×

Found 981 Software Packages (Results 1–100)

PETSc

Software Authors:   S. Balay, W.D. Gropp, L.C. McInnes, B.F. Smith
Cited in: 1,589 Publications (1996–2023)
Related Software: FEniCS; MUMPS; hypre; SLEPc; Trilinos; Gmsh; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Mechanics of deformable solids (74-XX)

FreeFem++

Software Authors:   Olivier Pironneau, Frédéric Hecht, Antoine Le Hyaric, Jacques Morice
Cited in: 1,398 Publications (2000–2022)
Related Software: FEniCS; PETSc; UMFPACK; deal.ii; Gmsh; MUMPS; …
Main Fields: Partial differential equations (35-XX); Calculus of variations and optimal control; optimization (49-XX); Numerical analysis (65-XX)

AUTO

Software Authors:   Doedel, Eusebius, Alan Champneys, Fabio Dercole, Thomas Fairgrieve, Yuri Kuznetsov, Bart Oldeman, Randy Paffenroth, Bjorn Sandstede, Xianjun Wang, and Chenghai Zhang
Cited in: 951 Publications (1981–2022)
Related Software: AUTO-07P; HomCont; AUTO-86; MATCONT; XPPAUT; Matlab; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Dynamical systems and ergodic theory (37-XX)

FEniCS

Software Authors:   Simula Research Laboratory, University of Cambridge, University of Chicago, Texas Tech University and KTH Royal Institute of Technology
Cited in: 843 Publications (2007–2022)
Related Software: SyFi; PETSc; DOLFIN; Gmsh; Python; deal.ii; …
Main Fields: Partial differential equations (35-XX); Calculus of variations and optimal control; optimization (49-XX); Numerical analysis (65-XX)

deal.ii

Software Authors:   Bangerth W, Hartman R, Kanschat G
Cited in: 634 Publications (1999–2022)
Related Software: Trilinos; PETSc; p4est; FEniCS; UMFPACK; FreeFem++; …
Main Fields: Partial differential equations (35-XX); Calculus of variations and optimal control; optimization (49-XX); Numerical analysis (65-XX)

XPPAUT

Software Authors:   Bard Ermentrout; Mohammad Imtiaz; Rob Clewley; Jakub Nowacki
Cited in: 450 Publications (1998–2022)
Related Software: AUTO; Matlab; MATCONT; AUTO-07P; DDE-BIFTOOL; Maple; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Dynamical systems and ergodic theory (37-XX)

COMSOL

Software Authors:   COMSOL Inc.
Cited in: 441 Publications (2000–2022)
Related Software: Matlab; Python; Gmsh; FEniCS; OpenFOAM; ABAQUS; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Mechanics of deformable solids (74-XX)

MATCONT

Software Authors:   Dhooge, A.; Sautois, B.; Govaerts, W.; Kuznetsov, Yu.A.
Cited in: 453 Publications (2003–2022)
Related Software: AUTO; Matlab; CL_MATCONT; HomCont; AUTO-07P; XPPAUT; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Dynamical systems and ergodic theory (37-XX)

Chebfun

Software Authors:   ChebfunTeam; A Driscoll, N. Hale, L. N. Trefethen
Cited in: 427 Publications (2004–2022)
Related Software: Matlab; DLMF; Chebfun2; mctoolbox; GitHub; chebop; …
Main Fields: Linear and multilinear algebra; matrix theory (15-XX); Ordinary differential equations (34-XX); Partial differential equations (35-XX)

Gerris

Software Authors:   Popinet, Stéphane
Cited in: 356 Publications (2000–2022)
Related Software: PROST; SLIC; Basilisk; KRAKEN; p4est; PETSc; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Mechanics of deformable solids (74-XX)

Ode15s

Software Authors:   mathworks
Cited in: 347 Publications (1995–2022)
Related Software: Matlab; MATLAB ODE suite; ode23s; ode23; ode113; ode45; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Numerical analysis (65-XX)

