1. Applied mathematics: linear algebra, matrix theory, Vector analysis, complex analysis, differential equations, Laplace transform, Fourier analysis, numerical analysis, probability theory, mathematical statistics, combinatorial mathematics, computational mathematics, information theory, etc
2. Computational science: Complex integral equations and numerical methods, numerical analysis, nonlinear equations, numerical linear algebra, complex analysis and special functions, computational geometry, application of computing technology and high performance computing science, numerical computing software development, fuzzy mathematics and mathematical logic, graph theory and combinatorial algorithm, etc
3, computer simulation: high performance computing and simulation, universal computing and simulation, discrete and numerical simulation, intelligent computing and simulation, parallel and distributed computing simulation, real-time modeling and simulation, dynamic modeling and simulation, based on the Web simulation, simulation optimization, intelligent system modeling and simulation, complex system modeling and simulation, power system simulation, environmental modeling and simulation, etc