• Chebfun2

  • Referenced in 41 articles [sw12708]
  • singular value decomposition, root finding, and vector calculus...
  • FAUST2

  • Referenced in 14 articles [sw23682]
  • computations and fast manipulations based on vector calculus. The abstract model is formally...
  • MDC-ELLIPSOIDs

  • Referenced in 11 articles [sw22577]
  • normal vector which, by vector calculus, is derived as the gradient of the implicit function ... provide a base of three orthogonal vectors, in which one of them is collinear...
  • PyDEC

  • Referenced in 10 articles [sw06967]
  • Exterior calculus is the generalization of vector calculus to manifolds. PyDEC is a Python library...
  • DIMSYM

  • Referenced in 74 articles [sw04279]
  • allows the user to compute Lie brackets, vector derivatives ... EXCALC so that all the machinery of calculus on manifolds can be utilised from within...
  • GeneralVectorAnalysis

  • Referenced in 4 articles [sw17994]
  • Mathematica. The modern viewpoint for 3D vector calculus, differential forms on 3-manifolds, is adopted ... unify and systematize the vector calculus operations in general coordinate systems. Besides the basic vector...
  • EasyDyn

  • Referenced in 4 articles [sw31067]
  • modules: vec: C++ classes relative to vector calculus (vector, rotation tensor, homogeneous transformation matrix, inertia...
  • StocHy

  • Referenced in 5 articles [sw36937]
  • employs manipulations based on vector calculus, the use of sparse matrices, the symbolic construction...
  • DERIVE

  • Referenced in 65 articles [sw02964]
  • processes algebraic variables, expressions, equations, functions, vectors, matrices and Boolean expressions like a scientific calculator ... fields of arithmetic, algebra, trigonometry, calculus, linear algebra, and propositional calculus can be solved with...
  • EXCALC

  • Referenced in 41 articles [sw06318]
  • familiar with the calculus of Modern Differential Geometry. The program is currently able to handle ... scalar-valued exterior forms, vectors and operations between them, as well as non-scalar valued...
  • VEST

  • Referenced in 2 articles [sw16763]
  • VEST: Abstract vector calculus simplification in Mathematica. We present a new package, VEST (Vector Einstein ... Summation Tools), that performs abstract vector calculus computations in Mathematica. Through the use of index ... able to reduce three-dimensional scalar and vector expressions of a very general type...
  • DiffSharp

  • Referenced in 95 articles [sw16033]
  • systematically invoking the chain rule of calculus at the elementary operator level during program execution ... derivatives, and matrix-free Hessian- and Jacobian-vector products) is applied using higher-order functions...
  • Rice Vector

  • Referenced in 4 articles [sw13923]
  • classes expressing core concepts (vector, function,…) of calculus in Hilbert space with minimal implementation dependence...
  • Rice Vector Library

  • Referenced in 4 articles [sw20169]
  • classes expressing core concepts (vector, function,...) of calculus in Hilbert space with minimal implementation dependence...
  • DifferentialGeometry

  • Referenced in 30 articles [sw07593]
  • transformation groups, jet spaces, and the variational calculus. These capabilities, combined with dramatic recent improvements ... present some advanced applications involving: Killing vector fields and isometry groups, Killing tensors, algebraic classification...
  • VECTOR33

  • Referenced in 1 article [sw01195]
  • VECTOR33: a Reduce program for vector algebra and calculus in orthogonal curvilinear coordinates. This paper ... perform algebra and calculus operations upon vectors. Basic algebraic operations between vectors and between scalars ... product and vector (cross) product. The vector differential operators curl, divergence, gradient and Laplacian ... calculus to be performed using notation identical to that for operations. Scalars and vectors...
  • AlgoPy

  • Referenced in 10 articles [sw16107]
  • numerical linear algebra (NLA) functions, vectorized operations, slicing and broadcasting. AlgoPy provides the means ... univariate Taylor polynomial arithmetic and matrix calculus in the (combined) forward/reverse mode of Algorithmic Differentiation ... contrast to existing AD tools, vectorized operations and NLA functions are not considered...
  • MatrixCalculus

  • Referenced in 1 article [sw38628]
  • online tool that computes vector and matrix derivatives (matrix calculus...
  • Poincare_Series

  • Referenced in 12 articles [sw06953]
  • complex vector space of binary forms of degree d with the canonical action ... uses the MacMahon partition analysis (or Ω-calculus). The author has also developed a special...
  • HELMHOLTZ

  • Referenced in 1 article [sw31544]
  • commands to support research in the variational calculus. These commands include the standard operators ... vector field. We give a brief introduction to the variational calculus. We describe each...