DDE-BIFTOOL

Software Authors:   Engelborghs, K.; Luzyanina, T.; Roose, D.
Cited in: 344 Publications (2000–2022)
Related Software: Matlab; MATCONT; AUTO; Knut; PDDE-CONT; XPPAUT; …
Main Fields: Ordinary differential equations (34-XX); Dynamical systems and ergodic theory (37-XX); Numerical analysis (65-XX)

ode23

Software Authors:   MathWorks, Inc
Cited in: 340 Publications (1995–2023)
Related Software: Matlab; MATLAB ODE suite; ode45; ode23s; ode113; Ode15s; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Numerical analysis (65-XX)

ode45

Software Authors:   mathworks
Cited in: 337 Publications (1995–2023)
Related Software: Matlab; ode23; MATLAB ODE suite; ode23s; ode113; Ode15s; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Numerical analysis (65-XX)

FODE

Software Authors:   Deng, Weihua
Cited in: 329 Publications (2007–2022)
Related Software: ma2dfc; Matlab; Fractional Order Chaotic Systems; FracPECE; Mittag-Leffler; RODAS; …
Main Fields: Real functions (26-XX); Ordinary differential equations (34-XX); Partial differential equations (35-XX)

bvp4c

Software Authors:   Mathworks
Cited in: 316 Publications (2001–2022)
Related Software: Matlab; MATLAB ODE suite; Ode15s; ode23; ode45; ode23s; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Numerical analysis (65-XX)

Octave

Software Authors:   John W. Eaton
Cited in: 277 Publications (1992–2022)
Related Software: Matlab; R; Scilab; Python; Mathematica; SciPy; …
Main Fields: Partial differential equations (35-XX); Statistics (62-XX); Numerical analysis (65-XX)

ode113

Software Authors:   The MathWorks, Inc
Cited in: 312 Publications (1995–2022)
Related Software: MATLAB ODE suite; Matlab; ode23s; ode45; ode23; Ode15s; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Numerical analysis (65-XX)

ode23s

Software Authors:   mathworks
Cited in: 310 Publications (1995–2022)
Related Software: ode23; MATLAB ODE suite; ode113; Ode15s; ode45; Matlab; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Numerical analysis (65-XX)

AUTO-07P

Software Authors:   Eusebius J. Doedel, Alan R. Champneys, Thomas Fairgrieve, Yuri Kuznetsov, Bart Oldeman, Randy Paffenroth, Björn Sandstede, Xianjun Wang, Chenghai Zhang
Cited in: 284 Publications (2009–2022)
Related Software: AUTO; MATCONT; HomCont; XPPAUT; Matlab; COCO; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Dynamical systems and ergodic theory (37-XX)

AUTO-86

Software Authors:   Alan Champneys, Fabio Dercole, Thomas Fairgrieve, Yuri Kuznetsov, Bart Oldeman, Randy Paffenroth, Bjorn Sandstede, Xianjun Wang, and Chenghai Zhang
Cited in: 278 Publications (1987–2021)
Related Software: AUTO; PITCON; DSTool; HomCont; MATCONT; Mathematica; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Dynamical systems and ergodic theory (37-XX)

redbKIT

Software Authors:   Quarteroni, Alfio; Manzoni, Andrea; Negri, Federico
Cited in: 272 Publications (2014–2022)
Related Software: rbMIT; GitHub; Adam; FEniCS; Loewner; FreeFem++; …
Main Fields: Partial differential equations (35-XX); Statistics (62-XX); Numerical analysis (65-XX)

PITCON

Software Authors:   Werner Rheinboldt; John Burkardt
Cited in: 258 Publications (1984–2022)
Related Software: HOMPACK; AUTO-86; AUTO; ALCON; RODAS; DSTool; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Numerical analysis (65-XX)

Differentiation Matrix Suite

Software Authors:   Weideman, J. A. C.; Reddy, S. C
Cited in: 259 Publications (2000–2022)
Related Software: Matlab; Chebfun; Eigtool; DLMF; LAPACK; bvp4c; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Numerical analysis (65-XX)

CutFEM

Software Authors:   Burman, E., Claus, S., Hansbo, P., Larson, M.G., Massing, A.
Cited in: 219 Publications (2014–2023)
Related Software: IIMPACK; FEniCS; PETSc; NGSolve; XFEM; deal.ii; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Mechanics of deformable solids (74-XX)

