蔡力

2008.10-2011.04，西北工業大學應用數學系，講師

2011.05-，西北工業大學應用數學系，副教授/碩士生導師

2012.10-2013.10，英國Glasgow大學數學與統計學院，榮譽副研究員

2013.10-，西北工業大學應用數學研究所，副所長

2013.12-，西北工業大學數學實驗室，主任

《多重網格方法》（博士研究生，2014）

《Numerical Analysis》（碩士研究生，國際班，英文授課，2013-）

《計算流體力學新方法》（碩士研究生，2015）

《計算流變學》（碩士研究生，2011）

《偏微分方程數值解》（本科生，2009-2011、2014）

《計算方法》（本科生，2014）

《高等數學》（本科生，2008-2013）

精品課程

“計算方法”省級精品資源共享課程，2015.6，排序第7

主要研究方向與項目

偏微分方程數值解法及其在圖像處理、流固耦合計算中的應用。

科研項目

先後主持國家自然科學基金項目2項、省部級科研項目1項、校級科研項目4項，參與國家自然科學基金項目2項、省部級科研項目1項、省級教改項目1項。

主持項目

1.國家自然科學基金面上項目（11471261），人類左心室3D重構及相關流固耦問題的數值方法研究（2015.01-2018.12），負責人

2. 國家自然科學基金青年項目（11101333），液體晃動相關問題的數值方法研究（2012.01-2014.12），負責人

3. 西北工業大學中央高校基本科研業務費基礎研究基金資助項目（3102014JCQ01075），左心室流固耦合問題數值方法研究（2014.05-2016.05），負責人

4. 陝西省自然科學基金基礎研究計劃項目（2011GQ1018），充液貯箱一體化設計及可靠性評定（2011.06-2013.12），負責人（已結題）

5. 西北工業大學基礎研究基金（JC201263），液體晃動及貯箱結構設計問題的高精度數值模擬方法研究（2012.01-2013.12），負責人（已結題）

6. 西北工業大學基礎研究基金（JC200918），細胞泛型分裂的微分模擬（2010.01-2011.12），負責人（已結題）

7. 西北工業大學引進高層次人才科研啟動費資助項目，充液航天器液體晃動動力學特性研究（2008.9-2009.12），負責人（已結題）

參與項目

1. 國家自然科學基金青年項目（11302172），具有記憶阻尼的隨機系統的振動、擴散及信息熵演化研究（2014.01-2016.12），第1參與人

2. 陝西省自然科學基礎研究計劃項目（2014JQ1026），非高斯雜訊激勵下粘彈系統的隨機動力學（2014.05-2016.04），第1參與人

3. 國家自然科學基金面上項目（11071196），基於節點的有限元并行方法關鍵理論研究（2011.01-2013.12），第2參與人（已結題）

4. 西北工業大學基礎研究基金（JC201152），基於路徑積分的泊松雜訊激勵下齒輪傳動系統的動力學研究（2011.07-2013.06），第1參與人（已結題）

5. 西北工業大學科技創新基金，雙態雜訊驅動的動力系統信息熵研究及應用（2009.01-2010.12），第1參與人（已結題）

教改項目

陝西高等教育教學改革研究項目（13BY12），依託數學公共課教學改革，探索中外大學生混合培養模式（2013.12-2015.12），排序第3

主要學術成果與獲獎

學術論文

2015：

蔡力(Cai Li), Gao Hao(高昊), Luo Xiaoyu(羅小玉),聶玉峰(Nie Yufeng).左心室多尺度模擬[Multi-scale modelling of the human left ventricle].中國科學：物理學力學天文學[Scientia Sinica: Physica, Mechanica & Astronomica], 2015,45: 024702

Gao Hao(高昊), Li Wenguang(李文廣), Cai Li(蔡力),Berry Colin, Luo Xiaoyu(羅小玉). Parameter estimation in a Holzapfel-Ogden law for healthy myocardium. Journal of Engineering Mathematics, 2015, DOI 10.1007/s10665-014-9740-3[SCI]

Cheng Xiaohan(程曉晗), Nie Yufeng(聶玉峰), Feng Jianhu(封建湖), Cai Li(蔡力). A high order central-upwind scheme for hyperbolic conservation laws. Journal of Applied Analysis and Computation, 2015, 5(3): 453-464[SCI]

