• # MixedVol

• Referenced in 29 articles [sw00581]
• software package that computes the mixed volume of n finite subsets of ℤn ... polynomials in n variables. The software produces the mixed volume as well as the mixed ... mixed cells are crucial for solving polynomial systems by the polyhedral homotopy continuation method ... software leads existing codes for mixed-volume computation in speed by a substantial margin...
• # HOM4PS

• Referenced in 83 articles [sw00410]
• polyhedral homotopy continuation method for solving polynomial systems. It updates its original version HOM4PS ... York, NY: Springer. The IMA Volumes in Mathematics and its Applications...
• # Axl

• Referenced in 4 articles [sw25792]
• cones, ellipsoids, torus, piecewise polynomial parameterisations of curves, surfaces or volumes such as b-spline ... algebraic curves and surfaces defined by polynomial equations. Moreover, Axl provides algorithms for processing these...
• # Vinci

• Referenced in 4 articles [sw21789]
• central properties of a convex body, and volume computation is involved in many hard problems ... common roots of polynomials can be related to a special polytope volume. Part...
• # LPH

• Referenced in 3 articles [sw26522]
• isolated solutions to a special class of polynomial systems. The root number bound of this ... total degree bound and the mixed volume bound and can be easily computed...
• # phcpy

• Referenced in 9 articles [sw15539]
• main executable phc (polynomial homotopy continuation) defined by the source code in PHCpack ... tasks such as path tracking and mixed volume computations are executed as compiled code...
• # PHCpack

• Referenced in 3 articles [sw12154]
• interface to PHCpack, a general-purpose polynomial system solver that uses homotopy continuation. The main ... package also provides a fast mixed volume computation, the ability to filter solutions, homotopy path ... those working on problems involving large polynomial systems...
• # Algorithm 967

• Referenced in 6 articles [sw23693]
• volume potentials, one replaces the sums with volume integrals. Particle $N$-body methods ... high-order piecewise Chebyshev polynomials and an octree data structure to represent the input...
• # CAE Fidesys

• Referenced in 12 articles [sw32799]
• obtained stress field is averaged by volume after the solution of an elastic boundary-value ... finite element method version. High order piecewice-polynomial functions are reference functions in SEM. There...
• # AsturFit

• Referenced in 2 articles [sw36394]
• robust treatment of the static energy versus volume theoretical curve in the new version ... average of strain polynomials is used to determine, as precisely as the input data allow...
• # Gibbs2

• Referenced in 2 articles [sw08904]
• robust treatment of the static energy versus volume theoretical curve in the new version ... average of strain polynomials is used to determine, as precisely as the input data allow...
• # Peacemaker

• Referenced in 1 article [sw07126]
• consecutive iterations to obtain both natural variables (volume and particle number) is presented, as well ... describe the implemented method to solve the polynomials arising in each iteration. Additionally, we deal...
• # Ial.m

• Referenced in 5 articles [sw09626]
• regular part of the integrand is a polynomial of total degree d, the formulae ... application to aerodynamics”,Numerical Algorithms,Oct 2012, Volume...
• # SessileDropAnalysis

• Referenced in 1 article [sw38577]
• images) and finds the contact angle, drop volume and the contact line speed. The script ... edge is fitted with a 3rd order polynomial fit, and the slope of the baseline ... contact angles. Note that the drop volume assume cylindrical symmetry and if there...
• # FLUSEPA

• Referenced in 1 article [sw20791]
• Godunov’s type unstructured finite volume method suitable for highly compressible turbulent scale-resolving simulations ... correcting the truncation error of the piecewise polynomial representation of the primitive variables. The keystone...
• # HLL-2D

• Referenced in 1 article [sw07510]
• like procedure in a “cell-vertex” finite-volume framework. par In the first part ... MUSCL procedure, we develop a polynomial reconstruction that uses all the surrounding numerical data...