BVPh

Software Authors:   Liao, Shijun
Cited in: 219 Publications (2008–2022)
Related Software: Matlab; Mathematica; bvp4c; Adam; minpack; NewtonLib; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Numerical analysis (65-XX)

PLTMG

Software Authors:   Randolph E. Bank; University of California
Cited in: 213 Publications (1990–2022)
Related Software: UG; deal.ii; PETSc; Kaskade7; Matlab; ALBERTA; …
Main Fields: Partial differential equations (35-XX); Calculus of variations and optimal control; optimization (49-XX); Numerical analysis (65-XX)

VODE

Software Authors:   Brown, Peter N.; Byrne, George D.; Hindmarsh, Alan C.
Cited in: 210 Publications (1989–2022)
Related Software: RODAS; CHEMKIN; LSODE; Matlab; DASSL; ODEPACK; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Numerical analysis (65-XX)

DOLFIN

Software Authors:   Anders Logg, Johan Hoffman, Garth N. Wells, Johan Jansson, Ola Skavhaug, Kent-Andre Mardal, Martin Sandve Alnes, Johan Hake, Niclas Jansson, Johannes Ring, Kristian B. Ølgaard, Marie Rognes
Cited in: 194 Publications (2004–2022)
Related Software: FEniCS; PETSc; UFL; Python; deal.ii; SyFi; …
Main Fields: Partial differential equations (35-XX); Calculus of variations and optimal control; optimization (49-XX); Numerical analysis (65-XX)

DGM

Software Authors:   Sirignano, Justin; Spiliopoulos, Konstantinos
Cited in: 203 Publications (2017–2022)
Related Software: Adam; TensorFlow; PyTorch; PDE-Net; DeepXDE; FPINNs; …
Main Fields: Partial differential equations (35-XX); Probability theory and stochastic processes (60-XX); Numerical analysis (65-XX)

Expokit

Software Authors:   Sidje, Roger B.
Cited in: 197 Publications (1998–2022)
Related Software: Algorithm 919; phipm; MATLAB expm; mftoolbox; Matlab; Expint; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Probability theory and stochastic processes (60-XX)

DUNE

Software Authors:   P. Bastian, M. Blatt, A. Dedner, C. Engwer, R. Klöfkorn, R. Kornhuber, M. Ohlberger, O. Sander
Cited in: 179 Publications (2006–2023)
Related Software: PDELab; deal.ii; UG; DuMuX; PETSc; Gmsh; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Mechanics of deformable solids (74-XX)

UG

Software Authors:   Bastian, P.; Birken, K.; Johannsen, K.; Lang, S.; Neuß, N.; Rentz-Reichert, H.; Wieners, C.
Cited in: 177 Publications (1994–2021)
Related Software: DUNE; PETSc; PLTMG; deal.ii; UMFPACK; Diffpack; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Mechanics of deformable solids (74-XX)

Dynamics

Software Authors:   Nusse, Helena E.; Yorke, James A.
Cited in: 182 Publications (1994–2022)
Related Software: AUTO; HomCont; Mathematica; DSTool; DMC; TISEAN; …
Main Fields: Ordinary differential equations (34-XX); Dynamical systems and ergodic theory (37-XX); Mechanics of particles and systems (70-XX)

Maxima

Software Authors:   William Schelter
Cited in: 161 Publications (1998–2022)
Related Software: Mathematica; SageMath; Maple; R; GAP; GeoGebra; …
Main Fields: Algebraic geometry (14-XX); Numerical analysis (65-XX); Computer science (68-XX)

dde23

Software Authors:   mathworks; Kierzenka, J.; L.F. Shampine; S. Thompson
Cited in: 176 Publications (2001–2022)
Related Software: Matlab; DDE-BIFTOOL; MATLAB ODE suite; bvp4c; Ode15s; ode45; …
Main Fields: Ordinary differential equations (34-XX); Dynamical systems and ergodic theory (37-XX); Numerical analysis (65-XX)

libMesh

Software Authors:   B. S. Kirk, J. W. Peterson, R. H. Stogner, and G. F. Carey
Cited in: 146 Publications (2004–2022)
Related Software: PETSc; deal.ii; FEniCS; Trilinos; Gmsh; FreeFem++; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Mechanics of deformable solids (74-XX)

gfun

Software Authors:   B. Salvy; P. Zimmermann
Cited in: 142 Publications (1992–2022)
Related Software: Maple; OEIS; GeneratingFunctions; Mathematica; SIGMA; DLMF; …
Main Fields: Combinatorics (05-XX); Number theory (11-XX); Special functions (33-XX)

