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BLOPEX (Block Locally Optimal Preconditioned Eigenvalue Xolvers) is an open-source library for the scalable solution of eigenvalue problems. FFTW (Fastest Fourier Transform in the West) is a software library for computing Fourier and related transforms. GNU Scientific Library, a popular, free numerical analysis library implemented in C.
Maple is a symbolic and numeric computing environment as well as a multi-paradigm programming language. It covers several areas of technical computing, such as symbolic mathematics, numerical analysis, data processing, visualization, and others. A toolbox, MapleSim, adds functionality for multidomain physical modeling and code generation.
FFTPACK is a package of Fortran subroutines for the fast Fourier transform.It includes complex, real, sine, cosine, and quarter-wave transforms.It was developed by Paul Swarztrauber of the National Center for Atmospheric Research, and is included in the general-purpose mathematical library SLATEC.
Symbolic integration of the algebraic function f(x) = x / √ x 4 + 10x 2 − 96x − 71 using the computer algebra system Axiom. In mathematics and computer science, [1] computer algebra, also called symbolic computation or algebraic computation, is a scientific area that refers to the study and development of algorithms and software for manipulating mathematical expressions and other ...
Support for the algebraic computation of Clifford algebras was described in using SymbolicC++ in 2002. [7] Subsequently, support for Gröbner bases was added. [8] The third version [4] features a complete rewrite of SymbolicC++ and was released in 2008. This version encapsulates all symbolic expressions in the Symbolic class.
Symbolic-numeric computation — combination of symbolic and numeric methods; Cultural and historical aspects: History of numerical solution of differential equations using computers; Hundred-dollar, Hundred-digit Challenge problems — list of ten problems proposed by Nick Trefethen in 2002; International Workshops on Lattice QCD and Numerical ...
The Cooley–Tukey algorithm, named after J. W. Cooley and John Tukey, is the most common fast Fourier transform (FFT) algorithm. It re-expresses the discrete Fourier transform (DFT) of an arbitrary composite size = in terms of N 1 smaller DFTs of sizes N 2, recursively, to reduce the computation time to O(N log N) for highly composite N (smooth numbers).
Symbolic Manipulation Program, usually called SMP, was a computer algebra system designed by Chris A. Cole and Stephen Wolfram at Caltech circa 1979. It was initially developed in the Caltech physics department with contributions from Geoffrey C. Fox , Jeffrey M. Greif, Eric D. Mjolsness, Larry J. Romans, Timothy Shaw, and Anthony E. Terrano.