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Found 145 Software Packages (Results 1–100)

Matlab

Cited in 14,646 Documents (1982–2025)
Software Authors: MathWorks Inc
Related Software: Simulink; LMI toolbox; MATLAB ODE suite; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Numerical analysis (65-XX); …

R

Cited in 10,120 Documents (1978–2024)
Software Authors: Wickham, Hadley; Gentleman, Robert; Ihaka, Ross; Chambers, John M.; Venables, William N.; Ripley, Brian D.
Related Software: CRAN; ggplot2; SAS; …
Main Fields: Probability theory and stochastic processes (60-XX); Statistics (62-XX); Numerical analysis (65-XX); …

Mathematica

Cited in 6,814 Documents (1986–2024)
Software Authors: Research, Wolfram
Related Software: Maple; Matlab; R; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Computer science (68-XX); …

Maple

Cited in 5,473 Documents (1983–2024)
Software Authors: Waterloo Maple Inc.
Related Software: Mathematica; Matlab; Magma; …
Main Fields: Number theory (11-XX); Ordinary differential equations (34-XX); Partial differential equations (35-XX); …

OEIS

Cited in 5,516 Documents (1973–2025)
Software Authors: Sloane, Neil J. A.; The OEIS Foundation Inc.
Related Software: SageMath; Mathematica; DLMF; …
Main Fields: Combinatorics (05-XX); Number theory (11-XX); Linear and multilinear algebra; matrix theory (15-XX); …

GitHub

Cited in 5,222 Documents (2010–2024)
Software Authors: github
Related Software: R; Adam; Matlab; …
Main Fields: Statistics (62-XX); Numerical analysis (65-XX); Computer science (68-XX); …

DLMF

Cited in 3,926 Documents (2000–2024)
Software Authors: Lozier, Daniel W.
Related Software: Mathematica; Matlab; OEIS; …
Main Fields: Special functions (33-XX); Partial differential equations (35-XX); Probability theory and stochastic processes (60-XX); …

GAP

Cited in 3,772 Documents (1990–2024)
Software Authors: GAP Group
Related Software: Magma; SageMath; ATLAS Group Representations; …
Main Fields: Combinatorics (05-XX); Algebraic geometry (14-XX); Associative rings and algebras (16-XX); …

Python

Cited in 1,601 Documents (1991–2025)
Software Authors: Rossum, Guido van
Related Software: SciPy; NumPy; Matplotlib; …
Main Fields: Statistics (62-XX); Numerical analysis (65-XX); Computer science (68-XX); …

SageMath

Cited in 2,721 Documents (2002–2024)
Software Authors: Developers, The Sage; Stein, William; Joyner, David; Kohel, David; Cremona, John; Eröcal, Burçin
Related Software: Magma; GAP; GitHub; …
Main Fields: Combinatorics (05-XX); Number theory (11-XX); Algebraic geometry (14-XX); …

Macaulay2

Cited in 2,320 Documents (1988–2024)
Software Authors: Grayson, Daniel R.; Stillman, Michael E.; Eisenbud, David; http://www.math.uiuc.edu/Macaulay2/Contributors/
Related Software: SINGULAR; CoCoA; SageMath; …
Main Fields: Combinatorics (05-XX); Commutative algebra (13-XX); Algebraic geometry (14-XX); …

Adam

Cited in 2,034 Documents (2016–2024)
Software Authors: Kingma, Diederik P.; Ba, Jimmy
Related Software: PyTorch; TensorFlow; ImageNet; …
Main Fields: Statistics (62-XX); Numerical analysis (65-XX); Computer science (68-XX); …

LAPACK

Cited in 1,787 Documents (1988–2024)
Software Authors: LAPACK team: lapack@cs.utk.edu
Related Software: BLAS; ScaLAPACK; Matlab; …
Main Fields: Linear and multilinear algebra; matrix theory (15-XX); Numerical analysis (65-XX); Computer science (68-XX); …

