师资队伍

基本信息

姓名:梁进

部门:金融数学

职称:教授

E-mail:liang_jin@tongji.edu.cn

办公室:致远楼302

研究方向:

金融数学

工作经历:

2005.03-至今     同济大学     教授

论文与出版物:
  1. Jin Liang : “The Reaction - Diffusion System without Quasi - monotone Conditions”,  Acta Scientiarum Naturalium  Universitatis Pekinensis, No.3 (1987) 9-20 (Chinese, English summary).  Mathematics Review (M.R.). 89h:35160
  2. Liang Jin, ``Partial Regularity of Elliptic Systems by Blow-up method”, Bollettino U.M.I.  (6) 5-A, (1986) 443-448. M.R. 88a:35084
  3. Liang Jin,  “The Spin Wave System in Ferromagnetic Lattics”,  J. Partial Differential Equations, 2, No.1 (1989) 31-39.M.R. 90k:82093
  4. Liang Jin, “The One-Dimensional Quasilinear Verigin Problem”, J. Partial Differential Equations, 4, No.2 (1991)  74-96. M.R. 92f:35088
  5. Jiang Lishang & Liang Jin, “The Perturbation of the Interface of the Two-dimensional Diffraction Problem and an  Approximating Muskat Model”, J. Partial Differential Equations,  3, No.2 (1990) 85-96. M.R. 91f:35274
  6. Liang Jin, “On the Semiconductor System”, J. Partial Differential Equations, 5, No. 1 (1992), 69-78. M.R. 92m:35133
  7. Liang Jin & Ye Qixiao, “The Monotone Method on the Sub- Strongly Coupled Reaction-Diffusion Systems”,  Portugaliae Mathematica, 50, Fasc. 2 (1993), 193-204. M.R. 94h:35120
  8. J. Liang, “Weakly-Coercive Quasilinear Elliptic Equations with Inhomogeneous Measure Data” ,   Progress in Partial Differential Equations: Elliptic and Parabolic Problems, Pitman Research Notes in Mathematics Series  266, Longman Scientific & Technical, (1992), 182-192. M.R. 94b:35116
  9. J. Liang,  “On the Problem of Piston-like displacements in Porous Media”,  Free Boundary Problems in Fluid Flow with Applications, Pitman Research Notes in Mathematics Series  282,  Longman Scientific & Technical, (1993), 114-120. M.R. 93k:00036
  10. J. Liang, “Dirichlet Problem for a Nonlinear Integrodifferential Semiconductor System from N-Gaas Model”,  Proceedings of International Conference on Differential Equations , Barcelona 1991, World Scientific, (1993), 694-698.
  11. J. Liang & L. Santos, “On a Kind of Nonlinear High Order Variational Inequality System”, Differential and Integral Equations, 6, (1993), 1519-1530. M.R. 94g:35105
  12. Zhiming Chen, K.-H. Hoffmann & Jin Liang, “On a Nonstationary Ginzburg-Landau Superconductivity Model”.  Mathematical Methods in the Applied Sciences 16 (1993), 855-875. M.R. 94k:35312
  13. J. Liang, “On a Nonlinear Integrodifferential Drift-Diffusion Semiconductor Model”,  SIAM J. Math. Anal, 25, No.5 (1994), 1375-1392. M.R. 95g:35205
  14. Jin Liang, “Discountinuous Nonlinearities and Free Boundary Problems”, FBP News, No.5, July (1994), 4-5.
  15. Jin Liang & Qin Tiehu, “Asymptotic Behaviour of Weak Solutions to Boundary Value Problem for Dynamic Viscoelastic Equation with Memory”, Proceedings of the Royal Society of Edinburgh, 125A (1995), 153-164. M.R. 96b:35214
  16. Jin. Liang, “The Regularity of the Solution for the Curl Boundary Problems and Ginzburg-Landau Superconductivity Model”, Mathematical Models and Methods in Applied Sciences, 5 (1995), 529-542. M.R. 96c:35155
  17. Jin Liang & Tang Qi, “Asymptotic Behaviour of the Solutions of an Evolutionary Ginzburg-Landau Superconductivity Model”, J. Math. Amal. Appl., 195 (1995), 92-107. M.R. 96h:35209.
  18. Jin Liang  & J.F. Rodrigues, “Existence of Solutions for Quasilinear Weakly Coercive Elliptic Variational Inequality”, J. Partial Differential Equation, 8 (1995), 205-210. M.R. 96h:35076.
  19. A. Decarreau, Jin Liang & J. M. Rakotoson, ``Trace Imbeddings for T-Sets and Application to Neumann -Dirichlet Problems with Measures Included in the Boundary Data", Annales de la Faculte des Sciences, V (1996) 443-470.
  20. Jin Liang & J.F. Rodrigues, “ Quasilinear Elliptic Problems with Nonmonotone Discontinuities and Measure Data”, Portugaliae Mathematica, 53 (1996) 239-252. M.R. 97d:35075.
  21. Jin Liang, “A High Order  Spin Wave System with Time Periodic Condition”, Trends in Applications of Mathematics to Mechanics, Pitman Monographs and Surveys in Pure and Applied Mathematics 77, Londman (1995), 37-44.
  22. Jin Liang, “ Regularity  of Solutions for Arbitrary Order Variational Inequalities with General Convex Sets”, Analyse Nonlineaire, 14 (1997), 719-758.
  23. Jin Liang , “On convergence of a sequence of parameterized closed convex sets and its applications”.  J. Partial Differential Equations. 13 (2000), 361-383.
