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Found 396 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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

FPINNs

Software Authors:   Guofei Pang, Lu Lu, George Em Karniadakis
Cited in: 51 Publications (2019–2022)
Related Software: DGM; Adam; DeepXDE; DiffSharp; TensorFlow; DeepONet; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Computer science (68-XX)

PDE2D

Software Authors:   Fitzgerald, Rosa M.; Sewell, Granville
Cited in: 49 Publications (1988–2020)
Related Software: ODEPACK; Matlab; nag; NAG; GitHub; EnKF; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Fluid mechanics (76-XX)

MLMSRBF

Software Authors:   Regis, Rommel G.; Shoemaker, Christine A.
Cited in: 48 Publications (2007–2022)
Related Software: EGO; NOMAD; ORBIT; SO-I; MultiMin; DFO; …
Main Fields: Statistics (62-XX); Numerical analysis (65-XX); Fluid mechanics (76-XX)

Total FETI

Software Authors:   Dostál, Zdeněk; Horák, David; Kučera, Radek
Cited in: 48 Publications (2006–2022)
Related Software: MatSol; PETSc; PermonFLLOP; TFETI; PARDISO; IETI; …
Main Fields: Partial differential equations (35-XX); Calculus of variations and optimal control; optimization (49-XX); Numerical analysis (65-XX)

ITPACK

Software Authors:   Kincaid, David R.; Young, David M.
Cited in: 44 Publications (1979–2017)
Related Software: ITPACK 2C; ELLPACK; CUDA; LINPACK; SparseMatrix; CUSPARSE; …
Main Fields: Linear and multilinear algebra; matrix theory (15-XX); Partial differential equations (35-XX); Numerical analysis (65-XX)

PDECOL

Software Authors:   Madsen, N.K.; Sincovec, R.F.
Cited in: 47 Publications (1977–2019)
Related Software: EPDCOL; DASSL; COLSYS; COLROW; PDECHEB; MOVCOL; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Mechanics of deformable solids (74-XX)

TRICE

Software Authors:   Dennis, J.E.; Heinkenschloss, Matthias; Vicente, Lu'{i}s N.
Cited in: 46 Publications (1997–2021)
Related Software: LANCELOT; Ipopt; SNOPT; CUTEr; TRON; NPSOL; …
Main Fields: Partial differential equations (35-XX); Calculus of variations and optimal control; optimization (49-XX); Numerical analysis (65-XX)

Hopscotch

Software Authors:   Gourlay, A.R.
Cited in: 44 Publications (1971–2022)
Related Software: COMSOL; DIMSYM; Matlab; Mathematica; Metro; MersenneTwister; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Fluid mechanics (76-XX)

NKA

Software Authors:   N. N. Carlson, K. Miller
Cited in: 45 Publications (1997–2021)
Related Software: Anderson; NOX Solver AndersonAcceleration; CVX; DASSL; GAUSSIAN; MINQ; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Fluid mechanics (76-XX)

petsc4py

Software Authors:   L. Dalcin, P. Kler, R. Paz, A. Cosimo
Cited in: 43 Publications (2015–2022)
Related Software: mpi4py; PETSc; Firedrake; FEniCS; Python; UFL; …
Main Fields: Partial differential equations (35-XX); Calculus of variations and optimal control; optimization (49-XX); Numerical analysis (65-XX)

ROS3P

Software Authors:   Lang, J.; Verwer, J.
Cited in: 45 Publications (2001–2022)
Related Software: RODAS; PETSc; KARDOS; MooNMD; Spalart-Allmaras; ROWMAP; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Calculus of variations and optimal control; optimization (49-XX)

Cast3M

Software Authors:   Cast3M
Cited in: 44 Publications (2004–2022)
Related Software: Matlab; XFEM; CGAL; TOUGH; L-BFGS; Gmsh; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Mechanics of deformable solids (74-XX)

Feel++

Software Authors:   Christophe Prud'homme, Vincent Chabannes, Stéphane Veys, Abdoulaye Samake, Cecile Daversin, Christophe Trophime, Goncalo Pena, Guillaume Dollé, Jean-Baptiste Wahl, Mourad Ismail, Ranine Tarabay, Vincent Doyeux, Vincent Huber
Cited in: 38 Publications (1999–2022)
Related Software: PETSc; FEniCS; FreeFem++; deal.ii; Gmsh; Firedrake; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Computer science (68-XX)

Overture

Software Authors:   L. Brown, William D. Henshaw, Daniel J. Quinlan.
Cited in: 37 Publications (2000–2022)
Related Software: PETSc; CMPGRD; PARAMESH; Uintah; Ogen; SUGGAR++; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Computer science (68-XX)

