• ARPACK

  • Referenced in 798 articles [sw04218]
  • requires order n rather than the usual order n2 floating point operations. This software ... Restarted Arnoldi Method (IRAM). When the matrix A is symmetric it reduces to a variant ... largest magnitude. Storage requirements are on the order of n*k locations. No auxiliary storage...
  • MATLAB expm

  • Referenced in 154 articles [sw14349]
  • method scales the matrix by a power of 2 to reduce the norm to order...
  • RBniCS

  • Referenced in 12 articles [sw33333]
  • several reduced order modelling techniques (and, in particular, certified reduced basis method and Proper Orthogonal ... introductory course on reduced basis methods and reduced order modelling, thanks to an object-oriented ... 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...
  • HOPDM

  • Referenced in 73 articles [sw04342]
  • infeasible primal-dual interior point method. It uses multiple centrality correctors; their number is chosen ... order to reduce the overall solution time. HOPDM automatically chooses the most efficient factorization method...
  • 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 ... theory. In contrast to theorem provers, the methods applied know about the underlying algebraic theory...
  • OPTIMAS

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

  • Referenced in 29 articles [sw24970]
  • Numerov-type methods is presented for the solution of some special second order Initial Value ... reduced set of order conditions, we derive an optimal constant coefficients method along with ... similar kind of method with reduced phase errors. We proceed with numerical tests using quadruple...
  • NEW9p

  • Referenced in 27 articles [sw24971]
  • Numerov-type methods is presented for the solution of some special second order Initial Value ... reduced set of order conditions, we derive an optimal constant coefficients method along with ... similar kind of method with reduced phase errors. We proceed with numerical tests using quadruple...
  • MOLPRO

  • Referenced in 22 articles [sw06125]
  • recently developed explicitly correlated coupled-cluster methods yield CCSD(T) results with near basis ... orders of magnitude. Using local electron correlation methods, which significantly reduce the increase...
  • SuiteSparseQR

  • Referenced in 29 articles [sw07348]
  • LAPACK and the multithreaded BLAS enable the method to obtain high performance on multicore architectures ... given tolerance. Next, the fill-reducing ordering, column elimination tree, and frontal matrix structures ... frontal matrix using Heath’s method. While Heath’s method is not always exact ... does not interfere with the fill-reducing ordering. For sufficiently large problems, the resulting sparse...
  • MATAD

  • Referenced in 44 articles [sw00550]
  • method of integration-by-parts is used in order to obtain recurrence relations which reduce...
  • VODE

  • Referenced in 194 articles [sw01005]
  • algorithms for initial stepsize and stepsize and order change are used. Moreover, in the stiff ... implicit equations by quasi Newton methods. In this paper the authors consider also the fixed ... coefficient version of the backward differentiation formula methods for stiff systems. They find that ... found that the run time is reduced by an amount between 40 and 60 percent...
  • KLU

  • Referenced in 15 articles [sw06365]
  • Triangular Form (BTF), several methods for finding a fill-reducing ordering (variants of approximate minimum...
  • Nektar++

  • Referenced in 78 articles [sw11964]
  • reduced trace-based communication pattern, which together make the method amenable to the fine-grained ... method is well-suited for GPU implementation, obtaining total speedups on the order...
  • GFORCE

  • Referenced in 21 articles [sw06607]
  • flux reduces identically to that of the Godunov first-order upwind method. Then we incorporate...
  • FPC_AS

  • Referenced in 63 articles [sw12218]
  • first stage a first-order iterative “shrinkage” method yields an estimate of the subset ... fixing their signs at their current values reduces the ℓ 1 -norm...
  • BILUM

  • Referenced in 50 articles [sw04015]
  • those of grid-independent convergence of multigrid methods. The multi-level algorithms implemented by BILUM ... based on the block independent set ordering and multi-elimination techniques. At each level ... matrix is then re-ordered according to the independent set ordering and an approximate block ... approximate Schur complement (the reduced system) until the last reduced system is small enough...
  • PUMA

  • Referenced in 31 articles [sw22571]
  • method (PUM). Compared to classical finite element methods (FEM), a PUM can directly utilize user ... functions in order improve the approximation properties of the model and to reduce the computational ... Schweitzer. A Parallel Multilevel Partition of Unity Method for Elliptic Partial Differential Equations, Volume...
  • MESH

  • Referenced in 23 articles [sw07730]
  • Hausdorff distance. This paper proposes an efficient method to estimate the distance between discrete ... which has been appropriately implemented in order to reduce unnecessary computation and memory usage. Results...
  • QDPA

  • Referenced in 7 articles [sw12759]
  • also to improve reduced-order models computed by Krylov subspace methods, as is illustrated...