An efficient Lagrangian interpolation scheme for computing flow maps and line integrals using discrete velocity data (Q1668712)

When only discrete velocity data at mesh points is available, the authors suggest a new Lagrangian approach for constructing flow maps of dynamical systems given by ODEs. Their method is based on an efficient interpolation scheme. In addition, an error analysis and a discussion of the computational complexity is given. Various nicely illustrated applications (double gyre flow, coherent ergodic partition as application to a real dataset, geometrical optics) conclude the paper.