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姓     名

杨小远

职     称

教授

所属系别

信息与计算科学系

学科专业

应用数学

办公地点

旧主410

办公电话

010-82317932

电子邮件

xiaoyuanyang@vip.163.com; xiaoyuanyang@buaa.edu.cn

教育背景

杨小远,女,1964年出生,教授,博导
1981.9-1985.9   辽宁大学数学系计算数学专业获理学学士学位
1985.9-1988.3   中科院沈阳计算所计算数学专业获理学硕士学位
2002.9-2007.12  北京航空航天大学计算机应用专业获工学博士学位
工作简历

1988.5-1991.9   辽宁大学数学系
1991.9-2000.9   中国石油大学基础部,副教授
2000.9-现在      北京航空航天大学数学与系统科学学院,教授,博导
科研项目
1.主要研究领域

1) 计算数学:随机微分方程理论与数值逼近方法研究
2) 应用调和分析:框架小波变换、各向异性多尺度变换
3) 图像处理:图像压缩、融合、图像分析与理解

2.近几年主持科研项目

1) 主持国家自然基金项目《对偶框架各向异性提升变换理论与应用研究》,61271010,2013.1-2016.12
2) 主持北京市自然基金项目《基于各向异性紧框架变换的多源遥感图像融合理论与应用研究》,4152029,2014.1-2017.12
3) 主持国家自然基金项目《基于框架理论的遥感图像压缩算法研究》,60775018,2008.1-2010.12
4) 主持国家973项目《高分辨率对地观测系统中的高精度实时运动成像基础研究》中的子课题《平台运动误差高精度实时评估理论与方法》,2009CB724001,2009.9-2014.12
发表论文
先后在国际权威期刊《IEEE Transactions on Image Processing》、《SIAM Journal on Numerical Analysis》等和国内核心期刊发表(含录用)60余篇论文.
主要论文如下:
1. Xiaoyuan Yang, Xiaocui Li, Discrete Finite Element Method for Stochastic Hyperbolic Equation, Journal of Computational Mathematics. (SCI录用)
2. Y. Zhang, X. Yang(杨小远), Difference Approximation of Stochastic Elastic Equation Driven by Infinite Dimensional Noise, Numerical Mathematics: Theory, Methods and Applications. (SCI录用)
3. Y. Zhang, X. Yang(杨小远), Stochastic Elastic Equation Driven by Fractional Brownian Motion, Stochastics-An International Journal Of Probability and Stochastic Processes. (SCI录用)
4. Y. Zhang, X. Yang(杨小远), Stochastic Elastic Equation Driven by Multiplicative Multi-parameter Fractional White Noise, Stochastics and Dynamics. (SCI录用)
5. Y. Zhang, X. Yang(杨小远), Fractional Stochastic Volterra Equation Perturbed by Fractional Brownian Motion, Appl. Math. Comput., Vol. 256, No. 1, pp.20-36, 2015.(SCI源刊)
6. Yan Shi, Xiaoyuan Yang(杨小远), Pansharpening of Multispectral Images Using the Nonseparable Framelet Lifting Transform with High Vanishing Moments, Information Fusion, Vol. 20, pp.213-224, 2014.(SCI源刊)
7. Yan Shi, Xiaoyuan Yang(杨小远), Translation Invariant Directional Framelet Transform Combined with Gabor Filters for Image Denoising, IEEE Transactions on image processing, Vol. 23, No. 1, pp.44-55, 2014.(SCI源刊)
8. Juncheng Dan, Xiaoyuan Yang(杨小远), Random Error Modeling and Analysis of Airborne LIDAR Systems, IEEE Transactions on Geoscience and Remote Sensing, Vol. 52, No. 7, pp.3885-3894, 2014.(SCI源刊)
9. Reisheng Qi, Xiaoyuan Yang(杨小远), Full-discrete Finite Element Method for Stochastic Elastic Equation Driven by an Additive Noise, Numerical Methods for Partial Differential Equations, Vol. 29, No. 6, pp.1946-1962, 2013.(SCI源刊)
10. Reisheng Qi, Xiaoyuan Yang(杨小远), Weak Convergence of Finite Element Method for Stochastic Elastic Equation Driven by Additive Noise, Journal of Scientific Computing,Vol. 56, No. 3, pp.450-470, 2013.(SCI源刊)
11. Xiaoyuan Yang(杨小远),Reisheng Qi, Nonconforming Finite Element Method for Stochastic Stokes Equations, Applied Mathematical Modelling,Vol. 37, No. 8, pp.6110-6118, 2013.(SCI源刊)