SINGULAR

Cited in 1,672 Documents (1991–2024)
Software Authors: Decker, Wolfram; Greuel, Gert-Martin; Pfister, Gerhard; Schönemann, Hans
Related Software: Macaulay2; CoCoA; SageMath; …
Main Fields: Commutative algebra (13-XX); Algebraic geometry (14-XX); Several complex variables and analytic spaces (32-XX); …

mctoolbox

Cited in 1,686 Documents (1995–2024)
Software Authors: Higham, Nick
Related Software: LAPACK; Matlab; mftoolbox; …
Main Fields: Linear and multilinear algebra; matrix theory (15-XX); Numerical analysis (65-XX); Computer science (68-XX); …

PRMLT

Cited in 1,440 Documents (2006–2024)
Software Authors: Bishop, C.
Related Software: UCI-ml; ElemStatLearn; Adam; …
Main Fields: Statistics (62-XX); Numerical analysis (65-XX); Computer science (68-XX); …

CUDA

Cited in 1,259 Documents (2007–2024)
Software Authors: NVIDIA; Vingelmann, Péter; Fitzek, Frank H.P.
Related Software: OpenCL; CUBLAS; Matlab; …
Main Fields: Numerical analysis (65-XX); Computer science (68-XX); Mechanics of deformable solids (74-XX); …

LMI toolbox

Cited in 1,517 Documents (1995–2024)
Software Authors: MathWorks; Gahinet, P.; Nemirovskii, A.; Laub, A.J.; Chilali, M.
Related Software: Matlab; Control System Toolbox; YALMIP; …
Main Fields: Linear and multilinear algebra; matrix theory (15-XX); Ordinary differential equations (34-XX); Operations research, mathematical programming (90-XX); …

SeDuMi

Cited in 1,407 Documents (1999–2024)
Software Authors: Sturm, J.F
Related Software: YALMIP; SDPT3; GloptiPoly; …
Main Fields: Statistics (62-XX); Numerical analysis (65-XX); Computer science (68-XX); …

YALMIP

Cited in 1,297 Documents (2004–2024)
Software Authors: Löfberg, Johan
Related Software: SeDuMi; Mosek; SDPT3; …
Main Fields: Calculus of variations and optimal control; optimization (49-XX); Numerical analysis (65-XX); Computer science (68-XX); …

FEniCS

Cited in 1,252 Documents (2007–2024)
Software Authors: Simula Research Laboratory; University of Cambridge; University of Chicago; Texas Tech University; KTH Royal Institute of Technology
Related Software: SyFi; PETSc; DOLFIN; …
Main Fields: Partial differential equations (35-XX); Calculus of variations and optimal control; optimization (49-XX); Numerical analysis (65-XX); …

SciPy

Cited in 884 Documents (2005–2024)
Software Authors: Jones, E.; Oliphant, T.; Peterson, P.
Related Software: Python; NumPy; Matplotlib; …
Main Fields: Statistics (62-XX); Numerical analysis (65-XX); Computer science (68-XX); …

ImageNet

Cited in 1,010 Documents (2010–2024)
Software Authors: Deng, J.; Dong, W.; Socher, R.; Li, L. J.; Li, K.; Fei-Fei, L.
Related Software: AlexNet; Adam; TensorFlow; …
Main Fields: Statistics (62-XX); Numerical analysis (65-XX); Computer science (68-XX); …

L-BFGS

Cited in 1,037 Documents (1981–2024)
Software Authors: Zhu, Ciyou; Byrd, Richard H.; Lu, Peihuang; Nocedal, Jorge
Related Software: L-BFGS-B; LBFGS-B; CUTEr; …
Main Fields: Calculus of variations and optimal control; optimization (49-XX); Statistics (62-XX); Numerical analysis (65-XX); …

AUTO

Cited in 1,045 Documents (1981–2024)
Software Authors: Doedel; Eusebius; Champneys, Alan; Dercole, Fabio; Fairgrieve, Thomas; Kuznetsov, Yuri; Oldeman, Bart; Paffenroth, Randy; Sandstede, Bjorn; Wang, Xianjun; Zhang, Chenghai
Related Software: AUTO-07P; HomCont; AUTO-86; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Dynamical systems and ergodic theory (37-XX); …

