swMATH ID: 23910
Software Authors: C. Rackauckas, Q. Nie
Description: DifferentialEquations.jl - A Performant and Feature-Rich Ecosystem for Solving Differential Equations in Julia. DifferentialEquations.jl is a package for solving differential equations in Julia. It covers discrete equations (function maps, discrete stochastic (Gillespie/Markov) simulations), ordinary differential equations, stochastic differential equations, algebraic differential equations, delay differential equations, hybrid differential equations, jump diffusions, and (stochastic) partial differential equations. Through extensive use of multiple dispatch, metaprogramming, plot recipes, foreign function interfaces (FFI), and call-overloading, DifferentialEquations.jl offers a unified user interface to solve and analyze various forms of differential equations while not sacrificing features or performance. Many modern features are integrated into the solvers, such as allowing arbitrary user-defined number systems for high-precision and arithmetic with physical units, built-in multithreading and parallelism, and symbolic calculation of Jacobians. Integrated into the package is an algorithm testing and benchmarking suite to both ensure accuracy and serve as an easy way for researchers to develop and distribute their own methods. Together, these features build a highly extendable suite which is feature-rich and highly performant.
Homepage: https://openresearchsoftware.metajnl.com/articles/10.5334/jors.151/
Source Code:  https://github.com/SciML/DifferentialEquations.jl
Related Software: Julia; NeuralPDE.jl; GitHub; Flux; Python; JuMP; DiffEqFlux; SUNDIALS; Matlab; Optim; Matplotlib; RRK_rr; PyTorch; SciPy; Makie.jl; RODAS; Plots.jl; Gridap; Numba; NLopt
Cited in: 71 Documents
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Cited by 199 Authors

6 Ranocha, Hendrik
5 Simpson, Matthew J.
4 Ketcheson, David I.
4 Öffner, Philipp
3 Tam, Alexander K. Y.
3 Torlo, Davide
2 Andrade, Tomás
2 Antoñana, Mikel
2 Bitsouni, Vasiliki
2 Chartier, Philippe
2 Emparan, Roberto
2 Gaffney, Eamonn A.
2 Karrasch, Daniel
2 Krause, Andrew L.
2 Licht, David
2 Luna, Raimon
2 Ma, Yingbo
2 Maclaren, Oliver J.
2 McCue, Scott William
2 Mikhlin, Yuri Vladimirovich
2 Murua, Ander
2 Onizhuk, Anton
2 Rackauckas, Christopher
2 Schilling, Christian
2 Schilling, Nathanael
2 Tsilidis, Vasilis
1 Afshordi, Niayesh
1 Allenby, Mark C.
1 Alvestad, Daniel
1 Aravkin, Aleksandr Y.
1 Awrejcewicz, Jan
1 Babbar, Arpit
1 Badia, Santiago
1 Bakir, Toufik
1 Baraldi, Robert J.
1 Barbastathis, George
1 Beeton, Nicholas J.
1 Besard, Tim
1 Bjerketvedt, Vegard Skonseng
1 Blåbäck, Johan
1 Bogomolov, Sergiy
1 Bonnard, Bernard
1 Bosschaert, Maikel M.
1 Bourdin, Loïc
1 Braatz, Richard D.
1 Breward, Christopher J. W.
1 Browning, Alexander P.
1 Brunton, Steven L.
1 Buenzli, Pascal R.
1 Callaham, Jared L.
1 Cancès, Eric
1 Carrero, Gustavo
1 Chan, Jesse
1 Chandrashekar, Praveen
1 Cheli, Alessandro
1 Chen, Hao
1 Churavy, Valentin
1 Church, Kevin E. M.
1 Coblentz, Kai
1 Constantinescu, Emil M.
1 Contreras, Carlos
1 Cuomo, Salvatore
1 Dailey, Conner
1 Dalcín, Lisandro D.
1 Datseris, George
1 de Almeida, Alfredo Miguel Ozorio
1 De Luna, Manuel Quezada
1 de Oliveira, Marcos Gil
1 de Vries, Gerda
1 Diez, Antoine
1 Drauschke, Fenja
1 Duignan, Nathan
1 Edelman, Alan Stuart
1 El-Hachem, Maud
1 Eriksson, Austen
1 Ferdelji, Nenad
1 Fermanian-Kammerer, Clotilde
1 Forets, Marcelo
1 Frehse, Goran
1 Froyland, Gary
1 Gao, Kaifeng
1 Gautason, Fridrik Freyr
1 Gerlach, Adam R.
1 Gialelis, Nikolaos
1 Gowda, Shashi
1 Gymnich, Tim
1 Hahne, F. M.
1 Haller, George
1 Han Veiga, Maria
1 Harang, Fabian Andsem
1 Harmon, Luke J.
1 Heckman, C. J.
1 Hegedűs, Ferenc
1 Hellmann, Frank
1 Hénot, Olivier
1 Henzinger, Thomas A.
1 Huo, Zenan
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1 Jaarsma, Max
...and 99 more Authors
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Cited in 44 Serials

6 Journal of High Energy Physics
5 Physica D
5 Journal of Theoretical Biology
4 Bulletin of Mathematical Biology
4 SIAM Journal on Applied Dynamical Systems
3 Journal of Computational Physics
2 Computer Physics Communications
2 Journal of Mathematical Biology
2 Applied Numerical Mathematics
2 Journal of Scientific Computing
1 Classical and Quantum Gravity
1 Computer Methods in Applied Mechanics and Engineering
1 General Relativity and Gravitation
1 Journal of Engineering Mathematics
1 Journal of Statistical Physics
1 Mathematical Biosciences
1 Applied Mathematics and Computation
1 Journal of Econometrics
1 Journal of Optimization Theory and Applications
1 Programming and Computer Software
1 SIAM Journal on Numerical Analysis
1 Theoretical Computer Science
1 Information and Computation
1 Journal of Economic Dynamics & Control
1 International Journal of Computer Mathematics
1 SIAM Journal on Mathematical Analysis
1 SIAM Journal on Optimization
1 Journal of Nonlinear Science
1 SIAM Journal on Scientific Computing
1 Nonlinear Dynamics
1 Chaos
1 Communications in Nonlinear Science and Numerical Simulation
1 Optimization and Engineering
1 Annales Henri Poincaré
1 Multiscale Modeling & Simulation
1 Statistical Applications in Genetics and Molecular Biology
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Communications in Computational Physics
1 ACM Communications in Computer Algebra
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1 SMAI Journal of Computational Mathematics
1 Communications on Applied Mathematics and Computation
1 SN Partial Differential Equations and Applications

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