Sentence examples for methods with first from inspiring English sources

Methods with first derivatives are: Sequential Unconstrained Minimization Technique (SUMT), Davidon-Fletcher-Powell, etc. Methods with second derivatives are: Newton, Sequential Quadratic Programming, SQP, the Feasible SQP.

In this paper, we propose two energy-stable linear semi-implicit methods with first and second order temporal accuracies respectively for solving the nonlocal Cahn Hilliard equation.

Motivated by Perthame and Shu (1996) [20] and Zhang and Shu (2010) [26], a general framework, for arbitrary order of accuracy, is established to construct a positivity preserving limiter for the finite volume and DG methods with first order Euler forward time discretization solving one-dimensional compressible Euler equations.

In the last two years, the team has applied these methods with second year students at the Faculty of Architecture.

LS methods belong to generalized linear multi-step class of integration methods with second derivative (GLMSd2) and employ direct use of non-modified dynamic equations.

They were about 50 65% more efficient when the first-phase sampling involved complete enumeration of the N sampling units in the population but less, 25 35%, when the first-phase sample was much smaller (methods with first-phase sample size = f in Table 5).

Briefly, immunohistochemistry was performed using indirect immunoperoxidase method with first antibody to E-cadherin and vimentin, followed by incubation with biotinylated secondary antibody and subsequent incubation with streptavidin-peroxidase complex (Vectastain ABC kit, Vector Laboratories).

Previous studies have, however, shown that the order in which capsaicin concentrations are given is of importance for the cough outcome of capsaicin provocations [ 14, 18] and that in patients with SHR even inhalation of saline induced coughing [ 11, 37]; these findings influenced our choice of method, with first saline and then low and high concentration of capsaicin being given.

In this cross-sectional population-based study, we investigated the association between the quality of functioning in PTAMs, categorised into four levels by annual quality assessments, and the quality of prescribing, measured by the DU90% method with first dispensing of participating GPs for three indicator types within the seven mostly prescribed groups of drugs based on dispensing data.

A finite difference method with second-order accuracy is used to solve the numerical model.

We present a backward semi-Lagrangian method with third-order temporal accuracy for solving the guiding center problem.