CVX

Cited in 1,036 Documents (2006–2024)
Software Authors: Grant, Michael; Boyd, Stephen
Related Software: SDPT3; SeDuMi; YALMIP; …
Main Fields: Statistics (62-XX); Numerical analysis (65-XX); Computer science (68-XX); …

Scikit

Cited in 791 Documents (2011–2024)
Software Authors: Pedregosa, Fabian; Varoquaux, Gaël; Gramfort, Alexandre; Michel, Vincent; Thirion, Bertrand; Grisel, Olivier; Blondel, Mathieu; Prettenhofer, Peter; Weiss, Ron; Dubourg, Vincent; Vanderplas, Jake; Passos, Alexandre; Cournapeau, David; Brucher, Matthieu; Perrot, Matthieu; Duchesnay, Édouard
Related Software: Python; SciPy; TensorFlow; …
Main Fields: Statistics (62-XX); Numerical analysis (65-XX); Computer science (68-XX); …

PyTorch

Cited in 792 Documents (2018–2024)
Software Authors: Paszke, A.; Gross, S.; Massa, F.; Lerer, A.; Bradbury, J.; Chanan, G.; Killeen, T.; Lin, Z.; Gimelshein, N.; Antiga, L.; Desmaison, A.; Kopf, A.; Yang, E.; DeVito, Z.; Raison, M.; Tejani, A.; Chilamkurthy, S.; Steiner, B.; Fang, L.; Bai, J.; Chintala, S.
Related Software: Adam; TensorFlow; Python; …
Main Fields: Statistics (62-XX); Numerical analysis (65-XX); Computer science (68-XX); …

ARPACK

Cited in 903 Documents (1995–2024)
Software Authors: Lehoucq; Sorensen; Yang
Related Software: eigs; JDQZ; JDQR; …
Main Fields: Linear and multilinear algebra; matrix theory (15-XX); Partial differential equations (35-XX); Numerical analysis (65-XX); …

Julia

Cited in 725 Documents (2014–2024)
Software Authors: Bezanson, J.; Karpinski, S.; Shah, V. B.; Edelman, A.
Related Software: GitHub; JuMP; DifferentialEquations.jl; …
Main Fields: Partial differential equations (35-XX); Statistics (62-XX); Numerical analysis (65-XX); …

AlexNet

Cited in 848 Documents (2014–2024)
Software Authors: Krizhevsky, Alex; Sutskever, Ilya; Hinton, Geoffrey E
Related Software: ImageNet; Adam; TensorFlow; …
Main Fields: Statistics (62-XX); Numerical analysis (65-XX); Computer science (68-XX); …

NumPy

Cited in 474 Documents (2000–2024)
Software Authors: Oliphant, T. E.
Related Software: Python; SciPy; Matplotlib; …
Main Fields: Statistics (62-XX); Numerical analysis (65-XX); Computer science (68-XX); …

MathOverflow

Cited in 827 Documents (2010–2024)
Software Authors: Stack Exchange Inc
Related Software: OEIS; SageMath; GitHub; …
Main Fields: Mathematical logic and foundations (03-XX); Combinatorics (05-XX); Number theory (11-XX); …

minpack

Cited in 801 Documents (1979–2024)
Software Authors: Garbow, B.; Hillstrom, K.; More, J.
Related Software: CUTEr; L-BFGS; HYBRJ; …
Main Fields: Calculus of variations and optimal control; optimization (49-XX); Numerical analysis (65-XX); Mechanics of deformable solids (74-XX); …

SDPT3

Cited in 781 Documents (1986–2024)
Software Authors: Toh, K.C.; Todd, M.J.; Tütüncü, R.H.
Related Software: SeDuMi; YALMIP; CVX; …
Main Fields: Statistics (62-XX); Numerical analysis (65-XX); Computer science (68-XX); …

deal.ii

Cited in 755 Documents (1999–2024)
Software Authors: Bangerth, W.; Hartman, R.; Kanschat, G.
Related Software: Trilinos; PETSc; FEniCS; …
Main Fields: Partial differential equations (35-XX); Calculus of variations and optimal control; optimization (49-XX); Numerical analysis (65-XX); …