LSODE

Software Authors:   Alan C. Hindmarsh
Cited in: 136 Publications (1983–2022)
Related Software: VODE; DASSL; RODAS; ODEPACK; DIFSUB; Matlab; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Numerical analysis (65-XX)

ELLPACK

Software Authors:   Dyksen, Wayne R.; Ribbens, Calvin J.
Cited in: 128 Publications (1982–2015)
Related Software: NSPCG; ITPACK; EISPACK; LAPACK; LINPACK; PELLPACK; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Computer science (68-XX)

RKC

Software Authors:   Sommeijer, B.P.; Shampine, L.F.; Verwer, J.G.
Cited in: 129 Publications (1996–2023)
Related Software: RODAS; VODE; S-ROCK; IRKC; SERK2; Matlab; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Numerical analysis (65-XX)

Modelica

Software Authors:   Yebra, L.J.; Berenguel, M.; Dormido, S.; Zarza, E.
Cited in: 114 Publications (2000–2022)
Related Software: Dymola; Matlab; OpenModelica; Simulink; JModelica; RODAS; …
Main Fields: Ordinary differential equations (34-XX); Numerical analysis (65-XX); Computer science (68-XX)

GeoPDEs

Software Authors:   de Falco, C.; Reali, A.; Vázquez, R.
Cited in: 125 Publications (2011–2022)
Related Software: ISOGAT; IETI; PetIGA; Igatools; Matlab; NURBS; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Mechanics of deformable solids (74-XX)

Firedrake

Software Authors:   Robert C. Kirby, Florian Rathgeber, David A. Ham, Lawrence Mitchell, Michael Lange, Fabio Luporini, Andrew T. T. McRae, Gheorghe-Teodor Bercea, Graham R. Markall, Paul H. J. Kelly
Cited in: 116 Publications (2016–2022)
Related Software: PETSc; FEniCS; UFL; Gmsh; petsc4py; TSFC; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Mechanics of deformable solids (74-XX)

HOMPACK

Software Authors:   Watson, Layne T.; Billups, Stephen C.; Morgan, Alexander P.
Cited in: 121 Publications (1987–2020)
Related Software: PITCON; HOMPACK90; minpack; Matlab; PHCpack; Bertini; …
Main Fields: Numerical analysis (65-XX); Mechanics of deformable solids (74-XX); Operations research, mathematical programming (90-XX)

SYMMGRP

Software Authors:   Hereman, Willy; B. Champagne; P. Winternitz
Cited in: 120 Publications (1993–2022)
Related Software: Maple; SYMMGRP.MAX; LIE; diffgrob2; DIMSYM; Mathematica; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Dynamical systems and ergodic theory (37-XX)

BEMECH

Software Authors:   Gao, Xiao-Wei; Davies, Trevor G.
Cited in: 119 Publications (2002–2022)
Related Software: RIM_DOM.F90; GeoPDEs; BDEM; ISOGAT; Mfree2D; INSANE; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Mechanics of deformable solids (74-XX)

CMPGRD

Software Authors:   Chesshire, G.; Henshaw, W.D.
Cited in: 118 Publications (1990–2022)
Related Software: Ogen; OVERFLOW; Overture; PETSc; SUGGAR++; HLLE; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Mechanics of deformable solids (74-XX)

Diffpack

Software Authors:   Bruaset, Are Magnus; Langtangen, Hans Petter
Cited in: 111 Publications (1996–2021)
Related Software: PETSc; LAPACK; UG; deal.ii; SCIRun; Matlab; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Computer science (68-XX)

DIFSUB

Software Authors:   Gear
Cited in: 105 Publications (1973–2020)
Related Software: GEAR; VODE; LSODE; DASSL; RODAS; MEBDF; …
Main Fields: Ordinary differential equations (34-XX); Numerical analysis (65-XX); Fluid mechanics (76-XX)