  24. Jin Liang, “On a High Order Spin Wave System with Nonlinear Free Term”,  J. Partial Diff. Equ. 19 (2006) 80-96.
  25. Lin, Jianwei & Jin Liang “Pricing of Perpetual American and Bermudan Options by Binomial Tree Method”, Front Math. China, 2 (2007) 243-256
  26. Jin Liang, Bei Hu, Lishang Jiang & Baojun Bian, “On the Rate of Convergence of the Binomial Tree Scheme for American Options”, Numerische Mathematik 107 (2007) 333-352
  27. Jin Liang,On the Convergence Rate of  the Binomial Tree Scheme for an American Option with Jump-Diffusion,Numerical Mathematics  - A Journal of Chinese University,30 (2008)76-96
  28. 周鹏,梁进,“信用违约互换定价分析”, 高校应用数学学报22  (2007), 311-314. (paper in Chinese)
  29. 马俊美,梁进,“一篮子信用违约互换定价的偏微分方程方法”, 高校应用数学学报  23  (2008), 427-436  (paper in Chinese)
  30. 吴森,梁进,高扬,“考虑经济周期的公司债券定价”,系统工程,2008 增刊(I),122-125  (paper in Chinese)
  31. 高扬,梁进,“连续支付美式分期付款期权的计算”,哈尔滨工程大学学报, 29  (2008),1352-1355  (paper in Chinese)
  32. 马俊美,纪青,李水田,梁进,“生态系统的参数确定问题”,数学的实践与认识, 38 (2008),105 -113. (paper in Chinese)
  33. 梁进,孔亮亮,马俊美,“券商集合型基金”,同济大学学报  (2010) 38  1550-1555 (paper in Chinese)
  34. Bei  Hu,Jin Liang  & Lishang Jiang, ,  Optimal Convergence Rate of  the Explicit Finite Difference Scheme  for American Option Valuation,  J. Comp. App. Math. 230 , (2009), 583-599.
  35. Jin Liang, Bei Hu  & Lishang Jiang, Optimal Convergence Rate of  the Binomial Tree Scheme  for American Options with Jump Diffusion  and Their Free Boundaries, SIAM Financial Mathematics, 1 (2010) 30-65.
  36. 王涛,梁进,基于Vesicek模型的一篮子CDS定价公式解的局限性和有效性研究,系统工程 , 27 (2009) No .5 
  37. Jin Liang, Junmei Ma, Tao Wang & Qin Ji, “Valuation of Portfolio Credit Derivatives with Default Intensities Using the Vasicek Model”, Asia-Pacific Financial Markets 18 (2011) 33-54
  38. Yujing Zhou  & Jin Liang, “Valuation of a Basket Loan Credit Default Swap”,  International Journal of Financial Research 1 (2010) 21-29
  39. 梁进,徐寅,郭高月,信用攸关的利率互换的定价研究, 同济大学学报  38 (2010)  1550-1555  (paper in Chinese)
  40. Jin Liang, Peng Zhou, Yujing Zhou & Junmei Ma, Valuation of Credit Default Swap with Counterparty Default Risk by Structural Model,  Applied Mathematics 2 (2011)
  41. 吴森,梁进,“抵押贷款信用违约互换的定价”,高校应用数学学报 26, (2011) No.3,269-278.
  42. Jin Liang & Yujing Zhou,  Valuation of a tranched Loan Credit Default, Technology and Investment 2,(2011) 240-246
  43. 梁进,周宇晶, “从合成担保债务契约市场报价反求期望损失的参数分析应用”,数学的实践与认识, 41 No.23, (2011) 1-9
  44. Sen Wu, Lishang Jiang  & Jin Liang, Intensity-based Models for Pricing Mortgage-Backed Securities with Repayment Risk under a CIR Process,  International Journal of Theoretical & Application Finance,15, No. 3 (2012) 1250021 1-17
  45. Bei Hu, Lishang Jiang, Jin Liang & WeiWei,  A Fully Non-linear PDE Problem  from Pricing CDS with Counterparty Risk, The Journal Discrete and Continuous Dynamical System. Series B, 17 No.6 (2012) 2001-2016
  46. Jin Liang & Tao Wang, Valuation of Loan-only Credit Default Swap with Negatively Correlated Default and Prepayment Intensities,   International Journal of Computer Mathematics,  89, Issue 9, (2012), 1255-1268
  47. Yuan Wu & Jin Liang, Valuation of Loan Credit Default Swaps Correlated Prepayment and Default Risks with Stochastic Recovery Rate,  International Journal of Financial Research, 3, No. 2 (2012), 60-68
  48. 高扬,梁进,跨国公司债券的PDE定价分析,运筹与模糊学, 2  No. 1, (2012) 8-18  
  49. Jin Liang & Yang Gao,  Calibration of Implied Volatility for the Exchange Rate for the Chinese Yuan from its Derivatives, Economic Modelling, 29, Issue 4, (2012), 1278-1285
  50. Tao Wang, Jin Liang & Xiaoli Yang, Pricing for a Basket CDS and LCDS,  Modern Economics, 3   No. 2, ( 2012),  171-178
  51. 戎嫣耘, 杨晓丽, 梁进, 结构化模型下的贷款违约互换定价, 高校应用数学学报 27, (2012) No.2,146-156.
  52. 梁进,王涛,杨晓丽, 考虑交易对手违约的单名LCDS定价及其CVA计算, 同济大学学报41(2013) No. 6. 945-952
  53. Jin Liang & Yin Xu, “Valuation of Contingent Credit Interest Rate Swap”,  Risk and Decision Analysis  4 ,No.1(2013)39-46
  54. Jin Liang, Ming Yang & Lishang Jiang, A Closed-Form Solution for the Exercise Strategy in a Real Options Model with a Jump-Diffusion Process.,  SIAM J. of Applied Mathematics 73 (2013)549-571.
  55. Xiaoli Yang, Jin Liang and Yuan Wu, Optimal Control of  Perpetual CPDO: Minimal Cash-Out Probability and Maximal Conditional Return, to appear in Optimal Control, Applications and Methods.
  56. Yin Xu, Jin Liang,Valuation of CMS-Linked TARNs, Proceeding of 13 CMMSE, 2013, 1428-1437
  57. 杨晓丽,梁进,“一国碳减排的最小费用研究”,系统工程理论与实践接受
  58. 梁进,李文毅,“含多交易对手信用违约互换风险模型”,同济大学学报,42(2014),144-150

