Higher Order Predictors and Adaptive Steplength Control in Path Following Algorithms
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Publication:3782676
DOI10.1137/0724089zbMath0641.65048OpenAlexW1969349631MaRDI QIDQ3782676
Jürgen Cleve, Hubert Schwetlick
Publication date: 1987
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0724089
Newton's methodNumerical experimentspath following methodshomotopy methodsEuler predictoradaptive step length controlhigher order predictorspredictor- corrector typeunder-determined nonlinear system
Related Items (16)
Design and evaluation of homotopies for efficient and robust continuation ⋮ Efficient numerical differentiation of implicitly-defined curves for sparse systems ⋮ Monolithic homotopy continuation with predictor based on higher derivatives ⋮ Updated projections in continuation methods ⋮ Numerical differentiation of implicitly defined space curves ⋮ Spectral collocation methods using sine functions for a rotating Bose-Einstein condensation in optical lattices ⋮ Polyhedral homotopies in Cox coordinates ⋮ Robust continuation methods for tracing solution curves of parameterized systems ⋮ A Robust Numerical Path Tracking Algorithm for Polynomial Homotopy Continuation ⋮ Conjugate gradient methods for continuation problems ⋮ Mixed precision path tracking for polynomial homotopy continuation ⋮ Two-stage continuation algorithms for Bloch waves of Bose-Einstein condensates in optical lattices ⋮ Tracing the buckling of a rectangular plate with the block GMRES method ⋮ High-order polynomial continuation method for trajectory design in non-Keplerian environments ⋮ Bifurcations in parametric nonlinear programming ⋮ Locating the closest singularity in a polynomial homotopy
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