• REDUCE

  • Referenced in 741 articles [sw00789]
  • controlled simplification of expressions; calculations with symbolic matrices; arbitrary precision integer and real arithmetic; facilities ... functions and extending program syntax; analytic differentiation and integration; factorization of polynomials; facilities...
  • INTLAB

  • Referenced in 439 articles [sw04004]
  • real and complex sparse matrices (very fast) automatic differentiation (forward mode, vectorized computations, fast) Gradients ... sequential approach, slow for many variables) verified integration of (simple) univariate functions univariate and multivariate...
  • Maxima

  • Referenced in 154 articles [sw00560]
  • numerical expressions, including differentiation, integration, Taylor series, Laplace transforms, ordinary differential equations, systems of linear ... equations, polynomials, and sets, lists, vectors, matrices, and tensors. Maxima yields high precision numeric results...
  • hlib

  • Referenced in 70 articles [sw04080]
  • HLib is a library for hierarchical matrices that was written by Lars Grasedyck and Steffen ... treatment of partial differential equations and a number of integral operators as well as support...
  • NSWC

  • Referenced in 11 articles [sw09119]
  • systems of linear equations, banded matrices, sparse matrices, eigenvalues and eigenvectors, l1 solution of linear ... surface fitting, manifold fitting, numerical integration, integral equations, ordinary differential equations, partial differential equations...
  • FLAM

  • Referenced in 3 articles [sw33776]
  • Such matrices commonly arise in physical problems, including many classical integral (IE) and differential equations...
  • MatMOL

  • Referenced in 2 articles [sw15058]
  • methods, implemented using the concept of differentiation matrices, as well as a set of nonlinear ... flux limiters. In addition, several time integrators, including basic explicit methods and some advanced linearly...
  • WIRIS

  • Referenced in 3 articles [sw08332]
  • includes integrals and limits calculation, function graphing in 2D or 3D and symbolic matrices manipulation ... school to university level (Calculus, Algebra, Geometry, Differential Equations...). WIRIS desktop is the local version...
  • HEPMath

  • Referenced in 3 articles [sw20375]
  • Mathematica. Its main features are: Consistent integration of tensors with symbolic indices and index contractions ... along with functions to manipulate (expand, collect, differentiate etc.) such expressions. Arbitrary tensors and index ... such as Dirac spinors, Dirac matrices, Lorentz vectors, colour matrices etc. and their algebraic properties ... matrices in 4 and D dimensions. Simplification of colour structures. Manipulation of loop integrals such...
  • RcppGSL

  • Referenced in 7 articles [sw10617]
  • Rcpp integration for GNU GSL vectors and matrices The GNU Scientific Library ... quasi-random sequences, Monte Carlo integration, N-tuples, differential equations, simulated annealing, numerical differentiation, interpolation...
  • rSQP++

  • Referenced in 5 articles [sw01434]
  • various linear algebra objects such as matrices and linear solvers. The initial development of rSQP ... massively parallel iterative solvers used in partial differential equation-constrained optimization have not yet been ... support parallelism, rSQP++ needs the addition and integration of an abstract vector interface to allow...
  • hex-db

  • Referenced in 1 article [sw17657]
  • level scattering data (partial-wave T-matrices) and accessed by an interface program which ... produce various derived quantities like e.g. differential and integral cross sections. This article...
  • Symbolic Computing

  • Referenced in 1 article [sw09856]
  • differential calculus, elementary functions, equation solving, equations, formula manipulation, Fourier analysis, function analysis, integral calculus ... series, products, sums, trigonometric functions, vectors and matrices. The package has its own interpreter language...
  • Jive

  • Referenced in 2 articles [sw17737]
  • toolkit that is aimed at solving partial differential equations (PDEs). It provides ... building (sparse) matrices; solving systems of equations; evaluating shape functions and integrals; finding objects near...
  • ADC

  • Referenced in 0 articles [sw19712]
  • Software for C/C++ delivers rapid integration of automatic differentiation capability to your new and existing ... automatically exploits the sparsity within your equation matrices, which leads to winning performance for both...
  • ORT1

  • Referenced in 1 article [sw16624]
  • package for the solution of fitting, differentiation and integration problems. Nature of problem: An approach ... used to achieve: (a) optimum condition of matrices involved which allows for high-degree fits...
  • Expression2Kinases

  • Referenced in 1 article [sw34967]
  • expression. By integrating chromatin immuno-precipitation (ChIP)-seq/chip and position weight matrices (PWMs) data, protein ... landscape of 44 stem cells and their differentiating progeny; to profile upstream regulatory mechanisms...
  • Numerical Solutions

  • Referenced in 0 articles [sw06013]
  • graphs, find roots, compute integrals (including multiple integrals), find derivatives (including partial derivatives), find maxima ... wide variety of computations with real matrices, including solution of linear systems of equations (even ... symmetric or general matrices, Ordinary Differential Equations solves linear or nonlinear differential equations and systems ... programs of the Differential Equations collection to find integrals, roots, maxima & minima, derivatives. Even...