• Mathematica

  • Referenced in 6235 articles [sw00554]
  • engineering textbooks, to developing embedded image-recognition algorithms or teaching calculus. Mathematica is renowned ... only development platform fully integrating computation into complete workflows, moving you seamlessly from initial ideas...
  • Macaulay2

  • Referenced in 1841 articles [sw00537]
  • rings with a monomial ordering. The core algorithms are accessible through a versatile high level ... projective varieties, primary decomposition of ideals, integral closure of rings, and more. Computer algebra system...
  • Simulink

  • Referenced in 799 articles [sw04348]
  • video processing, and image processing. Simulink is integrated with MATLAB®, providing immediate access ... range of tools that let you develop algorithms, analyze and visualize simulations, create batch processing...
  • Cuba

  • Referenced in 66 articles [sw00173]
  • implementations of four general-purpose multidimensional integration algorithms: Vegas, Suave, Divonne, and Cuhre. Suave ... over the original versions. All four algorithms can integrate vector integrands and have very similar...
  • Scikit

  • Referenced in 496 articles [sw08058]
  • module integrating a wide range of state-of-the-art machine learning algorithms for medium...
  • FIRE

  • Referenced in 72 articles [sw10355]
  • Algorithm FIRE-Feynman integral reduction. The recently developed algorithm FIRE performs the reduction of Feynman ... Laporta algorithm, the s-bases algorithm, region-bases and integrating explicitly over loop momenta when...
  • channelflow

  • Referenced in 73 articles [sw07526]
  • Channelflow is a spectral CFD1) algorithm for integrating the Navier-Stokes equations. This engine drives...
  • SGeMS

  • Referenced in 63 articles [sw13298]
  • development platform into which new algorithms can easily be integrated. S-GeMS is indeed built ... which allow new geostatistical algorithms to be integrated, import/export filters to be added, new griding...
  • HarmonicSums

  • Referenced in 55 articles [sw10035]
  • iterated integrals such as harmonic polylogarithms, multiple polylogarithms and cyclotomic polylogarithms in an algorithmic fashion ... iterated integrals at one. In addition the package provides algorithms to represent expressions involving ... nested sums and iterated integrals and it contains an algorithm which rewrites certain types...
  • PETSc

  • Referenced in 1442 articles [sw04012]
  • parallel linear, nonlinear equation solvers and time integrators that may be used in application codes ... power of the PETSc design and the algorithms it incorporates may make the efficient implementation...
  • MEBDF

  • Referenced in 83 articles [sw00567]
  • initial value problems. An efficient algorithm for the numerical integration of large sparse systems ... differential-algebraic equations is described. The algorithm is constructed by embedding a standard sparse linear...
  • MOD-DIST

  • Referenced in 245 articles [sw07504]
  • applied perspective on location models and algorithms -- An intuitive presentation of the uses and limits ... modeling techniques -- An introduction to integrated location-inventory modeling and defender-interdictor models...
  • MENU-OKF

  • Referenced in 245 articles [sw07505]
  • applied perspective on location models and algorithms -- An intuitive presentation of the uses and limits ... modeling techniques -- An introduction to integrated location-inventory modeling and defender-interdictor models...
  • REVE

  • Referenced in 68 articles [sw28907]
  • automatic because termination is fully integrated into the algorithms. REVE uses an incremental termination method...
  • SITATION

  • Referenced in 237 articles [sw07503]
  • applied perspective on location models and algorithms -- An intuitive presentation of the uses and limits ... modeling techniques -- An introduction to integrated location-inventory modeling and defender-interdictor models...
  • CUBPACK

  • Referenced in 30 articles [sw00175]
  • routines is embedded. New features include integration algorithms using the epsilon-algorithm for extrapolation...
  • Algorithm 919

  • Referenced in 58 articles [sw07350]
  • Functions Appearing in Exponential Integrators. We develop an algorithm for computing the solution ... computational burden in the implementation of exponential integrators, which can solve general ODEs. Our approach ... Krylov subspace from growing too large. The algorithm is fully adaptive: it varies both...
  • Reduze

  • Referenced in 79 articles [sw10354]
  • integrals to master integrals employing a variant of Laporta’s reduction algorithm. This web page ... matroid based algorithms allow for the identification of equivalent topologies and integrals. Reduze uses GiNaC...
  • sobol.cc

  • Referenced in 62 articles [sw36024]
  • sequence generator. An algorithm to generate Sobol’ sequences to approximate integrals ... previously given by Bratley and Fox in Algorithm 659. Here, we provide more primitive polynomials ... generation of Sobol’ sequences to approximate integrals in up to 1111 dimensions. The direction numbers...
  • PARAEXP

  • Referenced in 27 articles [sw07168]
  • value problems. A novel parallel algorithm for the integration of linear initial-value problems ... algorithm is based on the simple observation that homogeneous problems can typically be integrated much ... method is used for the fast exponential integration of the homogeneous subproblems. We present ... discuss the parallel scaling of our algorithm. The efficiency of this approach is demonstrated with...