PARI/GP

Cited in 769 Documents (1992–2024)
Software Authors: Cohen, Henri; Belabas, Karim; PARI group
Related Software: Magma; SageMath; ecdata; …
Main Fields: Number theory (11-XX); Algebraic geometry (14-XX); Numerical analysis (65-XX); …

mftoolbox

Cited in 772 Documents (2008–2024)
Software Authors: Higham, N. J.
Related Software: mctoolbox; Matlab; MATLAB expm; …
Main Fields: Combinatorics (05-XX); Linear and multilinear algebra; matrix theory (15-XX); Partial differential equations (35-XX); …

REDUCE

Cited in 744 Documents (1970–2024)
Software Authors: Hearn, Anthony C.; Rayna, Gerhard; Schöpf, Rainer; Sturm, Thomas
Related Software: Maple; Mathematica; MACSYMA; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Numerical analysis (65-XX); …

MACSYMA

Cited in 722 Documents (1971–2023)
Software Authors: symbolics
Related Software: Maple; Mathematica; REDUCE; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Computer science (68-XX); …

KELLEY

Cited in 673 Documents (1995–2024)
Software Authors: Kelley, C.T.
Related Software: minpack; L-BFGS; Matlab; …
Main Fields: Partial differential equations (35-XX); Calculus of variations and optimal control; optimization (49-XX); Numerical analysis (65-XX); …

JDQZ

Cited in 653 Documents (1996–2024)
Software Authors: Fokkema, D. R.; Sleijpen, G. L. G.; Vorst, H. A. van der
Related Software: JDQR; ARPACK; eigs; …
Main Fields: Linear and multilinear algebra; matrix theory (15-XX); Partial differential equations (35-XX); Numerical analysis (65-XX); …

FFTW

Cited in 599 Documents (2000–2024)
Software Authors: MIT; Frigo, Matteo; Johnson, Steven G.
Related Software: Matlab; LAPACK; ATLAS; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Computer science (68-XX); …

Eigtool

Cited in 614 Documents (1996–2024)
Software Authors: Wright, Thomas G.; Trefethen, Nick; Embree, Mark
Related Software: ARPACK; Seigtool; Matlab; …
Main Fields: Linear and multilinear algebra; matrix theory (15-XX); Partial differential equations (35-XX); Operator theory (47-XX); …

Mizar

Cited in 562 Documents (1983–2024)
Software Authors: Bancerek, Grzegorz; Bylinski, Czeslaw; Grabowski, Adam; Kornilowicz, Artur; Milewski, Robert; Naumowicz, Adam; Trybulec, Andrzej; Urban, Josef
Related Software: Coq; Isabelle/HOL; HOL Light; …
Main Fields: General and overarching topics; collections (00-XX); Mathematical logic and foundations (03-XX); Number theory (11-XX); …

MATCONT

Cited in 559 Documents (2003–2024)
Software Authors: Dhooge, A.; Sautois, B.; Govaerts, W.; Kuznetsov, Yu.A.
Related Software: AUTO; Matlab; CL_MATCONT; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Dynamical systems and ergodic theory (37-XX); …

Matplotlib

Cited in 329 Documents (2007–2024)
Software Authors: Hunter, John; Dale, Darren; Firing, Eric; Droettboom, Michael; the matplotlib development team
Related Software: NumPy; Python; SciPy; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Computer science (68-XX); …

MPI

Cited in 492 Documents (1990–2024)
Software Authors: Fike, Jeffrey A.; Alonso, Juan J.
Related Software: LAPACK; CUDA; PETSc; …
Main Fields: Numerical analysis (65-XX); Computer science (68-XX); Mechanics of deformable solids (74-XX); …

LINPACK

Cited in 509 Documents (1979–2023)
Software Authors: Department of Mathematics - University of Utah; J. Dongarra, J. Bunch, C. Moler, G. W. Stewart
Related Software: LAPACK; EISPACK; BLAS; …
Main Fields: Linear and multilinear algebra; matrix theory (15-XX); Statistics (62-XX); Numerical analysis (65-XX); …

