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Found 178 Software Packages (Results 1–100)

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: 957 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)

COMSOL

Software Authors:   COMSOL Inc.
Cited in: 443 Publications (2000–2023)
Related Software: Matlab; Python; Gmsh; ABAQUS; FEniCS; OpenFOAM; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Mechanics of deformable solids (74-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)

IIMPACK

Software Authors:   Li, Z.
Cited in: 234 Publications (2006–2022)
Related Software: CutFEM; FISHPAK; PETSc; Matlab; MIBPB; hypre; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Mechanics of deformable solids (74-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)

Chemotaxis

Software Authors:   Filbet, Francis
Cited in: 213 Publications (2004–2022)
Related Software: Matlab; DistMesh; FreeFem++; deal.ii; HE-E1GODF; DUNE; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Fluid mechanics (76-XX)

ma2dfc

Software Authors:   Podlubny, I.
Cited in: 211 Publications (2000–2022)
Related Software: Matlab; FODE; Fractional Order Chaotic Systems; DFOC; sysdfod; Mittag-Leffler; …
Main Fields: Real functions (26-XX); Ordinary differential equations (34-XX); Partial differential equations (35-XX)

DGM

Software Authors:   Sirignano, Justin; Spiliopoulos, Konstantinos
Cited in: 203 Publications (2017–2022)
Related Software: Adam; TensorFlow; PDE-Net; DeepXDE; PyTorch; 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: 180 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)

RKC

Software Authors:   Sommeijer, B.P.; Shampine, L.F.; Verwer, J.G.
Cited in: 130 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)

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)

PDE-Net

Software Authors:   Zichao Long, Yiping Lu, Xianzhong Ma, Bin Dong
Cited in: 95 Publications (2019–2022)
Related Software: DGM; Adam; TensorFlow; PyTorch; DeepONet; AlexNet; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Computer science (68-XX)

DeepXDE

Software Authors:   Lu Lu, Xuhui Meng, Zhiping Mao, George E. Karniadakis
Cited in: 76 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)

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)

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)

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)

ToolboxLS

Software Authors:   Ian Mitchell
Cited in: 54 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)

FPINNs

Software Authors:   Guofei Pang, Lu Lu, George Em Karniadakis
Cited in: 54 Publications (2019–2022)
Related Software: DGM; Adam; DeepXDE; TensorFlow; DiffSharp; DeepONet; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Computer science (68-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)

pde2path

Software Authors:   H. Uecker, D. Wetzel, J. Rademacher
Cited in: 51 Publications (2014–2022)
Related Software: AUTO; Matlab; MATCONT; AUTO-07P; COCO; HomCont; …
Main Fields: Partial differential equations (35-XX); Dynamical systems and ergodic theory (37-XX); Numerical analysis (65-XX)

AGMG

Software Authors:   Yvan Notay
Cited in: 44 Publications (2011–2022)
Related Software: IFISS; HSL_MI20; BoomerAMG; Matlab; LAMG; SparseMatrix; …
Main Fields: Partial differential equations (35-XX); Calculus of variations and optimal control; optimization (49-XX); Numerical analysis (65-XX)

NeuralPDE.jl

Software Authors:   Kirill Zubov; Christopher Rackauckas; et al.
Cited in: 41 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)

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)

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)

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)

PNM

Software Authors:   Aberth, Oliver
Cited in: 35 Publications (1992–2021)
Related Software: INTOPT_90; C-XSC 2.0; C-XSC; INTLAB; MPFI; intpakX; …
Main Fields: Mathematical logic and foundations (03-XX); Numerical analysis (65-XX); Computer science (68-XX)

XPINNs

Software Authors:   Zheyuan Hu, Ameya D. Jagtap, George Em Karniadakis, Kenji Kawaguchi
Cited in: 34 Publications (2020–2023)
Related Software: Adam; PyTorch; TensorFlow; DiffSharp; FPINNs; PINNsNTK; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Computer science (68-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)

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)

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)

QMC4PDE

Software Authors:   Nuyens, Dirk
Cited in: 27 Publications (2016–2022)
Related Software: sobol.cc; GitHub; ANOVAapprox; LSQR; Magic Point Shop; Adam; …
Main Fields: Partial differential equations (35-XX); Approximations and expansions (41-XX); Probability theory and stochastic processes (60-XX)

