BPCONT: An Auto Driver for the Continuation of Branch Points of Algebraic and Boundary-Value Problems

DOI10.1137/070692546zbMath1173.65073OpenAlexW1971337009MaRDI QIDQ3398254

Fabio Dercole

Publication date: 28 September 2009

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/070692546

zbMATH Keywords

branch pointnumerical examplesboundary-value problemnumerical continuationtranscritical bifurcationsymmetry breakingalgebraic problemautosoftware package \textsc{Auto}

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Computational methods for bifurcation problems in dynamical systems (37M20) Numerical bifurcation problems (65P30) Packaged methods for numerical algorithms (65Y15)

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Uses Software

• LOCBIF

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