TIDES

Software Authors:   A. Abad, R Barrio, F. Blesa, M. Rodriguez
Cited in: 42 Publications (2009–2022)
Related Software: Taylor; ATOMFT; RODES; Mathematica; Cosy; DAETS; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Dynamical systems and ergodic theory (37-XX)

Kaskade7

Software Authors:   Martin Weiser, Anton Schiela, Sebastian Goetschel, Lars Lubkoll, Bodo Erdmann, Lutz Weimann
Cited in: 40 Publications (1990–2022)
Related Software: DUNE; PLTMG; UG; NewtonLib; RODAS; ISTL; …
Main Fields: Partial differential equations (35-XX); Calculus of variations and optimal control; optimization (49-XX); Numerical analysis (65-XX)

MOOSE

Software Authors:   Derek Gaston, Chris Newman, Glen Hansen, Damien Lebrun-Grandié
Cited in: 38 Publications (2013–2022)
Related Software: FEniCS; libMesh; PETSc; deal.ii; ParaView; Gmsh; …
Main Fields: Numerical analysis (65-XX); Mechanics of deformable solids (74-XX); Fluid mechanics (76-XX)

NeuralPDE.jl

Software Authors:   Kirill Zubov; Christopher Rackauckas; et al.
Cited in: 40 Publications (2018–2022)
Related Software: DifferentialEquations.jl; Julia; GitHub; RRK_rr; DeepXDE; SimNet; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Fluid mechanics (76-XX)

DUNE-FEM

Software Authors:   Dedner, Andreas; Klöfkorn, Robert; Nolte, Martin; Ohlberger, Mario
Cited in: 39 Publications (2010–2022)
Related Software: DUNE; deal.ii; PETSc; FEniCS; Feel++; UFL; …
Main Fields: Partial differential equations (35-XX); Global analysis, analysis on manifolds (58-XX); Numerical analysis (65-XX)

CADSOL

Software Authors:   Schmauder, M; Schoenauer, W.; Weiss, R.
Cited in: 39 Publications (1991–2022)
Related Software: PARDISO; COLSYS; LINSOL; VLUGR3; VLUGR2; Mathematica; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Fluid mechanics (76-XX)

HIROTA.MAX

Software Authors:   W. Hereman; W. Zhuang
Cited in: 39 Publications (1992–2019)
Related Software: MACSYMA; Maple; SYMMGRP; Bilinearization; HBFTrans2; ATFM; …
Main Fields: Partial differential equations (35-XX); Dynamical systems and ergodic theory (37-XX); Numerical analysis (65-XX)

SPDE

Software Authors:   Fritz Schwarz
Cited in: 39 Publications (1985–2017)
Related Software: REDUCE; SYMMGRP.MAX; LIE; LIE0; SYMMGRP; DIMSYM; …
Main Fields: Topological groups, Lie groups (22-XX); Ordinary differential equations (34-XX); Partial differential equations (35-XX)

DASPK 3.0

Software Authors:   Li, Shengtai; Petzold, Linda
Cited in: 38 Publications (1999–2021)
Related Software: ADIFOR; SUNDIALS; RODAS; SNOPT; DASPKADJOINT; TAMC; …
Main Fields: Ordinary differential equations (34-XX); Calculus of variations and optimal control; optimization (49-XX); Numerical analysis (65-XX)

AFEM@matlab

Software Authors:   L Chen and C.-S. Zhang
Cited in: 37 Publications (2008–2022)
Related Software: Matlab; iFEM; ALBERTA; p1afem; Ameshref; ameshcoars; …
Main Fields: Partial differential equations (35-XX); Calculus of variations and optimal control; optimization (49-XX); Numerical analysis (65-XX)

Algorithm 731

Software Authors:   J. G. Blom; P. A. Zegeling
Cited in: 37 Publications (1994–2019)
Related Software: CWRESX; CWRESU; DASSL; EPDCOL; MOVCOL; PDECOL; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Numerical analysis (65-XX)

CWRESU

Software Authors:   Blom, J.G.; Zegeling, P.A.
Cited in: 37 Publications (1994–2019)
Related Software: CWRESX; Algorithm 731; DASSL; EPDCOL; MOVCOL; PDECOL; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Numerical analysis (65-XX)

CWRESX

Software Authors:   Blom, J.G.; Zegeling, P.A.
Cited in: 37 Publications (1994–2019)
Related Software: CWRESU; Algorithm 731; DASSL; EPDCOL; MOVCOL; PDECOL; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Numerical analysis (65-XX)