Nektar++

Software Authors:   King, James; Yakovlev, Sergey; Fu, Zhisong; Kirby, Robert M.; Sherwin, Spencer J.
Cited in: 104 Publications (2004–2022)
Related Software: Gmsh; Nek5000; deal.ii; PETSc; PyFR; Matlab; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Computer science (68-XX)

DSTool

Software Authors:   J Guckenheimer, BA Meloon, MR Myers, FJ Wicklin, Michael Patra
Cited in: 104 Publications (1992–2022)
Related Software: AUTO; AUTO-86; HomCont; PITCON; MATCONT; LOCBIF; …
Main Fields: Ordinary differential equations (34-XX); Dynamical systems and ergodic theory (37-XX); Numerical analysis (65-XX)

FISHPAK

Software Authors:   Adams, J., Swarztrauber, P., Sweet, R
Cited in: 102 Publications (1979–2022)
Related Software: IIMPACK; MUDPACK-2; MUDPACK; Matlab; LAPACK; FFTW; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Mechanics of deformable solids (74-XX)

Taylor

Software Authors:   Jorba, Àngel; Zou, Maorong
Cited in: 102 Publications (2003–2022)
Related Software: ATOMFT; TIDES; RODES; Mathematica; Cosy; MPFR; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Dynamical systems and ergodic theory (37-XX)

GeM

Software Authors:   Alexei F. Cheviakov
Cited in: 101 Publications (1990–2022)
Related Software: Maple; CRACK; LIEPDE; ConLaw; SYMMGRP; SADE; …
Main Fields: Partial differential equations (35-XX); Dynamical systems and ergodic theory (37-XX); Computer science (68-XX)

GPOPS

Software Authors:   Rao AV, Benson DA, Huntington GT, Francolin C, Darby CL, Patterson MA
Cited in: 91 Publications (2010–2022)
Related Software: Matlab; SOCS; SNOPT; Ipopt; OTIS; ACADO; …
Main Fields: Calculus of variations and optimal control; optimization (49-XX); Numerical analysis (65-XX); Operations research, mathematical programming (90-XX)

Mittag-Leffler

Software Authors:   Igor Podlubny
Cited in: 93 Publications (2007–2022)
Related Software: mlf; Matlab; ML; ma2dfc; mlrnd; mftoolbox; …
Main Fields: Real functions (26-XX); Special functions (33-XX); Ordinary differential equations (34-XX)

LiteRed

Software Authors:   R. Lee
Cited in: 74 Publications (2013–2022)
Related Software: FIRE; FIRE5; Reduze; FORM; FIESTA; AIR; …
Main Fields: Algebraic geometry (14-XX); Global analysis, analysis on manifolds (58-XX); Mechanics of particles and systems (70-XX)

MEBDF

Software Authors:   Abdulla, T.J.; Cash, J.R.; Diamantakis, M.T.
Cited in: 88 Publications (1983–2022)
Related Software: RODAS; DASSL; A-EBDF; VODE; LSODE; RKC; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Numerical analysis (65-XX)

hlib

Software Authors:   Steffen Börm; Lars Grasedyck; Max-Planck-Institut Leipzig
Cited in: 84 Publications (2005–2022)
Related Software: STRUMPACK; BEM++; mctoolbox; George; GitHub; H2Lib; …
Main Fields: Linear and multilinear algebra; matrix theory (15-XX); Partial differential equations (35-XX); Integral equations (45-XX)

LIE

Software Authors:   Head, A.K.
Cited in: 82 Publications (1993–2022)
Related Software: DIMSYM; SYMMGRP; REDUCE; SYM; Mathematica; SYMMGRP.MAX; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Global analysis, analysis on manifolds (58-XX)

FracPECE

Software Authors:   K. Diethelm, A.D. Freed
Cited in: 76 Publications (2004–2022)
Related Software: Matlab; FDE12; Sprott's Software; FODE; DFOC; sysdfod; …
Main Fields: Real functions (26-XX); Ordinary differential equations (34-XX); Dynamical systems and ergodic theory (37-XX)

NSDTST

Software Authors:   Enright, W.H.; Pryce, J.D.
Cited in: 80 Publications (1985–2022)
Related Software: STDTST; RODAS; Mathematica; MEBDF; dverk; Matlab; …
Main Fields: History and biography (01-XX); Ordinary differential equations (34-XX); Numerical analysis (65-XX)

