1. 1 1 Capabilities: Suite of time integrators and nonlinear solvers  ODE integrators: (CVODE) variable order and step stiff BDF and non-stiff Adams, (ARKode) variable step implicit, explicit, and additive Runge-Kutta (coming soon)  DAE integrators: (IDA) variable order and step stiff BDF  CVODE and IDA include forward and adjoint sensitivity capabilities  KINSOL Newton-Krylov nonlinear solver (accelerated fixed point coming soon)  Written in C with interfaces to Fortran and Matlab  Designed to be incorporated into existing codes  Modular structure allows users to supply their own data structures  Supplied with serial and MPI parallel structures (OpenMP & Pthreads coming soon)  Both autoconf and CMAKE support configuration and build  Freely available, released under BSD license; Over 3,000 downloads each year from all over the world  Active user community supported by sundials-users email list Hosted at LLNL, Archived at nabble: http://sundials.2283335.n4.nabble.com/ SUNDIALS: SUite of Nonlinear and DIfferential / ALgebraic equation Solvers https://computation.llnl.gov/casc/sundials/main.html

2. 2 2  Ascertain material properties of crystal lattices through modeling evolution of lattice dislocations  Adaptive grid and topology changes  MPI and OpenMP parallel  Original strategy was 2 nd order Trapezoid with fixed point solver  Accelerated solver with KINSOL  Applied 3 rd order ARKode integrator  Developed hybrid MPI/OpenMP vector kernel KINSOL and ARKode have enabled faster dislocation dynamics simulations KINSOL gave ~12% speedup over ParaDiS on 262,000 cores of the LLNL Sequoia machine Both KINSOL and ARKode solvers gave over ~30% and ~60% speedups over the native ParaDiS solver on early and late time problems while dramatically reducing the number of time steps

3. 3 3 SUNDIALS has been used worldwide in applications from research and industry  Power grid modeling (RTE France, ISU)  Simulation of clutches and power train parts (LuK GmbH & Co.)  Electrical and heat generation within battery cells (CD-adapco)  3D parallel fusion (SMU, U. York, LLNL)  Implicit hydrodynamics in core collapse supernova (Stony Brook)  Dislocation dynamics (LLNL)  Sensitivity analysis of chemically reacting flows (Sandia)  Large-scale subsurface flows (CO Mines, LLNL)  Optimization in simulation of energy- producing algae (NREL)  Micromagnetic simulations (U. Southampton) Magnetic reconnection Core collapse supernova Dislocation dynamics Subsurface flow More than 3,000 downloads each year