• ODEPACK

  • Referenced in 128 articles [sw08341]
  • arise. Two others use iterative (preconditioned Krylov) methods instead of direct methods for these linear...
  • NITSOL

  • Referenced in 71 articles [sw00623]
  • obtained using one of several Krylov subspace methods. The algorithm is implemented in a Fortran...
  • Expokit

  • Referenced in 101 articles [sw00258]
  • routines consists of matrix-free Krylov subspace projection methods (Arnoldi and Lanczos processes), and that...
  • QMRPACK

  • Referenced in 71 articles [sw00754]
  • minimal residual (QMR) algorithm is a Krylov-subspace method for the iterative solution of large...
  • CVODE

  • Referenced in 32 articles [sw04947]
  • CVODE are variable-order, variable-step multistep methods. For nonstiff problems, CVODE includes the Adams ... date). When using a Krylov method as the linear solver, the iteration is an Inexact ... dense and band) solvers and three preconditioned Krylov (iterative) solvers (GMRES, Bi-CGStab, and TFQMR...
  • BILUM

  • Referenced in 47 articles [sw04015]
  • general sparse linear systems by using Krylov subspace methods preconditioned by some multi-level block...
  • HSL_MI20

  • Referenced in 32 articles [sw07246]
  • most effective iterative methods for the solution of large, sparse linear systems obtained from ... used as a preconditioner for Krylov subspace methods. In this communication, we report ... enhance the performance of an AMG-preconditioned Krylov solver. This is illustrated using a number...
  • CMRH

  • Referenced in 15 articles [sw02194]
  • minimal residual (QMR) method are two Krylov methods for solving linear systems. The main difference ... basis vectors for the Krylov subspace. The GMRES method uses the Arnoldi process while ... Krylov subspace. In this paper we give a new method similar to QMR but based...
  • FGMRES

  • Referenced in 18 articles [sw04415]
  • well-known bottleneck of efficiency for Krylov methods. Furthermore, either implicit or explicit calculation...
  • GMRES

  • Referenced in 14 articles [sw00365]
  • known bottleneck of efficiency for the Krylov methods. Either implicit or explicit calculation...
  • KINSOL

  • Referenced in 7 articles [sw04323]
  • nonlinear algebraic systems based on Newton-Krylov solver technology. It is newly rewritten ... Saad. KINSOL employs the Inexact Newton method. As this solver is intended mainly ... CGStab, and TFQMR. These are Krylov methods, and are implemented with scaling and preconditioning ... method. In addition to the basic Krylov method modules, the KINSOL package includes a module...
  • ROWMAP

  • Referenced in 40 articles [sw09627]
  • large stiff ODEs. We present a Krylov-W-code ROWMAP for the integration of stiff ... methods of the code ROS4 of Hairer and Wanner and uses Krylov techniques...
  • DGMRES

  • Referenced in 11 articles [sw02839]
  • Linear Algebra Appl. 298 (1999) 99] Krylov subspace methods were derived for Drazin-inverse solution...
  • XTOR-2F

  • Referenced in 4 articles [sw01030]
  • stepping is handled by a semi-implicit method. Moderate changes were necessary to transform ... using the NITSOL library with Newton-Krylov methods of solution for nonlinear system of equations ... that on one hand the Newton-Krylov implicit method, when applied to basic one fluid ... beyond MHD. By testing the Newton-Krylov method with diamagnetic modifications on the dynamics...
  • Krylstat

  • Referenced in 6 articles [sw13558]
  • Gaussian distributions using rational approximations and Krylov methods and computing log-determinants using the same...
  • DENOVO

  • Referenced in 3 articles [sw18081]
  • that uses state-of-the-art solution methods to obtain accurate solutions to the Boltzmann ... source iteration, Denovo uses nonstationary Krylov methods to solve the within-group equations. Krylov methods ... when used as a preconditioner to a Krylov solver. Denovo’s generic programming framework allows...
  • AFMPB

  • Referenced in 5 articles [sw08875]
  • fast multipole method with the Krylov subspace methods, which are applied to solve a well...
  • GCROT

  • Referenced in 7 articles [sw08876]
  • efficient compared with several popular truncated Krylov subspace methods. Finally, a flexible version of LGMRES...
  • CartaBlanca

  • Referenced in 5 articles [sw01546]
  • centers on the Jacobian-free Newton-Krylov solution method surrounding a finite-volume treatment ... Jacobian-free Newton-Krylov nonlinear system solution method and discuss how it fits into...
  • PARAEXP

  • Referenced in 4 articles [sw07168]
  • homogeneous subproblems, and a near-optimal Krylov method is used for the fast exponential integration...