• Macaulay2

• Referenced in 1485 articles [sw00537]
• monomial ordering. The core algorithms are accessible through a versatile high level interpreted user language...

• Taylor

• Referenced in 69 articles [sw10816]
• integration of ODEs by means of high-order Taylor methods. This paper revisits the Taylor...

• WENO

• Referenced in 49 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 41 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 54 articles [sw24183]
• fuzzy rule set, or an expanded high-order one, for a DENFIS offline model...

• Boltzmann

• Referenced in 39 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 52 articles [sw04863]
• also makes it possible to generate high order derivatives by applying the AD-templates...

• MATSLISE

• Referenced in 49 articles [sw00559]
• making use of the power of high-order piecewise constant perturbation methods, a technique described...

• DAETS

• Referenced in 36 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...

• ECHO

• Referenced in 20 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 720 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...

• FIAT

• Referenced in 31 articles [sw00287]
• constrained by the difficulty of evaluating high-order nodal basis functions. While most codes rely...

• SPEED

• Referenced in 31 articles [sw08653]
• regional scale. Based on non-conforming high-order techniques, such as the discontinuous Galerkin spectral...

• PT-Scotch

• Referenced in 46 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 27 articles [sw11527]
• from a to b using high-order global adaptive quadrature and default error tolerances...

• OpenMPI

• Referenced in 75 articles [sw13111]
• from all across the High Performance Computing community in order to build the best...

• Algorithm 840

• Referenced in 22 articles [sw04463]
• prolate spheroidal wave functions -- prolate elements High order domain decomposition methods using a basis...

• htucker

• Referenced in 20 articles [sw09637]
• approximate and represent tensors of possibly high order. This paper presents a Matlab toolbox, along...

• FEMSTER

• Referenced in 20 articles [sw00275]
• forms) and can be used for high-order spatial discretizations of well-known...

• GFORCE

• Referenced in 20 articles [sw06607]
• identically to that of the Godunov first-order upwind method. Then we incorporate GFORCE ... numerical fluxes in the framework of high-order finite volume WENO methods for multi-dimensional...