SharpClaw

Software Authors:   David Ketcheson
Cited in: 26 Publications (2012–2022)
Related Software: Pyclaw; PyWENO; CLAWPACK; WENOCLAW; HE-E1GODF; HLLE; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Numerical analysis (65-XX)

SPRINT2D

Software Authors:   Berzins, M.; Fairlie, R.; Pennington, S.V.; Ware, J.M.; Scales, L.E.
Cited in: 25 Publications (1986–2013)
Related Software: DASSL; LSODE; GEOMPACK; RODAS; PLTMG; CHEMKIN; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Numerical analysis (65-XX)

FiPy

Software Authors:   J. E. Guyer; D. Wheeler; J. A. Warren
Cited in: 22 Publications (2012–2022)
Related Software: Python; FEniCS; PETSc; Adam; PyTorch; TensorFlow; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Computer science (68-XX)

FELICITY

Software Authors:   S. W. Walker
Cited in: 22 Publications (2015–2022)
Related Software: Matlab; FEniCS; Matlab-RBF-Toolbox; GitHub; BEMLIB; AHF; …
Main Fields: Partial differential equations (35-XX); Calculus of variations and optimal control; optimization (49-XX); Numerical analysis (65-XX)

IRKC

Software Authors:   Shampine, L.F.; Sommeijer, B.P.; Verwer, J.G.
Cited in: 21 Publications (2006–2022)
Related Software: RKC; RODAS; VODE; LSODA; MEBDF; SERK2v3; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Numerical analysis (65-XX)

AMReX

Software Authors:   Ann Almgren
Cited in: 16 Publications (2019–2022)
Related Software: p4est; Chombo; Gerris; ENZO; ForestClaw; RAMSES; …
Main Fields: Numerical analysis (65-XX); Computer science (68-XX); Mechanics of deformable solids (74-XX)

PELLPACK

Software Authors:   Houstis, E.N.; Rice, J.R.; Weerawarana, S.; Catlin, A.C.; Papachiou, P.; Wang, K.-Y.; Gaitatzes, M.
Cited in: 18 Publications (1998–2008)
Related Software: ELLPACK; PYTHIA; LAPACK; SciNapse; Mathematica; METIS; …
Main Fields: General and overarching topics; collections (00-XX); Partial differential equations (35-XX); Calculus of variations and optimal control; optimization (49-XX)

Pyclaw

Software Authors:   Ketcheson, David I.; Mandli, Kyle; Ahmadia, Aron J.; Alghamdi, Amal; De Luna, Manuel Quezada; Parsani, Matteo; Knepley, Matthew G.; Emmett, Matthew
Cited in: 19 Publications (2012–2022)
Related Software: PyWENO; CLAWPACK; SharpClaw; PETSc; NumPy; Python; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Mechanics of deformable solids (74-XX)

Sundance

Software Authors:   Long, Kevin R.
Cited in: 18 Publications (2003–2021)
Related Software: FEniCS; PETSc; deal.ii; Trilinos; FreeFem++; DOLFIN; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Computer science (68-XX)

AMGCL

Software Authors:   Demidov, D.
Cited in: 16 Publications (2017–2022)
Related Software: GitHub; KRATOS; PETSc; Python; Trilinos; hypre; …
Main Fields: Partial differential equations (35-XX); Calculus of variations and optimal control; optimization (49-XX); Numerical analysis (65-XX)

PFASST

Software Authors:   Matthew Emmett, Torbjörn Klatt, Robert Speck, Daniel Ruprecht, Selman Terzi
Cited in: 18 Publications (2014–2022)
Related Software: pySDC; PARAEXP; RODAS; MGRIT; PETSc; ParaOpt; …
Main Fields: Partial differential equations (35-XX); Calculus of variations and optimal control; optimization (49-XX); Numerical analysis (65-XX)

SciANN

Software Authors:   Haghighat, Ehsan; Juanes, Ruben
Cited in: 17 Publications (2021–2022)
Related Software: TensorFlow; DeepXDE; Adam; DiffSharp; SimNet; PINNsNTK; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Computer science (68-XX)