Cheng Xiaohan(程曉晗), Nie Yufeng(聶玉峰), Feng Jianhu(封建湖), Luo Xiaoyu(羅小玉), Cai Li(蔡力).Self-adjusting entropy stable scheme for compressible Euler equations. Chinese Physics B, 2015, 24(2): 020202[SCI: CD1IX]

程曉晗(Cheng Xiaohan),聶玉峰(Nie Yufeng),蔡力(Cai Li).基於CWENO重構的熵穩定格式求解淺水方程(WENO based entropy stable scheme for shallow water equations),計算物理(Chinese Journal of Computational Physics), 2015,錄用

Cai Li(蔡力), Luo Xiaoyu(羅小玉), Nie Yufeng(聶玉峰), Li Wenguang(李文廣), Xie Wenxian(謝文賢). Simulating 3D propagations of extracorporeal shock waves in kidney stone. Computers and Mathematics with Applications, 2013, revised

Cai Li(蔡力), Xie Wenxian(謝文賢), Nie Yufeng(聶玉峰). A semi-discrete Hermite central-upwind scheme for modeling propagation of elastic waves. Applied Mathematics and Computation, 2013, revised

2014：

Cai Li(蔡力), Xie Wenxian(謝文賢), Nie Yufeng(聶玉峰), Feng Jianhu(封建湖). High-resolution semi-discrete Hermite central-upwind scheme for multidimensional Hamilton-Jacobi equations. Applied Numerical Mathematics, 2014, 80: 22-45[SCI: AH4QL, EI: 20141317510892]

Zhang Weiwei(張偉偉), Nie Yufeng(聶玉峰), Cai Li(蔡力), Qi Nan(齊楠).An adaptive discretization of incompressible flow using node-based local meshes.CMES-Computer Modeling in Engineering & Science, 2014, 102(1): 55-82[SCI: CD4AE]

Xu Pengfei(許鵬飛), Xie Wenxian(謝文賢), Cai Li(蔡力). Diffusion induced by bounded noise in a two-dimensional coupled memory system. Theoretical & Applied Mechanics Letters, 2014, 4(1), 013012

謝文賢(Xie Wenxian),李東平(Li Dongping),許鵬飛(Xu Pengfei),蔡力(Cai Li),靳艷飛(Jin Yanfei).具有固有頻率漲落的記憶阻尼線性系統的隨機共振[Stochastic resonance of a memorial-damped linear system with natural frequency fluctuation],物理學報[Acta Physica Sinica], 2014, 63(10): 100502[SCI: AK9IW,EI:20142217774907]

胡會朋(Hu Huipeng),聶玉峰(Nie Yufeng),張陽(Zhang Yang),蔡力(Cai Li).基於背景網格簇的動網格生成方法[A new dynamic mesh method based on a cluster of background meshes].航空學報[Acta Aeronautica et Astronautica Sinica], 2014, 35: 2921-2931[EI: 20145000326341]

2013：

Cai Li(蔡力), Nie Yufeng(聶玉峰), Xie Wenxian(謝文賢), Zhang Weiwei(張偉偉).Numerical path integration method based on bubble grids for nonlinear dynamical systems. Applied Mathematical Modelling, 2013, 37(3): 1490-1501[SCI:065FR, EI: 20124915751542]

Cai Li(蔡力), Gao Hao, Xie Wenxian(謝文賢). Variational level set method for left ventricle segmentation. IEEE TENCON 2013, Xi’an, Shaanxi, P. R. China, October 22-25, Session III-1: Computer Science I, 2013[ISTP: BA3VD, EI: 20140917393152]

Cai Li(蔡力), Xie Wenxian(謝文賢). Efficient lattice Boltzmann method for specialized Kuramoto-Sivashinsky equation. IEEE TENCON 2013, Xi’an, Shaanxi, P. R. China, October 22-25, Session IV-4: Computational Intelligence I, 2013[ISTP: BA3VD, EI: 20140917392937]

謝文賢(Xie Wenxian),許鵬飛(Xu Pengfei),蔡力(Cai Li),李東平(Li Dongping).隨機雙指數記憶耗散系統的非馬爾可夫擴散[Non-Markovian diffusion of the stochastic system with a biexponentical dissipative memory kernel].物理學報[Acta Physica Sinica], 2013, 62 (8): 080503[SCI: 152CC, EI: 20131916321586]