12. Reisheng Qi, Xiaoyuan Yang(杨小远), A Nonconforming Rectangular Finite Element Pair for the Darcy-Stokes-Brinkman Model, Numerical Methods for Partial Differential Equations, Vol. 29, No. 2, pp.510-530, 2013. (SCI)
13. Yuanyuan Duan, Xiaoyuan Yang(杨小远), The Finite Element Method of a Euler Scheme for Stochastic Navier-Stokes Equations Involving the Turbulent Component, International Journal of Numerical Analysis & Modeling, Vol. 10, No. 3, pp.727-744, 2013.(SCI源刊)
14. Xiaoyuan Yang(杨小远), Reisheng Qi, A Posteriori Analysis of Finite Element Discretizations of Stochastic Partial Differential Delay Equations, Journal of Difference Equations and Applications, Vol. 18, No. 10, pp.1649-1663, 2012.(SCI源刊)
15. Xiaoyuan Yang(杨小远), Shi Yan, The Lifting Factorization of Wavelet Bi-frames with Arbitrary Generators, Mathematics and Computers in Simulation, Vol. 82, No. 4, pp.570- 589, 2011.(SCI源刊)
16. Yan Shi, Xiaoyuan Yang(杨小远), The Lifting Factorization and Construction of Wavelet Bi-frames with Arbitrary Generators and Scaling, IEEE Transactions on Image Processing, Vol. 20, No. 9, pp.2439-2449, 2011.(SCI源刊)
17. Xiaoyuan Yang(杨小远), Yan Shi, Construction of Parameterizations of Masks for Tight Wavelet Frames with Two Symmetric/Antisymmetric Generators and Application in Image Compression and Denosing, Journal of Computational and Applied Mathematics, Vol. 235, No. 8, pp.2112-2136, 2011.(SCI源刊)
18. Xiaoyuan Yang(杨小远), Jie Min, Yan Shi, Parametrization Construction Frame of Lifting Scheme, IET Singal Processing, Vol. 5, No. 1, pp.1-15, 2011.(SCI源刊)
19. Xiaoyuan Yang(杨小远), Yan Shi, A General Framework of the Construction of Biorthogonal Wavelets Based on Bernstein Bases: Theory Analysis and Application in Image Compression. IET Computer Vision, Vol. 5, No. 1, pp.50-67, 2011.(SCI源刊)
20. Yuahua Guo, Xiaoyuan Yang(杨小远), Lp(p > 1) Convergence Results for Particle Filtering, Journal of Computational Analysis and Applications, Vol. 13, No. 7, pp.1309-1318, 2011.(SCI源刊)
21. Yuanyuan Duan, Xiaoyuan Yang(杨小远), Wei Wang, On the Convergence of a Full Discretization Scheme for the Stochastic Navier-Stokes Equations, Journal of Computational Analysis and Applications, Vol. 13, No. 3, pp.485-498, 2011.(SCI源刊)
22. Xiaoyuan Yang(杨小远), Yan Shi, The Lifting Scheme for Wavelet Bi-frames: Theory , Structure, and Algorithm,  IEEE Transactions on Image Processing,Vol. 19, No. 3, pp.612-624, 2010.(SCI源刊)
23. Xiaoyuan Yang(杨小远), Yuanyuan Duan, A Posteriori Error Estimates for Finite Element Approximation of Unsteady Incompressible Stochastic Navier-Stokes Equations, SIAM Journal on Numerical Analysis, Vol. 48, No. 4, pp.1579-1600, 2010.(SCI源刊)
24. Xiaoyuan Yang(杨小远), Xvdong Zhang, The Regularity Analysis of Multivariate Refinable Functions from Generalized Bernstein Bases and Application in Remote Sensing Image Compression, International Journal of Computer Mathematics, Vol. 87, No. 1, pp.12-37, 2010.(SCI源刊)
25. Xiaoyuan Yang(杨小远), etc, Lifting Construction Based on Bernstein Bases and Application in Image Compression, IET Image Processing, Vol. 4, No. 5, pp.385-402, 2010.(SCI源刊)
