Mathematical software

Macaulay2
Referenced in 1585 articles [sw00537]
monomial ordering. The core algorithms are accessible through a versatile high level interpreted user language...

Taylor
Referenced in 71 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...

Boltzmann
Referenced in 40 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...

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...

quadgk
Referenced in 34 articles [sw11527]
from a to b using high-order global adaptive quadrature and default error tolerances...

PT-Scotch
Referenced in 50 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...

FIAT
Referenced in 33 articles [sw00287]
constrained by the difficulty of evaluating high-order nodal basis functions. While most codes rely...

REDUCE
Referenced in 738 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 31 articles [sw08653]
regional scale. Based on non-conforming high-order techniques, such as the discontinuous Galerkin spectral...

OpenMPI
Referenced in 79 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 23 articles [sw04463]
prolate spheroidal wave functions -- prolate elements High order domain decomposition methods using a basis...

GFORCE
Referenced in 21 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...

Macaulay2