STDTST

Software Authors:   Enright, W.H.; Pryce, J.D.
Cited in: 80 Publications (1985–2022)
Related Software: NSDTST; RODAS; Mathematica; MEBDF; dverk; Matlab; …
Main Fields: History and biography (01-XX); Ordinary differential equations (34-XX); Numerical analysis (65-XX)

UFL

Software Authors:   Alnæs, Martin S.; Logg, Anders; Ølgaard, Kristian B.; Rognes, Marie E.; Wells, Garth N.
Cited in: 73 Publications (2010–2022)
Related Software: FEniCS; PETSc; Firedrake; DOLFIN; petsc4py; SyFi; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Computer science (68-XX)

Sinc-Pack

Software Authors:   Stenger, Frank
Cited in: 77 Publications (1997–2022)
Related Software: Matlab; FFTW; Chebfun; DLMF; Mathematica; Differentiation Matrix Suite; …
Main Fields: Partial differential equations (35-XX); Approximations and expansions (41-XX); Harmonic analysis on Euclidean spaces (42-XX)

RSOLVER

Software Authors:   Stefan Ratschan
Cited in: 72 Publications (2003–2021)
Related Software: HSolver; Benchmarks; QEPCAD; HyTech; PHAVer; REDLOG; …
Main Fields: Mathematical logic and foundations (03-XX); Numerical analysis (65-XX); Computer science (68-XX)

DIMSYM

Software Authors:   James Sherring; Geoff Prince; Michael Jerie
Cited in: 74 Publications (1993–2021)
Related Software: LIE; REDUCE; SYMMGRP; SPDE; CRACK; LIEPDE; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Dynamical systems and ergodic theory (37-XX)

DeepXDE

Software Authors:   Lu Lu, Xuhui Meng, Zhiping Mao, George E. Karniadakis
Cited in: 71 Publications (2019–2022)
Related Software: Adam; DGM; PyTorch; FPINNs; DiffSharp; TensorFlow; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Computer science (68-XX)

CasADi

Software Authors:   Andersson, Joel; Åkesson, Johan; Diehl, Moritz
Cited in: 66 Publications (2012–2022)
Related Software: Ipopt; ACADO; qpOASES; Matlab; SUNDIALS; ADOL-C; …
Main Fields: Calculus of variations and optimal control; optimization (49-XX); Numerical analysis (65-XX); Operations research, mathematical programming (90-XX)

Chombo

Software Authors:   Colella, P., Graves, D.T., Ligocki, T.J., Martin, D.F., Modiano, D., Serafini, D.B., Straalen, B.V.; ANAG
Cited in: 65 Publications (2002–2022)
Related Software: PARAMESH; p4est; SAMRAI; Cactus; Carpet; FLASH; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Computer science (68-XX)

deSolve

Software Authors:   Karline Soetaert, Thomas Petzoldt, R. Woodrow Setzer
Cited in: 53 Publications (2009–2022)
Related Software: R; diffEq; RootSolve; FME; ODEPACK; BvpSolve; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Statistics (62-XX)

SYMMGRP.MAX

Software Authors:   Champagne, B.; Hereman, W.; Winternitz, P.
Cited in: 72 Publications (1991–2019)
Related Software: SYMMGRP; diffgrob2; LIE; Maple; SPDE; CRACK; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Dynamical systems and ergodic theory (37-XX)

Algorithm 919

Software Authors:   Jitse Niesen; Will M. Wright
Cited in: 71 Publications (2011–2022)
Related Software: phipm; Expokit; mftoolbox; MATLAB expm; KIOPS; Expint; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Numerical analysis (65-XX)

Fluid flow phenomena

Software Authors:   Orlandi, Paolo
Cited in: 71 Publications (1999–2022)
Related Software: FFTW; CaNS; 2DECOMP; incompact3d; Spalart-Allmaras; AFiD_GPU; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Mechanics of deformable solids (74-XX)

CL_MATCONT

Software Authors:   W. Govaerts; Yu.A. Kuznetsov
Cited in: 69 Publications (2003–2022)
Related Software: MATCONT; Matlab; AUTO; HomCont; CL_MATCONTL; AUTO2000; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Dynamical systems and ergodic theory (37-XX)

