Hyperspherical path tracking methodology as correction step in homotopic continuation methods

An Algorithm for Least-Squares Estimation of Nonlinear Parameters

Donald W. Marquardt · Journal of the Society for Industrial and Applied Mathematics · 1963 · 30.4K citations

Natural Sciences, Computational Engineering, Optimization +11

Natural convection of air in a square cavity: A bench mark numerical solution

G. de Vahl Davis · International Journal for Numerical Methods in Fluids · 1983 · 2.8K citations

Engineering, Computational Engineering, Computational Fluid Dynamics +9

From equilibrium to chaos (practical bifurcation and stability analysis)

W.F. Ames · Mathematics and Computers in Simulation · 1988 · 440 citations

Natural Sciences, Mathematics, Physics +14

A locally parameterized continuation process

Werner C. Rheinboldt, John Burkardt · ACM Transactions on Mathematical Software · 1983 · 229 citations · Full text

Computing, Computer Science, Algorithms +5

Homotopy-continuation method for stability analysis in the global minimization of the Gibbs free energy

Amy Cha-Tien Sun, Warren D. Seider · Fluid Phase Equilibria · 1995 · 170 citations · Full text

Natural Sciences, Physics, Computational Chemistry +16