Sentence examples for convergent approximation from inspiring English sources

By Theorem 1, we can replace our utility function with a smooth, uniformly convergent approximation, which can be locally maximized in the power control loop.

Even more importantly, Equations 14 and 15 reveal that for T and Vee, any form of accurate and fast convergent approximation of density functional can be used as a substitute of Equations 4 and 5, making the SCF algorithm described above general.

The numerical scheme was then extended to solve the American option problem on coupon bonds and the scheme's ability to compute highly accurate convergent approximations was demonstrated numerically.

Furthermore, as (X^{mathrm{ou}}) and (X^{mathrm{w}}) converge towards X in the mean-square sense, (boldsymbol {eta }^{mathrm{ou}}_{Delta t}) and (boldsymbol {eta }^{mathrm{w}}_{Delta t}) are convergent approximations of the original invariant measure η (see [53], Theorem 3.3, for details).

This is accomplished through the development of a convergent stochastic approximation form of estimator for the common variance value.

For the discretisation with respect to the momentum variable, we employ spectrally convergent basis approximations using both Legendre polynomials and Gaussian radial basis functions.

The aim here is to construct an ε-uniformly numerical method which gives ε-uniformly convergent numerical approximations to solve problem (1)–(3).

Our goal is to construct a -uniform numerical method for solving problem (1.1), that is, a numerical method which generates -uniformly convergent numerical approximations to the solution.

Our goal is to construct an ε-numerical method for solving (1.1 - 1.2 1.1 - 1.2h we mean a numerical method which generates ε-uniformly convergent numerical approximations to the solution.

We prove that the MEL schemes provide a convergent and monotone approximation also to PDE's with discontinuous coefficients.

The proposed approach accurately renders both smooth and non-smooth portions of a surface: it yields super-algebraically convergent Fourier series approximations to a given surface up to and including all points of geometric singularity, such as corners, edges, conical points, etc.