REDUCE

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.


References in zbMATH (referenced in 622 articles , 4 standard articles )

Showing results 1 to 20 of 622.
Sorted by year (citations)

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  1. Cimmelli, Vito A.; Oliveri, F.; Pace, A.Raffaele: Phase-field evolution in Cahn-Hilliard-Korteweg fluids (2016)
  2. Nakpim, Warisa: Third-order ordinary differential equations equivalent to linear second-order ordinary differential equations via tangent transformations (2016)
  3. Paliathanasis, Andronikos; Leach, P.G.L.: Nonlinear ordinary differential equations: a discussion on symmetries and singularities (2016)
  4. Beloussov, Igor V.: Another formulation of the Wick’s theorem. Farewell, pairing? (2015)
  5. Cox, David A.; Little, John; O’Shea, Donal: Ideals, varieties, and algorithms. An introduction to computational algebraic geometry and commutative algebra (2015)
  6. Fukasaku, Ryoya; Iwane, Hidenao; Sato, Yosuke: Real quantifier elimination by computation of comprehensive Gröbner systems (2015)
  7. Gubbiotti, G.; Nucci, M.C.: Quantization of quadratic Liénard-type equations by preserving Noether symmetries (2015)
  8. Kovács, Zoltán: The relation tool in GeoGebra 5 (2015)
  9. Kovács, Zoltán; Parisse, Bernard: Giac and GeoGebra -- improved Gröbner basis computations (2015)
  10. Roberts, A. J.: Model emergent dynamics in complex systems (2015)
  11. Sturm, Thomas: Subtropical real root finding (2015)
  12. Achilles, Rüdiger; Manaresi, Mirella; Schenzel, Peter: A degree formula for secant varieties of curves (2014)
  13. Baekler, Peter; Favaro, Alberto; Itin, Yakov; Hehl, Friedrich W.: The Kummer tensor density in electrodynamics and in gravity (2014)
  14. Bailey, David H.; Borwein, Jonathan M.; Kaiser, Alexander D.: Automated simplification of large symbolic expressions (2014)
  15. Bozhkov, Y.; Dimas, S.: Group classification of a generalization of the Heath equation (2014)
  16. Ferapontov, E.V.; Pavlov, M.V.; Vitolo, R.F.: Projective-geometric aspects of homogeneous third-order Hamiltonian operators (2014)
  17. Giesbrecht, Mark; Heinle, Albert; Levandovskyy, Viktor: Factoring linear differential operators in $n$ variables (2014)
  18. Mhlongo, M.D.; Moitsheki, R.J.: Some exact solutions of nonlinear fin problem for steady heat transfer in longitudinal fin with different profiles (2014)
  19. Nutku, Y.; Sheftel, M.B.: A family of heavenly metrics (2014)
  20. Potsane, M.M.; Moitsheki, R.J.: Classification of the group invariant solutions for contaminant transport in saturated soils under radial uniform water flows (2014)

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Further publications can be found at: http://reduce-algebra.sourceforge.net/bibl/bib.html