2012：

Cai Li(蔡力), Zhou Jun(周軍), Zhou Fengqi(周鳳岐), Xie Wenxian(謝文賢), Nie Yufeng(聶玉峰). Numerical simulation of 2D liquid sloshing. International Journal of Applied Mechanics, 2012, 4(2): 1250014(1-17)[SCI: 973OR, EI: 20123015268874]

Cai Li(蔡力), Feng Jianhu(封建湖), Nie Yufeng(聶玉峰), Xie Wenxian(謝文賢). An efficient third-order scheme for three-dimensional hyperbolic conservation laws. International Journal of Modeling, Simulation, and Scientific Computing, 2012, 3(4): 1250015(1-20)[EI: 20124815723508]

謝文賢(Xie Wenxian),蔡力(Cai Li),岳曉樂(Yue Xiaole),雷佑銘(Lei Youming),徐偉(Xu Wei).兩種群隨機動力系統的信息熵和動力學研究[Information entropies and dynamics in the stochastic ecosystem of two competing species.物理學報[Acta Physica Sinica], 2012, 61(17): 170509[SCI: 017CS]

Xie Wenxian(謝文賢), Cai Li(蔡力), Zhao Junfeng(趙俊鋒), Xu Pengfei(許鵬飛). Embedded level set method for nonlinear control. 2nd International Conference on Electronics, Communications and Control, Zhoushan, P. R. China, October 16-18, 2012, pp. 412-415

Zhang Yang(張陽), Cai Li(蔡力), Nie Yufeng(聶玉峰). A mesh generation algorithm based on images. 2nd International Conference on Electronics, Communications and Control, Zhoushan, P. R. China, October 16-18, 2012, pp. 2765-2768

2011：

楊濱(Yang Bin),蔡力(Cai Li),聶玉峰(Nie Yufeng).顆粒分佈對繞流的影響[Influence of particle distribution on flow around it].航空計算技術[Aeronautical Computer Technique],2011, 41(5): 14-18

Wei Jie(魏傑), Nie Yufeng(聶玉峰), Cai Li(蔡力). A method for lamping atoms into particles in particle dynamic method. Advanced Material Research, Manufacturing Science and Technology, 2011, 295-297: 1029-1037[EI: 20113114190628]

Li Duning(李都寧), Nie Yufeng(聶玉峰), Zhou Xuemei(周雪梅), Cai Li(蔡力).Numerical modeling of resin film infusion process with compaction and its application. CMES-Computer Modeling in Engineering & Sciences, 2011, 72(2): 149-166[SCI:775WF, EI: 20112214012832]

李都寧(Li Duning),聶玉峰(Nie Yufeng),劉運芳(Liu Yunfang),梁濱(Liang Bin),蔡力(Cai Li).改性BMI樹脂固化過程的溫度控制優化[Optimal temperature profiles for modified BMI resin matrix in curing process].航空材料學報[Journal of Aeronautical Materials], 2011, 31(1): 67-72[EI: 20111313874947]

2010：

Cai Li(蔡力), Zhou Jun(周軍), Zhou Fengqi(周鳳岐), Xie Wenxian(謝文賢). A hybrid scheme for three-dimensional incompressible two-phase flows. International Journal of Applied Mechanics, 2010, 2(4): 889-905[SCI: 760IV, EI: 20115114610988]

Cai Li(蔡力), Xie Wenxian(謝文賢), Nie Yufeng(聶玉峰). Target detection based on elastic wave propagation equations. The 6th International Conference on Wireless Communications, Networking and Mobile Computing, Chengdu, P. R. China, September 23-25, 2010[SCIE:BAP71, EI: 20104713416570]

Cai Li(蔡力), Nie Yufeng(聶玉峰), Xie Wenxian(謝文賢), Feng Jianhu(封建湖). Metamorphosis and edge detection via modified k-means algorithm. Proceedings of 2010 International Symposium on Image Analysis and Signal Processing,Xiamen, P. R. China, April 11-12, 2010, pp. 190-194[SCIE: BQW26]

Cai Li(蔡力), Xie Wenxian(謝文賢), Nie Yufeng(聶玉峰). New bootstrap method via Voronoi diagram and its applications. The Proceedings of 2010 International Conference on Probability and Statistics of the International Institute for General Systems Studies, Nanjing, P. R. China, July 28-31, 2010, pp. 202-205

