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A new space time discontinuous Galerkin finite element method for the solution of the Euler equations of gas dynamics in time-dependent flow domains is presented.
It permits the application of well tested engineering concepts for control systems design; the complex physics associated with quantum dynamics in time-dependent environments with non-commuting noise and control Hamiltonians is relegated to the calculation of the generalized filter transfer functions themselves, and once derived these may be deployed in block-diagram systems analyses [41].
The orchestration of various kinds of network dynamics in individual cells thus results in time-dependent morphological changes in developing embryos and gives rise to a rich variety of structures of living organs.
Gradient-based aerodynamic shape optimization using computational fluid dynamics (CFD), and time dependent problems in aeroelasticity, that is, coupled calculations between computational structural mechanics (CSM) and CFD, require repeated deformations of the CFD mesh.
In order to further explore the dynamics of time-dependent development of spike discharges, we examined properties of the derived neurons in voltage clamp mode at the same time-points listed above.
Such similarity has already been utilised in the so-called 'frozen pulse' approximation where dynamics of time-dependent relativistic flows is analyzed using the steady-state equations (Piran et al. 1993; Vlahakis and Königl 2003; Sapountzis and Vlahakis 2013).
In this approximation, the steady-state equations are used to analyze the dynamics of time-dependent flows.
Equations (9)–(11) determine the interface dynamics for time-dependent spatially localised bump solutions that respect the Dirichlet boundary condition.
The overall supra-fold dynamics of multi-domain proteins is thus governed by time dependent changes in both the internal conformations of individual domains and the 3D organization of these domains with respect to each other.
Moreover, their effects on soil water dynamics were time-dependent.
A similar correspondence was found when comparing the quasispecies time dependent dynamics towards steady state.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com