SYM

Software Authors:   S. Dimas; D. Tsoubelis
Cited in: 69 Publications (2008–2022)
Related Software: LIE; Mathematica; SYMMGRP; REDUCE; GeM; SYMMGRP.MAX; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Dynamical systems and ergodic theory (37-XX)

PDESpecialSolutions

Software Authors:   Baldwin, D.; Göktaş, Ü.; Hereman, W.; Hong, L.; Martino, R.S.; Miller, J.C.
Cited in: 65 Publications (2004–2022)
Related Software: ATFM; RATH; Maple; MACSYMA; RAEEM; PDERecursionOperator; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Dynamical systems and ergodic theory (37-XX)

PetIGA

Software Authors:   L. Dalcin, N. Collier, P. Vignal, A.M.A. Côrtes, V.M. Calo
Cited in: 65 Publications (2014–2022)
Related Software: PETSc; GeoPDEs; MUMPS; Igatools; PetIGA-MF; FEniCS; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Mechanics of deformable solids (74-XX)

sde

Software Authors:   Stefano Maria Iacus
Cited in: 60 Publications (2008–2022)
Related Software: R; fda (R); YUIMA; knitr; Julia; rgl; …
Main Fields: Partial differential equations (35-XX); Probability theory and stochastic processes (60-XX); Statistics (62-XX)

DifferentialEquations.jl

Software Authors:   C. Rackauckas, Q. Nie
Cited in: 41 Publications (2018–2022)
Related Software: Julia; NeuralPDE.jl; GitHub; Flux; DiffEqFlux; JuMP; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Fluid mechanics (76-XX)

LIMbook

Software Authors:   Brugnano, Luigi; Iavernaro, Felice
Cited in: 63 Publications (2016–2022)
Related Software: BiMD; BiM; RODAS; Mulprec; Matlab; HLLE; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Dynamical systems and ergodic theory (37-XX)

DIFFALG

Software Authors:   Boulier, F., Hubert, E
Cited in: 62 Publications (2000–2020)
Related Software: AIDA; Maple; DifferentialThomas; RegularChains; Janet; Macaulay2; …
Main Fields: Field theory and polynomials (12-XX); Commutative algebra (13-XX); Algebraic geometry (14-XX)

mlf

Software Authors:   I. Podlubny, M. Kacenak
Cited in: 61 Publications (2008–2022)
Related Software: Mittag-Leffler; Matlab; ML; mlrnd; Regularization tools; ma2dfc; …
Main Fields: Real functions (26-XX); Special functions (33-XX); Ordinary differential equations (34-XX)

PSEUDO

Software Authors:   J. C. Brunelli
Cited in: 61 Publications (2004–2022)
Related Software: Mathematica; AXIOM; SuSy 2; Maple; CONSLAW; PDEtools; …
Main Fields: Partial differential equations (35-XX); Dynamical systems and ergodic theory (37-XX); Numerical analysis (65-XX)

DeepONet

Software Authors:   Lu Lu, Pengzhan Jin, George Em Karniadakis
Cited in: 59 Publications (2020–2022)
Related Software: Adam; PDE-Net; PyTorch; DeepXDE; DGM; FPINNs; …
Main Fields: Partial differential equations (35-XX); Statistics (62-XX); Numerical analysis (65-XX)

HolonomicFunctions

Software Authors:   Christoph Koutschan
Cited in: 56 Publications (2009–2022)
Related Software: Mathematica; SINGULAR; gfun; Plural; OEIS; DLMF; …
Main Fields: Combinatorics (05-XX); Number theory (11-XX); Special functions (33-XX)

HSL_MI20

Software Authors:   Boyle, Jonathan; Mihajlovi, Milan; Scott, Jennifer
Cited in: 59 Publications (2009–2022)
Related Software: IFISS; Matlab; AGMG; UMFPACK; HSL; GitHub; …
Main Fields: Partial differential equations (35-XX); Calculus of variations and optimal control; optimization (49-XX); Probability theory and stochastic processes (60-XX)