Ani3D

Software Authors:   K. Lipnikov, Y. Vassilevski, A. Danilov, et al
Cited in: 17 Publications (2010–2022)
Related Software: Ani2D; MUMPS; FEATFLOW; INMOST; SUNDIALS; Chaste; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Mechanics of deformable solids (74-XX)

MgNet

Software Authors:   He, Juncai; Xu, Jinchao
Cited in: 17 Publications (2019–2022)
Related Software: Adam; PDE-Net; DeepONet; U-Net; DGM; D3M; …
Main Fields: Statistics (62-XX); Numerical analysis (65-XX); Computer science (68-XX)

MOVCOL4

Software Authors:   Russell, R.D.; Williams, J.F.; Xu, X.
Cited in: 17 Publications (2007–2019)
Related Software: DASSL; MOVCOL; HE-E1GODF; DistMesh; RODAS; FODE; …
Main Fields: Partial differential equations (35-XX); Integral equations (45-XX); Numerical analysis (65-XX)

ApplySym

Software Authors:   Thomas Wolf
Cited in: 16 Publications (1995–2016)
Related Software: ConLaw; LIEPDE; CRACK; GeM; SYMMGRP; Maple; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Dynamical systems and ergodic theory (37-XX)

PARALAAOMPI

Software Authors:   Wathen, Anthony Goddard Andy
Cited in: 15 Publications (2019–2022)
Related Software: ParaDiag; pyParareal; MGRIT; IFISS; RODAS; PETSc; …
Main Fields: Linear and multilinear algebra; matrix theory (15-XX); Partial differential equations (35-XX); Calculus of variations and optimal control; optimization (49-XX)

PDECHEB

Software Authors:   Berzins, M.; Dew, P.M.
Cited in: 15 Publications (1991–2013)
Related Software: PDECOL; DASSL; EPDCOL; CWRESX; CWRESU; Algorithm 731; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Fluid mechanics (76-XX)

DASOPT

Software Authors:   Petzold, Linda; Rosen, J.Ben; Gill, Philip E.; Jay, Laurent O.; Park, Kihong
Cited in: 14 Publications (1988–2021)
Related Software: ADIFOR; SNOPT; SOCS; LAPACK; L-BFGS; GiNaC; …
Main Fields: Calculus of variations and optimal control; optimization (49-XX); Numerical analysis (65-XX); Fluid mechanics (76-XX)

DOpElib

Software Authors:   C. Goll, T. Wick, W. Wollner
Cited in: 13 Publications (2013–2022)
Related Software: deal.ii; UMFPACK; FEATFLOW; OPTPDE
Main Fields: Partial differential equations (35-XX); Calculus of variations and optimal control; optimization (49-XX); Numerical analysis (65-XX)

Exa-Dune

Software Authors:   Peter Bastian, Mirco Altenbernd, Nils-Arne Dreier, Christian Engwer, Jorrit Fahlke, René Fritze, Markus Geveler, Dominik Göddeke, Oleg Iliev, Olaf Ippisch, Jan Mohring, Steffen Müthing, Mario Ohlberger, Dirk Ribbrock, Nikolay Shegunov, Stefan Turek
Cited in: 11 Publications (2015–2021)
Related Software: p4est; deal.ii; DUNE; FEniCS; Gmsh; UG4; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Computer science (68-XX)

ForestClaw

Software Authors:   C. Burstedde, D. Calhoun, K. Mandli, A. R. Terrel
Cited in: 12 Publications (2016–2022)
Related Software: p4est; Chombo; Peano; PARAMESH; SAMRAI; AMReX; …
Main Fields: General and overarching topics; collections (00-XX); Partial differential equations (35-XX); Probability theory and stochastic processes (60-XX)

PainleveTest

Software Authors:   Baldwin, D.; Hereman, W.; Sayers, J.
Cited in: 13 Publications (2005–2022)
Related Software: PDERecursionOperator; WKPtest; Mathematica; ConservationLawsMD; Maple; PDESpecialSolutions; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Dynamical systems and ergodic theory (37-XX)

