This paper presents a new highly accurate method of Gaussian integration for oscillating functions of cosine type,the method can get quadrature accuracy of 4n+1 only by 2n quadrature nodes.
给出一种新的高精度的求余弦型振荡函数的Gauss积分方法,该方法在仅调用2n个求积节点的情况下,达到4n+1的求积代数精确度。
Aim To study the numerical integration for a class of oscillating functions type as ∫ π -π f(x) sin( ωx )d x ( ω are positive integers).
目的研究型如∫π－πｆ（ｘ）ｓｉｎ（ωｘ）ｄｘ（ω为正整数）的振荡函数的数值积分问题。
The cartoon component is described by piecewise smooth functions(Mumford-Shah model,or M-S model),while the texture is characterized by oscillating functions in G space.
其中结构成分用分段光滑的函数(即Mumford-Shah模型)刻画,纹理部分用振荡函数(G空间)来描述。
The numerical methods to evaluating the Oscillatory function integrals are usually based on no-oscillatory function to establishing interpolatory fuction,such as spline interpolation and Gauss interpolation.
振荡函数积分的数值计算,通常采用对非振荡函数建立插值函数,比如样条插值、Gauss点插值等。
Based on the international research of efficient numerical methods for highly oscillatory functions in the near future,this paper will firstly adopt Gradimir V milovanovic Complex Integration Method to calculate the sine and cosine transform.
正余弦变换是Fourier变换的一种特殊形式,基于近期国际上高振荡函数数值积分高效算法的研究成果,本文首次采用Gradimir V·milovanovic的复积分方法来对正余弦变换进行数值计算,将其转换为求解∫+∞f(x)eiwxdx,通过例子与原有算法进行比较,证明能提高计算效率,而且精度很高。
This paper presents a new highly accurate method of Gaussian integration for oscillating functions of cosine type,the method can get quadrature accuracy of 4n+1 only by 2n quadrature nodes.
给出一种新的高精度的求余弦型振荡函数的Gauss积分方法,该方法在仅调用2n个求积节点的情况下,达到4n+1的求积代数精确度。
Study on Efficient Numerical Methods and Implementation for Highly Oscillatory Integrals
高振荡函数积分的高效数值算法及实现研究
The Complex Oscillation Theory of Solutions of Some Differential Equations with Entire Coefficients;
某些整函数系数微分方程解的复振荡理论
The Complex Oscillation Properties of the Solutions of Some Types of Differential Equations with Entire Coefficients;
一些整函数系数线性微分方程解的复振荡性质
On the Complex Oscillation of a Linear Differential Equation with Meromorphic Function Coefficients;
一类亚纯函数系数线性微分方程的复振荡
On Oscillation Theorems of Differential Equation with Coefficients of Entire Functions
两类高阶整函数系数微分方程解的复振荡
Complex Oscillation Theory of Differential Euqations and Uniqueness Theory of Functions;
微分方程的复振荡理论与函数的唯一性理论
The eigcnfrequency of oscillation cavity is the function of cavity's geometric structural parameters.
振荡腔室的固有频率是腔室几何结构参数的函数。
The Borel Direction of Meromorphic Function with Iterated Order and the Complex Oscillation Theorey of Solutions of Differential Equations;
迭代级亚纯函数的Borel方向及其线性微分方程解的复振荡理论
Research of semantic paradox through cyclical vibration function;
解决语义悖论的振荡周期函数模型——一种对语义悖论的可能解释
The Value Distribution of Meromorphic Function in Angular Domain and the Oscillation Properties of Differential Equations in the Unit Disk
角域内亚纯函数的值分布与单位圆内微分方程的振荡性质
Numerical Simulations of the Tropical Intraseasonal Oscillation;
热带大气季节内振荡的数值模拟研究
Design of VCO in Digital TV Tuner;
数字电视调谐器中压控振荡器的设计
Numerical Simulation of Beam-Wave Interaction in the Gyrotron Oscillators;
回旋管振荡器注波互作用的数值模拟
Research and Design of Fully Digitally Controlled CMOS LC Oscillator;
全数控CMOS LC振荡器的研究与设计
Mechanism Analysis of Low-frequency Oscillation Based on WAMS Measured Data
基于WAMS量测数据的低频振荡机理分析
Analysis on Low Frequency Oscillation and PSS Parameters in China Southern Power Grid
南方电网低频振荡问题及PSS参数分析
Design of a Numerically Controlled Oscillator Based on CORDIC Algorithm
采用CORDIC算法的数控振荡器设计
High Accuracy Digital Trimmable On-chip Oscillator
一种高精度数字可调片上振荡器设计