Xie Wenxian(謝文賢), Cai Li(蔡力), Xu Wei(徐偉). Image encryption technique based on partial differential equation. Proceedings of 2010 International Symposium on Image Analysis and Signal Processing,Xiamen, P. R. China, April 11-12, 2010, pp. 61-63[SCIE:BQW26]

封建湖(Feng Jianhu),龔建良(Gong Jianliang),蔡力(Cai Li).改進的梯度向量流模型及其應用[Improved gradient vector flow model and its applications].數值計算與計算機應用[Journal of Numerical Methods and Computer Applications], 2010, 31(1): 30-38

2008：

Cai Li(蔡力), Feng Jianhu(封建湖), Xie Wenxian(謝文賢). An efficient ghost fluid method for compressible multifluids in Lagrangian coordinate. Applied Numerical Mathematics, 2008, 58(6): 859-870[SCI: 310JW, EI: 081911246339]

Zhou Jun(周軍), Cai Li(蔡力), Zhou Fengqi(周鳳岐). New high-resolution scheme for three-dimensional nonlinear hyperbolic conservation laws. Applied Mathematics and Computation, 2008, 198(2): 770-786[SCI: 277ZY, EI: 081311168241]

Zhou Jun(周軍), Cai Li(蔡力), Zhou Fengqi(周鳳岐). A hybrid scheme for computing incompressible two phase flows. Chinese Physics B, 2008, 17(5): 1535-1544[SCI: 304ZU, EI: 082911376432]

Xie Wenxian(謝文賢), Xu Wei(徐偉), Cai Li(蔡力).Numericalmeshfree path integration method for non-linear dynamic systems. Applied Mathematics and Computation, 2008, 197(1): 426-434[SCI: 277ZT, EI: 080711096231]

Xie Wenxian(謝文賢), Xu Wei(徐偉), Cai Li(蔡力).Optimizedtransfer trajectories in the Earth-Moon system. Chinese Physics B, 2008, 17(1): 350-355[SCI: 273VQ, EI: 082111270615]

2007：

Cai Li(蔡力), Feng Jianhu(封建湖), Xie Wenxian(謝文賢), Zhou Jun(周軍). Computations of transport of pollutant in shallow water. Applied Mathematical Modelling, 2007, 31(3): 490-498[SCI: 120DR, EI: 064610236580]

Cai Li(蔡力), Zhou Jun(周軍), Feng Jianhu(封建湖), Xie Wenxian(謝文賢). Fluid simulation using an adaptive semi-discrete central-upwind scheme. International Journal of Computational Methods, 2007, 4(2): 283-297[SCI: V11TH, EI: 20073910822783]

Zhou Jun(周軍), Cai Li(蔡力), Feng Jianhu(封建湖), Xie Wenxian(謝文賢). Numerical simulation for two-phase flows using hybrid scheme. Applied Mathematics and Computation, 2007, 186(2): 980-991[SCI: 163MK, EI: 071410523918]

Xie Wenxian(謝文賢), Cai Li(蔡力), Xu Wei(徐偉).Numerical simulation for a Duffing oscillator driven by colored noise using nonstandard difference scheme. Physica A: Statistical Mechanics and its Applications, 2007, 373(1): 183-190[SCI: 109NU, EI: 064410217406]

Xie Wenxian(謝文賢), Cai Li(蔡力), Feng Jianhu(封建湖). Tracking entropy wave in ideal MHD equations by weighted ghost fluid method. Applied Mathematical Modelling, 2007, 31(11): 2503-2514[SCI: 203IK, EI: 072410653363]

Zhou Jun(周軍), Cai Li(蔡力), Zhou Fengqi(周鳳岐). Computations of low energy escaping/capturing trajectories in hill's region via an extended Poincare map. Journal of Astronautics, 2007, 28(3): 643-648[EI: 073210754295]

Xie Wenxian(謝文賢), Xu Wei(徐偉), Cai Li(蔡力).Time dependence of entropy flux and entropy production for a dynamical system driven by noises with coloured cross-correlation.Chinese Physics, 2007, 16(1): 42-46[SCI: 119QI, EI: 071210497160]