Janet

Software Authors:   Blinkov Y, Cid C, Gerdt V, Plesken W, Robertz D
Cited in: 37 Publications (2005–2021)
Related Software: SINGULAR; Maple; OreModules; DifferentialThomas; Macaulay2; Plural; …
Main Fields: Commutative algebra (13-XX); Partial differential equations (35-XX); Computer science (68-XX)

DDESpecialSolutions

Software Authors:   Baldwin, D.; Göktaş, Ü.; Hereman, W.
Cited in: 35 Publications (2004–2018)
Related Software: Maple; RATH; JACOBI; PDESpecialSolutions; ATFM; AEFM; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Difference and functional equations (39-XX)

LAMG

Software Authors:   Livne, Oren E.; Brandt, Achi
Cited in: 35 Publications (2012–2022)
Related Software: SparseMatrix; BoomerAMG; GitHub; ILUT; hypre; SNAP; …
Main Fields: Combinatorics (05-XX); Statistics (62-XX); Numerical analysis (65-XX)

Partial Differential Equation Toolbox

Software Authors:   MathWorks
Cited in: 35 Publications (1998–2022)
Related Software: Matlab; Matlab PDE toolbox; Optimization Toolbox; rbf_qr; COMSOL; NAG Foundation Toolbox; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Fluid mechanics (76-XX)

Pluto

Software Authors:   Mignone, A.; Bodo, G.; Massaglia, S.; Matsakos, T.; Tesileanu, O.; Zanni, C.; Ferrari, A.
Cited in: 33 Publications (2007–2022)
Related Software: Athena; HLLE; RAMSES; NIRVANA; FLASH; ENZO; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Fluid mechanics (76-XX)

Carpet

Software Authors:   Tom Goodale, Gabrielle Allen, Gerd Lanfermann, Joan Massó, Thomas Radke, Edward Seidel, John Shalf, Schnetter, E.
Cited in: 31 Publications (2003–2020)
Related Software: Cactus; Einstein Toolkit; Chombo; PARAMESH; Kranc; FLASH; …
Main Fields: Numerical analysis (65-XX); Fluid mechanics (76-XX); Quantum theory (81-XX)

PFLOTRAN

Software Authors:   Lichtner, P.C., Hammond, G.E., Lu, C., Karra, S., Bisht, G., Andre, B., Mills, R.T., Kumar, J.
Cited in: 34 Publications (2014–2022)
Related Software: dfnWorks; TOUGHREACT; OpenGeoSys; LaGriT; TOUGH; HYDROGEOCHEM; …
Main Fields: Numerical analysis (65-XX); Computer science (68-XX); Mechanics of deformable solids (74-XX)

LOCA

Software Authors:   Andy Salinger; Sandia National Laboratories
Cited in: 33 Publications (2002–2022)
Related Software: AUTO; ARPACK; MATCONT; Trilinos; AUTO-86; Aztec; …
Main Fields: Partial differential equations (35-XX); Dynamical systems and ergodic theory (37-XX); Numerical analysis (65-XX)

MOVCOL

Software Authors:   W. Huang; R. D. Russell
Cited in: 33 Publications (1996–2019)
Related Software: DASSL; CWRESX; CWRESU; Algorithm 731; PDECOL; EPDCOL; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Calculus of variations and optimal control; optimization (49-XX)

MUDPACK

Software Authors:   Adams, John C.
Cited in: 32 Publications (1989–2021)
Related Software: MUDPACK-2; FISHPAK; NSPCG; FLUENT; PPM; dissolFoam; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Fluid mechanics (76-XX)

MUDPACK-2

Software Authors:   Adams, John C.
Cited in: 31 Publications (1989–2021)
Related Software: MUDPACK; FISHPAK; NSPCG; FLUENT; PPM; dissolFoam; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Fluid mechanics (76-XX)

TAUCS

Software Authors:   Sivan Toledo; Doron Chen; Vladimir Rotkin
Cited in: 27 Publications (2002–2021)
Related Software: MUMPS; METIS; PETSc; symrcm; HSL_MA77; MA27; …
Main Fields: Probability theory and stochastic processes (60-XX); Statistics (62-XX); Numerical analysis (65-XX)

PUMA

Software Authors:   Fraunhofer SCAI; Marc Alexander Schweitzer, Albert Ziegenhagel
Cited in: 31 Publications (2003–2020)
Related Software: XFEM; mctoolbox; Matlab; FEniCS; UG; Trilinos; …
Main Fields: Partial differential equations (35-XX); Approximations and expansions (41-XX); Numerical analysis (65-XX)

FlexPDE

Software Authors:   SoilVision Systems Ltd.
Cited in: 30 Publications (2006–2022)
Related Software: Matlab; Maple; NLEVP; MATCONT; CL_MATCONT; MATLAB ODE suite; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Fluid mechanics (76-XX)

