
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 objectoriented ... like to assess the capability of reduced order models in their existing FEniCSbased software ... thanks to the availability of several reduced order methods (such as reduced basis and proper...

HOPDM
 Referenced in 73 articles
[sw04342]
 infeasible primaldual 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 firstorder 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 reducedorder models method, based on linked local data bases...

numerov
 Referenced in 29 articles
[sw24970]
 Numerovtype 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]
 Numerovtype 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 coupledcluster 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 fillreducing 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 fillreducing ordering. For sufficiently large problems, the resulting sparse...

MATAD
 Referenced in 44 articles
[sw00550]
 method of integrationbyparts 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 fillreducing ordering (variants of approximate minimum...

Nektar++
 Referenced in 78 articles
[sw11964]
 reduced tracebased communication pattern, which together make the method amenable to the finegrained ... method is wellsuited for GPU implementation, obtaining total speedups on the order...

GFORCE
 Referenced in 21 articles
[sw06607]
 flux reduces identically to that of the Godunov firstorder upwind method. Then we incorporate...

FPC_AS
 Referenced in 63 articles
[sw12218]
 first stage a firstorder 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 gridindependent convergence of multigrid methods. The multilevel algorithms implemented by BILUM ... based on the block independent set ordering and multielimination techniques. At each level ... matrix is then reordered 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 reducedorder models computed by Krylov subspace methods, as is illustrated...