T-IFISS

Software Authors:   Alex Bespalov, Leonardo Rocchi, David Silvester
Cited in: 13 Publications (2018–2022)
Related Software: ALEA; OPQ; Matlab; IFISS; p1afem; ameshcoars; …
Main Fields: Partial differential equations (35-XX); Probability theory and stochastic processes (60-XX); Numerical analysis (65-XX)

jInv

Software Authors:   Lars Ruthotto, Eran Treister, Eldad Haber
Cited in: 12 Publications (2016–2021)
Related Software: Julia; GitHub; MUMPS; PARDISO; Trilinos; PETSc; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Computer science (68-XX)

Matlab PDE toolbox

Software Authors:   MathWorks; Nordmark, A.
Cited in: 12 Publications (1999–2020)
Related Software: Matlab; Partial Differential Equation Toolbox; Schittkowski; FreeHyTE; BootCMatch; SPRAL; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Mechanics of deformable solids (74-XX)

StOpt

Software Authors:   Hugo Gevret, Nicolas Langrené, Jerome Lelong, Xavier Warin, Aditya Maheshwari
Cited in: 10 Publications (2017–2022)
Related Software: KernSmooth; MSPPy; StructDualDynProg.jl; StochDynamicProgramming.jl; SDDP; JuMP; …
Main Fields: Probability theory and stochastic processes (60-XX); Statistics (62-XX); Numerical analysis (65-XX)

D3M

Software Authors:   Ke Li, Kejun Tang, Tianfan Wu, Qifeng Liao
Cited in: 11 Publications (2020–2022)
Related Software: Adam; DGM; DiffSharp; MgNet; VarNet; NSFnets; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Computer science (68-XX)

Dendro

Software Authors:   R. S. Sampath, S. S. Adavani, H. Sundar, I. Lashuk, G. Biros
Cited in: 9 Publications (2010–2022)
Related Software: p4est; deal.ii; Peano; Gerris; PARAMESH; Chombo; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Computer science (68-XX)

FastDer++

Software Authors:   E Tijskens, D Roose, H Ramon, Josse De Baerdemaeker
Cited in: 11 Publications (2002–2021)
Related Software: ADIFOR; ve08; KELLEY; ADIC; automan; DGM; …
Main Fields: Partial differential equations (35-XX); Calculus of variations and optimal control; optimization (49-XX); Numerical analysis (65-XX)

MUFTE-UG

Software Authors:   R., Kopp, A., Niessner, J., Ochs, S.O., Papafotiou, A., Paul, M., Sheta, H., Werner, D., Ölmann, U
Cited in: 11 Publications (2002–2022)
Related Software: MRST; MUMPS; Matlab; hypre; TOUGH; DuMuX; …
Main Fields: Numerical analysis (65-XX); Mechanics of deformable solids (74-XX); Fluid mechanics (76-XX)

VarNet

Software Authors:   –
Cited in: 11 Publications (2020–2022)
Related Software: Adam; DGM; DeepXDE; DiffSharp; NSFnets; D3M; …
Main Fields: Partial differential equations (35-XX); Harmonic analysis on Euclidean spaces (42-XX); Numerical analysis (65-XX)

Gridap

Software Authors:   Santiago Badia; Francesc Verdugo
Cited in: 6 Publications (2021–2022)
Related Software: Julia; DifferentialEquations.jl; FEniCS; SummationByPartsOperators.jl; Oceananigans.jl; JuMP; …
Main Fields: Statistics (62-XX); Numerical analysis (65-XX); Computer science (68-XX)

ParaDiag

Software Authors:   Martin J. Gander, Jun Liu, Shu-Lin Wu, Xiaoqiang Yue, Tao Zhou
Cited in: 10 Publications (2021–2023)
Related Software: PARALAAOMPI; MGRIT; pyParareal; RODAS; ParaOpt; LFA; …
Main Fields: Partial differential equations (35-XX); Calculus of variations and optimal control; optimization (49-XX); Probability theory and stochastic processes (60-XX)

TWODEPEP

Software Authors:   Sewell, Granville
Cited in: 10 Publications (1982–2010)
Related Software: PDE2D; MUMPS; EISPACK; ELLPACK; PDETWO; HSL; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Numerical analysis (65-XX)