FracSym

Software Authors:   Jefferson, G.F.; Carminati, J.
Cited in: 30 Publications (2014–2021)
Related Software: DESOLVII; Maple; ASP; Matlab; SYMMGRP; Python; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Numerical analysis (65-XX)

Jets

Software Authors:   H. Baran, M. Marvan
Cited in: 30 Publications (2014–2022)
Related Software: CDE; Cadabra; DESOLV; GitHub; WAlg; MasterPVA; …
Main Fields: Nonassociative rings and algebras (17-XX); Partial differential equations (35-XX); Dynamical systems and ergodic theory (37-XX)

PDELab

Software Authors:   Bastian, Peter; Heimann, Felix; Marnach, Sven
Cited in: 30 Publications (2010–2022)
Related Software: DUNE; ISTL; Gmsh; deal.ii; ALUGrid; FEniCS; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Fluid mechanics (76-XX)

PDEtools

Software Authors:   Cheb-Terrab, E.S.; von Bülow, K.
Cited in: 29 Publications (1995–2018)
Related Software: Maple; MACSYMA; SADE; SYMMGRP; CRACK; Mathematica; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Differential geometry (53-XX)

Schittkowski

Software Authors:   Schittkowski, Klaus
Cited in: 30 Publications (1993–2021)
Related Software: Matlab; MINLPLib; EASY - FIT; NL2SOL; PDEFIT; PCOMP; …
Main Fields: Statistics (62-XX); Numerical analysis (65-XX); Operations research, mathematical programming (90-XX)

PYTHIA

Software Authors:   Houstis, Elias N.; Catlin, Ann C.; Rice, John R.; Verykios, Vassilios S.; Ramakrishnan, Naren; Houstis, Catherine E., Weerawarana, Sanjiva; Houstis, Elias N.; Rice, John R.; Joshi, Anupam; Houstis, Catherine E.
Cited in: 28 Publications (1996–2018)
Related Software: PELLPACK; GAUSS; PYTHIA8; LAPACK; ODEXPERT; ELLPACK; …
Main Fields: Combinatorics (05-XX); Numerical analysis (65-XX); Computer science (68-XX)

PDERecursionOperator

Software Authors:   Baldwin, D.; Hereman, W.; Sayers, J.
Cited in: 28 Publications (2005–2021)
Related Software: PainleveTest; Maple; PDESpecialSolutions; ConservationLawsMD; Mathematica; GeM; …
Main Fields: Partial differential equations (35-XX); Dynamical systems and ergodic theory (37-XX); Numerical analysis (65-XX)

AILU

Software Authors:   Gander, Martin J.; Nataf, Frédéric
Cited in: 27 Publications (2000–2022)
Related Software: clique; PSP; STRUMPACK; MUMPS; UMFPACK; CGS; …
Main Fields: Linear and multilinear algebra; matrix theory (15-XX); Partial differential equations (35-XX); Numerical analysis (65-XX)

Basilisk

Software Authors:   Francesco De Vita; Jose-Maria Fullana; Geoffroy Kirstetter; Pierre-Yves Lagrée; Emily Lane; Jose Lopez-Herrera; John MacFarlane; Stéphane Popinet
Cited in: 26 Publications (2015–2022)
Related Software: Gerris; PROST; SLIC; TLBfind; STLBM; Palabos; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Fluid mechanics (76-XX)

ISTL

Software Authors:   M. Blatt; P. Bastian
Cited in: 25 Publications (2007–2021)
Related Software: DUNE; DuMuX; Gmsh; deal.ii; UMFPACK; UG; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Computer science (68-XX)

TSFC

Software Authors:   Miklós Homolya, Lawrence Mitchell, Fabio Luporini, David A. Ham
Cited in: 22 Publications (2016–2022)
Related Software: Firedrake; PETSc; UFL; petsc4py; COFFEE; FEniCS; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Mechanics of deformable solids (74-XX)

XPINNs

Software Authors:   Zheyuan Hu, Ameya D. Jagtap, George Em Karniadakis, Kenji Kawaguchi
Cited in: 26 Publications (2020–2022)
Related Software: Adam; TensorFlow; DiffSharp; PyTorch; FPINNs; PINNsNTK; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Computer science (68-XX)

PINNsNTK

Software Authors:   Wang, Sifan; Yu, Xinling; Perdikaris, Paris
Cited in: 25 Publications (2021–2022)
Related Software: Adam; DiffSharp; TensorFlow; XPINNs; DeepONet; NSFnets; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Computer science (68-XX)