Sentence examples for implemented to approximate from inspiring English sources
This exponential Jacobi pseudospectral method is implemented to approximate solutions to high-order ordinary differential equations (ODEs) on semi-infinite intervals.
To improve the numerical efficiency of the optimization, a multi-quadric response surface method was implemented to approximate the response of finite element simulations for each loading condition.
Wavelet neural network (WNN) is implemented to approximate the uncertainties present in the system as well as to identify and compensate the nonlinearities introduced in the system due to actuator saturation.
A nine node finite element is implemented to approximate the solution field, and the Mixed Interpolation of Tensorial Components (MITC) method is used to contrast the membrane and shear locking phenomena.
A nonlinear finite element analysis is implemented to approximate the stress distributions induced by the crankshaft rolling process, and a crack modeling technique is developed to calculate the equivalent stress intensity factor ranges based on the combined residual and operational stress distributions along various crack growth planes.
A Metropolis-Hastings MCMC sampling algorithm was then implemented to approximate the posterior distributions of the parameters.
The method is simple and easy to implement to approximate potential-dependent activation energies at the computational cost of a singly hydrogenation barrier calculation and can aid in the development of more active and selective catalysts for electrochemical reactions.
IRKHSM were successfully implemented to get approximate solutions of the fractional Riccati differential equations.
The homotopy analysis method is implemented to give approximate and analytical solutions for the Klein-Gordon equation [14].
In this paper, the Ritz-Galerkin method in Bernstein polynomial basis is implemented to obtain an approximate solution of a nonclassical parabolic equation subject to given initial and moving boundary conditions.
Based on the stability theory of fractional-order systems, the generalized backstepping method (GBM) is implemented to give the approximate solution for the fractional-order error system of the two new fractional-order hyperchaotic systems.
