PETSc/TS swMATH ID: 41126 Software Authors: Abhyankar, Shrirang; Brown, Jed; Constantinescu, Emil M.; Ghosh, Debojyoti; Smith, Barry F.; Zhang, Hong Description: PETSc/TS: A Modern Scalable ODE/DAE Solver Library. High-quality ordinary differential equation (ODE) solver libraries have a long history, going back to the 1970s. Over the past several years we have implemented, on top of the PETSc linear and nonlinear solver package, a new general-purpose, extensive, extensible library for solving ODEs and differential algebraic equations (DAEs). Package includes support for both forward and adjoint sensitivities that can be easily utilized by the TAO optimization package, which is also part of PETSc. The ODE/DAE integrator library strives to be highly scalable but also to deliver high efficiency for modest-sized problems. The library includes explicit solvers, implicit solvers, and a collection of implicit-explicit solvers, all with a common user interface and runtime selection of solver types, adaptive error control, and monitoring of solution progress. The library also offers enormous flexibility in selection of nonlinear and linear solvers, including the entire suite of PETSc iterative solvers, as well as several parallel direct solvers. Homepage: https://arxiv.org/abs/1806.01437 Keywords: Numerical Analysis; arXiv_math.NA; PETSc/TS; ODE/DAE Solver; Ordinary Differential Equations; Boundary value problems; Convergence and stability; Differential-algebraic equations; Error analysis; Intial value problems; Multistep and multivalue methods Related Software: PETSc; FEniCS; Gmsh; hypre; SUNDIALS; GitHub; RRK_rr; FreeFem++; MUMPS; p4est; HE-E1GODF; PetIGA; Julia; Firedrake; SyFi; COMSOL; PeliGRIFF; ARPACK; deal.ii; LAPACK Cited in: 51 Documents Standard Articles 1 Publication describing the Software Year PETSc/TS: A Modern Scalable ODE/DAE Solver Library arXiv Shrirang Abhyankar, Jed Brown, Emil M. Constantinescu, Debojyoti Ghosh, Barry F. Smith, Hong Zhang 2018 all top 5 Cited by 158 Authors 10 Dalcín, Lisandro D. 10 Parsani, Matteo 6 Del Rey Fernández, David C. 6 Zampini, Stefano 4 Ranocha, Hendrik 3 Carpenter, Mark H. 3 Castillo, Ernesto 3 Valseth, Eirik 2 Ameur, Firas Ben 2 Ashour, Mohammed 2 Boukharfane, Radouan 2 Constantinescu, Emil M. 2 Dawson, Clint N. 2 Furuta, Kozo 2 Goyal, Aashish 2 Izui, Kazuhiro 2 Jolivet, Pierre 2 Ketcheson, David I. 2 Kondoh, Tsuguo 2 Lani, Andrea 2 Li, Hao 2 Moraga, Nelson O. 2 Nishiwaki, Shinji 2 Nolasco, Irving Reyna 2 Poedts, Stefaan 2 Rabczuk, Timon 2 Rojas, Diego Alexander 2 Sayyari, Mohammed 2 Valizadeh, Navid 2 Vandenhoeck, Ray 2 Wachs, Anthony 2 Yamada, Takayuki 2 Zhang, Hong 2 Zhu, Benliang 1 Aggarwal, Ankush 1 Akkerman, Ido 1 Almquist, Martin 1 Anderson, Robert W. G. 1 Andrej, Julian 1 Ankudinov, Vladimir 1 Antonietti, Paola Francesca 1 Arndt, Daniel 1 Athanasiadis, Ignatios 1 Ba, Yuming 1 Balis, Joachim 1 Bangerth, Wolfgang 1 Barajas-Solano, David A. 1 Barker, Andrew T. 1 Benner, Peter 1 Bergbauer, Maximilian 1 Bisetti, Fabrizio 1 Bonetti, Elena 1 Bramwell, Jamie A. 1 Cabrales, Roberto Carlos 1 Caldana, Matteo 1 Camier, Jean-Sylvain 1 Cavaterra, Cecilia 1 Červený, Jakub 1 Chabiniok, Radomír 1 Chellappa, Sridhar 1 Churakov, Sergey V. 1 Cruchaga, Marcela A. 1 Dahm, Johann P. S. 1 Damiani, Leonardo Hax 1 de Wiljes, Jana 1 Deak, Nicholas 1 Dede’, Luca 1 Dener, Alp 1 Dhib, Rayan 1 Dobrev, Veselin A. 1 Dudouit, Yohann 1 Dunham, Eric M. 1 Engels, Thomas 1 Fan, Ronghong 1 Farge, Marie 1 Farrell, Patrick E. 1 Feder, Marco 1 Fehling, Marc 1 Feng, Lihong 1 Ferrer, Esteban 1 Freddi, Francesco 1 Fredrich, Lucas 1 Gassner, Gregor J. 1 Glaus, Martin A. 1 Gomez, Alfredo Duarte 1 Gómez, Héctor J. 1 González, Amaru 1 Grasselli, Maurizio 1 Hadri, Bilel 1 Haine, Ghislain 1 Hamilton, Aidan 1 He, Sida 1 Heinz, Johannes 1 Heister, Timo 1 Heltai, Luca 1 Hron, Jaroslav 1 Hu, Tianyi 1 Jacob, Robert L. 1 Jalving, Jordan 1 Jarolímová, Alena ...and 58 more Authors all top 5 Cited in 22 Serials 9 Journal of Computational Physics 8 Computer Methods in Applied Mechanics and Engineering 4 Computers and Fluids 4 Computers & Mathematics with Applications 3 Computational Geosciences 2 Computer Physics Communications 2 International Journal for Numerical Methods in Engineering 2 SIAM Journal on Scientific Computing 2 Communications in Computational Physics 2 SN Partial Differential Equations and Applications 1 International Journal of Engineering Science 1 Journal of Fluid Mechanics 1 Mathematical Methods in the Applied Sciences 1 ACM Transactions on Mathematical Software 1 Applied Mathematical Modelling 1 Vietnam Journal of Mathematics 1 Nonlinear Analysis. Real World Applications 1 Journal of Numerical Mathematics 1 International Journal of Numerical Analysis and Modeling 1 Mathematical Programming Computation 1 SIAM/ASA Journal on Uncertainty Quantification 1 Communications on Applied Mathematics and Computation all top 5 Cited in 15 Fields 40 Numerical analysis (65-XX) 30 Fluid mechanics (76-XX) 10 Partial differential equations (35-XX) 9 Mechanics of deformable solids (74-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Geophysics (86-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Optics, electromagnetic theory (78-XX) 2 Biology and other natural sciences (92-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) Citations by Year