The Runge-Kutta Method

The Runge-Kutta Method

This paper investigates the Runge-Kutta method of numerically integrating ordinary differential equations. An existence theorem is given insuring a solution to the differential equation, then the theorem is modified to yield an analytic solution. The derivation of the method itself is followed by an...

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Bibliographic Details
Main Author: Powell, Don Ross
Other Authors: Bilyeu, Russell Gene
Format: Others
Language:English
Published: North Texas State College 1961
Subjects:
differential equations
mathematics
Runge-Kutta formulas.
Online Access:https://digital.library.unt.edu/ark:/67531/metadc108136/
id ndltd-unt.edu-info-ark-67531-metadc108136
record_format oai_dc
spelling ndltd-unt.edu-info-ark-67531-metadc1081362017-11-23T05:23:09Z The Runge-Kutta Method Powell, Don Ross differential equations mathematics Runge-Kutta formulas. This paper investigates the Runge-Kutta method of numerically integrating ordinary differential equations. An existence theorem is given insuring a solution to the differential equation, then the theorem is modified to yield an analytic solution. The derivation of the method itself is followed by an analysis of the inherent error. North Texas State College Bilyeu, Russell Gene Parrish, Herbert C. 1961-06 Thesis or Dissertation iii, 31 leaves Text call-no: 379 N81 no.2805 local-cont-no: n_02805 untcat: b2487472 https://digital.library.unt.edu/ark:/67531/metadc108136/ ark: ark:/67531/metadc108136 English Public Copyright Copyright is held by the author, unless otherwise noted. All rights reserved. Powell, Don Ross
collection NDLTD
language English
format Others
sources NDLTD
topic differential equations
mathematics
Runge-Kutta formulas.
spellingShingle differential equations
mathematics
Runge-Kutta formulas.
Powell, Don Ross
The Runge-Kutta Method
description This paper investigates the Runge-Kutta method of numerically integrating ordinary differential equations. An existence theorem is given insuring a solution to the differential equation, then the theorem is modified to yield an analytic solution. The derivation of the method itself is followed by an analysis of the inherent error.
author2 Bilyeu, Russell Gene
author_facet Bilyeu, Russell Gene
Powell, Don Ross
author Powell, Don Ross
author_sort Powell, Don Ross
title The Runge-Kutta Method
title_short The Runge-Kutta Method
title_full The Runge-Kutta Method
title_fullStr The Runge-Kutta Method
title_full_unstemmed The Runge-Kutta Method
title_sort runge-kutta method
publisher North Texas State College
publishDate 1961
url https://digital.library.unt.edu/ark:/67531/metadc108136/
work_keys_str_mv AT powelldonross therungekuttamethod
AT powelldonross rungekuttamethod
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