A hybrid method integrating Green's function Monte Carlo and projected entangled pair states

This paper introduces a hybrid approach combining Green’s function Monte Carlo(GFMC)method with projected entangled pair state(PEPS)ansatz.This hybrid method regards PEPS as a trial state and a guiding wave function in GFMC.By leveraging PEPS’s proficiency in capturing quantum state entanglement and GFMC’s efficient parallel architecture,the hybrid method is well-suited for the accurate and efficient treatment of frustrated quantum spin systems.As a benchmark,we applied this approach to study the frustrated J_(1)–J_(2) Heisenberg model on a square lattice with periodic boundary conditions(PBCs).Compared with other numerical methods,our approach integrating PEPS and GFMC shows competitive accuracy in the performance of ground-state energy.This paper provides systematic and comprehensive discussion of the approach of our previous work[Phys.Rev.B 109235133(2024)].

Implementation of the Integrated Green’s Function Method for 3D Poisson’s Equation in a Large Aspect Ratio Computational Domain

The solution of Poisson’s Equation plays an important role in many areas, including modeling high-intensity and high-brightness beams in particle accelerators. For the computational domain with a large aspect ratio, the integrated Green’s function method has been adopted to solve the 3D Poisson equation subject to open boundary conditions. In this paper, we report on the efficient implementation of this method, which can save more than a factor of 50 computing time compared with the direct brute force implementation and its improvement under certain extreme conditions.

Existence of Monotone Positive Solution for a Fourth-Order Three-Point BVP with Sign-Changing Green’s Function

This paper is concerned with the following fourth-order three-point boundary value problem , where , we discuss the existence of positive solutions to the above problem by applying to the fixed point theory in cones and iterative technique.

A Set of Almost Automorphic Functions and Applications

For a set S of real numbers, we introduce the concept of S-almost automorphic functions valued in a Banach space. It generalizes in particular the space of Z-almost automorphic functions. Considering the space of S-almost automorphic functions, we give sufficient conditions of the existence and uniqueness of almost automorphic solutions of a differential equation with a piecewise constant argument of generalized type. This is done using the Banach fixed point theorem.

Singularity-free Green's function for EM sources embedded in a stratified medium

We present a method to unify the calculation of Green＇s functions for an electromagnetic（EM） transmitting source embedded in a homogeneous stratified medium.A virtual interface parallel to layer interfaces is introduced through the source location.The potentials for Green＇s function are derived by decomposing the partial wave solutions to Helmholtz＇s equations into upward and downward within boundaries.The amplitudes of the potentials in each stratum are obtained recursively from the initial amplitudes at the source level.The initial amplitudes are derived by coupling with the transmitting sources and following the discontinuity of the tangential electric and magnetic fields at the source interface.Only the initial terms are related to the transmitting sources and thus need to be modified for different transmitters,whereas the kernel connected with the stratified media stays unchanged.Hence,the present method can be easily applied to EM transmitting sources with little modification.The application of the proposed method to the marine controlled-source electromagnetic method（MCSEM） demonstrates its simplicity and flexibility.

MATLAB/Simulink S-function在三相异步电机教学中的应用研究

针对三相异步电动机教学过程中较深的理论知识不利于学生理解与掌握的问题,对MATLAB/Simulink S-function在三相异步电机教学进行了应用研究,MATLAB环境下Simulink与S-function有机结合搭建了三相异步电动机的仿真平台,仿真结果验证了该方法的有效性。

The Green's function of the harmonic horizontal force applied at the interior of the saturated half-space soil

By using integral transform methods, the Green(s functions of horizontal harmonic force applied at the interior of the saturated half-space soil are obtained in the paper. The general solutions of the Biot dynamic equations in frequency domain are established through the use of Hankel integral transforms technique. Utilizing the above- mentioned general solutions, and the boundary conditions of the surface of the half-space and the continuous conditions at the plane of the horizontal force, the solutions of the boundary value problem can be determined. By the numerical inverse Hankel transforms method, the Green(s functions of the harmonic horizontal force are obtainable. The degenerate case of the results deduced from this paper agrees well with the known results. Two numerical examples are given in the paper.

Simulink(S-function)在复杂控制系统仿真中的应用

S-function是system function的简称,其功能是通过Matlab或c语言程序,设计出可实现所需功能的功能模块,将其与Simulink有机地结合,可充分发挥Simulink的优势,扩充Simulink的仿真功能,不但仿真模型简单,而且大大降底了编程的难度,特别适合于复杂控制系统的仿真。文中通过对二自由度机器人的轨迹跟踪这个控制对象,编写了S-FUNCTION程序,来说明该程序的实际应用并证明此方案的实用性。

基于S-Function的PWM控制系统仿真

脉宽调制(PWM)控制方法用于过程控制领域时,由于通过三角波构造PWM控制器不够准确,且三角波参数设置较为复杂,因此提出了利用S函数描述PWM控制算法,通过M文件编写的S函数完全是算法的再现,且生成的S函数模块如Simulink标准模块。结合Matlab中的Simulink工具箱对PWM控制系统进行建模,并针对一个一阶系统进行仿真。通过比较说明,用S函数实现的PWM控制器有着准确性高、建模简单等优点。

基于S-Function Builder的光伏阵列仿真模型

基于MATLAB/Simulink中的S-Function Builder模块,所建立的光伏组件仿真模型利用C语言将简化的光伏组件数学模型编程,再与其他Simulink模块连接成电路以仿真电路性能。该仿真模型输出结果与户外实测光伏组件电流电压特性曲线比较结果显示出了良好的一致性,最大功率点处误差最大约为1.8%,可满足科研精度的要求。特别是该光伏组件仿真模型还可在Simulink中串联为光伏阵列,并对局部阴影下光伏阵列输出特性进行较好的仿真。

