PETSc/TS swMATH ID: 41126 Software Authors: Shrirang Abhyankar, Jed Brown, Emil M. Constantinescu, Debojyoti Ghosh, Barry F. Smith, Hong Zhang 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; GitHub; SUNDIALS; Firedrake; SyFi; RRK_rr; Julia; revolve; HE-E1GODF; hIPPYlib; Nek5000; p4est; PetIGA; FreeFem++; hypre; VTK; AMPL; StochasticPrograms.jl Cited in: 32 Publications Standard Articles 1 Publication describing the Software Year PETSc/TS: A Modern Scalable ODE/DAE Solver Library Shrirang Abhyankar, Jed Brown, Emil M. Constantinescu, Debojyoti Ghosh, Barry F. Smith, Hong Zhang 2018 all top 5 Cited by 97 Authors 9 Dalcín, Lisandro D. 9 Parsani, Matteo 6 Del Rey Fernández, David C. 5 Zampini, Stefano 3 Carpenter, Mark H. 3 Ranocha, Hendrik 3 Valseth, Eirik 2 Boukharfane, Radouan 2 Dawson, Clint N. 2 Moraga, Nelson O. 2 Nolasco, Irving Reyna 2 Rojas, Diego Alexander 2 Sayyari, Mohammed 1 Akkerman, Ido 1 Almquist, Martin 1 Anderson, Robert W. G. 1 Andrej, Julian 1 Ashour, Mohammed 1 Ba, Yuming 1 Barajas-Solano, David A. 1 Barker, Andrew T. 1 Bramwell, Jamie A. 1 Cabrales, Roberto Carlos 1 Camier, Jean-Sylvain 1 Castillo, Ernesto 1 Červený, Jakub 1 Chabiniok, Radomír 1 Constantinescu, Emil M. 1 Cruchaga, Marcela A. 1 Dahm, Johann P. S. 1 de Wiljes, Jana 1 Dobrev, Veselin A. 1 Dudouit, Yohann 1 Dunham, Eric M. 1 Engels, Thomas 1 Fan, Ronghong 1 Farge, Marie 1 Ferrer, Esteban 1 Fredrich, Lucas 1 Furuta, Kozo 1 Gassner, Gregor J. 1 Gómez, Héctor J. 1 González, Amaru 1 Hadri, Bilel 1 He, Sida 1 Hron, Jaroslav 1 Hu, Tianyi 1 Izui, Kazuhiro 1 Jalving, Jordan 1 Jarolímová, A. 1 Jolivet, Pierre 1 Kaul, Austin R. 1 Ketcheson, David I. 1 Keyes, David Elliot 1 Kirby, Robert C. 1 Kolev, Tzanio V. 1 Kondoh, Tsuguo 1 Kopriva, David Alan 1 Leng, Yu 1 Li, Hao 1 Li, Jiao 1 Liu, Han 1 Lu, Benzhuo 1 Málek, Josef 1 Marchena-Menéndez, Jorge 1 Nishiwaki, Shinji 1 Oliver, Dean S. 1 Ollivier-Gooch, Carl F. 1 Osses, G. 1 Pazner, Will E. 1 Rabczuk, Timon 1 Rajagopal, Kumbakonam Ramamani 1 Reich, Sebastian 1 Reiss, Julius 1 Romkes, Albert 1 Rubio, Gonzalo 1 Rueda-Ramírez, Andrés Mauricio 1 Schneider, Kai 1 Shen, Lian 1 Shin, Sungho 1 Smith, Barry F. 1 Stowell, Mark L. 1 Suh, Hyoung Suk 1 Sun, WaiChing 1 Švihlová, Helena 1 Tartakovsky, Alexandre M. 1 Tomov, Vladimir Z. 1 Tůma, Karel 1 Valero, Eusebio 1 Valizadeh, Navid 1 Winters, Andrew R. 1 Yamada, Takayuki 1 Ying, Jinyong 1 Zandsalimy, Mohammad 1 Zavala, Victor M. 1 Zhang, Hong 1 Zhu, Benliang all top 5 Cited in 14 Serials 8 Journal of Computational Physics 5 Computer Methods in Applied Mechanics and Engineering 4 Computers & Mathematics with Applications 2 Computers and Fluids 2 SIAM Journal on Scientific Computing 2 Computational Geosciences 2 SN Partial Differential Equations and Applications 1 International Journal of Engineering Science 1 Journal of Fluid Mechanics 1 ACM Transactions on Mathematical Software 1 Applied Mathematical Modelling 1 Communications in Computational Physics 1 Mathematical Programming Computation 1 SIAM/ASA Journal on Uncertainty Quantification all top 5 Cited in 11 Fields 24 Numerical analysis (65-XX) 19 Fluid mechanics (76-XX) 8 Partial differential equations (35-XX) 6 Mechanics of deformable solids (74-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Optics, electromagnetic theory (78-XX) 2 Geophysics (86-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Probability theory and stochastic processes (60-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year