Theoretical Convergence of Numerical Schemes for Coupled 3D-1D Partial Differential Equations
Uzochi Gideon, MA Thesis. (2025). "Theoretical Convergence of Numerical Schemes for Coupled 3D-1D Partial Differential Equations." Rice University.
CV
Education
- Ph.D in Computational & Applied Mahematics, Rice University, 2028 (expected)
- M.A. in Computational & Applied Mathematics, Rice University, 2025
- B.S. in Mathematics, University of Nigeria, Nsukka, 2019
Work experience
- Fall 2023 - present: Research Assistant
- Rice University
- Duties includes: Analysing and implementing numerical schemes
- Supervisor: Professor Beatrice Riviere
- Spring/Summer 2023: Complian & Internal Control Intern
- Allianz Nigeria Insurance PLC
- Duties included: Filing of currency transaction report
- Supervisor: Victor Obetta
- Spring-Fall 2022: Instructor
- Phostine Premium Schools
- Duties included: Conducting tutorials and grading
- Supervisor: Mrs Lilian Ogbu
- Spring 2020 - 2021: Graduate Assistant
- University of Jos, Plateau State, Nigeria
- Duties included: Academic Planning and mangament, ensuring quality services and resources
- Supervisor: Professor Guwon
Skills
- Technical Skills
- Matlab
- Python
- Fenics
- Skill 3
Publications
Talks
Formulation and Analysis of Numerical Schemes for Coupled 3D-1D PDEs
Talk at O'connor Building 5th floor conference room, Houston, TX, USA
Theoretical Convergence of Numerical Schemes for Coupled 3D-1D PDEs (Poster)
at The Oden Institute for Computational Engineering & Sciences, Austin, TX, USA
Analysis of FEM methods for coupled 3D-1D diffusion-advection PDEs (Poster)
at O'Connor Building 5th floor conference room, Houston, TX, USA
Teaching
- Grading homework, quizzes, and exams
- Providing feedback to students on their solutions
- Assisting instructors with assessment consistency
- Supporting the instructional process through accurate and timely evaluation
- (Matrix Analysis & Linear Algebra, Differential Equations)
- Leading tutorial or discussion sessions
- Assisting learners with problem solving
- Grading assignments and exams
- compiling assessment reports
- Mathematics
- Mental Works and Quantitative Reasoning
- Cultural Arts
I currently serve as a graduate grader in the Department of Computational & Applied Mathematics. My responsibilities include:
Courses graded:
I have one year of teaching experience where I assisted learners in a vaeirty of courses.
My responsibilities included:
Courses included:
Conferences/Workshop
- Research at the Interface of Applied Mathematics and Machine Learning CBMS Conference, Houston, TX, December 2025.
- Numerical Analysis and Scientific Computing Workshop, Houston, TX, October, 2025.
- SIAM TX-LA Meeting, Austin, TX, September, 2025
- Scientific Machine Learning Workshop, Austin, TX, September, 2025
- Structure-Preserving Scientific Computing and Machine Learning Summer School and Hackathon, Seattle, WA, June, 2025.
- High Performance Computing Conference, Rice Ken Kennedy Institute, February, 2025.
- Finite Element Rodeo, Houston, TX, March 2024.
- Numerical Analysis and Scientific Computing Workshop, Houston, TX, October, 2024.
Service and leadership
- Treasurer: Society of Industrial and Applied Mathematics, Rice University Student Chapter, September 2025 - present.