Numerical Analysis Packages
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Grid.jl47Interpolation and related operations on grids
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RandomMatrices.jl85Random matrices package for Julia
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LinearExpressions.jl6Linear symbolic expressions for the Julia language
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Sobol.jl77Generation of Sobol low-discrepancy sequence (LDS) for the Julia language
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InplaceOps.jl54Convenient macros for in-place matrix operations in Julia
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LinearMaps.jl303A Julia package for defining and working with linear maps, also known as linear transformations or linear operators acting on vectors. The only requirement for a LinearMap is that it can act on a vector (by multiplication) efficiently.
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ApproXD.jl28B-splines and linear approximators in multiple dimensions for Julia
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Expokit.jl26Julia implementation of EXPOKIT routines
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Interpolations.jl523Fast, continuous interpolation of discrete datasets in Julia
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FastGaussQuadrature.jl298Julia package for Gaussian quadrature
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KNITRO.jl77A Julia interface to the Artelys Knitro solver
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Dopri.jl4A Julia wrapper for the DOPRI5 and DOP853 integrators.
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EiSCor.jl0Julia wrapper of the Fortran library for efficiently solving structured matrix eigenvalue problems using unitary core transformations
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SolveDSGE.jl79A Julia package to solve, simulate, and analyze nonlinear DSGE models.
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GridInterpolations.jl52Multidimensional grid interpolation in arbitrary dimensions
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CompEcon.jl47Julia versions of the CompEcon routines by Miranda and Fackler.
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LowRankApprox.jl109Fast low-rank matrix approximation in Julia
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AMD.jl20Approximate Minimum Degree Ordering in Julia
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FastTransforms.jl259:rocket: Julia package for orthogonal polynomial transforms :snowboarder:
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Indicators.jl216Financial market technical analysis & indicators in Julia
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IntervalConstraintProgramming.jl63Calculate rigorously the feasible region for a set of real-valued inequalities with Julia
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SciMLSensitivity.jl329A component of the DiffEq ecosystem for enabling sensitivity analysis for scientific machine learning (SciML). Optimize-then-discretize, discretize-then-optimize, adjoint methods, and more for ODEs, SDEs, DDEs, DAEs, etc.
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SciMLExpectations.jl65Fast uncertainty quantification for scientific machine learning (SciML) and differential equations
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QuadGK.jl268Adaptive 1d numerical Gauss–Kronrod integration in Julia
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FiniteDiff.jl247Fast non-allocating calculations of gradients, Jacobians, and Hessians with sparsity support
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StateSpaceRoutines.jl86Package implementing common state-space routines.
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NumericalIntegration.jl62Basic numerical integration routines for presampled data.
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RollingFunctions.jl115Roll a window over data; apply a function over the window.
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FEniCS.jl96A scientific machine learning (SciML) wrapper for the FEniCS Finite Element library in the Julia programming language
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IntervalRootFinding.jl127Library for finding the roots of a function using interval arithmetic
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HCubature.jl153Pure-Julia multidimensional h-adaptive integration
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PartialLeastSquaresRegressor.jl40Implementation of a Partial Least Squares Regressor
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LibCEED.jl196CEED Library: Code for Efficient Extensible Discretizations
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PiecewiseInterpolation.jl1Interpolate data with known discontinuities
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SummationByPartsOperators.jl94A Julia library of summation-by-parts (SBP) operators used in finite difference, Fourier pseudospectral, continuous Galerkin, and discontinuous Galerkin methods to get provably stable semidiscretizations, paying special attention to boundary conditions.
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FDM.jl296High accuracy derivatives, estimated via numerical finite differences (formerly FDM.jl)
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FiniteDifferences.jl296High accuracy derivatives, estimated via numerical finite differences (formerly FDM.jl)
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Simplices.jl1Compute exact simplex intersections in N dimensions.
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Preconditioners.jl50A few preconditioners for iterative solvers.
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Arpack.jl69Julia Wrappers for the arpack-ng Fortran library
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