考虑排污权交易的有限理性企业博弈模型研究

在有限理性基础上建立寡头垄断博弈模型,将其引入到排污权市场中,同时考虑了生产成本、污染治理成本、排污权交易价格的影响,使该模型更符合实际。将不同理性层次,不同结构的非线性成本函数,不完全信息等因素引入到博弈模型中,对改进后的模型的演化过程进行分析,找出博弈均衡点,并分析其稳定性。由于具有有限理性的双寡头Cournot博弈模型会产生丰富的动力学行为,因此对其进行数据模拟后并对混沌现象进行分析。在此基础上,运用延迟反馈控制法对寡头垄断博弈模型的混沌控制进行了解析分析,结果表明选择合适的控制因子可使模型稳定在Nash均衡。     

Universality in short-time critical gluodynamics with heat-bath-inspired algorithms

Short-time dynamics technique is used to study the relaxation process for the (2+1)-dimensional critical gluodynamics of the SU(2) lattice-gauge theory. A generalized class of heat-bath-inspired updating algorithms was employed during the short-time regime of the dynamic evolution for performance comparison. The static and dynamic critical exponents of the theory were measured, serving as a dynamic benchmark for algorithmic efficiency. Our results are in agreement with predictions from universality hypothesis and suggest that there is an underlying universal dynamics shared by the analyzed algorithms.     

Terrain Modelling from Feature Primitives

We introduce a compact hierarchical procedural model that combines feature‐based primitives to describe complex terrains with varying level of detail. Our model is inspired by skeletal implicit surfaces and defines the terrain elevation function by using a construction tree. Leaves represent terrain features and they are generic parametrized skeletal primitives, such as mountains, ridges, valleys, rivers, lakes or roads. Inner nodes combine the leaves and subtrees by carving, blending or warping operators. The elevation of the terrain at a given point is evaluated by traversing the tree and by combining the contributions of the primitives. The definition of the tree leaves and operators guarantees that the resulting elevation function is Lipschitz, which speeds up the sphere tracing used to render the terrain. Our model is compact and allows for the creation of large terrains with a high level o detail using a reduced set of primitives. We show the creation of different kinds of landscapes and demonstrate that our model allows to efficiently control the shape and distribution of landform features.     

结合波原子和全变差方法的图像去噪*

传统的硬阈值去噪会产生伪吉普斯现象,而波原子本身的周期化过程也会出现新的方向性纹理失真。采用全变差最小化方法来抑制这些失真,提出一种改进的波原子去噪算法。该算法不是直接将低于阈值的小系数置为零,而是对这些系数在全变差最小的意义上作修正迭代,得到最终的去噪图像。数值实验结果表明,波原子去噪保留边缘和纹理的效果优于小波和曲线波,改进算法去噪的视觉质量明显好于传统波原子去噪。最后还指出了进一步的研究方向。     

经验模态分解方法的小波消失现象

在分析经验模态分解（EMD）算法的基础上,通过提取叠加在正弦信号中的瞬态微小波形成分发现EMD分析方法的小波消失现象。以正弦信号中的微小信号的提取为分析对象,根据EMD算法的特点,推出正弦信号中的微小波形提取时的小波消失条件。通过改变微小波形的时间中心相对于正弦信号的位置提取正弦信号中叠加的微小波形,验证了小波消失条件的正确性。EMD分解方法的小波消失现象的分析丰富了EMD分解方法的适用性研究。     

MEMS薄膜弹性模量及残余应力提取的数值算法

材料弹性模量、残余应力的在线提取,已成为MEMS领域中日益迫切的需要。文中首先简要介绍现有的一些主要的材料参数提取方法,然后提出了一种无需静电作用下两端固支梁吸合电压的显式解析表达式,而是利用决定静电作用固支梁弯曲挠度的微分方程直接计算吸合电压,再提取材料参数的算法。避免了在推导吸合电压的显式表达式过程中可能引入的误差,有利于保证材料参数测量的精度。模拟结果表明这种算法速度快、精度高,对实际应用有较好的参考价值。     

静电吸合对力平衡式隧道加速度传感器的影响

隧尖与阳极之间的可控间距是关系到隧道加速度传感器能否正常工作的一个重要参数,静电吸合限制了该可控间距的范围,本文从理论上分析了静电吸合对隧道加速度传感器设计的影响。对于质量块作活塞式运动的平动型隧道加速度传感器,只有当隧尖与阳极之间的初始间距小于两个反馈电极之间的初始间距的三分之一加上发射间距的和时,力平衡才能实现。对于质量块由多根平行悬臂梁支承的隧道加速度传感器,首次提出并证明,增大隧尖与悬臂梁末端的水平距离可以扩大锥尖高度和锥尖与阳极之间的初始间距的取值范围,从而降低对传感器加工工艺的要求。     

Reducing numerical dissipation in smoke simulation

Numerical dissipation acts as artificial viscosity to make smoke viscous. Reducing numerical dissipation is able to recover visual details smeared out by the numerical dissipation. Great efforts have been devoted to suppress the numerical dissipation in smoke simulation in the past few years. In this paper we investigate methods of combating the numerical dissipation. We describe visual consequences of the numerical dissipation and explore sources that introduce the numerical dissipation into course of smoke simulation. Methods are investigated from various aspects including grid variation, high-order advection, sub-grid compensation, invariant conservation, and particle-based improvement, followed by discussion and comparison in terms of visual quality, computational overhead, ease of implementation, adaptivity, and scalability, which leads to their different applicability to various application scenarios.     

Vapor-liquid equilibrium and volumetric properties calculations for solutions in the supercritical carbon dioxide

The calculations of gas solubilities in supercritical solvents require equations of state remaining accurate in the critical range, which are difficult to obtain with classical models. In this work, the Helmholtz energy of a mixture is considered as the sum of the Helmholtz energies of pure components taken at a constant packing fraction and of a residual term which may have the form of a RedlichKister, Van Laar, NRTL, UNIQUAC, or UNIFAC function. Thus it is possible to assign to a given component an equation of state whose form is different from that of the others. This model has been applied to binary systems containing supercritical carbon dioxide. The results are improved with respect to those obtained with the classical model for vapor-liquid equilibria and for volumetric properties.