26. Xiaoyuan Yang(杨小远), Wei Wang, Yuanyuan Duan, The Approximation of a Crank-Nicolson Scheme for the Stochastic Navier-Stokes Equations, Journal of Computational and Applied Mathematics, Vol. 225, No. 1, pp.31-43, 2009. ( SCI源刊)
27. Xiaoyuan Yang(杨小远), Wei Wang, Yuanyuan Duan, Error Analysis of the Semi-Implicit Four-Step Fractional Scheme and Adaptive Finite Element Method for the Unsteady Incompressible Navier-Stokes Equation, Journal of Computational Analysis and Applications, Vol. 11, No. 3, pp.461-480, 2009. ( SCI源刊)
28. Xiaoyuan Yang(杨小远), Yuanyuan Duan, Wei Wang, Error Estimate On Crank-Nicolson Scheme For Stochastic Parabolic Partial Differential Equations, Journal of Computational Analysis and Applications, Vol. 11, No. 3, pp.395-405, 2008. ( SCI源刊)
29. Xiaoyuan Yang(杨小远), Hui Ren, Embedded Zerotree Wavelets Coding Based on Adaptive Fuzzy Clustering for Image Compression, Image and Vision Computing, Vol. 26, No. 6, pp.812-819, 2008. ( SCI源刊)
30. Xiaoyuan Yang(杨小远), Xvdong Zhang, Frame-based Image Denoising Using Hidden Markov Model, International Journal of Wavelets Multiresolution and Information Processing, Vol. 6, No. 3, pp.419-432, 2008. ( SCI源刊)
31. Rui Yang, Xiaoyaun Yang(杨小远), Fractal Image Compression Algorithms Based on Possibility theory, Fractals-Complex Geometry Patterns and Scaling in Nature and Society, Vol. 15, No. 2, pp.183-195, 2007. ( SCI源刊)
32. 张英晗, 杨小远. 二维空间时间分数阶色散方程的差分方法. 北京航空航天大学学报, (网络在线 DOI: 10.13700/j.bh.1001-5965.2014.0813) [EI]
33. 张英晗, 杨小远. 一类带有空间时间白噪音随机弹性方程的全离散差分格式. 计算数学. (已录用)
34. Junchen Dan, Xiaoyuan Yang(杨小远), Modeling of Range and Scan Angle Random Errors From Airborne LIDAR, Journal of Computational Information Systems, Vol. 9, No. 7, pp.2747-2753, 2013.
35. Yuhua Guo, Xiaoyuan Yang(杨小远), A New Motion Compensation Method for Squinted Stripmap Synthetic Aperture Radar, Journal of Computational Information Systems, Vol. 9, No. 9, pp.3453-3460, 2013.
36. Junchen Dan, Xiaoyuan Yang(杨小远), Impacts of GPS and Range Random Errors on Airborne LIDAR Accuracy, Journal of Computational Information Systems, Vol. 9, No. 8, pp.3253-3260, 2013.
37. Xiaoyuan Yang(杨小远), Quanzong Feng, The Effect of INS and GPS Random Error on Positioning Accuracy of Airborne LIDAR System, Journal of Computational Information Systems, Vol. 7, No. 11, pp.3795-3802, 2011.( EI)
38. Zhangming, Xiaoyuan Yang(杨小远), A Fast Fractal Image Coding Algorithm Based on Optimum Matching, Journal on Numerical Methods and Computer Applications, Vol. 27, No. 1, pp.24-30, 2006.
39. Xiaoyuan Yang(杨小远), Ming Zhao, Research On IFS-Based Fast Fractal Coding Algorithm, Journal on Numerical Methods and Computer Applications, Vol. 27, No. 2, pp.114-122, 2006.
40. Xiaoyaun Yang(杨小远), Rui Yang, Tight Wavelet Frames Theory Based Decomposition and Reconstruction Algorithms and Perfect Reconstructed Symmetric Extension Transforms Technology, J. Current Development in Theory and Applications of Wavelets, Vol. 1, No. 1, pp.65-79, 2007.
教学活动
1.主讲课程

