• METIS

  • Referenced in 447 articles [sw04089]
  • finite element meshes, and producing fill reducing orderings for sparse matrices. The algorithms implemented...
  • ParMETIS

  • Referenced in 129 articles [sw04697]
  • graphs, meshes, and for computing fill-reducing orderings of sparse matrices. ParMETIS extends the functionality...
  • MATLAB expm

  • Referenced in 152 articles [sw14349]
  • power of 2 to reduce the norm to order 1, computes a Padé approximant...
  • ARPACK

  • Referenced in 794 articles [sw04218]
  • requires order n rather than the usual order n2 floating point operations. This software ... When the matrix A is symmetric it reduces to a variant of the Lanczos process ... largest magnitude. Storage requirements are on the order of n*k locations. No auxiliary storage...
  • HOPDM

  • Referenced in 73 articles [sw04342]
  • appropriately for a given problem in order to reduce the overall solution time. HOPDM automatically...
  • REDUCE

  • Referenced in 740 articles [sw00789]
  • REDUCE is an interactive system for general algebraic computations of interest to mathematicians, scientists ... many contributors. Its capabilities include: expansion and ordering of polynomials and rational functions; substitutions...
  • SuiteSparseQR

  • Referenced in 29 articles [sw07348]
  • Building Blocks library. The symbolic analysis and ordering phase pre-eliminates singletons by permuting ... given tolerance. Next, the fill-reducing ordering, column elimination tree, and frontal matrix structures ... does not interfere with the fill-reducing ordering. For sufficiently large problems, the resulting sparse...
  • FEAST

  • Referenced in 83 articles [sw04025]
  • right-hand sides and one reduced eigenvalue problem orders of magnitude smaller than the original...
  • RBniCS

  • Referenced in 12 articles [sw33333]
  • implementation in FEniCS of several reduced order modelling techniques (and, in particular, certified reduced basis ... course on reduced basis methods and reduced order modelling, thanks to an object-oriented approach ... like to assess the capability of reduced order models in their existing FEniCS-based software ... thanks to the availability of several reduced order methods (such as reduced basis and proper...
  • numerov

  • Referenced in 29 articles [sw24970]
  • Problem. After dealing with a reduced set of order conditions, we derive an optimal constant ... with a similar kind of method with reduced phase errors. We proceed with numerical tests...
  • SINDy

  • Referenced in 18 articles [sw30277]
  • models also readily generalize to include higher-order nonlinear terms that model the effect ... identified models compare favourably against reduced-order models obtained from a standard Galerkin projection procedure...
  • NEW9p

  • Referenced in 27 articles [sw24971]
  • Problem. After dealing with a reduced set of order conditions, we derive an optimal constant ... with a similar kind of method with reduced phase errors. We proceed with numerical tests...
  • OPTIMAS

  • Referenced in 17 articles [sw07605]
  • genetic algorithms in combination with the reduced-order models method, based on linked local data...
  • REDLOG

  • Referenced in 160 articles [sw04250]
  • package that extends the computer algebra system REDUCE to a computer logic system ... algorithms for the symbolic manipulation of first-order formulas over some temporarily fixed language...
  • KLU

  • Referenced in 15 articles [sw06365]
  • several methods for finding a fill-reducing ordering (variants of approximate minimum degree and nested...
  • MESH

  • Referenced in 22 articles [sw07730]
  • which has been appropriately implemented in order to reduce unnecessary computation and memory usage. Results...
  • Zoltan

  • Referenced in 53 articles [sw07458]
  • communication volume is reduced in several cases by over an order of magnitude...
  • TMATROM

  • Referenced in 8 articles [sw22690]
  • Algorithm 975: TMATROM - A T-Matrix Reduced Order Model Software. The T-matrix (TMAT ... matrix provides an efficient reduced order model (ROM) framework for performing online scattering simulations...
  • MATAD

  • Referenced in 44 articles [sw00550]
  • parts is used in order to obtain recurrence relations which reduce complicated integrals...
  • libROM

  • Referenced in 10 articles [sw34791]
  • compute proper orthogonal decomposition-based reduced order models (POD-based ROMs). It also contains some...