
SnapPea
 Referenced in 131 articles
[sw06873]
 program for creating and studying hyperbolic 3manifolds. Each noncompact (or cusped) hyperbolic 3manifold ... census is given for all hyperbolic 3manifolds which can be obtained by gluing ... seven ideal tetrahedra. There are 6075 such manifolds, 4815 of them are orientable ... manifolds obained from four or fewer tetrahedra are listed in an appendix to the paper...

PITCON
 Referenced in 251 articles
[sw04244]
 code PITCON and simplicial approximation of manifolds are contained. (netlib contin...

Dynamics
 Referenced in 150 articles
[sw09100]
 diagrams, the search for stable and unstable manifolds, the calculation of dimensions and Lyapunov exponents...

DIMSYM
 Referenced in 71 articles
[sw04279]
 fields or differential forms on finite dimensional manifolds, symmetries of geometric objects (eg, isometries ... that all the machinery of calculus on manifolds can be utilised from within the program...

Edgebreaker
 Referenced in 51 articles
[sw04117]
 Table. It represents the connectivity of any manifold mesh as two tables ... Edgebreaker algorithm has been adapted to manifold meshes with holes and handles, to nontriangle ... meshes, and to nonmanifold meshes. A CornerTable implementation of these will be described...

GAIO
 Referenced in 66 articles
[sw04306]
 used to compute invariant sets, invariant manifolds, invariant measures and almost invariant sets in dynamical...

SnapPy
 Referenced in 61 articles
[sw06874]
 studying the topology and geometry of 3manifolds, with a focus on hyperbolic structures...

MANIFOLD
 Referenced in 29 articles
[sw02900]
 semantics for the controldriven coordination language MANIFOLD Coordination languages are a new class ... called controldriven coordination, is supported by MANIFOLD. We present the formal semantics ... kernel of MANIFOLD, based on a twolevel transition system model: the first level ... behavior of each single component in a MANIFOLD system, whereas the second level captures their...

Manopt
 Referenced in 30 articles
[sw08493]
 Manopt, a Matlab toolbox for optimization on manifolds. Optimization on manifolds is a rapidly developing ... efficient numerical algorithms. In particular, optimization on manifolds is wellsuited to deal with rank...

Snap
 Referenced in 19 articles
[sw20131]
 Snap for 3Manifolds. Snap is a computer program for studying arithmetic invariants of hyperbolic ... manifolds. It is based on Jeff Weeks’ program SnapPea for studying hyperbolic 3manifolds ... compute invariant trace fields and related 3manifold invariants. See the paper, Computing arithmetic invariants ... manifolds by Coulson, Goodman, Hodgson and Neumann, Experimental Mathematics Vol.9 (2000) Issue 1 for more...

Regina
 Referenced in 25 articles
[sw04862]
 software package for studying 3manifold triangulations and normal surfaces. It includes a graphical user ... decomposition. par This paper brings 3manifold topologists uptodate with Regina...

RMMEDA
 Referenced in 20 articles
[sw08554]
 piecewise continuous (m  1)D manifold, where m is the number of objectives. Based ... piecewise continuous manifold. The local principal component analysis algorithm is used for building such...

SG
 Referenced in 26 articles
[sw20599]
 controls of Geomview for displaying polygonal 2manifolds. Figure SG is designed to mimic...

RTRMC
 Referenced in 18 articles
[sw20435]
 completion via preconditioned optimization on the Grassmann manifold. We address the numerical problem of recovering ... unconstrained optimization problem on a single Grassmann manifold. We then apply secondorder Riemannian trust...

Loki
 Referenced in 16 articles
[sw00524]
 genus1 twodimensional Riemannian manifold. This manifold can be defined via a parametrization...

simpcomp
 Referenced in 19 articles
[sw06898]
 extensive library of known triangulations of manifolds and provides the user with the possibility...

xTensor
 Referenced in 13 articles
[sw04984]
 permutations of indices, defined on several different manifolds and products of them. It computes covariant ... presence of a metric in each manifold and defines all the associated tensors (Riemann, Ricci...

DiffMan
 Referenced in 8 articles
[sw01598]
 MATLAB toolbox for solving differential equations on manifolds We describe an objectoriented MATLAB toolbox ... solving differential equations on manifolds. The software reflects recent development within the area of geometric...

rstiefel
 Referenced in 8 articles
[sw11607]
 Random orthonormal matrix generation on the Stiefel manifold. This package simulates random orthonormal matrices from ... quadratic exponential family distributions on the Stiefel manifold. The most general type of distribution covered...

Library of Triangulations
 Referenced in 8 articles
[sw20482]
 Morse functions on concrete triangulations of certain manifolds with a number of vertices ranging between ... consequence is that all 250.359 triangulated 3manifolds with up to 10 vertices admit...