主讲课程:《高等代数》、《小波分析》等
目前主讲北京市精品课程《工科数学分析》、《博士生系列专题讲座》(主讲其中一讲).

2.主讲视频课程

视频公开课:《高等数学》(主讲之一)
视频公开课:《工科数学分析》上下册300集左右

3.教学论文

1)杨小远等,北京市精品课程《工科数学分析》建设回顾,《高等数学研究》录用.
2)杨小远等,2013年北航试题分析,《高等数学研究》录用.
3)杨小远等,2011年北航试题分析,《高等数学研究》录用.
4)杨小远等,有限覆盖定理的教学研究与实践,《高等数学研究》, Vol. 17, No. 1, pp.116-119, 2014.
5)杨小远等, 闭区间套定理的逐步逼近思想教学研究与实践, 《高等数学研究》, Vol. 16, No. 4, pp.83-86, 2013.
6)杨小远, 李尚志, 大学一年级学生创新能力培养探索与实践,《大学数学》, Vol. 28, No. 4, pp.13-21, 2012.
7)杨小远等, 泰勒公式与插值逼近的教学实践, 《高等数学研究》, Vol. 15, No. 4, pp.82-85, 2012.
8)杨小远等, 工科数学分析中的探索类问题及教学案例, 《高等数学研究》, Vol. 15, No. 1, pp.98-102, 2012.
9)杨小远等, 数学分析中若干具有共性理论的问题, 《高等数学研究》, Vol. 14, No. 4, pp.105-110, 2011.
10)杨小远等, 《工科数学分析》开放式教学探讨, 《大学数学》, Vol. 27, No. 3, pp.1-6, 2011.
11)杨小远等, 关于函数一致连续研究性的教学, 《高等数学研究》, Vol. 14, No. 6, pp.50-53, 2011.
12)李卫国, 杨小远, 《工科数学分析》课程建设思索, 《大学数学》, Vol. 22, No. 4, pp.7-10, 2006.