基于DSP和S-function的数字图象处理方法与实现

文章以高性能数字信号处理器DM642为核心搭建了数字图象处理系统硬件平台,采用Matlab中的M文件S-function开发了用户自定义算法模块并建立了复杂图象处理算法的Simulink模型,实现了数字图象的高速处理,并以Canny边缘检测算法为例进行了实验。实验结果表明,在DSP平台中实现数字图象处理大大地提高了处理速度,采用S-function自定义算法模块大大地提高了编程效率。

基于S-Function的PEM燃料电池建模仿真分析

采用MATLAB/Simulink中的S函数模块,基于质子交换膜燃料电池(proton exchange membrane fuel cell,PEMFC)电化学特性进行仿真建模。该方法与传统建模相较,优点在于用代码方式表达,方便工程师根据自己的需要加以剪裁,集成度高,通用性强,仿真程序编写简单。通过S函数建立的电化学模型,可研究环境变量以及参变量对电堆动态输出性能与非线性内阻(极化电压)产生的影响。精准的PEMFC仿真模型在电堆的输入参数出现阶跃变化时,能及时地体现出电堆电压、输出功率、极化曲线等的动态响应,有助于控制系统的研发。仿真分析表明,仿真结果与实验数据完全吻合,验证了S函数模型的有效性和准确性,此建模方式可推广至PEMFC辅助系统与整车控制系统。

基于Simulink/S-Function模块的数据采集板卡硬件驱动开发

在硬件在回路仿真系统中,模型需与数据采集卡之间进行实时数据的采集和交换,Simulink下Real Time Workspace工具箱提供了与硬件之间的实时数据采集和交换,但是工具箱并不支持市面上所有采集板卡的类型,给用户对采集板卡选型带来一定局限性。因此本文使用Simulink中S-Function模块编写不同采集板卡的硬件驱动,证明只要是数据采集工具箱支持的板卡型号,都可以用S-Function进行模块化硬件驱动编写,解决了Simulink中Real Time Workspace工具箱给用户在使用Simulink建模过程中对板卡选型的局限性这一问题。

A study on deep structure using teleseismic receiver function in Western Yunnan

s Western Yunnan is located at the boundary of collision or underthrusting zone of Eurasian plate and is influenced by many times tectonic movements. With very complex geological environment and tectonic background, it is one of the seismically active areas. In the paper, the teleseismic records were selected from 16 national, local and mo-bile stations, including 4 very-wide-band mobile stations of PASSCAL. And nearly 2 000 receiver functions were extracted. Two measuring lines are 650 km and 450 km, respectively and across some major tectonic units in Western Yunnan. It is indicated that Nujiang might be a seam characterized by underthrusting. The western and eastern boundaries of Sichuan-Yunnan rhombus block, i.e., Honghe and Xiaojiang faults, might be an erection seam or collision belt. Panxi tectonic zone still has the characteristics of continental rift valley, that is, the surface is hollow and the upper mantle is upwarping. The tectonic situation in Western Yunnan is of certain regulation with the interlacing distribution of orogenic zone and seam. The crustal thickness decreases gradually from the north to the south and the S wave velocity is globally lower here.

C MEX S-function在导弹/弹丸动态仿真中的应用

介绍了在导弹 /弹丸动态数字仿真中如何运用CMEXS function开发软件 ,更有效地利用C语言和MATLAB语言各自优势进行仿真软件的开发 ,从而大大提高仿真软件的开发效率。

基于MATLAB/S-Function的飞行器运动系统建模与仿真

本文讲述了使用Matlab/S-Function建模与仿真的一种方法。主要介绍如何对飞行器的运动学方程进行S函数建模,并分析了S函数各模块的编写及功能。分析表明对于复杂的运动系统,使用S函数,能有效地减少建模中的失误,同时能使模型界面更加简洁。

基于S-function的模糊逻辑系统控制器Simulink仿真

提出将模糊逻辑系统表达式与模糊控制规则表相结合,并用S-function将其形成模块,再用Simulink对所设计的模糊控制系统仿真,编程快捷、调试方便。

纳米分子器件量子传导中的Green's Function模型

将纳米分子器件的电极和分子本体作为一个系统,考虑到入射电子在原子电极和分子本体中的传导,在电极与分子之间界面上的透射的量子状态,在满足Fisher-Lee关系式的基础上,一个新型的Green’sFunction被设计出来。这一理论模型把三个区域上的不同量子状态完整地表达在一个方程式里,符合物理学基本原理,可以系统地用来研究纳米分子器件的量子传导特性。

高压管汇材料疲劳性能测试及P-S-N模型曲线的拟合

高压管汇作为压裂设备中的主要易损件之一,其失效危害较大。它的失效原因主要是疲劳、冲蚀、腐蚀或者材料缺陷引起的刺漏和爆裂,其中尤以疲劳失效最不可预估。目前,对于高压管汇材料的疲劳性能研究不够深入,为解决高压管汇材料疲劳寿命的准确描述问题,以某国产高压管汇材料为例,进行了一系列疲劳试验,并基于试验数据,采用多种分布模型和不同S-N模型进行拟合分析,得出综合评价拟合能力最强的P-S-N模型。结果表明,该材料在中长疲劳寿命区,Weibull三参数模型在7级应力水平下综合评价能力最好;在存活率分别为50%、90%、99%、99.9%时,指数S-N模型的拟合系数均大于0.98,拟合能力最好。得出的P-S-N模型曲线可以为高压管汇的疲劳寿命以及安全设计提供依据。

用S-function实现T-S模糊模型的控制系统仿真

本文基于T-S模糊模型的参数辨识结果,用S-function实现了T-S模型,并在Simulink环境下对系统仿真,方法简捷并取得了较好的仿真效果。