
PITCON
 Referenced in 249 articles
[sw04244]
 code PITCON and simplicial approximation of manifolds are contained. (netlib contin...

SnapPea
 Referenced in 118 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...

Dynamics
 Referenced in 141 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 58 articles
[sw04306]
 used to compute invariant sets, invariant manifolds, invariant measures and almost invariant sets in dynamical...

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...

SnapPy
 Referenced in 46 articles
[sw06874]
 studying the topology and geometry of 3manifolds, with a focus on hyperbolic structures...

Manopt
 Referenced in 28 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 18 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...

RMMEDA
 Referenced in 18 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...

Regina
 Referenced in 17 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...

RTRMC
 Referenced in 17 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 14 articles
[sw00524]
 genus1 twodimensional Riemannian manifold. This manifold can be defined via a parametrization...

xTensor
 Referenced in 12 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...

simpcomp
 Referenced in 17 articles
[sw06898]
 extensive library of known triangulations of manifolds and provides the user with the possibility...

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...

MANPAK
 Referenced in 11 articles
[sw02154]
 algorithms for computations on implicitly defined manifolds. A collection of algorithms is presented for performing...

Optspace
 Referenced in 7 articles
[sw12630]
 Gradient Descent Algorithm on the Grassmann Manifold for Matrix Completion. We consider the problem ... singular value decomposition followed by local manifold optimization, for solving the lowrank matrix completion...

DiFi
 Referenced in 10 articles
[sw14142]
 make any assumptions about connectivity or a manifold representation. We have used our algorithm...