LFA

Software Authors:   Wienands, Roman; Joppich, Wolfgang
Cited in: 59 Publications (2005–2022)
Related Software: Wesseling; FEATFLOW; PLTMG; FAIR.m; IFISS; Trilinos; …
Main Fields: Partial differential equations (35-XX); Calculus of variations and optimal control; optimization (49-XX); Numerical analysis (65-XX)

CRACK

Software Authors:   Wolf, Thomas
Cited in: 57 Publications (1993–2021)
Related Software: REDUCE; LIEPDE; Maple; SYMMGRP; GeM; ConLaw; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Dynamical systems and ergodic theory (37-XX)

SU2

Software Authors:   T. D. Economon, F. Palacios, S. R. Copeland, T. W. Lukaczyk, J. J. Alonso
Cited in: 53 Publications (2014–2023)
Related Software: OpenFOAM; FLUENT; Gmsh; Spalart-Allmaras; CoDiPack; PETSc; …
Main Fields: Statistics (62-XX); Numerical analysis (65-XX); Computer science (68-XX)

DAISY

Software Authors:   Giuseppina Bellu , Maria Pia Saccomani, Stefania Audoly , Leontina D’Angiò
Cited in: 55 Publications (2008–2022)
Related Software: COMBOS; GenSSI; SIAN; BLAD; ObservabilityTest; MESSI; …
Main Fields: Commutative algebra (13-XX); Ordinary differential equations (34-XX); Statistics (62-XX)

diffgrob2

Software Authors:   Mansfield, E. L.
Cited in: 54 Publications (1994–2022)
Related Software: SYMMGRP; SYMMGRP.MAX; Maple; CRACK; LIEPDE; LIE; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Dynamical systems and ergodic theory (37-XX)

ToolboxLS

Software Authors:   Ian Mitchell
Cited in: 52 Publications (2005–2022)
Related Software: top.m; Ellipsoidal Toolbox; Multivac; helperOC; ROC-HJ; MPT; …
Main Fields: Calculus of variations and optimal control; optimization (49-XX); Numerical analysis (65-XX); Mechanics of deformable solids (74-XX)

CompEcon

Software Authors:   Paul Fackler, Mario Miranda
Cited in: 50 Publications (2002–2022)
Related Software: Matlab; Gensys; nwSpGr; JBendge; Dynare; RECS; …
Main Fields: Statistics (62-XX); Numerical analysis (65-XX); Operations research, mathematical programming (90-XX)

diffEq

Software Authors:   Karline Soetaert
Cited in: 53 Publications (2011–2022)
Related Software: deSolve; R; BvpSolve; RootSolve; ODEPACK; COLSYS; …
Main Fields: Ordinary differential equations (34-XX); Probability theory and stochastic processes (60-XX); Statistics (62-XX)

AUTO2000

Software Authors:   Eusebius Doedel, with contribution from: Alan Champneys, Fabio Dercole, Thomas Fairgrieve, Yuri Kuznetsov, Bart Oldeman, Randy Paffenroth, Bjorn Sandstede, Xianjun Wang, and Chenghai Zhang
Cited in: 52 Publications (2003–2021)
Related Software: HomCont; AUTO; MATCONT; Matlab; CL_MATCONT; XPPAUT; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Dynamical systems and ergodic theory (37-XX)

ACSL

Software Authors:   Mitchell, Edward E.L; Gauthier, Joseph S.
Cited in: 48 Publications (1975–2021)
Related Software: Frama-C; Why3; KRAKATOA; Spec#; JML; z3; …
Main Fields: Numerical analysis (65-XX); Computer science (68-XX); Mechanics of particles and systems (70-XX)

AMDiS

Software Authors:   Simon Praetorius
Cited in: 49 Publications (2006–2022)
Related Software: UMFPACK; PETSc; CutFEM; libMesh; p4est; FEniCS; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Mechanics of deformable solids (74-XX)

Bocop

Software Authors:   Bonnans, F.J., Martinon, P., Grélard, V.
Cited in: 51 Publications (2013–2022)
Related Software: Ipopt; SOCS; minpack; HamPath; GloptiPoly; GitHub; …
Main Fields: Calculus of variations and optimal control; optimization (49-XX); Numerical analysis (65-XX); Mechanics of particles and systems (70-XX)