Sentence examples for representations of derivative from inspiring English sources

We construct multiresolution representations of derivative and exponential operators with linear boundary conditions in multiwavelet bases and use them to develop a simple, adaptive scheme for the solution of nonlinear, time-dependent partial differential equations.

Our simulations results indicate that the initial receptor-ligand interaction observed after docking could be limited due to the receptor rigid docking algorithm and that the conformations and interactions observed after simulation runs are more energetically favored and should be better representations of derivative poses in the receptor.

The scheme combines and truncates the pseudospectral representation of derivative for convergence acceleration.

Our simulation results indicate that the initial receptor-ligand interaction observed after docking can be limited due to the receptor rigid docking algorithm and that the conformations and interactions observed after the simulation runs are more energetically favored and should be better representations of the derivative poses in the receptor.

Diffusive representations of fractional derivatives are used, first to prove existence and uniqueness results, then to design a numerical scheme which avoids the storage of the entire history of past data.

A feasible way to realize this method is using the features of abrupt changes in the instantaneous frequency rate curve which derived by the short-term general representation of phase derivative.

Approximation representation of a derivative of fractional order has a highly complicated formula compared to those of integer order because fractional derivatives are nonlocal, and therefore the calculation at a particular point requires knowledge of the function further out of the region close to that point.

Such a method is based on a certain finite-dimensional matrix representation of the derivative d/dx obtained through Lagrange's interpolation.

We give a representation of the derivative of s λ,h) related to the resonances of P(h), and we obtain a Weyl-type asymptotics of s λ,h).

General representation of phase derivative.

It appears that the less restrictive representation of fractional derivative according to parameters is Pochhammer's contour definition introduced in [21, 22].