
Macaulay2
 Referenced in 1658 articles
[sw00537]
 monomial ordering. The core algorithms are accessible through a versatile high level interpreted user language...

Taylor
 Referenced in 86 articles
[sw10816]
 integration of ODEs by means of highorder Taylor methods. This paper revisits the Taylor...

WENO
 Referenced in 51 articles
[sw12694]
 this paper we develop a deterministic high order accurate finitedifference WENO solver ... steadystate devices. The high order accuracy and nonoscillatory properties of the solver allow...

FDL3DI
 Referenced in 44 articles
[sw24948]
 HighOrder Schemes for NavierStokes Equations: Algorithm and Implementation Into FDL3DI. A spectrum ... strategy. For numerical stability, up to tenthorder filtering schemes are developed. The spectral properties ... choose proper filter coefficients. Special highorder formulas are obtained for differentiation and filtering...

DENFIS
 Referenced in 58 articles
[sw24183]
 fuzzy rule set, or an expanded highorder one, for a DENFIS offline model...

Boltzmann
 Referenced in 41 articles
[sw07008]
 High order numerical methods for the space nonhomogeneous Boltzmann equation. In this paper ... transport is solved by a third order accurate (in space) positive and flux conservative ... accuracy in velocity, coupled with several high order integrators in time. Strang splitting is used...

FADBAD++
 Referenced in 54 articles
[sw04863]
 also makes it possible to generate high order derivatives by applying the ADtemplates...

MATSLISE
 Referenced in 51 articles
[sw00559]
 making use of the power of highorder piecewise constant perturbation methods, a technique described...

DAETS
 Referenced in 37 articles
[sw12535]
 that can be of high index, high order, nonlinear, and fully implicit [see part ... suitable for problems that are of too high an index for present DAE solvers. This...

PTScotch
 Referenced in 54 articles
[sw07038]
 efficient parallel graph ordering. The parallel ordering of large graphs is a difficult problem, because ... other hand the obtainment of high quality orderings with the nested dissection algorithm requires efficient...

quadgk
 Referenced in 36 articles
[sw11527]
 from a to b using highorder global adaptive quadrature and default error tolerances...

FIAT
 Referenced in 35 articles
[sw00287]
 constrained by the difficulty of evaluating highorder nodal basis functions. While most codes rely...

ECHO
 Referenced in 21 articles
[sw22269]
 ECHO: a Eulerian conservative highorder scheme for general relativistic magnetohydrodynamics and magnetodynamics. We present ... ECHO, based on an Eulerian Conservative High Order scheme for time dependent threedimensional general ... GRMD schemes yield an overall second order at most. Moreover, our goal is to present ... solver for Einstein’s equations. Various high order reconstruction methods are implemented...

REDUCE
 Referenced in 739 articles
[sw00789]
 many contributors. Its capabilities include: expansion and ordering of polynomials and rational functions; substitutions ... functions; Dirac matrix calculations of interest to high energy physicists...

SPEED
 Referenced in 32 articles
[sw08653]
 regional scale. Based on nonconforming highorder techniques, such as the discontinuous Galerkin spectral...

MFEM
 Referenced in 32 articles
[sw09043]
 including arbitrary highorder H1conforming, discontinuous (L2), H(div)conforming, H(curl)conforming...

OpenMPI
 Referenced in 81 articles
[sw13111]
 from all across the High Performance Computing community in order to build the best...

htucker
 Referenced in 24 articles
[sw09637]
 approximate and represent tensors of possibly high order. This paper presents a Matlab toolbox, along...

Algorithm 840
 Referenced in 24 articles
[sw04463]
 prolate spheroidal wave functions  prolate elements High order domain decomposition methods using a basis...

NOISETTE
 Referenced in 22 articles
[sw12563]
 scale CFD and CAA simulations. Explicit highorder algorithms for unstructured 2D (triangular ... compressible viscous flows and aeroacoustics (DNC, NLDE). High efficiency on thousands of CPUs...