Xu Wei(徐偉), Xie Wenxian(謝文賢), Cai Li(蔡力), Tang Yaning(唐亞寧). Information entropy of a dynamical system driven by quasimonochromatic noise. Physica A: Statistical Mechanics and its Applications, 2007, 384(2): 273-277[SCI: 217IU, EI: 073410782646]

2006：

Cai Li(蔡力), Feng Jianhu(封建湖), Xie Wenxian(謝文賢), Zhou Jun(周軍). Computations of steady and unsteady transport of pollutant in shallow water. Mathematics and Computers in Simulation, 2006, 71(1): 31-43[SCI:023QT, EI: 06089713921]

Cai Li(蔡力), Feng Jianhu(封建湖), Xie Wenxian(謝文賢), Zhou Jun(周軍). Tracking discontinuities in shallow water equations and ideal magnetohydrodynamics equations via Ghost Fluid Method. Applied Numerical Mathematics, 2006, 56(12): 1555-1569[SCI: 091DA, EI: 063710110388]

蔡力(Cai Li),封建湖(Feng Jianhu),謝文賢(Xie Wenxian),周軍(Zhou Jun).高階多維半離散中心迎風格式及其應用[High order semi-discrete multidimensional central-upwind scheme with applications].應用力學學報[Chinese Journal of Applied Mechanics], 2006, 23(1): 90-95[EI: 06209883118]

蔡力(Cai Li),周軍(Zhou Jun),封建湖(Feng Jianhu),佘紅偉(She Hongwei).基於變分等值線方法的圖像分割技術[Image segmentation based on variational contours method].計算數學[Mathematica Numerica Sinica], 2006, 28(1): 43-52

Feng Jianhu(封建湖), Cai Li(蔡力), Xie Wenxian(謝文賢). CWENO-type central-upwind schemes for multidimensional Saint-Venant system of shallow water equations. Applied Numerical Mathematics, 2006, 56(7): 1001-1017[SCI: 046TR, EI: 06199864360]

封建湖(Feng Jianhu),蔡力(Cai Li),謝文賢(Xie Wenxian),王振海(Wang Zhenhai).求解無粘可壓Euler方程組的虛擬流方法[The ghost fluid method for inviscid compressible Euler equations].計算力學學報[Chinese Journal of Computational Mechianics], 2006, 23(4): 496-501[EI: 064410214296]

謝文賢(Xie Wenxian),徐偉(Xu Wei),蔡力(Cai Li).色雜訊驅動的雙奇異隨機系統的熵流與熵產生[Entropy flux and entropy production of a stochastic system with double singularities driven by colored noise].物理學報[Acta Physica Sinica], 2006, 55(4): 1639-1643[SCI: 029OB, EI: 06199869208]

Xie Wenxian(謝文賢), Xu Wei(徐偉), Cai Li(蔡力).Study of the Duffing-Rayleigh oscillator subject to harmonic and stochastic excitations by path integration. Applied Mathematics and Computation, 2006, 172(2): 1212-1224[SCI: 015NF, EI: 06069683241]

2005：

Cai Li(蔡力), Feng Jianhu(封建湖), Xie Wenxian(謝文賢). A CWENO-type central-upwind scheme for ideal MHD equations. Applied Mathematics and Computation, 2005, 168(1): 600-612[SCI: 973CU, EI: 05409404984]

蔡力(Cai Li),封建湖(Feng Jianhu),謝文賢(Xie Wenxian),王振海(Wang Zhenhai).求解粘性Hamilton-Jacobi方程的高階方法[High-order schemes for viscous Hamilton-Jacobi equations].計算物理[Chinese Journal of Computation Physics], 2005, 22(2): 123-129[EI: 05229136301]

蔡力(Cai Li),封建湖(Feng Jianhu),謝文賢(Xie Wenxian),周軍(Zhou Jun).基於四階半離散中心迎風格式的虛擬流方法的應用[Applications of the ghost fluid method based on the fourth-order semi-discrete central-upwind scheme].爆炸與衝擊[Explosion and Shock Waves], 2005, 25(2): 137-144[EI: 05279196979]

