Reconstruction of a discontinuous function from a few fourier coefficients using bayesian estimation

The goal of this paper is the application of spectral methods to the numerical solution of conservation law equations. Spectral methods furnish estimates of the firstn Fourier coefficients of the solution. But since the solutions of conservation law equations can have discontinuities, the estimate of the solution by summing the firstn terms of the Fourier series will haveO(1/n) error, even if the Fourier coefficients are known to high accuracy. But if the solution could be accurately reconstructed from its Fourier coefficients, spectral methods could be used effectively in these problems. A method for doing this is to assume a probability distribution for functions. Functions which are smooth away from the discontinuity are assumed to be likely, and those which are not smooth away from the discontinuity are assumed to be unlikely. Then a reconstruction algorithm is chosen by minimizing the expected error over all algorithms. It is possible to put the smoothness assumptions mentioned earlier into an infinite-dimensional Gaussian probability distribution, and then the minimum-error algorithm is well-known and fairly simple to construct and apply. If the Fourier coefficients of the reconstructed function are known exactly, then this approach gives very good results. But when used with Fourier coefficients obtained from a spectral approximation to Burgers' equation, the results were much less impressive, probably because the coefficients were not known very accurately. It is possible to construct filters that reconstruct a function using Legendre or Chebyshev coefficients for information instead Fourier coefficients. It is found that the performance of these filters is similar to the Fourier case.     

鄱阳湖流域水土保持与防洪治涝

鄱阳湖流域水土流失加剧了洪涝灾害。治理水土流失能增强山丘地涵养水源的能力,削洪减沙,减少库容损失,降低河床,具有明显的防洪效益。进行流域防洪规划时,应将防治水土流失与防洪治涝结合起来,因地制宣,综合治理。     

高速公路建设水土流失防治研究

本文以西南地区的几条高速公路为例,阐述了高速公路建设项目水土流失的特点及防治对策,将工程措施与植物措施相结合并积极地采用新方法、新技术,从而有效地改善公路沿线的生态环境.     

基于WebGIS的粗泥沙集中来源区电子地图系统研究

基于WebGIS的粗泥沙集中来源区电子地图系统建设，以粗泥沙集中来源区作为研究区域，以黄河中游粗泥沙集中来源区水土保持工作流程（包括规划设计、计划管理、综合治理、预防监督和淤地坝管理等）为主线，依托黄河流域水土保持生态与环境监测系统网络、黄河流域水土保持监测系统数据库，建立覆盖黄河流域、黄土高原区、多沙粗沙区、粗泥沙集中来源区，面向不同水土保持管理层的水土保持监测与管理信息系统。     

码头建筑物对水位影响的模型试验及计算方法

河岸码头建筑物势必导致其上游水位壅高及对码头附近水流流态产生影响。以汉江沙洋河段为对象 ,通过定床概化物理模型试验研究了码头建筑物对河道水位与流速场的影响。并基于能量平衡原理 ,采用河道恒定非均匀流水面曲线基本方程 ,结合物理模型试验资料 ,计算了码头建筑物附近的水位变化值 ,并提出了码头建筑物产生的水位壅高值的计算方法。     

日本水土保持见闻

通过考察日本的水土保持工作,文中在简明介绍日本水土保持工作的基础上,尤其着重介绍了日本的庭园水土保持,小流域的综合治理,治山绿化工程,水土保持科学研究和滑坡、泥石流防治工程等技术措施和方法。并提出了一些有益的建议;他们的经验有许多值得我们借鉴。     

辽宁省节水工作存在问题及对策

辽宁省是水资源严重短缺的省份之一，水资源不足已成为制约全省经济社会可持续发展的瓶颈。通过对全省大型取用水户的调查分析，找出了辽宁省节水工作中存在的问题，提出了节约用水工作的对策和建议。     

Energy conservation in the industrial sector of developing countries

This paper begins by examining the most energy-intensive industries and methods by which fuel efficiency can be improved. Next the author analyses the economics of energy conservation using specific case studies drawn from India. It is shown that investing in energy efficiency is more economical Btu per Btu than investing in the enhancement of domestic energy resources. The author also assesses changes in the economics of conservation for private firms when there are government incentives. Finally government policies that can overcome economic and non-economic disincentives for investing in energy conservation are examined.     

Power Management Based Grid Routing Protocol for IEEE 802.11 Based MANET

MANET(Mobile Ad Hoc Network)is a collection of wireless mobile nodes forming a temporary communica-tion network without the aid of any established infrastructure or centralized administration.The lifetime of a MANETdepends on the battery resources of the mobile nodes.So energy consumption may one of important design criterions forMANET.With changing the idle model to sleep model in the grid environment,this paper proposes a new energy-awarerouting protocol.Performance simulation results show that the proposed strategy can dynamic balance the traffic load in-side the whole network,extend the lifetime of a MANET,and without decreasing the throughput ratio.