most Popular ItemsStatistics by CountryMost Popular Authors

A comparison between steepest ascent and differential correction optimization methods in a problem of Bolza, with a method for obtaining starting values for the adjoint variables from a nominal path

Thumbnail
Download
Iconcomparisonbetwee00mccu.pdf (3.006Mb)
Download Record
Download to EndNote/RefMan (RIS)
Download to BibTex
Author
McCue, William W.
Good, Robert C.
Date
1963
Advisor
Faulkner, Frank D.
Metadata
Show full item record
Abstract
The problem of maximum range atmospheric reentry for an orbiting lifting glider was treated by Bryson and Denham by the method of "steepest ascent". The same problem is undertaken here by a method of differential corrections developed by Faulkner , This method makes use of a Newton-Raphson type iteration based on paths which satisfy the Euler-Lagrange equations, A comparison of results is made, showing large differences in control variable history, and longer range for the path obtained by differential corrections. The problem was characterized by a sharp "ridge" in the domain of the starting values of the adjoint variables and the effect of this on the convergence of both methods is discussed. Finally , the difficulty of choosing initial approximations for the starting values of the adjoint variables is discussed, and a method is presented for obtaining these from a nominal path as the first step in the computer routine.
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
URI
http://hdl.handle.net/10945/11798
Collections
  • 1. Thesis and Dissertation Collection, all items

Related items

Showing items related by title, author, creator and subject.

  • Thumbnail

    A look at some methods of solving partial differential equations and eigenvalue problems 

    Bloxom, Edward Leon (Monterey, California. Naval Postgraduate School, 1972-03);
    Four techniques for the numerical solution of partial differential equations and eigenvalue problems were investigated. Typical problems considered were elliptic partial differential equations of the form Uxx + Uyy = f(x,y), ...
  • Thumbnail

    Application of the adjoint system of differential equations in the solution of the bang-bang control problem 

    McCalla, Thomas Richard (Monterey, California. Naval Postgraduate School, 1961);
    Some problems in the optimum control of a linear dynamic system are investigated, particularly the problem of determining the minimum time required to drive a linear, constant coefficient dynamic system from an initial ...
  • Thumbnail

    Discretely exact derivatives for hyperbolic PDE-constrained optimization problems discretized by the discontinuous Galerkin method, Draft 

    Wilcox, Lucas C.; Stadler, Georg; Bui-Thanh, Tan; Ghattas, Omar (2013);
    This paper discusses the computation of derivatives for optimization problems governed by linear hyperbolic systems of partial differential equations (PDEs) that are discretized by the discontinuous Galerkin (dG) method. ...
NPS Dudley Knox LibraryDUDLEY KNOX LIBRARY
Feedback

411 Dyer Rd. Bldg. 339
Monterey, CA 93943
circdesk@nps.edu
(831) 656-2947
DSN 756-2947

    Federal Depository Library      


Start Your Research

Research Guides
Academic Writing
Ask a Librarian
Copyright at NPS
Graduate Writing Center
How to Cite
Library Liaisons
Research Tools
Thesis Processing Office

Find & Download

Databases List
Articles, Books & More
NPS Theses
NPS Faculty Publications: Calhoun
Journal Titles
Course Reserves

Use the Library

My Accounts
Request Article or Book
Borrow, Renew, Return
Tech Help
Remote Access
Workshops & Tours

For Faculty & Researchers
For International Students
For Alumni

Print, Copy, Scan, Fax
Rooms & Study Spaces
Floor Map
Computers & Software
Adapters, Lockers & More

Collections

NPS Archive: Calhoun
Restricted Resources
Special Collections & Archives
Federal Depository
Homeland Security Digital Library

About

Hours
Library Staff
About Us
Special Exhibits
Policies
Our Affiliates
Visit Us

NPS-Licensed Resources—Terms & Conditions
Copyright Notice

Naval Postgraduate School

Naval Postgraduate School
1 University Circle, Monterey, CA 93943
Driving Directions | Campus Map

This is an official U.S. Navy Website |  Please read our Privacy Policy Notice  |  FOIA |  Section 508 |  No FEAR Act |  Whistleblower Protection |  Copyright and Accessibility |  Contact Webmaster

Export search results

The export option will allow you to export the current search results of the entered query to a file. Different formats are available for download. To export the items, click on the button corresponding with the preferred download format.

A logged-in user can export up to 15000 items. If you're not logged in, you can export no more than 500 items.

To select a subset of the search results, click "Selective Export" button and make a selection of the items you want to export. The amount of items that can be exported at once is similarly restricted as the full export.

After making a selection, click one of the export format buttons. The amount of items that will be exported is indicated in the bubble next to export format.