… The general linear method is applied to many body problems and acceptable error in … linear
methods follow the same path as multistep methods for solving conservative problems. The …

… employing different step sizes for different partitions is labeled multiple integration. This …
partitioned equations of motion for each partition and the push-forward pullback time integration…

… The N-body problem is generally chaotic and non-integrable, so we … method is not an RK
method – it is known as a partitioned RK … This stepping can be regarded as a multistep method. …

… Partitioned Integration Methods Based on Newmark's Scheme In this section, we recall a
partitioned time integration method, the GC method,2 … time steps in di®erent subdomains. This …

… the range of interest o(1) ≤ γ ≤ O(1) and ξ = O(1). Then, we propose a multi-step algorithm
… ) iterations applied to the 4 × 4 block partition of the BE influence matrix naturally induced by …

… We present the N-body simulation techniques implemented in … by partitioning phase space
p ways so that each partition … As an example of the multistep procedure, let us consider only …

… Eventually, we integrate different spatial and time integration schemes toward a robust
computational framework. The present framework preserves the requisite second-order accuracy …

… numerical time integration is performed with different time … of single-step, multistep, and
multistage methods. A concrete … work, where we will discuss partitioned methods. In this paper, …

… Symmetric Multistep methods which belong in the same family of … For our numerical
experiments we approximate the infinite interval of integration by the finite interval of integration \(r\in […

… on the strongly-coupled partitioned method developed in [8]. The time integration used in this
… ‘θ-like’ method, which is combined with the partitioned approach used in [50]. The resulting …