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66 relations: AMPL, Applied mathematics, Approximation theory, B-spline, Basic Linear Algebra Subprograms, Bessel function, C (programming language), C++, Combination, Complex number, Discrete wavelet transform, Double-precision floating-point format, Eigenvalues and eigenvectors, Elementary function, Fast Fourier transform, Fortran, Function object, GNU General Public License, GNU Octave, GNU Project, Hankel transform, Haskell (programming language), Histogram, IEEE 754, Interpolation, Java (programming language), Jim Davies (cognitive scientist), Least squares, Levenberg–Marquardt algorithm, Library (computing), Linear algebra, Lisp (programming language), List of numerical analysis software, List of numerical libraries, Los Alamos National Laboratory, Low-discrepancy sequence, Mark Galassi, Mathematical optimization, Matrix (mathematics), Monte Carlo integration, Multiset, Netlib, Numerical differentiation, Numerical integration, Numerical Recipes, OCaml, Ordinary differential equation, Perl Data Language, Permutation, Physical constant, ..., Polynomial, Probability distribution, Python (programming language), QUADPACK, R (programming language), Random number generation, Root-finding algorithm, Ruby (programming language), Science, Series acceleration, Simulated annealing, Sorting, Special functions, Statistics, Tuple, Vector space. Expand index (16 more) »
AMPL
A Mathematical Programming Language (AMPL) is an algebraic modeling language to describe and solve high-complexity problems for large-scale mathematical computing (i.e., large-scale optimization and scheduling-type problems).
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Applied mathematics
Applied mathematics is the application of mathematical methods by different fields such as science, engineering, business, computer science, and industry.
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Approximation theory
In mathematics, approximation theory is concerned with how functions can best be approximated with simpler functions, and with quantitatively characterizing the errors introduced thereby.
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B-spline
In the mathematical subfield of numerical analysis, a B-spline, or basis spline, is a spline function that has minimal support with respect to a given degree, smoothness, and domain partition.
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Basic Linear Algebra Subprograms
Basic Linear Algebra Subprograms (BLAS) is a specification that prescribes a set of low-level routines for performing common linear algebra operations such as vector addition, scalar multiplication, dot products, linear combinations, and matrix multiplication.
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Bessel function
Bessel functions, first defined by the mathematician Daniel Bernoulli and then generalized by Friedrich Bessel, are the canonical solutions of Bessel's differential equation for an arbitrary complex number, the order of the Bessel function.
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C (programming language)
C (as in the letter ''c'') is a general-purpose, imperative computer programming language, supporting structured programming, lexical variable scope and recursion, while a static type system prevents many unintended operations.
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C++
C++ ("see plus plus") is a general-purpose programming language.
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Combination
In mathematics, a combination is a selection of items from a collection, such that (unlike permutations) the order of selection does not matter.
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Complex number
A complex number is a number that can be expressed in the form, where and are real numbers, and is a solution of the equation.
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Discrete wavelet transform
In numerical analysis and functional analysis, a discrete wavelet transform (DWT) is any wavelet transform for which the wavelets are discretely sampled.
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Double-precision floating-point format
Double-precision floating-point format is a computer number format, usually occupying 64 bits in computer memory; it represents a wide dynamic range of numeric values by using a floating radix point.
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Eigenvalues and eigenvectors
In linear algebra, an eigenvector or characteristic vector of a linear transformation is a non-zero vector that changes by only a scalar factor when that linear transformation is applied to it.
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Elementary function
In mathematics, an elementary function is a function of one variable which is the composition of a finite number of arithmetic operations, exponentials, logarithms, constants, and solutions of algebraic equations (a generalization of ''n''th roots).
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Fast Fourier transform
A fast Fourier transform (FFT) is an algorithm that samples a signal over a period of time (or space) and divides it into its frequency components.
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Fortran
Fortran (formerly FORTRAN, derived from Formula Translation) is a general-purpose, compiled imperative programming language that is especially suited to numeric computation and scientific computing.
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Function object
In computer programming, a function object is a construct allowing an object to be invoked or called as if it were an ordinary function, usually with the same syntax (a function parameter that can also be a function).
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GNU General Public License
The GNU General Public License (GNU GPL or GPL) is a widely used free software license, which guarantees end users the freedom to run, study, share and modify the software.
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GNU Octave
GNU Octave is software featuring a high-level programming language, primarily intended for numerical computations.
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GNU Project
The GNU Project is a free-software, mass-collaboration project, first announced on September 27, 1983 by Richard Stallman at MIT.
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Hankel transform
In mathematics, the Hankel transform expresses any given function f(r) as the weighted sum of an infinite number of Bessel functions of the first kind.
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Haskell (programming language)
Haskell is a standardized, general-purpose compiled purely functional programming language, with non-strict semantics and strong static typing.
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Histogram
A histogram is an accurate representation of the distribution of numerical data.
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IEEE 754
The IEEE Standard for Floating-Point Arithmetic (IEEE 754) is a technical standard for floating-point computation established in 1985 by the Institute of Electrical and Electronics Engineers (IEEE).
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Interpolation
In the mathematical field of numerical analysis, interpolation is a method of constructing new data points within the range of a discrete set of known data points.
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Java (programming language)
Java is a general-purpose computer-programming language that is concurrent, class-based, object-oriented, and specifically designed to have as few implementation dependencies as possible.
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Jim Davies (cognitive scientist)
Jim Davies is an American/Canadian cognitive scientist, playwright, artist, and author.
