Numerical Mathematics - NewtonLib. Software repository for Peter Deuflhards Book ”Newton Methods for Nonlinear Problems -- Affine Invariance and Adaptive Algorithms”. This monograph presents a scheme to construct adaptive Newton-type algorithms in close connection with an associated affine invariant convergence analysis. Part of these algorithms are presented as informal programs in the text. Some, but not all of the described algorithms have been worked out in detail. Below follows a list of codes mentioned by name in the book. All of the available programs (not only by the author and his group) are free as long as they are exclusively used for research or teaching purposes. For commercial use of the software you must sign a license-agreement with the ZIB and pay a license-charge that depends on the referenced software package and the intended usage. Please read our sample license agreement (or the german version) for more details.

References in zbMATH (referenced in 285 articles , 2 standard articles )

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  1. Cătinaş, Emil: How many steps still left to (x)? (2021)
  2. Hanke, Michael; März, Roswitha: Convergence analysis of least-squares collocation methods for nonlinear higher-index differential-algebraic equations (2021)
  3. Hoppe, Ronald H. W.; Pahari, Basanta R.; Winkle, James J.: Numerical simulation of the formation of spherulites in polycrystalline binary mixtures (2021)
  4. Kulchytska-Ruchka, Iryna; Schöps, Sebastian: Efficient parallel-in-time solution of time-periodic problems using a multiharmonic coarse grid correction (2021)
  5. Lemoine, Jérôme; Marín-Gayte, Irene; Münch, Arnaud: Approximation of null controls for semilinear heat equations using a least-squares approach (2021)
  6. Lemoine, Jérôme; Münch, Arnaud: Resolution of the implicit Euler scheme for the Navier-Stokes equation through a least-squares method (2021)
  7. Liu, Lulu; Keyes, David E.: Approximate error bounds on solutions of nonlinearly preconditioned PDEs (2021)
  8. Luo, Xin-long; Xiao, Hang: Generalized continuation Newton methods and the trust-region updating strategy for the underdetermined system (2021)
  9. Naceur, Nahed; Alaa, Nour Eddine; Khenissi, Moez; Roche, Jean R.: Theoretical and numerical analysis of a class of quasilinear elliptic equations (2021)
  10. Shamanskiy, Alexander; Simeon, Bernd: Mesh moving techniques in fluid-structure interaction: robustness, accumulated distortion and computational efficiency (2021)
  11. Altmann, Robert; Froidevaux, Marine: PDE eigenvalue iterations with applications in two-dimensional photonic crystals (2020)
  12. Argyros, Ioannis K.; Magreñán, Á. Alberto; Moreno, Daniel; Orcos, Lara; Sicilia, Juan Antonio: Weaker conditions for inexact mutitpoint Newton-like methods (2020)
  13. Bock, Hans Georg; Gutekunst, Jürgen; Potschka, Andreas; Garcés, María Elena Suaréz: A flow perspective on nonlinear least-squares problems (2020)
  14. Chen, Xiaotong; Song, Xiaoliang; Chen, Zixuan; Yu, Bo: A multi-level ADMM algorithm for elliptic PDE-constrained optimization problems (2020)
  15. Dai, Yu-Hong; Jarre, Florian; Lieder, Felix: On the existence of affine invariant descent directions (2020)
  16. Guo, Guangbao; Sun, Yue; Jiang, Xuejun: A partitioned quasi-likelihood for distributed statistical inference (2020)
  17. Hamon, François P.; Mallison, Bradley T.: Fully implicit multidimensional hybrid upwind scheme for coupled flow and transport (2020)
  18. Hao, Wenrui; Zheng, Chunyue: An adaptive homotopy method for computing bifurcations of nonlinear parametric systems (2020)
  19. Hashim, Nur A.; Coombs, W. M.; Augarde, C. E.; Hattori, G.: An implicit non-ordinary state-based peridynamics with stabilised correspondence material model for finite deformation analysis (2020)
  20. Kopaničáková, Alena; Krause, Rolf: A recursive multilevel trust region method with application to fully monolithic phase-field models of brittle fracture (2020)

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