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Abstract This paper is concerned with the numerical approximation of stochastic mechanical systems with nonlinear holonomic constraints. The considered systems are described by second- order ...
) showed that the backward EM schemes converge if the diffusion coefficients are globally Lipschitz while the drift coefficient satisfies a one-sided Lipschitz condition. More details on the implicit methods ...
is used in space and a stochastic exponential method is used for the temporal approximation. Observe that the proposed exponential scheme does not suffer from any kind of CFL-type step size restriction ...
deterministically while other components are treated with a stochastic model [32]. Further hybrid methods determine their stochastic species based on the variance [33, 34]. Derived from fundamental chemical reactions ...
algorithms based on finite difference, finite element or spectral Galerkin methods (for the space discretization), and on Euler schemes, Crank–Nicolson or Runge – Kutta schemes (for the temporal discretization ...
Introduction Foraging for resources—shelter, food, etc.—is one of the fundamental problems an organism must solve in order to survive and reproduce, ensuring the continuity of its species [1]. Many ...
of the Fokker-Planck model using an accurate finite volume scheme with implicit time discretization (cf. Sect. Methods ), (ii) the parallelized precalculation of the quantities required by the low-dimensional ...
and medial septum, hippocampus, thalamus, midbrain, and other subcortical areas (Table 1; Methods ). Download: PPT PowerPoint slide PNG larger image TIFF original image Table 1. Identified cell counts from ...
interface (with normal vector |$\boldsymbol {n}$|), using an improved second- order hydrodynamic scheme with Green–Gauss gradient estimates and a Runge – Kutta time integration (Pakmor et al. 2016a). We ...
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