Research Areas in Mathematics ... Step-stress modelling is a special case of ALT, where one or more stress factors are applied in a life-testing experiment, which are changed according to pre-decided design. Home. Research. Applied mathematics is the application of mathematical methods in other fields. Research projects. Applied mathematics: As the name implies, this is the branch of mathematics that is concerned with the application of mathematical methods and ideas in different areas of human endeavors such as business, sports, computer science, or engineering. Applied mathematics at the Stanford Department of Mathematics focuses, very broadly, on the areas of scientific computing, stochastic modeling, and applied analysis. Math Research Topics for Elementary School Students. Applied mathematics projects. Research in Applied Mathematics Faculty and students interested in the applications of mathematics are an integral part of the Department of Mathematics; there is no formal separation between pure and applied mathematics, and the Department takes pride in the many ways in which they enrich each other. The Department of Mathematics offers a comprehensive educational program in applied and computational mathematics, promotes both fundamental research and scientific/engineering applications, and houses the Center for Computational & Applied Mathematics.. Current research topics by the Applied Math Faculty members include: These changes have been triggered by the development of more powerful computers allowing researchers to address previously intractable problems, and developments in other fields which have led 25 Ideas of Great Research Paper Topics on Math for You Some may think that writing a research paper on Math can be dull, but let us assure you that the world of mathematics is vivid and wonderful. Research topics Applied Mathematics . How to identify even and odd numbers. Research includes mathematical analysis, partial differential equations, numerical analysis, applied probability, dynamical systems, multiscale modeling, high performance scientific computation, and numerical optimization with applications in optics and photonics, material science, machine learning, data science, imaging science, biology, and climate modeling, to name a few. By undertaking a project with us, youâll have the chance to create change within a range of diverse areas. Note: My answer will of course be influenced by the realm of my own research Do note that Oleg Khutoryansky has a very good list of topics. Research in Applied Mathematics has changed dramatically over the past 30 years, with revolutionary developments in traditional areas, together with the emergence of exciting new areas. We study a wide range of applied problems, from mathematical biology to industrial mathematics and quantum chemistry. The faculty in Applied Mathematics specializing in this area of research generally work on problems in nonlinear waves, dynamical systems, partial differential equations and applications. Mathematics is the universal language that can describe everything and anything: from music to galaxies orbiting each other. I'm going to explain some of the topics I think are interesting. Some of the more specific areas of interest are, again broadly, signal processing, compressed sensing, imaging, fast numerical algorithms, and mathematical analysis of the physical phenomena in random media. ... constructed (and analyzed) with values in Banach spaces, Hilbert spaces and in the duals of nuclear spaces.