Research

Research Highlights: In Nov. 2025, I gave a talk: "Digital twins for lung ventilation: where are we? " at the workshop on Scientific Computing and Machine Learning, November 2-3, 2025, Penn State University. https://sites.google.com/view/wscml2025/schedule

Research Interests:

• Numerical analysis and scientific computing for fluid/structure/bio- mechanical problems 

• Scientific machine learning, data science, and digital twins

Links: 

1. CBMS Conference: Deep Learning and Numerical PDEs

https://sites.google.com/view/nsf-cbms-dl-nmpde/home?authuser=0

2. Github

 https://github.com/cmchao2005/

Selected research projects:

1. Numerical methods for poroelasticity and applications in brain edema and lung ventilation

2. Operator learning

3. Fast algorithms for correlation matrix calculations

4. Finite Element Methods for fluid mechanics, elasticity, and FSI

5. Fluid flow and porous media flow interactions

6. Two-phase flow simulations

Postdoc Researchers:

1. Dr. Bing Han (04/26/2023--12/24/2024) 

2. Dr. Pilhwa Lee (07/29/2020--05/24/2022)

Graduate Students:

1. Mr. Olusola Olabanjo, Math Major (CS background), Phd student 02/2023-Now. Research interest: numerical simulation of lung ventilation and machine learning. 

2. Mr. Edwin Aigbokhan, Math Major (CS background), Phd student 02/2023-Now. Research interest: numerical simulation of lung ventilation and machine learning.

3. Mr. Stanley Diala, Math Major (CS background), Phd student 02/2023-Now. Research interest:  machine learning.

4. Mr. Ikechukwu (Michael) Nwamadi, Math major, Master student, 09/2020-06/2021. Research interests: machine learning. Master Thesis: Detection of Covid-19 cases from chest X-ray images using convolutional neural network.

5. Mr. Talal Alshehri, Math major, Master student, 06/2020-12/2021. Research interests: numerical PDEs.  (Now, Talal is my PhD student)

6. Mr. Serges Love Teutu Talla, Math major, Master student, 06/2019-08/2019. 

7. Mr. Dave Evans (Master student), Morgan State University, 01/2018-01/2019. Research interests: parallel solvers for some PDEs.

8.  Mr. Abdoul Sall (Master student), Morgan State University, 01/2018-06/2018. Research interests: numerical methods.

9. Ms. Sharaf, Kholoud (Master student, co-advised with Dr. Guoping Zhang), Morgan State University, 03/2017-07/2017, Research interests: analysis of partial differential equations.

10.  Ms. Jasmine, Alston (PhD student, worked with me 10/2016-08/2017, graduated under the supervison of Dr. Nkwanta), Morgan State University. Research interests: Data mining and numerical linear algebra

11.  Ms. Fangfang, Qin (PhD student, now working as an assistant professor at Nanjing University of Posts and Telecommunications), Nanjing Normal University, 09/2015-7/2016. Project: Immersed finite element methods for linear elasticity interface problems.

12. Mr. Christopher, Gaines (Master student), Morgan State University, 05/2016-12/2016. Project: An efficient algorithm for computing the nearest correlation matrix by using Tony Chan's preconditioner.

13. Mr. Sabeel, Khan (Master student), Technical University of Dortmund, 12/2008-07/2009. Master thesis: Phase field methods for Multi-phase flow simulations.

Undergraduate Students:

1. Ms. Abena Seffah, Math major, 05/2024--02/2025, Scientific editing and Matlab programming.

2. Ms. Monica Bandora, CS major, 03/2021--02/2023, Scientific editing and Matlab programming. 

3. Ms. Dina Oluwadara  CS major,  05/2021-12/2021, Scientific editing 

4. Mr. Xavier Ray, CS major,  08/2019-03/2020; Machine Learning

5. Mr. Da'shawn Larry, CS major,  05/2019-03/2020; Machine Learning

6. Mr. Tamajong Nchukwi, CS major, got an internship from google in Summer 2019, 04/2019-01/2020

7. Mr. Muhammad Moiz, EE major, 02/2019-07/2019, Scientific editing and Matlab programming.

8. Ms. Azizah Conerly, EE major, got an internship from NIST in Summer of 2019, 02/2019-1/2020. Admitted as a PhD student at NCSU. 

9. Lemech Barnes, EE major, Morgan State University, 09/2017-02/2019, Research interests: python programming for PDEs.

10. Mr. Jerel Roane, Math major, Morgan State University, 08/2018-12/2018, Research interests: scientific editing and Matlab programming.

11. Mr. Akinolu Olagunju, EE major, Morgan State University, 01/2018-03/2019, Research interests: scientific editing and Matlab programming.

12. Mr. Dexter Harris, CE major, Morgan State University, 08/2017-05/2018, Research interests: mesh generation.

13. Mr. Davis Orubele, EE major, Morgan State University, 06/2017-12/2018, Research interests: Matlab program for plotting figures and computations)

14. Mr. William, III, Honablew, Math major, Morgan State University, 03/2017-05/2018, Research interests: numerical methods for partial differential equations.

High School Students:

1. Ms. Eden Rhodes,Baltimore Polytechnic Institute , 05/2021--now, Research interest: machine learning

2. Mr. Isaiah Chapman (Co-advised with Dr. Nkwanta),  Baltimore Polytechnic Institute ,  06/2019-08/2020, Research interest:  math models and data analysis of urban lead poisoning in Baltimore city