• INTOPT_90

  • Referenced in 306 articles [sw04705]
  • lists and automatic differentiation. The chapter on preconditioning (32 pages) contains some of the authors ... tighter solution intervals. The chapter about solving nonlinear systems of equations (23 pages) features...
  • ML

  • Referenced in 124 articles [sw08067]
  • homepages for ML, Sandia’s main multigrid preconditioning package. ML is designed to solve large ... with heat and mass transfer, linear and nonlinear elasticity equations, the Maxwell equations, semiconductor equations...
  • tn

  • Referenced in 140 articles [sw05140]
  • terminate the iterations earlier. A preconditioned truncated Newton method is described that defines a search ... interpolates between the direction defined by a nonlinear conjugate-gradient-type method and a modified...
  • NITSOL

  • Referenced in 97 articles [sw00623]
  • truncated Newton) algorithm for solving large-scale nonlinear systems. The framework is an inexact Newton ... great flexibility in addressing problem specificity through preconditioning and other means and allows easy adaptation...
  • XTOR-2F

  • Referenced in 8 articles [sw01030]
  • solution for nonlinear system of equations. After addressing the sensitive issue of preconditioning and time ... implicit methods are compared for the nonlinear simulation of an internal kink mode test case...
  • MOOSE

  • Referenced in 33 articles [sw18084]
  • systems of nonlinear equations. Systems of coupled, nonlinear partial differential equations (PDEs) often arise ... implicitly and fully coupled, employing physics-based preconditioning, which provides great flexibility even with large...
  • Complex Optimization Toolbox

  • Referenced in 30 articles [sw14744]
  • Thuente line search or dogleg trust region, nonlinear least squares: minimization of vector-, matrix ... even a cell array of tensors), preconditioned conjugate gradient, … The Complex Optimization Toolbox is part...
  • CVODE

  • Referenced in 62 articles [sw04947]
  • either choice of formula, the resulting nonlinear system is solved (approximately) at each integration step ... direct (dense and band) solvers and three preconditioned Krylov (iterative) solvers (GMRES, Bi-CGStab...
  • CHEMSODE

  • Referenced in 11 articles [sw00124]
  • computational overhead necessary to solve the nonlinear algebraic system derived from the implicit time-stepping ... avoids much of the usual overhead by preconditioning the implicit method with an iterative technique...
  • KINSOL

  • Referenced in 7 articles [sw04323]
  • KINSOL is a solver for nonlinear algebraic systems based on Newton-Krylov solver technology ... methods, and are implemented with scaling and preconditioning, in modules that are common ... linear systems. In this case the nonlinear iteration is a Modified Newton method. In addition...
  • PREQN

  • Referenced in 9 articles [sw01233]
  • Algorithm 809: PREQN: Fortran 77 subroutines for preconditioning the conjugate gradient method PREQN ... this type arise, for example, in nonlinear optimization. The preconditioners are based on limited-memory ... from a conjugate gradient routine performs the preconditioning operation and stores information needed...
  • CPR-AMG

  • Referenced in 7 articles [sw17621]
  • Typically, this process is modeled by a nonlinear system of partial differential equations derived ... constrained pressure residual multigrid (CPR-AMG) preconditioning, and a new preconditioner derived using an approximate...
  • IP-PCG

  • Referenced in 3 articles [sw04830]
  • software designed to solve large-scale Nonlinear Programming Problems (NLP). It employs a Newton inexact ... Newton equation is solved by the Preconditioned Conjugate Gradient (PCG) method, with a suitable indefinite...
  • BIGFLOW

  • Referenced in 2 articles [sw20311]
  • DATAFLOW). The simulation code solves linear and nonlinear porous media flow equations based on Darcy ... used for linearizing unsaturated flow equations, and preconditioned iterative methods are used for solving...
  • FeatLBE

  • Referenced in 1 article [sw31316]
  • implicit treatment of the LBE leads to nonlinear systems which can be efficiently solved with ... stationary LBE. With special exact preconditioning by the transport part due to the short-characteristic...
  • SAPTIS

  • Referenced in 1 article [sw10870]
  • 2D/3D software SAPTIS is discussed for nonlinear analysis of complex structures. A comparative study ... parallelization techniques are employed: (1) a parallel preconditioned conjugate gradient (PCG) solver based on OpenMP...
  • ADOL-C

  • Referenced in 249 articles [sw00019]
  • ADOL-C: Automatic Differentiation of C/C++. We present...
  • AMD

  • Referenced in 60 articles [sw00039]
  • Algorithm 837: AMD is a set of routines...
  • ANSYS

  • Referenced in 703 articles [sw00044]
  • ANSYS offers a comprehensive software suite that spans...