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; GitHub; CVODES; Trilinos; ADOL-C; CVODE; hypre; VODE; deal.ii; Python; UMFPACK; MUMPS; CasADi; LAPACK; Gmsh; Ipopt; DASSL; MATLAB ODE suite
Cited in: 256 Documents
all top 5

Cited by 609 Authors

7 Bangerth, Wolfgang
7 Heltai, Luca
7 Moroney, Timothy J.
7 Pelteret, Jean-Paul
7 Woodward, Carol S.
6 Arndt, Daniel
6 Diehl, Moritz Mathias
6 Heister, Timo
6 Kronbichler, Martin
6 Maier, Matthias Sebastian
6 Turcksin, Bruno
5 Fehling, Marc
5 Hasenauer, Jan
4 Barton, Paul I.
4 Brown, Peter N.
4 Munch, Peter
4 Nedialkov, Nedialko S.
4 Pryce, John D.
3 Birken, Philipp
3 Bisetti, Fabrizio
3 Cébron, David
3 Cheng, Yingda
3 Christlieb, Andrew J.
3 Constantinescu, Emil M.
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 McCue, Scott William
3 Quirynen, Rien
3 Reynolds, Daniel R.
3 Sager, Sebastian
3 Samtaney, Ravi
3 Scott, Joseph K.
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 Blais, Bruno
2 Bortz, David M.
2 Bourke, Timothy
2 Carr, Elliot Joseph
2 Chachuat, Benoît
2 Chernyshenko, Alexey Yu.
2 Clevenger, Thomas C.
2 Danilov, Alexander A.
2 Davydov, Denis
2 De Dieuleveult, Caroline
2 Elsheikh, Atiyah
2 Evans, Emily J.
2 Feder, Marco
2 Gambin, Anna
2 Grant, Christopher P.
2 Gros, Sebastien
2 Hansen, Michael Alan
2 Haut, Terry S.
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 Le Bars, Michael
2 Liogky, Alexey A.
2 Loffeld, John
2 Marquardt, Wolfgang
2 Mo, Zeyao
2 Olivier, Samuel S.
2 Paolucci, Samuel
2 Pazner, Will E.
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 Scott, Joseph Kirk
2 Shen, Kai
2 Skote, Martin
2 Smith, William V.
2 Spiteri, Raymond J.
2 Sutherland, James Clayton
2 Tan, Guangning
2 Timmer, Jens
2 Tokman, Mayya
2 Tourigny, David S.
...and 509 more Authors
all top 5

Cited in 94 Serials

30 Journal of Computational Physics
11 SIAM Journal on Scientific Computing
10 Journal of Computational and Applied Mathematics
9 Computers and Fluids
9 Journal of Theoretical Biology
8 Computer Methods in Applied Mechanics and Engineering
6 ACM Transactions on Mathematical Software
6 Journal of Numerical Mathematics
5 Journal of Fluid Mechanics
5 Mathematical Biosciences
5 Applied Mathematical Modelling
4 Journal of Mathematical Biology
4 Multibody System Dynamics
3 Annals of Science
3 Computers & Mathematics with Applications
3 Applied Mathematics and Computation
3 Mathematics and Computers in Simulation
3 Computational Mechanics
3 Optimization Methods & Software
3 Computational Geosciences
3 Combustion Theory and Modelling
3 SIAM Journal on Applied Dynamical Systems
3 Mathematical Programming Computation
2 Archive for History of Exact Sciences
2 Computer Physics Communications
2 European Journal of Physics
2 Journal of Engineering Mathematics
2 Automatica
2 Journal of Optimization Theory and Applications
2 SIAM Journal on Numerical Analysis
2 MCSS. Mathematics of Control, Signals, and Systems
2 International Journal of Numerical Methods for Heat & Fluid Flow
2 Russian Journal of Numerical Analysis and Mathematical Modelling
2 Communications in Nonlinear Science and Numerical Simulation
2 Journal of Cosmology and Astroparticle Physics
2 Nonlinear Analysis. Hybrid Systems
2 SIAM/ASA Journal on Uncertainty Quantification
2 Journal of Computational and Theoretical Transport
1 Biological Cybernetics
1 Centaurus
1 Geophysical and Astrophysical Fluid Dynamics
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 Bulletin of Mathematical Biology
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 Mathematical Programming. Series A. Series B
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 Computing and Visualization in Science
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 Boletín de Matemáticas. Nueva Serie
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 SMAI Journal of Computational Mathematics
1 Bernard Bolzano-Gesamtausgabe. Reihe II: Nachlaß. B. Wissenschaftliche Tagebücher
1 Islamic Philosophy, Theology, and Science
1 Journal of Computational Physics: X

Citations by Year