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REDUCE

swMATH ID: 789
Software Authors: Anthony C. Hearn; Rayna, Gerhard; Rainer Schöpf; Thomas Sturm
Description: 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.
Homepage: http://reduce-algebra.sourceforge.net/
Keywords: orms; computer algebra
Related Software: Maple; Mathematica; MACSYMA; DIMSYM; EXCALC; AXIOM; CRACK; REDLOG; SINGULAR; LIE; GENTRAN; SPDE; CoCoA; MuPAD; Macaulay2; DERIVE; SYMMGRP; QEPCAD; CALI; Magma
Cited in: 733 Publications
This software is also referenced in ORMS.
Further Publications: http://reduce-algebra.sourceforge.net/bibl/bib.html
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Cited by 847 Authors

28 Nucci, Maria Clara
18 Meleshko, Sergey V.
14 Moitsheki, Raseelo J.
12 Leach, Peter Gavin Lawrence
10 Van Hulzen, Johan A.
9 Liska, Richard
8 Gerdt, Vladimir Petrovich
8 Hehl, Friedrich W.
8 Serdyukova, S. I.
8 Sophocleous, Christodoulos
7 Oliveri, Francesco
7 Schrüfer, Eberhard
7 Sturm, Thomas
6 Fitch, John
6 Ganzha, Victor G.
6 Hereman, Willy A.
6 MacCallum, Malcolm A. H.
6 Niki, Naoto
6 Popowicz, Ziemowit
6 Schwarz, Fritz
6 Steeb, Willi-Hans
5 Berkovich, Lev M.
5 Davenport, James Harold
5 Goldman, Victor V.
5 Gorgone, Matteo
5 Gragert, Peter K. H.
5 Hearn, Anthony C.
5 Heinle, Albert
5 Kölbig, Kurt Siegfried
5 Macías, Alfredo
5 Neun, Winfried
5 Ojika, Takeo
5 Rouff, Marc
5 Zharkov, A. Yu.
4 Alfeld, Peter
4 Baekler, Peter
4 Banerjee, J. Ranjan
4 Broadhurst, David John
4 Calmet, Jacques
4 Carminati, John
4 Chekanov, N. A.
4 Elishakoff, Isaac
4 Gatermann, Karin
4 Ibragimov, Nail Hairullovich
4 Ito, Masaaki
4 Koepf, Wolfram A.
4 Kreimer, Dirk
4 Kryukov, A. P.
4 Levandovskyy, Viktor
4 Lloyd, Noel Glynne
4 Makinde, Oluwole Daniel
4 Özer, Mehmet Naci
4 Pearson, Jane Margaret
4 Prince, Geoff E.
4 Rostovtsev, Vitaly A.
4 Seiler, Werner M.
4 Socorro, José
4 Vinitsky, Sergue I.
4 Vorozhtsov, Evgenii V.
3 Barbot, Jean-Pierre
3 Bayram, Mustafa
3 Broadbridge, Philip
3 Buchberger, Bruno
3 Caviness, Bob F.
3 Cliffe, K. Andrew
3 Cordeiro, Gauss Moutinho
3 Cox, David A.
3 dos Santos, Renato P.
3 Edneral, Victor F.
3 Edwards, Maureen P.
3 Gawthrop, Peter J.
3 Gräbe, Hans-Gert
3 Gubbiotti, Giorgio
3 Hartley, David H.
3 Hietarinta, Jarmo
3 Kendall, Wilfrid S.
3 Kersten, Paul H. M.
3 Konishi, Sadanori
3 Lämmerzahl, Claus
3 Little, John Brittain
3 McCrea, J. Dermott
3 Möller, Hans Michael
3 Nakagawa, Shigekazu
3 Neta, Beny
3 Norman, Arthur C.
3 O’Connor, J. E. R.
3 O’Shea, Donal B.
3 Roanes-Lozano, Eugenio
3 Roberts, Anthony John
3 Sasaki, Tateaki
3 Scheen, Christian
3 Shapeev, Vasiliĭ Pavlovich
3 Skea, James E. F.
3 Taşcan, Filiz
3 Tavener, Simon J.
3 Uwano, Yoshio
3 Vitolo, Raffaele F.
3 Vulcanov, Dumitru N.
3 Wang, Paul S.
3 Weispfenning, Volker
...and 747 more Authors
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Cited in 202 Serials