4.指导主讲班级(大学一年级)学生发表论文

1)王玮彬(39192109), 马建华(39191221), 杨小远, 向量函数一致连续的比较判别方法研究,《理论数学》, Vol. 2, No. 1, pp.45-52, 2012.
2)杨小远, 范子沛(38060505), 孙玉泉, 《工科数学分析》中的探索类问题及教学案例, 《高等数学研究》, Vol. 15, No. 1, pp.98-102, 2012.
3)王建元(39061422), 张博宇(390614080), 杨小远, 二重级数收敛性研究,《河南科学》, Vol. 29, No. 12, pp.1387-1397, 2011.
4)孙玉泉, 张文峰(39027126), 杨小远, 微积分中积分的统一与运算,《河南科学》, Vol. 29, No. 2, pp.391-396, 2011.
5)张凯(39061511), 唐文琦(39061629), 魏华(39061525), 杨若松(39061629), 杨小远, 基于抛物线逼近法方法的常微分方程数值解法研究,《河南科学》, Vol.29, No.2, pp.127-132, 2011.
6)杨小远, 叶子豪(38060228), 杨南君(38060226), 关于正项级数判别法的进一步研究,《河南科学》, Vol. 28, No. 5, pp.510-514, 2010.
7)杨小远, 马建华(39191221), 张立文(39191224), 王玮彬(39192109), 关于函数一致连续性的判别方法研究,《河南科学》, Vol. 28, No. 6, pp.635-637, 2010.
8)杨小远, 周渝智(39192119), 林柏洪(39191121), N阶导数值计算的外推算法研究,《河南科学》, Vol. 28, No. 7, pp.762-766, 2010.
9)杨小远, 王玮彬(39192109), 张立文(39191224), 振荡函数一致连续性研究,《河南科学》, Vol. 28, No. 8, pp.899-900, 2010.
10)杨小远, 王玮彬(39192109), 马建华(39191221), 多元振荡函数一致连续性研究,《河南科学》, Vol. 28, No. 9, pp.1061-1064, 2010.
11)杨小远, 林柏洪(39191121), 张权(39191205), 高维理查森外推算法的研究和应用,《河南科学》, Vol. 28, No. 10, pp.1213-1220, 2010.
12)杨小远, 王玮彬(39192109), 马建华(39191221), 多元函数一致连续的比较判别方法研究,《河南科学》, Vol. 28, No. 12, pp.1501-1503, 2010.
13)张凯(39061511), 唐文琦(39061629), 魏华(39061525), 杨若松(39061629), 魏成(39061523), 杨小远, 关于罗尔定理的进一步讨论,《高等数学研究》, Vol. 13, No. 5, pp.58-60, 2010.
14)高英恺(10061179), 王安然(10061210), 王翔(10061176), 谭传奇(10061189), 郭立轩(10061196), 杨小远, Leibniz公式与分部积分公式的推广及应用,《高等数学研究》, Vol. 16, No. 6, pp.56-59, 2013.
15)刘俊龙(10061073), 李宏(10061069), 石岭千(10061059), 杨小远, 关于定积分概念应用问题的几点补充证明,《河南科学》, Vol. 30, No. 6, pp.669-673, 2012.
16)马国庆(10061077), 宋翰(10061074), 杨小远, STOLZ定理的逆定理及推广,《高等数学研究》, Vol. 15, No. 5, pp.19-21, 2012.
17)计算机学院的叶海,郝元桢,完成的论文“多重复合函数高阶导数的一般公式研究”高等数学研究录用。

5.教学论文获奖

1)杨小远,《北航工科数学分析课程建设》获中国高等教育学会教育数学专业委员会年会论文一等奖,2010.
2)杨小远,《工科数学分析开放式作业探讨》获中国高等教育学会教育数学专业委员会年会论文一等奖,2011.

6.出版教材专著

1)杨小远主编《工科数学分析教程上/下册》(科学出版社),2013年入选北京市精品教材,2014年被评为国家“十二五”规划教材.
2)杨小远,文晓主编《工科数学分析系列开放讲座》(科学出版社出版),2014年.
3)杨小远,学术专著《随机偏微分方程有限元方法》(电子工业出版社),2015年.
所获奖励
1)第八届北京市教学名师奖,2012
2)宝钢优秀教师奖,2010
3)2012年“北航数学公共课本研一体化课程体系的构建”北京市教学成果一等奖(排名第二)
4)第三届北航教学名师奖,2012
5)《基于工科数学分析的大学一年级创新能力培养与实践》获校教学成果一等奖(排名第一),2012
6)《工科数学分析教学研究与实践》,获校教学成果一等奖(排名第一),2010
7)北航优秀主讲教师,2009
8)《工科数学分析核心课程建设》获校教学成果一等奖(排名第四),2007
9)成飞奖教金,二等奖(排名第三),2007
10)北航第五届“我爱我师”十佳教师,2006
11)北京市高等学校优秀青年骨干教师,1994
12)IET教育基金青年教师奖,1994
社会工作
国际权威期刊《IEEE Transactions on Signal Processing》、《Information Sciences》、《IEEE Transactions on Image Processing》、《International Journal of Computer Mathematics》、《IET signal Processing》、《IET Control Theory & Applications》等审稿人.
推荐链接
北京航空航天大学