Shanghai Normal University is a key construction university in Shanghai. There are philosophy, economics, law, education, literature, history, science, engineering, management, agriculture, art and other disciplines 1 1, so what is "computational mathematics" in the School of Science and Mathematics of Normal University? Let's have a look.

School profile, Shanghai Normal University.

Shanghai Normal University is a comprehensive university with the coordinated development of arts and crafts. It is good at arts and has the characteristics of normal education. The school has entered the ranks of universities supported by the comprehensive education reform department of Shanghai, and is a pilot unit for the construction of high-level local universities (disciplines) in Shanghai.

The school has a complete range of disciplines and fruitful teaching results. At present, there are 16 disciplines such as philosophy, economics, law, education, literature, history, science, engineering, management, agriculture and art, 9 first-class doctoral programs, 9 postdoctoral mobile stations, 32 first-class master programs, and 18 professional degree categories. The school has 1 national key disciplines; 1 1 Shanghai Key Discipline; 1 1 discipline entered the discipline of Gao Feng Plateau; Ministry of Education and Shanghai Undergraduate Major Comprehensive Reform Pilot Major1; Four characteristic specialty construction points in the institutions of higher learning of the Ministry of Education: three reform projects of the "Excellent Teacher Training Program" of the Ministry of Education: 1 National New Engineering Research and Practice Project; Eight pilot professional construction projects of applied undergraduate courses in Shanghai municipal universities; 18 Shanghai undergraduate education highland construction project. Five subjects entered 1% subjects before ESI. There are nearly 9000 graduate students in the school.

The school attaches great importance to international education and has extensive exchanges and cooperation with foreign countries. It is listed as a scholarship institution for international students in China and a preparatory base for foreign students in Shanghai. The school has established exchanges and cooperation with nearly 400 universities and organizations in more than 40 countries and regions on six continents.

2, "Computational Mathematics" discipline, professional introduction (tutor, research direction and characteristics, academic status, research results, research projects, curriculum, employment, etc. ):

Scientific calculation is one of the three major research methods in contemporary science and engineering research, which plays a very important role in the development of science and technology. Computational Mathematics of Shanghai Normal University was approved as a master's degree awarding point in 1980 and a doctoral degree awarding point in 2000. It is the second and third key construction discipline in Shanghai, and has the E- Institute of Computing Science in Shanghai universities and the Key Laboratory of Scientific Computing in Shanghai universities.

This subject has a high-level academic team with reasonable age structure and full of vitality. In recent five years, this discipline has published more than 100 papers in famous computational mathematics magazines at home and abroad, and undertaken more than 10 national and Shanghai scientific research projects. At present, there are professional teachers 13 (including 4 professors, 7 associate professors, 2 lecturers, doctoral teachers 13) and master tutor10/person.

The main content of this major is the methods, theories and applications of scientific and engineering calculation, focusing on the research and development of high-level numerical calculation methods, providing effective tools for practical application. Therefore, master students are required to have a solid mathematical foundation, rich professional knowledge and certain scientific computing ability. After graduation, I have the ability to engage in scientific research independently and become a researcher in numerical analysis and a teacher in related majors in colleges and universities.

The main courses of this major are: functional analysis, mathematical and physical equations, numerical analysis, finite element method, spectral method, difference method, matrix calculation, numerical solution of ordinary differential equations, numerical solution of stochastic differential equations, inverse problem of partial differential equations and its numerical solution, numerical method of delay differential equations, numerical method of differential-algebraic equations, theory and method of variational problems, and optimization theory and method.

The main research directions of this major are: numerical solutions of partial differential equations and numerical solutions of ordinary differential equations.

1. The main research contents of numerical solutions of partial differential equations are: high-precision spectral method and high-order finite element method for mathematical and physical problems, calculation of stochastic partial differential equations and calculation methods of multiple solutions of nonlinear differential equations. The main tutors are Professor Guo Ling, Professor Jiao, Professor Li, Associate Professor Yao Xudong, Associate Professor Yi Lijun and Associate Professor Xu Yifeng.

Professor Guo Ling is mainly engaged in uncertainty quantification, partial differential equation calculation based on machine learning and its application research. He has published more than 20 academic papers in SIAM Review, SIAM J.Sci.Comp, J.Comput.Phys, Int. J. Uncertaintity. Quantif, and presided over 2 projects of the National Natural Science Foundation, the doctoral program fund of the Ministry of Education and the Shanghai Natural Science Foundation/KLOC-0. Now he is a professional member of Shanghai Vibration Mechanics Professional Committee.

Professor Jiao studied computational fluid dynamics and numerical solutions of fractional differential equations, and published more than 20 academic papers in SIAM. He presided over the general project of National Natural Science Foundation of China 1, the general project of Shanghai Natural Science Foundation 1, and participated in 3 national natural science foundation projects. Won the third prize of Shanghai Teaching Achievement Award and Shanghai Yucai Award.

Professor Li is mainly engaged in the algorithm design and application research of multiple solutions of nonlinear differential equations, and has published more than 20 academic papers in domestic and foreign academic journals such as J.Comput.Phys, J.Sci.Comput, COMM. COMPUTE, etc. Physics and science. China math. He presided over the general project of National Natural Science Foundation of China 1, the project of Shanghai Natural Science Foundation, the innovative project of Shanghai Education Commission, and the project of outstanding young teachers, and participated in many national, provincial and ministerial projects.