INTLAB

Cited in 519 Documents (1999–2024)
Software Authors: Rump, Siegfried M.
Related Software: Matlab; mctoolbox; C-XSC 2.0; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Dynamical systems and ergodic theory (37-XX); …

OPQ

Cited in 512 Documents (2004–2024)
Software Authors: Gautschi, Walter
Related Software: Matlab; DLMF; OrthogonalPolynomials; …
Main Fields: Special functions (33-XX); Partial differential equations (35-XX); Approximations and expansions (41-XX); …

BRENT

Cited in 503 Documents (1971–2024)
Software Authors: Brent, Richard; Burkardt, John
Related Software: R; minpack; Matlab; …
Main Fields: Statistics (62-XX); Numerical analysis (65-XX); Mechanics of deformable solids (74-XX); …

MNIST

Cited in 442 Documents (2001–2024)
Software Authors: LeCun, Y.; Cortes, C.; Burges, Christopher J. C.
Related Software: Adam; ImageNet; CIFAR; …
Main Fields: Statistics (62-XX); Numerical analysis (65-XX); Computer science (68-XX); …

UMDES

Cited in 463 Documents (1996–2024)
Software Authors: Cassandras, Christos G.; Lafortune, Stéphane
Related Software: Supremica; TCT; libFAUDES; …
Main Fields: Probability theory and stochastic processes (60-XX); Computer science (68-XX); Operations research, mathematical programming (90-XX); …

FORM

Cited in 446 Documents (1993–2024)
Software Authors: Kuipers, J.; Ueda, T.; Vermaseren, J.A.M.; Vollinga, J.
Related Software: Mincer; Reduze; LiteRed; …
Main Fields: Dynamical systems and ergodic theory (37-XX); Computer science (68-XX); Quantum theory (81-XX); …

NAG

Cited in 423 Documents (1976–2023)
Software Authors: Numerical Algorithms Group
Related Software: nag; Matlab; LAPACK; …
Main Fields: Partial differential equations (35-XX); Statistics (62-XX); Numerical analysis (65-XX); …

MersenneTwister

Cited in 374 Documents (1998–2024)
Software Authors: Matsumoto, Makoto; Nishimura, Takuji
Related Software: TestU01; R; Diehard; …
Main Fields: Probability theory and stochastic processes (60-XX); Statistics (62-XX); Numerical analysis (65-XX); …

Wasserstein GAN

Cited in 346 Documents (2018–2024)
Software Authors: Arjovsky, Martin; Chintala, Soumith; Bottou, Léon
Related Software: Adam; pix2pix; ImageNet; …
Main Fields: Calculus of variations and optimal control; optimization (49-XX); Statistics (62-XX); Numerical analysis (65-XX); …

Octave

Cited in 306 Documents (1992–2024)
Software Authors: Eaton, John W.
Related Software: Matlab; R; Scilab; …
Main Fields: Partial differential equations (35-XX); Statistics (62-XX); Numerical analysis (65-XX); …

Sostools

Cited in 341 Documents (2002–2024)
Software Authors: Prajna, Stephen; Papachristodoulou, Antonis; Seiler, Peter; Parrilo, Pablo A.
Related Software: SeDuMi; YALMIP; GloptiPoly; …
Main Fields: Ordinary differential equations (34-XX); Numerical analysis (65-XX); Computer science (68-XX); …

NewtonLib

Cited in 338 Documents (2001–2024)
Software Authors: Deuflhard, Peter; Weimann, Lutz
Related Software: PETSc; RODAS; Matlab; …
Main Fields: Partial differential equations (35-XX); Calculus of variations and optimal control; optimization (49-XX); Numerical analysis (65-XX); …

nag

Cited in 313 Documents (1979–2022)
Software Authors: Numerical Algorithms Group (NAG)
Related Software: NAG; Matlab; LAPACK; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Statistics (62-XX); …

INTOPT_90

Cited in 311 Documents (1996–2024)
Software Authors: Kearfott, R.Baker
Related Software: INTLAB; C-XSC; PROFIL/BIAS; …
Main Fields: Ordinary differential equations (34-XX); Numerical analysis (65-XX); Computer science (68-XX); …