55 Journal of Symbolic Computation
38 Computer Physics Communications
19 Journal of Computational Physics
17 Programming and Computer Software
15 Journal of Mathematical Physics
14 Applied Mathematics and Computation
14 Mathematics and Computers in Simulation
13 Journal of Mathematical Analysis and Applications
11 Journal of Nonlinear Mathematical Physics
10 Classical and Quantum Gravity
10 General Relativity and Gravitation
10 Physics Letters. A
10 SIGSAM Bulletin
9 Computer Methods in Applied Mechanics and Engineering
9 Journal of Physics A: Mathematical and General
7 Computers & Mathematics with Applications
7 Journal of Computational and Applied Mathematics
7 Mathematical and Computer Modelling
6 Physics Letters. B
6 Acta Applicandae Mathematicae
6 Computer Aided Geometric Design
5 Computers and Structures
5 Theoretical and Mathematical Physics
5 Computing
5 Celestial Mechanics
5 Nonlinear Dynamics
5 Communications in Nonlinear Science and Numerical Simulation
4 Journal of Geometry and Physics
4 Annals of the Institute of Statistical Mathematics
4 Applied Numerical Mathematics
4 Applicable Algebra in Engineering, Communication and Computing
4 International Journal of Modern Physics C
4 Journal of Physics A: Mathematical and Theoretical
3 Artificial Intelligence
3 International Journal of Solids and Structures
3 International Journal of Systems Science
3 Journal of the Franklin Institute
3 Mathematical Biosciences
3 Nuclear Physics. B
3 Mathematics of Computation
3 ACM Transactions on Mathematical Software
3 Automatica
3 Publications of the Research Institute for Mathematical Sciences, Kyoto University
3 Physica D
3 Communications of the ACM
3 International Journal of Computer Mathematics
3 Indagationes Mathematicae. New Series
3 Journal of Applied Mechanics and Technical Physics
3 Nonlinear Analysis. Real World Applications
3 Undergraduate Texts in Mathematics
2 Acta Mechanica
2 International Journal of Control
2 International Journal of Engineering Science
2 Journal of Sound and Vibration
2 Mathematical Methods in the Applied Sciences
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Differential Equations
2 Journal of Econometrics
2 Quaestiones Mathematicae
2 Theoretical Computer Science
2 Transactions of the American Mathematical Society
2 Journal of Automated Reasoning
2 Applied Mathematics Letters
2 IMPACT of Computing in Science and Engineering
2 Numerical Algorithms
2 Computational Mathematics and Mathematical Physics
2 Annals of Physics
2 Communications in Statistics. Simulation and Computation
2 Celestial Mechanics and Dynamical Astronomy
2 SIAM Journal on Scientific Computing
2 Electronic Journal of Differential Equations (EJDE)
2 Fundamental’naya i Prikladnaya Matematika
2 Doklady Mathematics
2 Revista de Matemática: Teoría y Aplicaciones
2 BIT. Nordisk Tidskrift for Informationsbehandling
2 Lecture Notes in Computer Science
2 Lecture Notes in Mathematics
2 Mathematics and its Applications (Dordrecht)
2 Advances in Mathematical Physics
1 International Journal of Modern Physics A
1 Advances in Applied Probability
1 Applicable Analysis
1 Astronomische Nachrichten
1 Astrophysics and Space Science
1 Astronomicheskiĭ Zhurnal
1 Bulletin of the Australian Mathematical Society
1 Communications in Algebra
1 Computers and Fluids
1 Communications in Mathematical Physics
1 Earth, Moon, and Planets
1 Geophysical and Astrophysical Fluid Dynamics
1 IMA Journal of Applied Mathematics
1 IMA Journal of Numerical Analysis
1 Ingenieur-Archiv
1 International Journal of Non-Linear Mechanics
1 International Journal for Numerical Methods in Fluids
1 International Journal of Theoretical Physics
1 Journal of Applied Mathematics and Mechanics
1 Journal of the Australian Mathematical Society, Series B
1 Journal of Engineering Mathematics
...and 102 more Serials
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Cited in 57 Fields

300 Computer science (68-XX)
162 Numerical analysis (65-XX)
128 Partial differential equations (35-XX)
107 Ordinary differential equations (34-XX)
63 Fluid mechanics (76-XX)
53 Quantum theory (81-XX)
53 Relativity and gravitational theory (83-XX)
50 Mechanics of particles and systems (70-XX)
46 Dynamical systems and ergodic theory (37-XX)
42 Differential geometry (53-XX)
34 Commutative algebra (13-XX)
34 Global analysis, analysis on manifolds (58-XX)
34 Mechanics of deformable solids (74-XX)
26 Systems theory; control (93-XX)
22 Field theory and polynomials (12-XX)
21 Statistics (62-XX)
17 Nonassociative rings and algebras (17-XX)
16 Biology and other natural sciences (92-XX)
15 Approximations and expansions (41-XX)
14 Special functions (33-XX)
14 Classical thermodynamics, heat transfer (80-XX)
13 Algebraic geometry (14-XX)
13 Linear and multilinear algebra; matrix theory (15-XX)
13 Topological groups, Lie groups (22-XX)
10 Mathematical logic and foundations (03-XX)
10 Probability theory and stochastic processes (60-XX)
9 Number theory (11-XX)
9 Functions of a complex variable (30-XX)
8 General and overarching topics; collections (00-XX)
7 Associative rings and algebras (16-XX)
7 Optics, electromagnetic theory (78-XX)
5 Group theory and generalizations (20-XX)
5 Operator theory (47-XX)
5 Statistical mechanics, structure of matter (82-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Mathematics education (97-XX)
4 Combinatorics (05-XX)
4 Difference and functional equations (39-XX)
4 Integral transforms, operational calculus (44-XX)
4 Geometry (51-XX)
4 Geophysics (86-XX)
3 Integral equations (45-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
3 Operations research, mathematical programming (90-XX)
2 Potential theory (31-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Manifolds and cell complexes (57-XX)
2 Astronomy and astrophysics (85-XX)
2 Information and communication theory, circuits (94-XX)
1 History and biography (01-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 General algebraic systems (08-XX)
1 Category theory; homological algebra (18-XX)
1 Real functions (26-XX)
1 Abstract harmonic analysis (43-XX)
1 Functional analysis (46-XX)
1 General topology (54-XX)

Citations by Year