• HSL_MI20

  • Referenced in 58 articles [sw07246]
  • obtained from the discretization of second-order scalar elliptic self-adjoint partial differential equations ... used as a preconditioner for Krylov subspace methods. In this communication, we report ... examples arising in the unstructured finite element discretization of the diffusion, the convection-diffusion...
  • Adjoint

  • Referenced in 11 articles [sw08877]
  • Discrete Adjoint Solvers. An automatic differentiation tool is used to develop the adjoint code ... total derivatives using an adjoint method. The resulting linear discrete adjoint system is then solved ... central idea behind the automatic differentiation adjoint (ADjoint) approach. This approach has the advantage that ... lengthy development times usually required to develop adjoint solvers for partial differential equations. These significant...
  • DAFoam

  • Referenced in 3 articles [sw41098]
  • variables. Despite this advantage, implementing the adjoint method for a partial-differential-equation-based primal ... proposed to rapidly implement the discrete adjoint method for any steady-state OpenFOAM primal solver...
  • KPP

  • Referenced in 11 articles [sw10179]
  • Forward, tangent linear, and adjoint Runge-Kutta methods in KPP-2.2. This paper presents ... Hessian. A set of integration methods was added to the comprehensive suite of stiff numerical ... well as the continuous and discrete adjoint models of the chemical system to do sensitivity...
  • TRICE

  • Referenced in 46 articles [sw05197]
  • Such nonlinear programs arise, e.g., from the discretization of optimal control problems. The algorithms treat ... linearized state equation and the adjoint equation. They are well suited for large scale problems ... bound constraints by using an affine scaling method proposed, for a different class of problems...
  • elsA

  • Referenced in 45 articles [sw07602]
  • Hierarchical Mesh Refinement and Chimera techniques. The discrete equations are integrated either by multistage Runge ... accurate computations, the implicit dual time stepping method or the Gear integration scheme are employed ... gradients by linearized equation or by adjoint solver techniques is very useful for aerodynamic optimization...
  • gNUFFTW

  • Referenced in 1 article [sw31003]
  • discrete Fourier transform (NUDFT) and its adjoint operation. Non-Uniform Fast Fourier Transform (NUFFT) methods...
  • TWOTRAN

  • Referenced in 2 articles [sw31911]
  • TWOTRAN is designed to solve the multigroup discrete ordinates approximation to the two- dimensional Boltzmann ... methods by using the major parts of TWOTRAN. Both direct and adjoint, homogeneous (keff...
  • ADOL-C

  • Referenced in 257 articles [sw00019]
  • ADOL-C: Automatic Differentiation of C/C++. We present...
  • ANSYS

  • Referenced in 713 articles [sw00044]
  • ANSYS offers a comprehensive software suite that spans...
  • BoomerAMG

  • Referenced in 200 articles [sw00086]
  • BoomerAMG: A parallel algebraic multigrid solver and preconditioner...
  • CGAL

  • Referenced in 402 articles [sw00118]
  • The goal of the CGAL Open Source Project...
  • CoCoA

  • Referenced in 659 articles [sw00143]
  • CoCoA is a system for Computations in Commutative...
  • COLAMD

  • Referenced in 33 articles [sw00145]
  • Two codes are discussed, COLAMD and SYMAMD, that...
  • C-XSC 2.0

  • Referenced in 127 articles [sw00182]
  • A C++ class library for extended scientific computing...
  • Diffpack

  • Referenced in 115 articles [sw00203]
  • As modern programming methodologies migrate from computer science...
  • EDGE

  • Referenced in 25 articles [sw00228]
  • Edge is a CFD flow solver for unstructured...
  • Expokit

  • Referenced in 200 articles [sw00258]
  • Expokit provides a set of routines aimed at...
  • FEMLAB

  • Referenced in 57 articles [sw00274]
  • COMSOL Multiphysics, vormals FEMLAB, ist eine Software zur...
  • GAP

  • Referenced in 3221 articles [sw00320]
  • GAP is a system for computational discrete algebra...