Program Overview

Ph.D. in Computational Mathematics, Science and Engineering

The CMSE Ph.D. program provides students with comprehensive and broad training in computational mathematics and its applications to solve challenging problems in science, engineering, health, education, and other domains. This unique program prepares future field leaders with in-depth knowledge in computational mathematics and science.

Program Overview

The program enables students to systematically learn cutting-edge theories, methodologies, and techniques in scientific computing, data science, and artificial intelligence (AI). Students will be able to advance scientific discoveries and engineering paradigms through synergistic inter-disciplinary research projects. A highly vibrant and engaging ecosystem with collaboration opportunities is provided to foster rigorous and impactful research innovations.

Program Outcomes

Students who complete this Ph.D. program will conduct original research and present in peer-reviewed publications, along with other venues of scientific communications, to gain solid expertise in:

• Formulate scientific and engineering problems into new mathematical models and develop robust, scalable algorithms with rigorous theoretical foundations to gain novel insights and knowledge.
• Establish data-driven modeling and analysis frameworks empowered by big-data integration, machine learning, and AI, grounded in strong theoretical understanding of algorithmic principles.
• Harness AI and high-performance computing to advance large-scale simulations and accelerate discoveries in science and engineering.
• Foster interdisciplinary applications that enable breakthroughs across science and engineering.

Mathematical Foundations of Computational Science

The program covers:

• Numerical analysis
• Computational harmonic analysis
• Mathematical modeling
• Computational physics
• Inverse problem

Computational Data Science & AI

The program includes:

• Scientific machine learning
• High performance computing
• Topological data analysis
• Computational biology
• Statistical modeling

Academics

The College of Natural Science offers various programs, including:

• Undergraduate Program
• Graduate Programs
  • Master's of Science in Data Science
  • Ph.D. in Computational Mathematics, Science and Engineering
    • Program Requirements
    • FAQ
  • Dual Ph.D. in Computational Mathematics, Science and Engineering
  • Graduate Courses
  • Graduate Certificates
  • Graduate Handbook
  • Current and Incoming Students
• Bioinformatics Program
• AI NSF Research Traineeshep (AIDMM-NRT)