Euler-Maruyama algorithm integrated these equations with a time step of 0.1 seconds to accelerate simulation79. The free bifurcation parameter \({{{\rm{a}}}_{{{\rm{j}}}\) for parcel/region j could be locally optimized based on fitting the spectral information of the empirical BOLD signals....
Bisheh and Wu25investigated the wave propagation problem of PZ cylindrical composite shells reinforced with carbon nanotubes utilizing FSDT and Mori–Tanaka method. Li et al.26suggested a smart model for the vibration control of discontinuous PZ laminated shell with point supported elastic boundary cond...
We imported ITK rigid image registration methods into CERR, including affine transform, similarity transform, Euler3D transform, versor3D transform, etc. We also implemented a multi-grid framework to improve the speed and accuracy of the automatic registration process. In addition, we implemented 3D ...
The human brain consists of extremely dense networks of computational (neurons) and memory elements (synapses), all of which operate at very low energy levels, using only 20 fJ per operation1,2. There are ~1011neurons in the human brain, with the corresponding ~1015total synapses1,3. The n...
The Euler method was used to discretize the system state equation and variables, which can be expressed in the prediction control horizon as 𝑥(𝑘+1|𝑘)=𝑓(𝑥(𝑘),𝑁𝑓𝑎𝑛(𝑘),𝑁𝑝𝑢𝑚𝑝(𝑘))=𝐹(𝑥(𝑘),𝑁𝑓𝑎𝑛(𝑘),𝑁𝑝𝑢𝑚𝑝(𝑘...
(as shown in the Supplementary Materials), two nodes’ truss finite elements (FEs) were adopted and the non-linear FEM problem was solved in MATLAB; the space discretization of the wallboard uses 100 FEs, while for the temporal one, an implicit backward Euler method with a time stepping of...
Next, the number of samples N and the sampling time T s have to be defined, along with a transcription method of choice: Multiple shooting with an integrator of choice (e.g., forward Euler, backward Euler, etc.); Direct collocation with a degree of choice. This automatically creates the...
Cart3D is a finite volume method based on the Euler equations that is suitable for the flow field analysis of an aircraft with a wide speed range from subsonic to hypersonic speeds [19]. It is capable of automatic Cartesian mesh generation and requires less computational time. Cart3D has shown...
In a simple approach, elasticity forces 𝝉elτel can be considered using approximations such as spring stiffness or Euler–Bernoulli beams. 2.2.5. Parametric Formulation of the Actuation System For the actuation system, actuators and the battery are parametrically modeled. Parameters are reflected ...
The traditional navigation method has a divergence in the position error. A deeply integrated mode for SINS/CNS navigation system is proposed to improve the navigation accuracy of ballistic missile. The deeply integrated navigation principle is described and the observability of the navigation system is...