GSL

Cited in 282 Documents (2002–2024)
Software Authors: Free Software Foundation; Galassi, M.; Davies, J.; Theiler, J.; Gough, B.; Jungman, G.; Alken, P.; Booth, M.; Rossi, F.
Related Software: R; LAPACK; PETSc; …
Main Fields: Statistics (62-XX); Numerical analysis (65-XX); Fluid mechanics (76-XX); …

LMFDB

Cited in 296 Documents (2014–2024)
Software Authors: http://www.lmfdb.org/acknowledgment
Related Software: Magma; SageMath; GitHub; …
Main Fields: Number theory (11-XX); Algebraic geometry (14-XX); Special functions (33-XX); …

PERL

Cited in 235 Documents (1992–2024)
Software Authors: Wall, Larry
Related Software: TTTPLOTS; Python; GRASP; …
Main Fields: Combinatorics (05-XX); Numerical analysis (65-XX); Computer science (68-XX); …

MPFR

Cited in 260 Documents (2001–2024)
Software Authors: Hanrot, Guillaume; Lefèvre, Vincent; Pélissier, Patrick; Théveny, Philippe; Zimmermann, Paul
Related Software: gmp; Mathematica; mctoolbox; …
Main Fields: Number theory (11-XX); Partial differential equations (35-XX); Dynamical systems and ergodic theory (37-XX); …

FGb

Cited in 252 Documents (1998–2023)
Software Authors: Faugère, J. C.
Related Software: Magma; SINGULAR; Maple; …
Main Fields: Number theory (11-XX); Commutative algebra (13-XX); Algebraic geometry (14-XX); …

SymPy

Cited in 200 Documents (2010–2024)
Software Authors: SymPy Development Team; Joyner, David; Čertík, Ondřej; Meurer, Aaron; Granger, Brian E.
Related Software: Python; NumPy; SciPy; …
Main Fields: Numerical analysis (65-XX); Computer science (68-XX); Fluid mechanics (76-XX); …

ISOLATE

Cited in 240 Documents (1999–2024)
Software Authors: Rouillier, Fabrice; Zimmermann, Paul
Related Software: Kronecker; FGb; Maple; …
Main Fields: Field theory and polynomials (12-XX); Commutative algebra (13-XX); Algebraic geometry (14-XX); …

LOQO

Cited in 211 Documents (1994–2023)
Software Authors: Vanderbei, Robert J.
Related Software: Ipopt; AMPL; MINOS; …
Main Fields: Calculus of variations and optimal control; optimization (49-XX); Statistics (62-XX); Numerical analysis (65-XX); …

Maxima

Cited in 175 Documents (1998–2024)
Software Authors: Schelter, William
Related Software: Mathematica; SageMath; Maple; …
Main Fields: Group theory and generalizations (20-XX); Numerical analysis (65-XX); Computer science (68-XX); …

Dynamics

Cited in 186 Documents (1994–2022)
Software Authors: Nusse, Helena E.; Yorke, James A.
Related Software: AUTO; HomCont; Mathematica; …
Main Fields: Ordinary differential equations (34-XX); Dynamical systems and ergodic theory (37-XX); Mechanics of particles and systems (70-XX); …

Manopt

Cited in 176 Documents (2013–2024)
Software Authors: Boumal, Nicolas; Mishra, Bamdev; Absil, P. A.; Sepulchre, Rodolphe
Related Software: RTRMC; Pymanopt; Matlab; …
Main Fields: Linear and multilinear algebra; matrix theory (15-XX); Differential geometry (53-XX); Statistics (62-XX); …

Book3264Examples

Cited in 169 Documents (2015–2024)
Software Authors: Charley Crissman; Eisenbud, David; Harris, Joe
Related Software: Macaulay2; GitHub; HomotopyContinuation; …
Main Fields: Combinatorics (05-XX); Commutative algebra (13-XX); Algebraic geometry (14-XX); …

gfun

Cited in 159 Documents (1992–2024)
Software Authors: Salvy, B.; Zimmermann, P.
Related Software: Maple; OEIS; GeneratingFunctions; …
Main Fields: Combinatorics (05-XX); Number theory (11-XX); Special functions (33-XX); …

