REDUCE is an interactive system for general algebraic computations of interest to mathematicians, scientists and engineers. Computer algebra system (CAS). It has been produced by a collaborative effort involving many contributors. Its capabilities include: expansion and ordering of polynomials and rational functions; substitutions and pattern matching in a wide variety of forms; automatic and user controlled simplification of expressions; calculations with symbolic matrices; arbitrary precision integer and real arithmetic; facilities for defining new functions and extending program syntax; analytic differentiation and integration; factorization of polynomials; facilities for the solution of a variety of algebraic equations; facilities for the output of expressions in a variety of formats; facilities for generating optimized numerical programs from symbolic input; calculations with a wide variety of special functions; Dirac matrix calculations of interest to high energy physicists.
This software is also referenced in ORMS.
This software is also referenced in ORMS.
Keywords for this software
References in zbMATH (referenced in 705 articles , 4 standard articles )
Showing results 1 to 20 of 705.
- Chaiyasena, A.; Worapitpong, W.; Meleshko, S. V.: Generalized Riemann waves and their adjoinment through a shock wave (2018)
- Di Salvo, Rosa; Gorgone, Matteo; Oliveri, Francesco: A consistent approach to approximate Lie symmetries of differential equations (2018)
- Gorgone, Matteo; Oliveri, Francesco: Approximate Q-conditional symmetries of partial differential equations (2018)
- Houston, Paul; Sime, Nathan: Automatic symbolic computation for discontinuous Galerkin finite element methods (2018)
- Huf, P. A.; Carminati, J.: Elucidation of covariant proofs in general relativity: example of the use of algebraic software in the shear-free conjecture in MAPLE (2018)
- Jamal, Sameerah: (n^\textth)-order approximate Lagrangians induced by perturbative geometries (2018)
- Levandovskyy, Viktor; Heinle, Albert: A factorization algorithm for (G)-algebras and its applications (2018)
- Paliathanasis, Andronikos; Jamal, Sameerah: Approximate Noether symmetries and collineations for regular perturbative Lagrangians (2018)
- Beebe, Nelson H. F.: The mathematical-function computation handbook. Programming using the MathCW portable software library (2017)
- Heinle, Albert; Levandovskyy, Viktor: Factorization of ( \mathbbZ)-homogeneous polynomials in the first (q)-Weyl algebra (2017)
- Krasil’shchik, Joseph; Verbovetskiy, Alexander; Vitolo, Raffaele: The symbolic computation of integrability structures for partial differential equations (2017)
- Mkhize, T. G.; Govinder, K.; Moyo, S.; Meleshko, S. V.: Linearization criteria for systems of two second-order stochastic ordinary differential equations (2017)
- Shan’ko, Yu. V.: Solution of the Ovsyannikov problem of two-dimensional isothermal motion of a polytropic gas (2017)
- Ábrahám, Erika; Abbott, John; Becker, Bernd; Bigatti, Anna M.; Brain, Martin; Buchberger, Bruno; Cimatti, Alessandro; Davenport, James H.; England, Matthew; Fontaine, Pascal; Forrest, Stephen; Griggio, Alberto; Kroening, Daniel; Seiler, Werner M.; Sturm, Thomas: \textsfSC(^2): satisfiability checking meets symbolic computation. (Project paper) (2016)
- Bright, Curtis; Ganesh, Vijay; Heinle, Albert; Kotsireas, Ilias; Nejati, Saeed; Czarnecki, Krzysztof: \textscmathcheck2: a SAT+CAS verifier for combinatorial conjectures (2016)
- Cimmelli, Vito A.; Oliveri, F.; Pace, A. Raffaele: Phase-field evolution in Cahn-Hilliard-Korteweg fluids (2016)
- Frutos Alfaro, Francisco; Carboni Méndez, Rodrigo: Magnetohydrodynamic equations (MHD) generation code (2016)
- Heinle, Albert; Levandovskyy, Viktor: A factorization algorithm for (G)-algebras and applications (2016)
- Nakpim, Warisa: Third-order ordinary differential equations equivalent to linear second-order ordinary differential equations via tangent transformations (2016)
- Paliathanasis, Andronikos; Leach, P. G. L.: Nonlinear ordinary differential equations: a discussion on symmetries and singularities (2016)
Further publications can be found at: http://reduce-algebra.sourceforge.net/bibl/bib.html