Associate Professor Yao Xudong studied the calculation of multiple unstable solutions of nonlinear problems, and published many papers 10 in famous international magazines such as SIAM. Siamese anorectum. J.Sci.Comput mathematics. Comparison between program and mathematics

Associate Professor Yi Lijun is mainly engaged in the research of high-order finite element method and differential equation spectrum method. He has published more than 20 papers in academic journals such as SIAM J.Numer.Anal, Math.Comp and Math. Model Methods Appl.Sci, presided over the National Natural Science General Program, Youth Fund, Mathematics Tianyuan Fund, Doctoral Program Fund of the Ministry of Education, and participated in many projects.

Associate Professor Xu Yifeng studies finite element method and its application in numerical calculation of partial differential equations. More than 10 research papers have been published in domestic and foreign academic journals such as Math. Comparison, Siam. J.Num.Anal, Siam.contr.optim, IMA.num.anal and inverse problems. He is in charge of the National Natural Science Foundation 1 project and the Shanghai Natural Science Foundation 1 project.

2. The main research contents of numerical solution direction of ordinary differential equation: calculation method of ordinary differential equation, calculation method of delayed differential equation, calculation method of stochastic differential equation, etc. The main tutors are Professor Tian Hongjiong, Professor Wang Wansheng, Professor Guo Qian, Associate Professor Sun Leping and Associate Professor liuyong.

Professor Tian Hongjiong is mainly engaged in the research of calculation methods of ordinary differential equations. He won the second prize of Heilongjiang Science and Technology (second prize in 2007), published a book by Science Publishing House (second prize in 20 12), published more than 60 papers in SIAM J.Numer.Anal. and SIAM J.Sci.Comput, presided over 4 projects of the National Natural Science Foundation, and won the key scientific and technological projects of the Ministry of Education 1. Key basic research projects of Shanghai Science and Technology Commission, Shanghai Natural Science Foundation Project, Shuguang Scholar Program of Shanghai Education Commission, Seven-Star Program of Shanghai Science and Technology Commission and key innovation projects of Shanghai Education Commission. In 2009, he was awarded as an outstanding young teacher in Shanghai universities and an outstanding teacher in Shanghai Normal University. He is currently the director of Shanghai Key Laboratory of Scientific Computing, the director of China System Simulation Society and the executive director of Shanghai Mathematical Society.

Professor Wang Wansheng is mainly engaged in the research of algorithm theory and application of ordinary differential equations and partial differential equations. He won two second prizes of Hunan Natural Science Award (20 16, the first; In 2009, the sixth session), Henry Fok Young Teacher Award, etc. , published more than 60 papers in SIAM J.Numer.Anal, Siam J. Sci. Compute. Numer. Math and other magazines, presided over 3 national natural science foundation projects, Hunan Outstanding Youth Fund 1 project, China postdoctoral fund and key projects of Hunan Provincial Education Department. In 2009, he was awarded the title of teaching expert of young teachers in colleges and universities in Hunan Province. The second-class candidate of "12 1 talent project" in Hunan Province in the new century is the academic leader of ordinary universities in Hunan Province. He is currently a member of the Simulation Algorithm Professional Committee of China System Simulation Society and the executive director of Hunan Mathematical Society.

Professor Guo Qian is mainly engaged in the research of stochastic calculation and numerical solutions of stochastic differential equations, including numerical solutions of stochastic ordinary differential equations and stochastic partial differential equations. He won the third prize of Shanghai Natural Science Award (20 19, the second finisher) and published more than 30 papers in SIAM J.Control Optim. And m3a. He presided over 2 national natural science foundation projects, Shanghai natural science foundation and many other scientific research projects. In 2007, he was awarded as an outstanding young teacher of Shanghai Normal University, an outstanding young and middle-aged academic backbone of Shanghai Normal University in 20 10, the third prize of the 4th Wang Le of Shanghai Normal University in 20 15, and the first Chang Zhao Gold Award of Shanghai Normal University in 20 18. He is currently the director of Shanghai Institute of Industrial and Applied Mathematics.

Associate Professor Sun Leping studies the numerical stability of delay differential systems and the calculation method of differential-algebraic equations. He has published more than 20 papers in Math.Comp, Appl.Math.Comput and Inter.J.Comput.Math, presided over the Shanghai Natural Science Foundation and the Shanghai Municipal Education Commission 1 Innovation Project, and participated in 3 projects of the National Natural Science Foundation. Won the first prize of "Chinese and foreign comparative mathematics education" achievement award in Shanghai.

Associate Professor liuyong is mainly engaged in stability analysis, numerical approximation and asymptotic behavior of stochastic ordinary differential equations. He has published more than 0 articles 1 in foreign journals such as Ann.Probab, Siam J. Contr. Optim. Numer. Algorithms, and presided over projects such as Youth Fund of National Natural Science Foundation of China, Shanghai Pujiang Talent Plan and Shanghai Chen Guang Plan1. .

This subject has a clear training goal and a complete training plan, and has established a relatively perfect curriculum system and assessment methods. The graduation thesis meets the academic requirements of master's degree. Graduates mainly work in universities, scientific research institutions and other enterprises and institutions.

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