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SUNDIALS

swMATH ID: 927
Software Authors: Hindmarsh, Alan C.; Brown, Peter N.; Grant, Keith E.; Lee, Steven L.; Serban, Radu; Shumaker, Dan E.; Woodward, Carol S.
Description: SUNDIALS was implemented with the goal of providing robust time integrators and nonlinear solvers that can easily be incorporated into existing simulation codes. The primary design goals were to require minimal information from the user, allow users to easily supply their own data structures underneath the solvers, and allow for easy incorporation of user-supplied linear solvers and preconditioners.
The main numerical operations performed in these codes are operations on data vectors, and the codes have been written in terms of interfaces to these vector operations. The result of this design is that users can relatively easily provide their own data structures to the solvers by telling the solver about their structures and providing the required operations on them. The codes also come with default vector structures with pre-defined operation implementations for both serial and distributed memory parallel environments in case a user prefers not to supply their own structures. In addition, all parallelism is contained within specific vector operations (norms, dot products, etc.) No other operations within the solvers require knowledge of parallelism. Thus, using a solver in parallel consists of using a parallel vector implementation, either the one provided with SUNDIALS, or the user’s own parallel vector structure, underneath the solver. Hence, we do not make a distinction between parallel and serial versions of the codes.
Homepage: https://computation.llnl.gov/casc/sundials/description/description.html
Related Software: PETSc; Matlab; RODAS; CVODES; Trilinos; ADOL-C; CVODE; GitHub; VODE; Python; UMFPACK; deal.ii; LAPACK; Ipopt; Gmsh; hypre; DASSL; COMSOL; MUMPS; MATLAB ODE suite
Cited in: 222 Publications
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Cited by 507 Authors

7 Moroney, Timothy J.
7 Woodward, Carol S.
6 Bangerth, Wolfgang
6 Heltai, Luca
6 Pelteret, Jean-Paul
5 Arndt, Daniel
5 Diehl, Moritz Mathias
5 Hasenauer, Jan
5 Heister, Timo
5 Kronbichler, Martin
5 Maier, Matthias Sebastian
5 Scott, Joseph K.
5 Turcksin, Bruno
4 Barton, Paul I.
4 Fehling, Marc
3 Brown, Peter N.
3 Cheng, Yingda
3 Christlieb, Andrew J.
3 Costanzo, Francesco
3 Dallon, John C.
3 Erhel, Jocelyne
3 Gassmöller, Rene
3 Jeremić, Boris
3 Jimack, Peter K.
3 Lee, Steven L.
3 Loffeld, John
3 McCue, Scott William
3 Munch, Peter
3 Pryce, John D.
3 Quirynen, Rien
3 Reynolds, Daniel R.
3 Samtaney, Ravi
3 Serban, Radu
3 Sett, Kallol
3 Theis, Fabian Joachim
3 Turner, Ian William
3 Yang, Qianqian
3 Zhong, Xinghui
2 Åkesson, Johan
2 Alexe, Mihai
2 An, Hengbin
2 Andersson, Joel A. E.
2 Birken, Philipp
2 Blais, Bruno
2 Bortz, David M.
2 Bourke, Timothy
2 Carr, Elliot Joseph
2 Cébron, David
2 Chachuat, Benoît
2 Clevenger, Thomas C.
2 Constantinescu, Emil M.
2 Davydov, Denis
2 De Dieuleveult, Caroline
2 Elsheikh, Atiyah
2 Evans, Emily J.
2 Gambin, Anna
2 Grant, Christopher P.
2 Gros, Sebastien
2 Hansen, Michael Alan
2 Hegedűs, Ferenc
2 Heiner, Monika
2 Herajy, Mostafa
2 Hernández Pérez, Francisco E.
2 Houska, Boris
2 Ibn al-Haytham
2 Ibrahim, Imran Halimi Bin
2 Im, Hong G.
2 Jiang, Canghua
2 Marquardt, Wolfgang
2 Mo, Zeyao
2 Nedialkov, Nedialko S.
2 Paolucci, Samuel
2 Pethiyagoda, Ravindra
2 Pouzet, Marc
2 Pytlak, Radosław
2 Rashed, Roshdi
2 Rubin, Jonathan E.
2 Rybiński, Mikołaj
2 Sandu, Adrian
2 Sankaran, Ramanan
2 Shen, Kai
2 Skote, Martin
2 Smith, William V.
2 Sutherland, James Clayton
2 Tan, Guangning
2 Timmer, Jens
2 Tokman, Mayya
2 Tourigny, David S.
2 Vassilevski, Yuri V.
2 Villanueva, Mario Eduardo
2 Wang, Hai
2 Weindl, Daniel
2 Xu, Xiaowen
2 Yu, Ming
2 Zanon, Mario
1 Abad, Alberto J.
1 Abdelsamie, Abouelmagd
1 Abdulla, Ugur G.
1 Abukhdeir, Nasser Mohieddin
1 Ahmed, Sarfraz
...and 407 more Authors
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Cited in 85 Serials

