PITCON

Algorithm 596: Methods for solving systems of nonlinear equations. Chapter 7: Parametrized systems of equations. Continuation methods, in particular an ordinary differential equations approach, the code PITCON and simplicial approximation of manifolds are contained. (netlib contin)

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References in zbMATH (referenced in 260 articles , 1 standard article )

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  1. Feng, Xiaobing; Luo, Yan; Vo, Liet; Wang, Zhu: An efficient iterative method for solving parameter-dependent and random convection-diffusion problems (2022)
  2. Andò, Alessia; Breda, Dimitri; Scarabel, Francesca: Numerical continuation and delay equations: a novel approach for complex models of structured populations (2020)
  3. Tian, Xiaochuan; Du, Qiang: Asymptotically compatible schemes for robust discretization of parametrized problems with applications to nonlocal models (2020)
  4. Kelley, C. T.: Numerical methods for nonlinear equations (2018)
  5. Stanić, Andjelka; Brank, Boštjan; Korelc, Jože: On path-following methods for structural failure problems (2016)
  6. Pereyra, Victor; Saunders, Michael; Castillo, Jose: Equispaced Pareto front construction for constrained bi-objective optimization (2013)
  7. Cardone, Angelamaria; Jackiewicz, Zdzislaw; Mittelmann, Hans: Optimization-based search for Nordsieck methods of high order with quadratic stability polynomials (2012)
  8. Kuegler, Philipp: A sparse update method for solving underdetermined systems of nonlinear equations applied to the manipulation of biological signaling pathways (2012)
  9. Wales, C.; Gaitonde, A.; Jones, D.: An initial study of the flow around an aerofoil at high Reynolds numbers using continuation (2012)
  10. Wales, C.; Gaitonde, A. L.; Jones, D. P.; Avitabile, D.; Champneys, A. R.: Numerical continuation of high Reynolds number external flows (2012)
  11. Chen, J.; Qi, L.: Pseudotransient continuation for solving systems of nonsmooth equations with inequality constraints (2010)
  12. Mireles James, J. D.; Lomelí, Hector: Computation of heteroclinic arcs with application to the volume preserving Hénon family (2010)
  13. Mottaqui, H.; Braikat, B.; Damil, N.: Discussion about parameterization in the asymptotic numerical method: application to nonlinear elastic shells (2010)
  14. Sánchez, Juan; Net, Marta: On the multiple shooting continuation of periodic orbits by Newton-Krylov methods (2010)
  15. Woodhouse, Mark J.; Hogg, Andrew J.; Sellar, Alistair A.: Rapid granular flows down inclined planar chutes. I: Steady flows, multiple solutions and existence domains (2010)
  16. Yang, Xiangdong; Wang, Hongbo; Zhang, Chuanqing; Chen, Ken: A method for mapping the boundaries of collision-free reachable workspaces (2010)
  17. Alolyan, Ibraheem: An algorithm for finding all zeros of vector functions (2008)
  18. Chang, S.-L.; Chien, C.-S.; Li, Z.-C.: A finite difference continuation method for computing energy levels of Bose-Einstein condensates (2008)
  19. Chien, C.-S.; Huang, H.-T.; Jeng, B.-W.; Li, Z.-C.: Superconvergence of FEMs and numerical continuation for parameter-dependent problems with folds (2008)
  20. Kouhia, Reijo: Stabilized forms of orthogonal residual and constant incremental work control path following methods (2008)

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