• 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 high-order Taylor methods. This paper revisits the Taylor...
  • WENO

  • Referenced in 51 articles [sw12694]
  • this paper we develop a deterministic high order accurate finite-difference WENO solver ... steady-state devices. The high order accuracy and nonoscillatory properties of the solver allow...
  • FDL3DI

  • Referenced in 44 articles [sw24948]
  • High-Order Schemes for Navier-Stokes Equations: Algorithm and Implementation Into FDL3DI. A spectrum ... strategy. For numerical stability, up to tenth-order filtering schemes are developed. The spectral properties ... choose proper filter coefficients. Special high-order formulas are obtained for differentiation and filtering...
  • DENFIS

  • Referenced in 58 articles [sw24183]
  • fuzzy rule set, or an expanded high-order one, for a DENFIS offline model...
  • Boltzmann

  • Referenced in 41 articles [sw07008]
  • High order numerical methods for the space non-homogeneous 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 AD-templates...
  • MATSLISE

  • Referenced in 51 articles [sw00559]
  • making use of the power of high-order 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...
  • PT-Scotch

  • 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 high-order global adaptive quadrature and default error tolerances...
  • FIAT

  • Referenced in 35 articles [sw00287]
  • constrained by the difficulty of evaluating high-order nodal basis functions. While most codes rely...
  • ECHO

  • Referenced in 21 articles [sw22269]
  • ECHO: a Eulerian conservative high-order scheme for general relativistic magnetohydrodynamics and magnetodynamics. We present ... ECHO, based on an Eulerian Conservative High Order scheme for time dependent three-dimensional 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 non-conforming high-order techniques, such as the discontinuous Galerkin spectral...
  • MFEM

  • Referenced in 32 articles [sw09043]
  • including arbitrary high-order H1-conforming, 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 high-order algorithms for unstructured 2D (triangular ... compressible viscous flows and aeroacoustics (DNC, NLDE). High efficiency on thousands of CPUs...