25 Journal of Computational Physics
10 SIAM Journal on Scientific Computing
9 Journal of Computational and Applied Mathematics
9 Journal of Theoretical Biology
6 Computer Methods in Applied Mechanics and Engineering
6 ACM Transactions on Mathematical Software
5 Computers and Fluids
5 Journal of Fluid Mechanics
5 Mathematical Biosciences
5 Journal of Numerical Mathematics
4 Journal of Mathematical Biology
3 Annals of Science
3 Computers & Mathematics with Applications
3 Applied Mathematics and Computation
3 Mathematics and Computers in Simulation
3 Applied Mathematical Modelling
3 Multibody System Dynamics
3 Optimization Methods & Software
3 SIAM Journal on Applied Dynamical Systems
3 Mathematical Programming Computation
2 Archive for History of Exact Sciences
2 European Journal of Physics
2 BIT
2 Journal of Optimization Theory and Applications
2 SIAM Journal on Numerical Analysis
2 Computational Mechanics
2 MCSS. Mathematics of Control, Signals, and Systems
2 International Journal of Numerical Methods for Heat & Fluid Flow
2 Communications in Nonlinear Science and Numerical Simulation
2 Computational Geosciences
2 Combustion Theory and Modelling
2 Journal of Cosmology and Astroparticle Physics
2 Nonlinear Analysis. Hybrid Systems
2 SIAM/ASA Journal on Uncertainty Quantification
1 Biological Cybernetics
1 Centaurus
1 Computer Physics Communications
1 International Journal of Control
1 International Journal for Numerical and Analytical Methods in Geomechanics
1 International Journal for Numerical Methods in Fluids
1 Inverse Problems
1 Journal of Engineering Mathematics
1 Bulletin of Mathematical Biology
1 Automatica
1 Fuzzy Sets and Systems
1 Istoriko-Astronomicheskie Issledovaniya
1 Journal of Computer and System Sciences
1 Journal of Differential Equations
1 Numerical Functional Analysis and Optimization
1 Numerische Mathematik
1 SIAM Journal on Control and Optimization
1 Optimal Control Applications & Methods
1 Applied Numerical Mathematics
1 Journal of Economic Dynamics & Control
1 Journal of Scientific Computing
1 Computational Statistics
1 Linear Algebra and its Applications
1 Proceedings of the National Academy of Sciences of the United States of America
1 Computational Optimization and Applications
1 Mathematica Montisnigri
1 Communications in Numerical Methods in Engineering
1 Numerical Linear Algebra with Applications
1 International Journal of Computer Vision
1 Arabic Sciences and Philosophy
1 Advances in Computational Mathematics
1 Journal of Computational Neuroscience
1 Discrete and Continuous Dynamical Systems
1 ACM Transactions on Modeling and Computer Simulation
1 Nonlinear Dynamics
1 Mathematical and Computer Modelling of Dynamical Systems
1 European Journal of Mechanics. A. Solids
1 European Journal of Mechanics. B. Fluids
1 Journal of Computational Analysis and Applications
1 Optimization and Engineering
1 Mathematical Medicine and Biology
1 Acta Numerica
1 Foundations of Physics
1 Mathematical Biosciences and Engineering
1 Islamic Mathematics and Astronomy
1 Discrete and Continuous Dynamical Systems. Series S
1 Advances in Applied Mathematics and Mechanics
1 Acta Historica Astronomiae
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Methods in Molecular Biology
1 Bernard Bolzano-Gesamtausgabe. Reihe II: Nachlaß. B. Wissenschaftliche Tagebücher

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