Symbolic Computing [Reference entry in Encyclopedia]

Certik, Ondrej; Paprocki, Mateusz; Meurer, Aaron; Granger, Brian; Rathnayake, Thilina

doi:10.1007/978-3-540-70529-1_429

Title: Symbolic Computing [Reference entry in Encyclopedia]

Book · Sat Nov 21 00:00:00 EST 2015

DOI:https://doi.org/10.1007/978-3-540-70529-1_429· OSTI ID:1523229

^[1]; Paprocki, Mateusz ^[2]; Meurer, Aaron ^[3]; Granger, Brian ^[4]; Rathnayake, Thilina ^[5]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
refptr.pl, Wroclaw (Poland)
New Mexico State Univ., Las Cruces, NM (United States)
California Polytechnic State Univ. (CalPoly), San Luis Obispo, CA (United States)
Univ. of Moratuwa (Sri Lanka)

The concept of Symbolic Computing is addressed. Included sections are: Definition, History, Overview, Software, Acknowledgements and References.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE

DOE Contract Number:: 89233218CNA000001

OSTI ID:: 1523229

Report Number(s):: LA-UR-15-20943

Resource Relation:: Related Information: In: Encyclopedia of Applied and Computational Mathematics, 2015 ed., Bjorn Engquist, ed.

Country of Publication:: United States

Language:: English

References (28)

Constrained Multibody Dynamics With Python: From Symbolic Equation Generation to Publication Gede, Gilbert; Peterson, Dale L.; Nanjangud, Angadh S. ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Volume 7B: 9th International Conference on Multibody Systems, Nonlinear Dynamics, and Control https://doi.org/10.1115/DETC2013-13470	conference	February 2014
Generating Feynman diagrams and amplitudes with FeynArts 3 Hahn, Thomas Computer Physics Communications, Vol. 140, Issue 3 https://doi.org/10.1016/S0010-4655(01)00290-9	journal	November 2001
A programming system for analytical series expansions on a computer Broucke, R.; Garthwaite, K. Celestial Mechanics, Vol. 1, Issue 2 https://doi.org/10.1007/BF01228844	journal	June 1969
Literal expressions for the co-ordinates of the moon: I. The First Degree Terms Bourne, S. R. Celestial Mechanics, Vol. 6, Issue 2 https://doi.org/10.1007/BF01227779	journal	September 1972
A Heuristic Program that Solves Symbolic Integration Problems in Freshman Calculus Slagle, James R. Journal of the ACM, Vol. 10, Issue 4 https://doi.org/10.1145/321186.321193	journal	October 1963
Applications of algebraic manipulation programs in physics Barton, D.; Fitch, J. P. Reports on Progress in Physics, Vol. 35, Issue 1 https://doi.org/10.1088/0034-4885/35/1/305	journal	January 1972
A FORTRAN-based list processor for Poisson series Jefferys, W. H. Celestial Mechanics, Vol. 2, Issue 4 https://doi.org/10.1007/BF01625279	journal	December 1970
Factoring polynomials with rational coefficients Lenstra, A. K.; Lenstra, H. W.; Lov�sz, L. Mathematische Annalen, Vol. 261, Issue 4 https://doi.org/10.1007/BF01457454	journal	December 1982
Parallel sparse polynomial multiplication on modern hardware architectures Biscani, Francesco Proceedings of the 37th International Symposium on Symbolic and Algebraic Computation - ISSAC '12 https://doi.org/10.1145/2442829.2442845	conference	January 2012
Effects of Computer Algebra Systems on Concept and Skill Acquisition in Calculus Palmiter, Jeanette R. Journal for Research in Mathematics Education, Vol. 22, Issue 2 https://doi.org/10.2307/749591	journal	March 1991
On the rapid computation of various polylogarithmic constants Bailey, David; Borwein, Peter; Plouffe, Simon Mathematics of Computation, Vol. 66, Issue 218 https://doi.org/10.1090/S0025-5718-97-00856-9	journal	April 1997
Automated one-loop calculations in four and D dimensions Hahn, T.; Pérez-Victoria, M. Computer Physics Communications, Vol. 118, Issue 2-3 https://doi.org/10.1016/S0010-4655(98)00173-8	journal	May 1999
Experience with the muSIMP/muMATH-80 symbolic mathematics system Shochat, David D. ACM SIGSAM Bulletin, Vol. 16, Issue 3 https://doi.org/10.1145/1089302.1089306	journal	August 1982
Development of TRIP: Fast Sparse Multivariate Polynomial Multiplication Using Burst Tries Gastineau, Mickaël; Laskar, Jacques Computational Science – ICCS 2006 https://doi.org/10.1007/11758525_60	book	January 2006
A Course in Computational Algebraic Number Theory Cohen, Henri Graduate Texts in Mathematics https://doi.org/10.1007/978-3-662-02945-9	book	January 1993
IPython: A System for Interactive Scientific Computing Perez, Fernando; Granger, Brian E. Computing in Science & Engineering, Vol. 9, Issue 3 https://doi.org/10.1109/MCSE.2007.53	journal	January 2007
Algorithms for Computer Algebra Geddes, K. O.; Czapor, S. R.; Labahn, G. https://doi.org/10.1007/b102438	book	January 1992
Matplotlib: A 2D Graphics Environment Hunter, John D. Computing in Science & Engineering, Vol. 9, Issue 3 https://doi.org/10.1109/MCSE.2007.55	journal	January 2007
From weak Interactions to Gravitation Veltman, Martinus J. G. International Journal of Modern Physics A, Vol. 15, Issue 29 https://doi.org/10.1142/S0217751X00002871	journal	November 2000
A Mathematica Package for Simulation of Quantum Computation Gerdt, Vladimir P.; Kragler, Robert; Prokopenya, Alexander N. Computer Algebra in Scientific Computing https://doi.org/10.1007/978-3-642-04103-7_11	book	January 2009
Symbolic manipulators affect mathematical mindsets Bing, Thomas J.; Redish, Edward F. American Journal of Physics, Vol. 76, Issue 4 https://doi.org/10.1119/1.2835053	journal	April 2008
On the multiplication of poisson series Fateman, Richard J. Celestial Mechanics, Vol. 10, Issue 2 https://doi.org/10.1007/BF01227622	journal	October 1974
A note on an attempt at more efficient Poisson series evaluation Shelus, Peter J.; Jefferys, William H. Celestial Mechanics, Vol. 11, Issue 1 https://doi.org/10.1007/BF01228737	journal	February 1975
Introduction to the GiNaC Framework for Symbolic Computation within the C++ Programming Language Bauer, Christian; Frink, Alexander; Kreckel, Richard Journal of Symbolic Computation, Vol. 33, Issue 1 https://doi.org/10.1006/jsco.2001.0494	journal	January 2002
Feyn Calc - Computer-algebraic calculation of Feynman amplitudes Mertig, R.; Böhm, M.; Denner, A. Computer Physics Communications, Vol. 64, Issue 3 https://doi.org/10.1016/0010-4655(91)90130-D	journal	June 1991
Quantum Mechanics Using Computer Algebra Steeb, Willi-Hans; Hardy, Yorick https://doi.org/10.1142/7751	book	March 2010
Macsyma: A personal history Moses, Joel Journal of Symbolic Computation, Vol. 47, Issue 2 https://doi.org/10.1016/j.jsc.2010.08.018	journal	February 2012
Manual for SCHOONSCHIP a CDC 6000/7000 program for symbolic evaluation of algebraic expressions Strubbe, H. Computer Physics Communications, Vol. 8, Issue 1 https://doi.org/10.1016/0010-4655(74)90081-2	journal	August 1974

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