logo IMB

Arithmetic Algorithmic

  • Arb: Library for rigorous real and complex arithmetic with arbitrary precision
  • Calcium: C library for exact computation with real and complex numbers
  • Cm: Construction of class fields of quadratic orders and elliptic curves with complex multiplication via floating-point approximations
  • Cmh: Calculation of theta-constants at arbitrary precision and calculation of class polynomials
  • Gnu Mpc: Library for the arithmetic of complex numbers with arbitrary precision and correct rounding of the result
  • Mpfrcx: Library for the arithmetic of univariate real (MPFR) or complex (MPC) polynomials in arbitrary precision, without rounding control
  • PARI/GP: Widely used computer algebra system designed for fast calculations in number theory (factorizations, algebraic number theory, elliptic curves, modular forms…)

Scientific Computing and Modeling

  • AeroSol: High-order finite element library, continuous and discontinuous, for hybrid curvilinear meshes
  • CEPS: Numerical simulations of cardiac electrophysiology featuring a simulation engine specific to cardiology
  • Mmg: Automatic 2D, surface, or tetrahedral triangular mesh generators
  • Monc: Software platform for oncology
  • NSPMG: Modeling of 2D and 3D flows around porous or solid obstacles. Direct Numerical Simulation (DNS) of Navier-Stokes equations using a penalization method and a multigrid solver
  • Neos: C++ framework for rapid prototyping of numerical simulations
  • openCARP: Cardiac electrophysiology simulator for in-silico experiments

Image Optimization and Probability

  • NL-SAR: Denoising of SAR radar images
  • RealTITracker: A toolbox for real-time 2D/3D optical flow based medical image registration
  • SUGAR: Stein Unbiased GrAdient estimator of the Risk

Mathematical Optimization, Random Models and Statistics

  • BIIIPS: Bayesian inference with interacting particle systems
  • BapCod: Prototype that solves Mixed Integer Programs (MIP) by applying reformulation and decomposition techniques
  • ClustOfVar: Variable clustering
  • CoVVSURF: Combination of variable clustering and variable selection using random forests
  • FracLab: A fractal analysis toolbox for signal and image processing
  • PCAmixdata: Multidimensional analysis of mixed data
  • vrpsolver: Exact Branch-Cut-and-Price solver for vehicle routing