蔡力(Cai Li),封建湖(Feng Jianhu),謝文賢(Xie Wenxian).求解多維雙曲守恆律方程組的四階半離散格式[Fourth-order semi-discrete scheme for multidimensional hyperbolic systems of conservation laws].應用力學學報[Chinese Journal of Applied Mechanics], 2005, 22(3): 479-483[EI: 05449453773]

Xie Wenxian(謝文賢), Cai Li(蔡力), Feng Jianhu(封建湖), Xu Wei(徐偉). Computations of shallow water equations with high-order central-upwind schemes on triangular meshes. Applied Mathematics and Computation, 2005, 170(1): 296-313[SCI: 979TR, EI: 05439430532]

封建湖(Feng Jianhu),蔡力(Cai Li),王振海(Wang Zhenhai).基於Level Set的雙曲守恆律標量方程的激波追蹤方法[Level set algorithm for tracking shock in hyperbolic conservation laws for multidimensional scalar equations].應用力學學報[Chinese Journal of Applied Mechanics], 2005, 22(1): 17-20[EI: 05199093314]

封建湖(Feng Jianhu),蔡力(Cai Li),謝文賢(Xie Wenxian).求解空氣動力學方程組的高解析度差分格式[An efficient difference scheme for gas dynamics equations].西北工業大學學報[Journal of Northwestern Polytechnical University], 2005, 23(2): 217-221[EI: 05269184596]

封建湖(Feng Jianhu),蔡力(Cai Li),謝文賢(Xie Wenxian),王振海(Wang Zhenhai),佘紅偉(She Hongwei).雙曲守恆律標量方程的高解析度激波追蹤方法[A high resolution algorithm for tracking shock in hyperbolic conservation laws for scalar equation].數值計算與計算機應用[Journal of Numerical Methods and Computer Applications], 2005, 26(2): 153-160

Feng Jianhu(封建湖), Cai Li(蔡力), Wang Zhenhai (王振海), Xie Wenxian(謝文賢).Image segmentation based on variational contours method and applications in crack detection of pavements.The 5th International Conference of Transportation Professionals, 2005

Xie Wenxian(謝文賢), Xu Wei(徐偉), Cai Li(蔡力), Jin Yanfei(靳艷飛).Upper bound for the time derivative of entropy for a dynamical system driven by coloured cross-correlated white noises. Chinese Physics, 2005, 14(9): 1766-1769[SCI: 961BR, EI: 05379357483]

Xie Wenxian(謝文賢), Xu Wei(徐偉), Cai Li(蔡力).Path integration of the Duffing-Rayleigh oscillator subject to harmonic and stochastic excitations. Applied Mathematics and Computation, 2005, 171(2): 870-884[SCI:015GM, EI: 06059668742]

謝文賢(Xie Wenxian),徐偉(Xu Wei),雷佑銘(Lei Youming),蔡力(Cai L).隨機參激和外激聯合作用下非線性動力系統的路徑積分解[Solutions of path integration for nonlinear dynamical system under stochastic parametric and external excitations].物理學報[Acta Physica Sinica], 2005, 54 (3): 1105-1112[SCI: 908KQ, EI: 2005159039758]

2004：

封建湖(Feng Jianhu),蔡力(Cai Li),佘紅偉(She Hongwei),王振海(Wang Zhenhai).基於圖的DTAD的簡易穩健自動生成演演算法[A simplified robust graph-based automatic Delaunay triangulation algorithm for arbitrary 2D domain].航空計算技術[Aeronautical Computer Technique], 2004, 34(1): 12-16

Feng Jianhu(封建湖), Cai Li(蔡力). Computations of steady and unsteady transport of pollutant in shallow water. The Third International Congress of Chinese Mathematicians, Section 8: Numerical Analysis, Hong Kong, P. R. China, December 17-22, 2004

王振海(Wang Zhenhai),張衛紅(Zhang Weihong),封建湖(Feng Jianhu),蔡力(Cai Li).材料界面運動的Level Set演演算法[Level set method for tracking the motion of material interfaces].工程數學學報[Chinese Journal of Engineering Mathematics], 2004, 21(8): 73-77

教改文章

蔡力，劉洋，朱元，王扈煒。多種方法的組合在國際數學建模競賽中的實踐。高等數學研究, 2014, 17: 41-43

蔡力，聶玉峰。國際班數值分析課程的教改研究。高等數學研究, 2014,已錄用

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英國Glasgow大學數學與統計學院榮譽副研究員