Christina Frederick
Christina Frederick
Associate Professor, Mathematical Sciences
Education
Ph.D.; The University of Texas at Austin; Mathematics; 2014
B.S.; University of Maryland-College Park; Mathematics; 2008
B.S.; University of Maryland-College Park; Mathematics; 2008
2025 Spring Courses
MATH 701B - MASTER'S THESIS
Past Courses
MATH 111: CALCULUS I
MATH 222: DIFFERENTIAL EQUATIONS
MATH 222: DIFFERENTIAL EQUATIONS - HONORS
MATH 328: MATHEMATICAL METHODS FOR SCIENTISTS AND ENGINEERS
MATH 337: LINEAR ALGEBRA
MATH 391: NUMERICAL LINEAR ALGEBRA
MATH 614: NUMERICAL METHODS I
MATH 631: LINEAR ALGEBRA
MATH 222: DIFFERENTIAL EQUATIONS
MATH 222: DIFFERENTIAL EQUATIONS - HONORS
MATH 328: MATHEMATICAL METHODS FOR SCIENTISTS AND ENGINEERS
MATH 337: LINEAR ALGEBRA
MATH 391: NUMERICAL LINEAR ALGEBRA
MATH 614: NUMERICAL METHODS I
MATH 631: LINEAR ALGEBRA
Conference Abstract
“Optimal sampling strategies for seabed classification and source localization with Gaussian processes and machine learning”
Journal of the Acoustical Society of America, November 2023.
“Optimal sampling strategies for seabed classification and source localization with Gaussian processes and machine learning”
Journal of the Acoustical Society of America, October (4th Quarter/Autumn) 2023.
“Emergent circulation in the loopy network of bird lungs”
Bulletin of the American Physical Society: 73rd Annual Meeting of the APS Division of Fluid Dynamics, November 2020.
“Nonuniform sampling and multiscale computation”
Oberwolfach Reports,
Journal of the Acoustical Society of America, November 2023.
“Optimal sampling strategies for seabed classification and source localization with Gaussian processes and machine learning”
Journal of the Acoustical Society of America, October (4th Quarter/Autumn) 2023.
“Emergent circulation in the loopy network of bird lungs”
Bulletin of the American Physical Society: 73rd Annual Meeting of the APS Division of Fluid Dynamics, November 2020.
“Nonuniform sampling and multiscale computation”
Oberwolfach Reports,
Manuscript
“Examples of Riesz bases of exponentials for multi-tiling domains and their duals’”
La Matematica, November 2023.
La Matematica, November 2023.
Conference Proceeding
“Intermittent diffusion based path planning for heterogeneous groups of mobile sensors in cluttered environments’”
IEEE International Conference on Robotics and Automation, June 2023.
IEEE International Conference on Robotics and Automation, June 2023.
Journal Article
Abdou Ganiou Atindehou, Christina A. Frederick, Kasso Okoudjou, Y ́EB ́ENI KOUAGOU. 2022. “On the frame set of the second-order B-spline.” Applied and Computational Harmonic Analysis.
Christina A. Frederick, Zoi-Heleni Michalopoulou. 2022. “Seabed classification and source localization with Gaussian Processes and Machine Learning.” JASA Express Letters, vol. 2, no. 8.
Christina A. Frederick, Magnus Egerstedt, Haomin Zhou. 2021. “Collective motion planning for a group of robots using intermittent diffusion.” Journal of Scientific Computing, vol. 90, no. 13.
Christina A. Frederick, Azita Mayeli. 2021. “Frame spectral pairs and exponential bases.” Journal of Fourier Analysis and its Applications, vol. 27, no. 75.
Quynh Nguyen, Anand U. Oza, Joanna Abouezzi, Guanhua Sun, Stephen Childress, Christina A. Frederick, Leif Ristroph. 2021. “Flow rectification in loopy network models of bird lungs.” Physical Review Letters, vol. 126, no. 114501, pp. 6.
Christina A. Frederick, Zoi-Heleni Michalopoulou. 2022. “Seabed classification and source localization with Gaussian Processes and Machine Learning.” JASA Express Letters, vol. 2, no. 8.
Christina A. Frederick, Magnus Egerstedt, Haomin Zhou. 2021. “Collective motion planning for a group of robots using intermittent diffusion.” Journal of Scientific Computing, vol. 90, no. 13.
Christina A. Frederick, Azita Mayeli. 2021. “Frame spectral pairs and exponential bases.” Journal of Fourier Analysis and its Applications, vol. 27, no. 75.
Quynh Nguyen, Anand U. Oza, Joanna Abouezzi, Guanhua Sun, Stephen Childress, Christina A. Frederick, Leif Ristroph. 2021. “Flow rectification in loopy network models of bird lungs.” Physical Review Letters, vol. 126, no. 114501, pp. 6.
SHOW MORE
Christina A. Frederick, Kasso Okoudjou. 2020. “Finding Duality and Riesz Bases of Exponentials.” Applied and Computational Harmonic Analysis, vol. 51, no. 2021, pp. 104-117.
Christina A. Frederick, Soledad Villar, Zoi-Heleni Michalopoulou. 2020. “Seabed Classification using Physics-based Modeling and Machine Learning.” Journal of the Acoustical Society of America, vol. 148, pp. 859-872.
Christina A. Frederick, Kui Ren, Sarah Vallelian. 2018. “Image reconstruction in quantitative PAT with the simplified P2 approximation.” SIAM J. Imaging Sci, vol. 11, no. 4, pp. 30.
Christina A. Frederick. 2018. “An L2-stability estimate for periodic nonuniform sampling in higher dimensions.” Linear Algebra and its Applications, vol. 555, pp. 361-372.
Christina A. Frederick, Bjorn Engquist, Haomin Zhou, Quyen Huynh. 2017. “Seafloor identification in sonar imagery via simulations of Helmholtz equations and discrete optimization.” Journal of Computational Physics, vol. 338, pp. 477-492.
Christina A. Frederick, . 2017. “Numerical methods for multiscale inverse problems.” Communications in Mathematical Sciences, vol. 15, no. 2, pp. 305 – 328.
Christina A. Frederick, Soledad Villar, Zoi-Heleni Michalopoulou. 2020. “Seabed Classification using Physics-based Modeling and Machine Learning.” Journal of the Acoustical Society of America, vol. 148, pp. 859-872.
Christina A. Frederick, Kui Ren, Sarah Vallelian. 2018. “Image reconstruction in quantitative PAT with the simplified P2 approximation.” SIAM J. Imaging Sci, vol. 11, no. 4, pp. 30.
Christina A. Frederick. 2018. “An L2-stability estimate for periodic nonuniform sampling in higher dimensions.” Linear Algebra and its Applications, vol. 555, pp. 361-372.
Christina A. Frederick, Bjorn Engquist, Haomin Zhou, Quyen Huynh. 2017. “Seafloor identification in sonar imagery via simulations of Helmholtz equations and discrete optimization.” Journal of Computational Physics, vol. 338, pp. 477-492.
Christina A. Frederick, . 2017. “Numerical methods for multiscale inverse problems.” Communications in Mathematical Sciences, vol. 15, no. 2, pp. 305 – 328.
COLLAPSE
Monograph
“Seeing through rock with Optimal Transport”
Snapshots of modern mathematics from Oberwolfach, May 2022.
Snapshots of modern mathematics from Oberwolfach, May 2022.
Newsletter
“The Loopy Fluid Dynamics of Bird Lungs”
Society for Industrial and Applied Mathematics, September 2021.
Society for Industrial and Applied Mathematics, September 2021.