XBraid swMATH ID: 20698 Software Authors: Jacob Schroder, Robert Falgout, Tzanio Kolev, Ulrike Yang, Anders Petersson, Veselin Dobrev, Scott MacLachlan, Stephanie Friedhoff, Ben O'Neil Description: XBraid: Parallel Time Integration with Multigrid. Scientists at LLNL have developed an open source, non-intrusive, and general purpose parallel-in-time code, XBraid. A few important points about XBraid are as follows: The algorithm enables a scalable parallel-in-time approach by applying multigrid to the time dimension. It is designed to be nonintrusive. That is, users apply their existing sequential time-stepping code according to our interface, and then XBraid does the rest. Users have spent years, sometimes decades, developing the right time-stepping scheme for their problem. XBraid allows users to keep their schemes, but enjoy parallelism in the time dimension. XBraid solves exactly the same problem that the existing sequential time-stepping scheme does. XBraid is flexible, allowing for a variety of time stepping, relaxation, and temporal and spatial coarsening options. The full approximation scheme multigrid approach is used to accommodate nonlinear problems. XBraid written in MPI/C with C++ and Fortran 90 interfaces. XBraid is released under LGPL 2.1. Homepage: https://computation.llnl.gov/projects/parallel-time-integration-multigrid Related Software: PARAEXP; MGRIT; pySDC; LibPFASST; GitHub; RIDC; PETSc; ParaOpt; NumPy; Firedrake; PFASST; SWEET; Jupyter; Matplotlib; Pyclaw; SciPy; RODAS; Cube; PARAVER; Scalasca Cited in: 13 Publications all top 5 Cited by 31 Authors 5 Schroder, Jacob B. 2 Falgout, Robert D. 2 Gauger, Nicolas R. 2 Günther, Stefanie 2 Hessenthaler, Andreas 2 Kwok, Felix 2 Nordsletten, David A. 2 Ong, Benjamin W. 2 Röhrle, Oliver 2 Speck, Robert 1 Bolten, Matthias 1 Cyr, Eric C. 1 Dobrev, Veselin A. 1 Eggl, Maximilian F. 1 Friedhoff, Stephanie 1 Gander, Martin Jakob 1 Gocht, Andreas 1 Götschel, Sebastian 1 Hahne, Jens 1 Haynes, Ronald D. 1 Knobloch, Michael 1 Kolev, Tzanio V. 1 Ladd, Kyle 1 Lührs, Sebastian 1 Minion, Michael L. 1 Petersson, N. Anders 1 Ruthotto, Lars 1 Salomon, Julien 1 Schmid, Peter Joseph 1 Skene, Calum S. 1 Southworth, Ben S. all top 5 Cited in 6 Serials 5 SIAM Journal on Scientific Computing 3 ACM Transactions on Mathematical Software 1 Journal of Computational Physics 1 Numerical Linear Algebra with Applications 1 Optimization Methods & Software 1 SIAM Journal on Mathematics of Data Science all top 5 Cited in 6 Fields 12 Numerical analysis (65-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Partial differential equations (35-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Systems theory; control (93-XX) Citations by Year