学位论文: 

  1. 数学硕士: 郑州大学数学系,导师陈国旺(1985),论文题目:“Spin Wave System in Ferromagentic Lattics and a Nonlinear High Order Partial Differential System”; 
  2. 科学博士: 北京大学数学系,导师姜礼尚(1989),论文题目:“The Perturbation of the Interface of the Diffraction Problem and the Piston-like Displacement in Porous Media”; 
  3. 金融数学MSC: 英国爱丁堡大学/Heriot-Watt 大学(2000),论文题目:“ Analysis and Dynamic Programming for Measuring Brokers Performance”。 

著作:

  1. 淌过博物馆   2012
  2. 利率互换及其衍生产品(译)  2013
  3. 数学建模讲义(合)2014

教学论文:  

  1. Liang, Jin; Wang, Lihe,On the occasion of the seventieth birthday of Professor Jiang Lishang. J. Partial Differential Equations 19 (2006),  1–9.
  2. “用英语上专业课仍然可以有幽默”《科学时报》,2011年9月
  3. “应用数学的角色”,《科学》,62 No.1 (2010) 1-2
  4. “答辩博弈”,《科学新闻》,2009年12月
  5. “解析次贷危机”,《科学》,61, No.2 (2009)(与姜礼尚、任学敏合作)3-8
  6. “金融衍生品和信用风险定价的数学模型”,  《数学建模及其应用》 2012年6月, 15-18
  7. “法国的精英是怎样炼成的” ,《上海教育.环球教育资讯》 821,  No.1 (2012), 36-38
  8. “走马观花看法国的精英数学教育”,《中国数学会通讯》2012 No.2
  9. “郑板桥的画竹与数学建模”,《中国数学会通讯》2013 No.3
  10. “工科数学”课程全英语教学的探索和实践,《同济大学双语、全英语课程建设的实践与探索》,同济出版社,2013, 183-186,(与殷俊锋 蒋凤瑛 梁进 周羚君合作)

个人简介:

       博士生导师。1989年在北京大学获得应用数学专业理学博士学位后曾到国外留学多年并在英国取得金融数学MSc学位。之后又在英国的金融相关部门工作多年,主持多项金融产品的开发和推广,熟悉国外金融业务,有丰富的金融实践经验。在学术研究方面,发表了五十余篇学术论文。2005年回国加入了同济大学金融数学研究的队伍,在金融二叉树方法最佳收敛速率方面完成了多篇论文并有所建树。现在正在进行 信用衍生产品方面的研究。 讲授课程: 金融衍生品定价理论、数学文化、数学建模、数理方程、高等数学、自由边界选讲等。

教学授课:

       金融衍生品定价理论、数学文化、数学建模、数理方程、高等数学、自由边界选讲等。

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