CHIDES

Software Authors:   Hagstrom, Thomas; Appelö, Daniel
Cited in: 9 Publications (2015–2022)
Related Software: DG_DATH_ELASTIC_V1.0; CMPGRD; Ogen; Mulprec; LBFGS-B; OCCA; …
Main Fields: Partial differential equations (35-XX); Approximations and expansions (41-XX); Numerical analysis (65-XX)

MATLAB-Python-inpainting-codes

Software Authors:   Schönlieb, Carola-Bibiane; Simone Parisotto
Cited in: 9 Publications (2015–2021)
Related Software: SIPI Image Database; iPiano; MathOverflow; inpaintBCT; QIBSH++; PatchMatch; …
Main Fields: Partial differential equations (35-XX); Probability theory and stochastic processes (60-XX); Numerical analysis (65-XX)

Pencil Code

Software Authors:   Axel Brandenburg; et al.
Cited in: 6 Publications (2019–2021)
Related Software: TARANG; Blitz++; Gerris; SU2; OpenFOAM; SARAS; …
Main Fields: General and overarching topics; collections (00-XX); Numerical analysis (65-XX); Fluid mechanics (76-XX)

RKPM2D

Software Authors:   Huang, T. H.; Wei, H.; Chen, J. S.; Hillman, M.
Cited in: 9 Publications (2021–2022)
Related Software: OpenIFEM
Main Fields: Numerical analysis (65-XX); Computer science (68-XX); Mechanics of deformable solids (74-XX)

SSPTSmethods

Software Authors:   Grant, Zachary; Gottlieb, Sigal; Seal, David C.
Cited in: 9 Publications (2018–2022)
Related Software: GitHub; NLopt; RIEMANN; Gmsh; phipm; KIOPS; …
Main Fields: Partial differential equations (35-XX); Dynamical systems and ergodic theory (37-XX); Numerical analysis (65-XX)

BACOL

Software Authors:   Wang, R.; Keast, P.; Muir, P.
Cited in: 8 Publications (2004–2019)
Related Software: PDECOL; EPDCOL; BACOLR; BACOLI; DASSL; COLROW; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Game theory, economics, finance, and other social and behavioral sciences (91-XX)

ConservationLawsMD

Software Authors:   L.D. Poole; W. Hereman
Cited in: 8 Publications (2011–2022)
Related Software: PDERecursionOperator; PainleveTest; Mathematica; CRACK; REDUCE; DifferentialGeometry; …
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Dynamical systems and ergodic theory (37-XX)

FDEM

Software Authors:   Schönauer, Willi; Adolph, Torsten
Cited in: 8 Publications (2002–2012)
Related Software: LINSOL; SuperLU-DIST; ORESD; PDEX1M; VECFEM; FIDISOL
Main Fields: Ordinary differential equations (34-XX); Partial differential equations (35-XX); Numerical analysis (65-XX)

Rif

Software Authors:   A. Wittkopf; G. Reid
Cited in: 8 Publications (2004–2019)
Related Software: Maple; DifferentialGeometry; REDUCE; Mathematica; diffgrob2; GeM; …
Main Fields: Field theory and polynomials (12-XX); Partial differential equations (35-XX); Dynamical systems and ergodic theory (37-XX)

SERK2v3

Software Authors:   Kleefeld, B.; Martín-Vaquero, J.
Cited in: 8 Publications (2016–2020)
Related Software: SERK2; RKC; RODAS; MEBDF; DASSL; VODE; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Fluid mechanics (76-XX)

TDDS

Software Authors:   Vladimir P. Gerdt, Markus Lange-Hegermann, Daniel Robertz
Cited in: 8 Publications (2020–2023)
Related Software: DifferentialThomas; Janet; RegularChains; LDA; AlgebraicThomas; GUARDIAN; …
Main Fields: Commutative algebra (13-XX); Ordinary differential equations (34-XX); Probability theory and stochastic processes (60-XX)

AMATOS

Software Authors:   Jörn Behrens
Cited in: 7 Publications (2005–2021)
Related Software: chammp; HE-E1GODF; GASpAR; cosmo; DUNE; HLLE; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Fluid mechanics (76-XX)

