I thought that instead of the great number of precepts of which logic is composed, I would
have enough with the four following ones, provided that I made a firm and unalterable …

It has been 16 years since Kang Feng passed away. It is our honor to publish the English
version of Symplectic Algorithm for Hamiltonian Systems, so that more readers can see the …

In this paper we describe a general framework for deriving modified equations for stochastic
differential equations (SDEs) with respect to weak convergence. Modified equations are …

This work focuses on the derivation of composition methods for the numerical integration of
ordinary differential equations, which give rise to very challenging optimization problems …

In this paper we study the problem of the numerical calculation (by Monte Carlo methods) of
the effective diffusivity for a particle moving in a periodic divergent-free velocity field, in the …

We discuss the construction of volume-preserving splitting methods based on a tensor
product of single-variable basis functions. The vector field is decomposed as the sum of …

We consider a two dimensional particle diffusing in the presence of a fast cellular flow
confined to a finite domain. If the flow amplitude A is held fixed and the number of cells …

We present a new approach to ecosystem nutrient cycle simulations. Nutrient conversion
and fluxes between ecosystem compartments are driven by highly complex biogeochemical …

In this paper, we focus on construction of high order volume preserving integrators for
divergence-free vector fields of the monomial basis, exponential basis and tensor product of …

We discuss the construction of volume-preserving splitting methods based on a tensor
product of single-variable basis functions. The vector field is decomposed as the sum of …