Traditional step size controllers make the tacit assumption that cost of a time is independent size. This reasonable for explicit and implicit integrators use direct solvers. In context exponential integrators, however, an iterative approach, such as Krylov methods or polynomial interpolation, to compute action required matrix functions usually employed. this case, constant not valid. is, in pa...

Abstract Controlled growth of far-from-equilibrium-shaped nanoparticles with size selection is essential for the exploration their unique physical and chemical properties. Shape control by wet-chemistry preparation methods produces surfactant-covered surfaces limited understanding due to complexity processes involved. Here, we report controlled production transformation octahedra tetrahedra siz...