Sentence examples for methods of degree from inspiring English sources

Although it is not fair to compare the numerical results of a method with boundary conditions to a method without boundary conditions, our proposed methods of degree reduction give errors that are smaller than existing methods.

A reduction and recovering methods of degree-of-freedom in structural dynamic analysis is proposed.

Hu and Wang presented in [16] a method of degree reduction without any boundary conditions based on quadratic programming.

That is, using the same method of degree reduction without boundary conditions gives less error than with boundary conditions.

Geometric conditions are considered with the method of degree reduction for the first time, which makes the methods novel and new.

In order to make this paper self-contained, Appendix A summarizes the general concept of the Gordon Coons method of degree n in detail and present explicit formulas for n = 0 and n = 1.

A general construction scheme of the Gordon Coons method of degree n for generating a C n -function h : T → R is as follows: (i) Let h i, j (u, v ) = ∂ i + j ∂ r i ∂ s j h (r, s ) | (r, s ) = (u, v ) for i, j ∈ { 0, …, n }.

Given results can be helpful in a computer aided geometric design, e.g., in the optimization of some methods of the degree reduction of Bézier curves.

Building energy performance evaluation and calculation of energy use for space heating and cooling can be carried out by several methods of various degrees of complexity and accuracy.

We will use several analytical methods of different degrees of sophistication.

In Section 3, by using the method of coincidence degree theory, we obtain the existence of the anti-periodic solutions of system (1.1).