Aria

Software Authors:   P.K. Notz, S.R. Subia, M.M. Hopkins, H.K. Moffat, D.R. Noble; Sandia National Laboratories
Cited in: 7 Publications (2010–2021)
Related Software: Trilinos; PUFoam; EnSight
Main Fields: Numerical analysis (65-XX); Mechanics of deformable solids (74-XX); Fluid mechanics (76-XX)

DiscretizationNet

Software Authors:   Rishikesh Ranade, Chris Hill, Jay Pathak
Cited in: 7 Publications (2021–2022)
Related Software: NSFnets; Adam; DeepXDE; DiffSharp; VarNet; DGM; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Computer science (68-XX)

IGA-ADS

Software Authors:   Łoś, Marcin M.; Woźniak, Maciej; Paszyńskia, Maciej; Lenharth, Andrew; Hassaan, Muhamm Amber; Pingali, Keshav
Cited in: 7 Publications (2017–2022)
Related Software: CMake; Boost; Boost C++ Libraries; PETSc; LAPACK; GALOIS; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Mechanics of deformable solids (74-XX)

MADNESS

Software Authors:   Reuter, Matthew G.; Hill, Judith C.; Harrison, Robert J.
Cited in: 6 Publications (2012–2018)
Related Software: BLIS; TTC; P3DFFT; TensorFlow; HPTT; Eigen; …
Main Fields: Linear and multilinear algebra; matrix theory (15-XX); Partial differential equations (35-XX); Functional analysis (46-XX)

MUSCOP

Software Authors:   Potschka, Andreas
Cited in: 7 Publications (2001–2021)
Related Software: NewtonLib; ADOL-C; UFL; FEniCS; DOLFIN; MUMPS; …
Main Fields: Partial differential equations (35-XX); Calculus of variations and optimal control; optimization (49-XX); Global analysis, analysis on manifolds (58-XX)

RBmatlab

Software Authors:   M. Drohmann, B. Haasdonk, S. Kaulmann, M. Ohlberger
Cited in: 6 Publications (2012–2021)
Related Software: DUNE; rbMIT; libMesh; FEniCS; pyMOR; redbKIT; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Computer science (68-XX)

SimNet

Software Authors:   Oliver Hennigh, Susheela Narasimhan, Mohammad Amin Nabian, Akshay Subramaniam, Kaustubh Tangsali, Max Rietmann, Jose del Aguila Ferrandis, Wonmin Byeon, Zhiwei Fang, Sanjay Choudhry
Cited in: 6 Publications (2022)
Related Software: DeepXDE; SciANN; TensorFlow; Adam; PyDEns; PyTorch; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Computer science (68-XX)

Ani2D

Software Authors:   K. Lipnikov, Y. Vassilevski
Cited in: 6 Publications (2010–2019)
Related Software: Ani3D; ILU++; FEATFLOW; Schittkowski; SNOPT; Matlab
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Fluid mechanics (76-XX)

BACOLI

Software Authors:   Jack Pew, Paul Muir, Zhi Li
Cited in: 6 Publications (2015–2019)
Related Software: BACOLR; BACOL; PDECOL; EPDCOL; COLSYS; DASSL; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Biology and other natural sciences (92-XX)

BACOLR

Software Authors:   Wang, R.; Keast, P.; Muir, P.H.
Cited in: 6 Publications (2008–2019)
Related Software: BACOLI; BACOL; PDECOL; EPDCOL; DASSL; COLSYS; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Biology and other natural sciences (92-XX)

HAZMATH

Software Authors:   Adler, J.H., Hu, X., Zikatanov, L.T.
Cited in: 6 Publications (2020–2022)
Related Software: UMFPACK; PorePy
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Mechanics of deformable solids (74-XX)

NodePy

Software Authors:   David Ketcheson
Cited in: 5 Publications (2014–2022)
Related Software: imexLNL; ImplicitLNLMethods; GitHub; Matlab; Rk-opt; SUNDIALS; …
Main Fields: Partial differential equations (35-XX); Numerical analysis (65-XX); Fluid mechanics (76-XX)