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Inspired by recent advances in the theory of modified differential equations, we propose a new methodology for constructing numerical integrators with high weak order for the time integration of stochastic differential equations. This approach is illustrat ...
Traditional local approaches to continuum damage mechanics are known to lead to mesh dependency due to damage localization. Some corrections for this ill-posed problem exist through localization limiters. The integral non-local regularization is widely use ...
An explicit scheme for wave propagation modeling of indoor environments is presented. The technique is based on the hybrid parabolic-integral equation method, which provides a correction to the parabolic equation method through a Green's function formulati ...
The goal of this master thesis was to improve an existing rainfall-runoff model to better represent the dynamics of runoff generation at the catchment scale. The used model is a so-called geomorphological model, which is a spatially explicit hydrological m ...
The self- and collective-diffusion behaviors of adsorbed methane, helium, and isobutane in zeolite frameworks LTA, MFI, AFI, and SAS were examined at various concentrations using a range of molecular simulation techniques including Molecular Dynamics (MD), ...
In this work we deal with the numerical solution of the fluid-structure interaction problem arising in the haemodynamic environment. In particular, we consider BDF and Newmark time discretization schemes, and we study different methods for the treatment of ...
In this report we study and compare particular integration methods to solve ordinary differential equations, which are separable in solvable parts. The main source for this work is the article of Blanes and Casas: "On the necessity of negative coefficient ...
Superconducting magnets can exhibit training quenches during successive powering to reaching nominal performance. The slip-stick motion of the conductors is considered to be one of the mechanisms of training. In this paper we present a simple quantitative ...
This paper presents the OpenMP parallel implementation of the Distinct Lattice Spring Model (DLSM). The motivation of this study is to reduce the computing time and increase the computational capacity of the DLSM code. Firstly, the basic theory of DLSM is ...
We noted that the tunneling-percolation framework is quite well understood at the extreme cases of percolation-like and hopping-like behaviors but that the intermediate regime has not been previously discussed, in spite of its relevance to the intensively ...