• Bertini

  • Referenced in 250 articles [sw06683]
  • Bertini™: Software for Numerical Algebraic Geometry. Software for solving polynomial systems. Finds isolated solutions using ... forward kinematics of Stewart-Gough parallel-link robots. Adaptive multiprecision implemented for finding isolated solutions ... irreducible decomposition. Treats positive-dimensional solutions by computing witness sets. Has automatic differentiation which preserves...
  • Smoothtst

  • Referenced in 6 articles [sw23173]
  • algebraic varieties. The algorithm is inherently parallel and does not involve the calculation of codimension ... have implemented all algorithms in the computer algebra system Singular. We compare the different approaches ... test examples originate from questions in algebraic geometry, where the use of the Jacobian criterion...
  • GANITH

  • Referenced in 9 articles [sw10142]
  • GANITH algebraic geometry toolkit. We are building a general-purpose tool for computing and visualizing ... solutions to systems of algebraic equations. Diverse algorithms exist for this problem and related ... polynomial resultants and birational maps between arbitrary algebraic sets and hypersurfaces. Our designed tool shall ... algebraic and numeric methods, and real solutions. Complex solutions can also be computed, but visualizing...
  • Oasis

  • Referenced in 6 articles [sw16797]
  • large-scale applications in complex geometries on massively parallel clusters. Oasis utilizes MPI and interfaces ... through FEniCS, to the linear algebra backend PETSc. Oasis advocates a high-level, programmable user ... computational speed is strongly dominated by the iterative solvers provided by the linear algebra backend...
  • libtropicon

  • Referenced in 2 articles [sw25573]
  • fundamental problem in computational algebraic geometry. An efficient algorithm for solving this problem will ... higher level algorithms for studying tropical varieties, computing mixed volume, enumerating mixed cells, constructing polyhedral ... naturally parallel and highly scalable, and the implementation directly supports multi-core architectures, computer clusters ... existing ecosystem of software in computational algebraic geometry...
  • IFP-C3D

  • Referenced in 5 articles [sw09125]
  • during the computation enable IFP-C3D to deal with complex moving geometries with large volume ... these Cluster machines. IFP-C3D is parallelized using the Message Passing Interface (MPI) library ... Moreover, IFP-C3D uses an optimized linear algebraic library to solve linear matrix systems ... METIS partitionner library to distribute the computational load equally for all meshes used during...
  • GAIA

  • Referenced in 4 articles [sw03223]
  • CAGD) and classical algebraic geometry to improve intersection algorithms for Computer Aided Design (CAD) types ... exist. However, if the lines are near parallel care has to be taken to implement...
  • GOFMM

  • Referenced in 1 article [sw38979]
  • fast multipole method (FMM) to a purely algebraic setting by only requiring the ability ... geometry-oblivious.” Also, we introduce a shared-memory parallel scheme for hierarchical matrix computations that...
  • MLatom

  • Referenced in 0 articles [sw40218]
  • MLatom is a program package designed for computationally efficient simulations of atomistic systems with machine ... provided input vectors and can convert molecular geometries into input vectors corresponding to several types ... libraries for linear algebra, and is optimized for shared‐memory parallel computations. © 2019 Wiley Periodicals...
  • MAMBO

  • Referenced in 1 article [sw07685]
  • preferences. Parallel to the theoretical presentations, the book includes a series of computer-algebra procedures ... enabling advanced computations for complex multibody mechanism. This package, the MAMBO toolbox, is based ... with MATLAB’s extended symbolic toolbox. The computer-graphics application MAMBO allows the students ... MAMBO is useful to define the specific geometry of the mechanism and the differential equations...
  • FIDAP

  • Referenced in 37 articles [sw00006]
  • FIDAP (A Fluid Dynamics Analysis Program). This paper...
  • ADOL-C

  • Referenced in 249 articles [sw00019]
  • ADOL-C: Automatic Differentiation of C/C++. We present...
  • AMD

  • Referenced in 60 articles [sw00039]
  • Algorithm 837: AMD is a set of routines...
  • ANSYS

  • Referenced in 703 articles [sw00044]
  • ANSYS offers a comprehensive software suite that spans...
  • AXIOM

  • Referenced in 173 articles [sw00063]
  • Axiom is a general purpose Computer Algebra system...
  • BARON

  • Referenced in 354 articles [sw00066]
  • BARON is a computational system for solving nonconvex...
  • CASA

  • Referenced in 105 articles [sw00108]
  • CASA is a special-purpose system for computational...
  • cdd

  • Referenced in 115 articles [sw00114]
  • The program cdd+ (cdd, respectively) is a C...
  • CGAL

  • Referenced in 384 articles [sw00118]
  • The goal of the CGAL Open Source Project...