GradSamp

Cited in 145 Documents (2005–2024)
Software Authors: Burke, James V.; Lewis, Adrian S.; Overton, Michael L.
Related Software: DGM; LDGB; PNEW; …
Main Fields: Calculus of variations and optimal control; optimization (49-XX); Statistics (62-XX); Numerical analysis (65-XX); …

SIGMA

Cited in 130 Documents (2004–2024)
Software Authors: Schneider, Carsten
Related Software: EvaluateMultiSums; qZeil; HarmonicSums; …
Main Fields: Combinatorics (05-XX); Number theory (11-XX); Special functions (33-XX); …

CirclePack

Cited in 128 Documents (2005–2024)
Software Authors: Stephenson, Ken
Related Software: Schwarz-Christoffel; SC Toolbox; SageMath; …
Main Fields: Combinatorics (05-XX); Functions of a complex variable (30-XX); Convex and discrete geometry (52-XX); …

Risa/Asir

Cited in 124 Documents (1992–2024)
Software Authors: Masayuki Noro, Kazuhiro Yokoyama, Taku Takeshima, Takeshi Shimoyama, Hiroshi Anai, Takayuki Kando, Tomokatsu Saito, Yuji Kondoh, Hirokazu Murao, Thomas Sturm, Katsuyoshi Ohara, Nobuki Takayama, (who committed to fundamental design, kernel sources and core libraries). As to committers of libraries and very recent contributors, see also http://www.math.kobe-u.ac.jp/OpenXM/people.html Fujitsu laboratory or asir.org or Kobe university.
Related Software: SINGULAR; Macaulay2; Kan; …
Main Fields: Commutative algebra (13-XX); Algebraic geometry (14-XX); Several complex variables and analytic spaces (32-XX); …

CASA

Cited in 123 Documents (1991–2024)
Software Authors: Gebauer, R.; Kalkbrener, M.; Wall, B.; Winkler, F.
Related Software: Maple; Mathematica; Magma; …
Main Fields: Commutative algebra (13-XX); Algebraic geometry (14-XX); Ordinary differential equations (34-XX); …

ROBBINS

Cited in 123 Documents (1995–2024)
Software Authors: Zeilberger, Doron
Related Software: SageMath; OEIS; DODGSON; …
Main Fields: Combinatorics (05-XX); Linear and multilinear algebra; matrix theory (15-XX); Special functions (33-XX); …

eSTREAM

Cited in 120 Documents (2006–2023)
Software Authors: Cannire, C.D.
Related Software: Trivium; Grain; MICKEY; …
Main Fields: Combinatorics (05-XX); Number theory (11-XX); Numerical analysis (65-XX); …

SumTools

Cited in 120 Documents (1995–2023)
Software Authors: Koepf, Wolfram
Related Software: Maple; DLMF; retode; …
Main Fields: Combinatorics (05-XX); Number theory (11-XX); Special functions (33-XX); …

Knot Atlas

Cited in 111 Documents (2005–2024)
Software Authors: Bar-Natan, Dror; Morrison, Scott
Related Software: KnotInfo; Khoho; Knotscape; …
Main Fields: Combinatorics (05-XX); Group theory and generalizations (20-XX); Manifolds and cell complexes (57-XX); …

Grain

Cited in 107 Documents (2009–2023)
Software Authors: Hell, M.; Johansson, T.; Meier, W.
Related Software: Trivium; eSTREAM; MICKEY; …
Main Fields: Combinatorics (05-XX); Number theory (11-XX); Computer science (68-XX); …

Trivium

Cited in 102 Documents (2006–2023)
Software Authors: Khazaei, Shahram; Hassanzadeh, Mehdi; Canniere, Christophe De; Preneel, Bart
Related Software: Grain; eSTREAM; KTANTAN; …
Main Fields: Number theory (11-XX); Commutative algebra (13-XX); Computer science (68-XX); …

