Continuation of Newton’s Method Through Bifurcation PointsSource: Journal of Applied Mechanics:;1969:;volume( 036 ):;issue: 003::page 425Author:G. A. Thurston
DOI: 10.1115/1.3564697Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A modification of Newton’s method is suggested that provides a practical means of continuing solutions of nonlinear differential equations through limit points or bifurcation points. The method is applicable when the linear “variational” equations for the problem are self-adjoint. The procedure is illustrated by examples from the field of elastic stability.
keyword(s): Bifurcation , Newton's method , Nonlinear differential equations , Equations AND Stability ,
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| contributor author | G. A. Thurston | |
| date accessioned | 2017-05-09T00:15:43Z | |
| date available | 2017-05-09T00:15:43Z | |
| date copyright | September, 1969 | |
| date issued | 1969 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-25895#425_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/131535 | |
| description abstract | A modification of Newton’s method is suggested that provides a practical means of continuing solutions of nonlinear differential equations through limit points or bifurcation points. The method is applicable when the linear “variational” equations for the problem are self-adjoint. The procedure is illustrated by examples from the field of elastic stability. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Continuation of Newton’s Method Through Bifurcation Points | |
| type | Journal Paper | |
| journal volume | 36 | |
| journal issue | 3 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3564697 | |
| journal fristpage | 425 | |
| journal lastpage | 430 | |
| identifier eissn | 1528-9036 | |
| keywords | Bifurcation | |
| keywords | Newton's method | |
| keywords | Nonlinear differential equations | |
| keywords | Equations AND Stability | |
| tree | Journal of Applied Mechanics:;1969:;volume( 036 ):;issue: 003 | |
| contenttype | Fulltext |