Several enconomical methods in difference computation,which include the method of Taylor expansion, the splitting method, the method of compensated computation in deducted region, the method of self-controled time step, are discussed on the basis of difference scheme of explicit and complete square conservation.

Based on traditional three-order recursive Taylor expansion and four-order Range-Kuttle method,another effective method four-order Taylor expansion was proposed.

Taylor series expansion method for TM mode of polymer waveguide M-Z modulator;

A further study was made on the deficiency of Taylor series expansion method taking Probability Integral Method as an example.

After using of some important limits in Advanced Mathematics,we may choose one of the methods in computation,such as method of improvisation and method of replacement with equivalent infinitesimal and method of Taylor expansion,to g.

The calculation of attitude matrix\'s quaternion differential eguations adopt four-order Range-Kuttle method commonly in strapdown inertial navigation system(SINS),Considered precision and speed,another effective method-four-order Taylor expansion is presented.

In order to determine the initial stress of pneumatic membrane structures in form-finding analysis in the condition that the internal pressure is given,the Taylor Expansion of a multivariable function is used to establish the volume differential equation.

Using the rational Supposition for Taylor expansion of locating equation,the authors build up the error analysis model of cross locating algorithm for radar direction finding on the basis of analysis for factors influencing locating accuracy,and prove that the minimum mean square deviation estimation of space position of locating algorithm is unbiased.

In this paper the Taylor expansion is taken as a theoretical basis,high-order continuity of moving least-square method is further inherited,and Shepard interpolation is adopted to obtain the mobility from local r.