A new iterative numerical continuation technique for approximating the solutions of scalar nonlinear equations

DOI10.1155/2017/2783682zbMath1413.65180OpenAlexW2576261777WikidataQ59144368 ScholiaQ59144368MaRDI QIDQ1653539

Grégory Antoni

Publication date: 6 August 2018

Published in: International Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2017/2783682

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Cites Work

• Some computational aspects of the stability analysis of nonlinear structures
• An incremental approach to the solution of snapping and buckling problems
• A comparison of three algorithms for tracing nonlinear equilibrium paths of structural systems
• A new accurate and efficient iterative numerical method for solving the scalar and vector nonlinear equations: approach based on geometric considerations
• An efficient and straightforward numerical technique coupled to classical Newton's method for enhancing the accuracy of approximate solutions associated with scalar nonlinear equations
• Discrete approximations related to nonlinear theories of solids
• An arc-length method including line searches and accelerations
• A fast incremental/iterative solution procedure that handles “snap-through”
• Solving Nonlinear Equations with Newton's Method
• The Application of Newton’s Method to the Problem of Elastic Stability
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