
Ricci
 Referenced in 14 articles
[sw16359]
 Mathematica package for doing symbolic tensor computations that arise in differential geometry...

Maxima
 Referenced in 161 articles
[sw00560]
 system for the manipulation of symbolic and numerical expressions, including differentiation, integration, Taylor series, Laplace ... polynomials, and sets, lists, vectors, matrices, and tensors. Maxima yields high precision numeric results ... data in two and three dimensions. Computer algebra system...

MapleTensor
 Referenced in 4 articles
[sw01158]
 performing indicial and component tensor calculations using symbolic computation...

GRAMA
 Referenced in 1 article
[sw28385]
 Mathematica package for doing symbolic tensor computations and complicated algebraic manipulations in 10dimensional...

BIGEBRA
 Referenced in 19 articles
[sw00078]
 fields through direct calculations using symbolic manipulation and computer algebra system (CAS). We discuss problems ... package for Maple and CLIFFORD to handle tensor products, Graßmann and Clifford algebras, coalgebras...

RTNI
 Referenced in 4 articles
[sw28081]
 RTNI  A symbolic integrator for Haarrandom tensor networks. We provide a computer algebra package ... compute averages of tensor networks containing multiple Haardistributed random unitary matrices and deterministic symbolic...

PackageX
 Referenced in 13 articles
[sw18225]
 dimensions is described. PackageX computes arbitrarily high rank tensor integrals with up to three ... readily evaluated numerically and manipulated symbolically with builtin Mathematica functions. Emphasis is on evaluation ... friendliness. Also included is a routine to compute traces of products of Dirac matrices...

HEPMath
 Referenced in 4 articles
[sw20375]
 Mathematica package which facilitates the implementation of computational algorithms for High Energy Physics in Mathematica ... main features are: Consistent integration of tensors with symbolic indices and index contractions in Mathematica ... expand, collect, differentiate etc.) such expressions. Arbitrary tensors and index types can be defined ... colour matrices etc. and their algebraic properties. Computation of traces over Dirac matrices...

geodesicCOMMENTED.nb
 Referenced in 4 articles
[sw09362]
 obtaining the metric tensor explicitly from the Christoffel symbols. The procedure is extended for determining ... apart from the second derivative term. A computer code has been developed for dealing with...

ccgrg
 Referenced in 1 article
[sw16161]
 only difference that the summation symbol appears explicitly. Tensors are functions, not matrixes, and their ... indispensable to realize the final task are computed. The memoization technique prevents repetitive evaluation...

MCCEFF
 Referenced in 5 articles
[sw06179]
 method and symbolic integral calculation of basic probabilistic moments of the homogenized tensor ... integration of the response functions. The hybrid computational implementation of the system MAPLE with homogenization...

FeynCalcFormLink
 Referenced in 2 articles
[sw28329]
 FORM in Mathematica and FeynCalc. FORM, a symbolic manipulation system, has been widely used ... high performance and fficient design. Mathematica, another computational software program, has also widely been used ... friendliness than for speed. Especially calculations involving tensors and noncommutative operations like calculating Dirac traces...

opensourceGR
 Referenced in 1 article
[sw27185]
 Symbolic and numerical analysis in general relativity with open source computer algebra systems. We study ... three computer algebra systems, namely SageMath (with SageManifolds package), Maxima (with ctensor package) and Python ... language (with GraviPy module), which allow tensor manipulation for general relativity calculations along with general...

TensoriaCalc
 Referenced in 1 article
[sw32179]
 calculates geometric objects  Christoffel symbols, the Riemann curvature tensor, Ricci tensor and scalar, etc.  given ... basic operations such as covariant derivatives of tensors. Development is ongoing, and is expected ... abstract tensor manipulation package similar to xAct, but also allowing for concrete computations such...

GRACE
 Referenced in 3 articles
[sw11987]
 generation, the symbolic calculation at an intermediate level of the Dirac and tensor algebra, implementation ... with existing results on some oneloop computation in the Standard Model show excellent agreement...

ADOLC
 Referenced in 247 articles
[sw00019]
 ADOLC: Automatic Differentiation of C/C++. We present...

ATENSOR
 Referenced in 12 articles
[sw00055]
 ATENSOR  REDUCE program for tensor simplification. Nature of...

ATLAS
 Referenced in 198 articles
[sw00056]
 This paper describes the Automatically Tuned Linear Algebra...

Cadabra
 Referenced in 87 articles
[sw00097]
 Cadabra is a powerful computer program for the...

Canon
 Referenced in 5 articles
[sw00102]
 The Canon package: a fast kernel for tensor...