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Least squares
The method of least squares is a standard approach in regression analysis to approximate the solution of overdetermined systems, i.e., sets of equations in which there are more equations than unknowns.
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Levenberg–Marquardt algorithm
In mathematics and computing, the Levenberg–Marquardt algorithm (LMA or just LM), also known as the damped least-squares (DLS) method, is used to solve non-linear least squares problems.
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Library (computing)
In computer science, a library is a collection of non-volatile resources used by computer programs, often for software development.
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Linear algebra
Linear algebra is the branch of mathematics concerning linear equations such as linear functions such as and their representations through matrices and vector spaces.
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Lisp (programming language)
Lisp (historically, LISP) is a family of computer programming languages with a long history and a distinctive, fully parenthesized prefix notation.
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List of numerical analysis software
Listed here are end-user computer applications intended for use with numerical or data analysis.
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List of numerical libraries
This is a list of notable numerical libraries, which are libraries used in software development for performing numerical calculations.
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Los Alamos National Laboratory
Los Alamos National Laboratory (Los Alamos or LANL for short) is a United States Department of Energy national laboratory initially organized during World War II for the design of nuclear weapons as part of the Manhattan Project.
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Low-discrepancy sequence
In mathematics, a low-discrepancy sequence is a sequence with the property that for all values of N, its subsequence x1,..., xN has a low discrepancy.
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Mark Galassi
Mark Galassi is a physicist, computer scientist and contributor to the free software movement.
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Mathematical optimization
In mathematics, computer science and operations research, mathematical optimization or mathematical programming, alternatively spelled optimisation, is the selection of a best element (with regard to some criterion) from some set of available alternatives.
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Matrix (mathematics)
In mathematics, a matrix (plural: matrices) is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.
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Monte Carlo integration
In mathematics, Monte Carlo integration is a technique for numerical integration using random numbers.
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Multiset
In mathematics, a multiset (aka bag or mset) is a modification of the concept of a set that, unlike a set, allows for multiple instances for each of its elements.
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Netlib
Netlib is a repository of software for scientific computing maintained by AT&T, Bell Laboratories, the University of Tennessee and Oak Ridge National Laboratory.
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Numerical differentiation
In numerical analysis, numerical differentiation describes algorithms for estimating the derivative of a mathematical function or function subroutine using values of the function and perhaps other knowledge about the function.
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Numerical integration
In numerical analysis, numerical integration constitutes a broad family of algorithms for calculating the numerical value of a definite integral, and by extension, the term is also sometimes used to describe the numerical solution of differential equations.
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Numerical Recipes
Numerical Recipes is the generic title of a series of books on algorithms and numerical analysis by William H. Press, Saul A. Teukolsky, William T. Vetterling and Brian P. Flannery.
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OCaml
OCaml, originally named Objective Caml, is the main implementation of the programming language Caml, created by Xavier Leroy, Jérôme Vouillon, Damien Doligez, Didier Rémy, Ascánder Suárez and others in 1996.
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Ordinary differential equation
In mathematics, an ordinary differential equation (ODE) is a differential equation containing one or more functions of one independent variable and its derivatives.
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Perl Data Language
Perl Data Language (abbreviated PDL) is a set of free software array programming extensions to the Perl programming language.
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Permutation
In mathematics, the notion of permutation relates to the act of arranging all the members of a set into some sequence or order, or if the set is already ordered, rearranging (reordering) its elements, a process called permuting.
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Physical constant
A physical constant, sometimes fundamental physical constant or universal constant, is a physical quantity that is generally believed to be both universal in nature and have constant value in time.
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Polynomial
In mathematics, a polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.
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Probability distribution
In probability theory and statistics, a probability distribution is a mathematical function that provides the probabilities of occurrence of different possible outcomes in an experiment.
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Python (programming language)
Python is an interpreted high-level programming language for general-purpose programming.
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QUADPACK
QUADPACK is a FORTRAN 77 library for numerical integration of one-dimensional functions.
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R (programming language)
R is a programming language and free software environment for statistical computing and graphics that is supported by the R Foundation for Statistical Computing.
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Random number generation
Random number generation is the generation of a sequence of numbers or symbols that cannot be reasonably predicted better than by a random chance, usually through a hardware random-number generator (RNG).
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Root-finding algorithm
In mathematics and computing, a root-finding algorithm is an algorithm for finding roots of continuous functions.
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Ruby (programming language)
Ruby is a dynamic, interpreted, reflective, object-oriented, general-purpose programming language.
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Science
R. P. Feynman, The Feynman Lectures on Physics, Vol.1, Chaps.1,2,&3.
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Series acceleration
In mathematics, series acceleration is one of a collection of sequence transformations for improving the rate of convergence of a series.
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Simulated annealing
Simulated annealing (SA) is a probabilistic technique for approximating the global optimum of a given function.
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Sorting
Sorting is any process of arranging items systematically, and has two common, yet distinct meanings.
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Special functions
Special functions are particular mathematical functions which have more or less established names and notations due to their importance in mathematical analysis, functional analysis, physics, or other applications.
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Statistics
Statistics is a branch of mathematics dealing with the collection, analysis, interpretation, presentation, and organization of data.
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Tuple
In mathematics, a tuple is a finite ordered list (sequence) of elements.
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Vector space
A vector space (also called a linear space) is a collection of objects called vectors, which may be added together and multiplied ("scaled") by numbers, called scalars.
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References
[1] https://en.wikipedia.org/wiki/GNU_Scientific_Library
