The Runge-Kutta equations by quadrature methods / by Joseph S. Rosen.
This report gives a basically new approach to the formulation of the classic Runge-Kutta process. Dependence on the tedious Taylor expansions is obviated by a matrix equation which defines the Runge-Kutta equations for any order; furthermore, the elements of these matrices are obtained quite simply....
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| Main Author: | |
|---|---|
| Corporate Authors: | , |
| Format: | Government Document Book |
| Language: | English |
| Published: |
Washington, D.C. :
National Aeronautics and Space Administration,
1967.
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| Series: | NASA technical report ;
R-275. |
| Subjects: |
MARC
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| 100 | 1 | |a Rosen, Joseph S. |0 http://id.loc.gov/authorities/names/no2008161372. | |
| 245 | 1 | 4 | |a The Runge-Kutta equations by quadrature methods / |c by Joseph S. Rosen. |
| 260 | |a Washington, D.C. : |b National Aeronautics and Space Administration, |c 1967. | ||
| 300 | |a iii, 13 pages ; |c 28 cm. | ||
| 336 | |a text |b txt |2 rdacontent. | ||
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| 490 | 1 | |a NASA technical report ; |v R-275. | |
| 504 | |a Includes bibliographical references (page 13) | ||
| 520 | |a This report gives a basically new approach to the formulation of the classic Runge-Kutta process. Dependence on the tedious Taylor expansions is obviated by a matrix equation which defines the Runge-Kutta equations for any order; furthermore, the elements of these matrices are obtained quite simply. The method of quadratures is used to determine the conditions on the parameters which characterize the process since these parameters determine the order of accuracy of these functions. | ||
| 650 | 0 | |a Runge-Kutta formulas. |0 http://id.loc.gov/authorities/subjects/sh85115854. | |
| 650 | 7 | |a Runge-Kutta formulas. |2 fast |0 (OCoLC)fst01101336. | |
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| 710 | 2 | |a George C. Marshall Space Flight Center. |0 http://id.loc.gov/authorities/names/n79105937 |1 http://isni.org/isni/0000000122384912. | |
| 776 | 0 | 8 | |i Online version: |a Rosen, Joseph S. |t Runge-Kutta equations by quadrature methods. |d Washington, D.C. : National Aeronautics and Space Administration, 1967 |w (OCoLC)890701732. |
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