Tracking nonlinear equilibrium paths by a homotopy method

DOI10.1016/0362-546X(83)90058-5zbMath0538.65029OpenAlexW2075904090MaRDI QIDQ3324934

Siegfried M. Holzer, Mark C. Hansen, Layne T. Watson

Publication date: 1983

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(83)90058-5

zbMATH Keywords

numerical examplepredictorNewton's methodequilibrium pathscorrectorChow-Yorke algorithmAdam's methodhomotopy continuation algorithmDavidenko equation

Mathematics Subject Classification ID

Related Items (10)

Unnamed Item ⋮ Tracing structural optima as a function of available resources by a homotopy method ⋮ A homotopy method of finding periodic solutions for ordinary differential equations from the upper and lower solutions ⋮ Engineering applications of the Chow-Yorke algorithm ⋮ Exploring collision-free path planning by using homotopy continuation methods ⋮ Modified homotopy methods to solve fixed points of self-mapping in a broader class of nonconvex sets ⋮ Finding periodic solutions of ordinary differential equations via homotopy method ⋮ Finding periodic solutions of ordinary differential equations via homotopy method ⋮ Globally convergent homotopy methods: A tutorial ⋮ Solving nonlinear programming problems via a homotopy continuation method under three unbounded conditions

Cites Work

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