Algorithm 862

Cited in 91 Documents (2006–2024)
Software Authors: Bader, Brett W.; Kolda, Tamara G.
Related Software: TensorToolbox; Matlab; Tensorlab; …
Main Fields: Linear and multilinear algebra; matrix theory (15-XX); Statistics (62-XX); Numerical analysis (65-XX); …

mpmath

Cited in 79 Documents (2010–2024)
Software Authors: Johansson, Fredrik
Related Software: SciPy; SageMath; DLMF; …
Main Fields: Number theory (11-XX); Special functions (33-XX); Numerical analysis (65-XX); …

Hypexp

Cited in 81 Documents (2006–2024)
Software Authors: T. Huber, D. Maî tre
Related Software: HPL; Nestedsums; XSummer; …
Main Fields: Special functions (33-XX); Approximations and expansions (41-XX); Numerical analysis (65-XX); …

RSOLVER

Cited in 78 Documents (2003–2023)
Software Authors: Ratschan, Stefan
Related Software: HSolver; Benchmarks; QEPCAD; …
Main Fields: Mathematical logic and foundations (03-XX); Numerical analysis (65-XX); Computer science (68-XX); …

primdec

Cited in 80 Documents (2005–2023)
Software Authors: Decker, W.; Laplagne, S.; Pfister, G.; Schönemann, H. A.
Related Software: SINGULAR; FGb; Mathematica; …
Main Fields: Commutative algebra (13-XX); Algebraic geometry (14-XX); Ordinary differential equations (34-XX); …

CAPD

Cited in 79 Documents (2005–2024)
Software Authors: Grzegorz Jablonski; Kapela, T., Mrozek, M., Pilarczyk, P., Wilczak, D., Zgliczyński, P.
Related Software: RODES; Taylor; INTLAB; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Dynamical systems and ergodic theory (37-XX); …

HarmonicSums

Cited in 78 Documents (2009–2024)
Software Authors: Ablinger, Jakob; Blümlein, Johannes; Schneider, Carsten
Related Software: FORM; EvaluateMultiSums; SIGMA; …
Main Fields: Number theory (11-XX); Special functions (33-XX); Computer science (68-XX); …

DAISY

Cited in 72 Documents (2008–2024)
Software Authors: Bellu, Giuseppina; Saccomani, Maria Pia; Audoly, Stefania; Angiò, Leontina D
Related Software: SIAN; COMBOS; GenSSI; …
Main Fields: Commutative algebra (13-XX); Ordinary differential equations (34-XX); Statistics (62-XX); …

DERIVE

Cited in 51 Documents (1991–2023)
Software Authors: Kutzler, Bernhard; Wall, Bernhard; Winkler, Franz
Related Software: Mathematica; Maple; MACSYMA; …
Main Fields: General and overarching topics; collections (00-XX); Linear and multilinear algebra; matrix theory (15-XX); Numerical analysis (65-XX); …

HolonomicFunctions

Cited in 69 Documents (2009–2024)
Software Authors: Koutschan, Christoph
Related Software: Mathematica; SINGULAR; OEIS; …
Main Fields: Combinatorics (05-XX); Number theory (11-XX); Special functions (33-XX); …

SYMMGRP.MAX

Cited in 73 Documents (1991–2023)
Software Authors: Champagne, B.; Hereman, W.; Winternitz, P.
Related Software: SYMMGRP; diffgrob2; LIE; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Dynamical systems and ergodic theory (37-XX); …

DISCOVERER

Cited in 69 Documents (1999–2023)
Software Authors: Xia, B.
Related Software: QEPCAD; Maple; REDLOG; …
Main Fields: Algebraic geometry (14-XX); Ordinary differential equations (34-XX); Numerical analysis (65-XX); …

PSEUDO

Cited in 71 Documents (2004–2023)
Software Authors: Brunelli, J. C.
Related Software: Mathematica; AXIOM; SuSy 2; …
Main Fields: Partial differential equations (35-XX); Dynamical systems and ergodic theory (37-XX); Numerical analysis (65-XX); …

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