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A restricted Runge-Kutta method
| dc.contributor.advisor | Luther, H. A. | |
| dc.creator | Landry, Gordon Joseph | |
| dc.date.accessioned | 2020-08-20T19:43:16Z | |
| dc.date.available | 2020-08-20T19:43:16Z | |
| dc.date.issued | 1969 | |
| dc.identifier.uri | https://hdl.handle.net/1969.1/DISSERTATIONS-174691 | |
| dc.description.abstract | Consider the differential system dy[subscript r]/dx = f[subscript r](x, y₁, y₂, ..., y[subscript m]), y[subscript r](x₀) = r[subscript r0] (r = 1, 2, ..., m). The Runge-Kutte method applies to all functions f[subscript r](x, y₁, y₂, ..., y[subscript m]), of suitable differentiability. By restricting the class of functions to g[subscript r](x) + r[subscript r1]y₁ + ... + c[subscript rm]y[subscript m] where g[subscript r](x) are arbitrary functions of x and c[subscript rj] arbitrary constants, the nth order of this restricted Runge-Kutte method for the explicit case can be defined as [y bar][subscript r1] = y[subscript r0] + [sigma q i=1] R[subscript i]k[subscript ri]. ... | en |
| dc.format.extent | 106 leaves | en |
| dc.format.medium | electronic | en |
| dc.format.mimetype | application/pdf | |
| dc.rights | This thesis was part of a retrospective digitization project authorized by the Texas A&M University Libraries. Copyright remains vested with the author(s). It is the user's responsibility to secure permission from the copyright holder(s) for re-use of the work beyond the provision of Fair Use. | en |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | |
| dc.subject | Major mathematics | en |
| dc.title | A restricted Runge-Kutta method | en |
| dc.type | Thesis | en |
| thesis.degree.discipline | Mathematics | en |
| thesis.degree.grantor | Texas A&M University | en |
| thesis.degree.name | Doctor of Philosophy | en |
| thesis.degree.name | Ph. D. in Mathematics | en |
| thesis.degree.level | Doctoral | en |
| thesis.degree.level | Doctorial | en |
| dc.contributor.committeeMember | Barker, Donald G. | |
| dc.contributor.committeeMember | Drew, Dan D. | |
| dc.contributor.committeeMember | Klipple, E. C. | |
| dc.contributor.committeeMember | McIntyre, John A. | |
| dc.contributor.committeeMember | Moore, Bill C. | |
| dc.type.genre | dissertations | en |
| dc.type.material | text | en |
| dc.format.digitalOrigin | reformatted digital | en |
| dc.publisher.digital | Texas A&M University. Libraries | |
| dc.identifier.oclc | 5717309 |
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