Christina Frederick
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
2023 Fall Courses
MATH 222 - DIFFERENTIAL EQUATIONS - HONORS
MATH 792B - PRE DOCTORAL RESEARCH
MATH 792B - PRE DOCTORAL RESEARCH
Past Courses
MATH 111: CALCULUS I
MATH 222: DIFFERENTIAL EQUATIONS
MATH 337: LINEAR ALGEBRA
MATH 391: NUMERICAL LINEAR ALGEBRA
MATH 614: NUMERICAL METHODS I
MATH 631: LINEAR ALGEBRA
MATH 222: DIFFERENTIAL EQUATIONS
MATH 337: LINEAR ALGEBRA
MATH 391: NUMERICAL LINEAR ALGEBRA
MATH 614: NUMERICAL METHODS I
MATH 631: LINEAR ALGEBRA
Journal Article
Atindehou, Abdou Ganiou, & Frederick, Christina, & Okoudjou, Kasso, & KOUAGOU, Y ́EB ́ENI (2022). On the frame set of the second-order B-spline. Applied and Computational Harmonic Analysis,
Frederick, Christina, & Michalopoulou, Zoi-Heleni (2022). Seabed classification and source localization with Gaussian Processes and Machine Learning. JASA Express Letters, 2(8),
Frederick, Christina, & Egerstedt, Magnus, & Zhou, Haomin (2021). Collective motion planning for a group of robots using intermittent diffusion. Journal of Scientific Computing, 90(13),
Frederick, Christina, & Mayeli, Azita (2021). Frame spectral pairs and exponential bases. Journal of Fourier Analysis and its Applications, 27(75),
Nguyen, Quynh , & Oza, Anand, & Abouezzi, Joanna , & Sun, Guanhua, & Childress, Stephen , & Frederick, Christina, & Ristroph, Leif (2021). Flow rectification in loopy network models of bird lungs. Physical Review Letters, 126(114501), 6.
Frederick, Christina, & Michalopoulou, Zoi-Heleni (2022). Seabed classification and source localization with Gaussian Processes and Machine Learning. JASA Express Letters, 2(8),
Frederick, Christina, & Egerstedt, Magnus, & Zhou, Haomin (2021). Collective motion planning for a group of robots using intermittent diffusion. Journal of Scientific Computing, 90(13),
Frederick, Christina, & Mayeli, Azita (2021). Frame spectral pairs and exponential bases. Journal of Fourier Analysis and its Applications, 27(75),
Nguyen, Quynh , & Oza, Anand, & Abouezzi, Joanna , & Sun, Guanhua, & Childress, Stephen , & Frederick, Christina, & Ristroph, Leif (2021). Flow rectification in loopy network models of bird lungs. Physical Review Letters, 126(114501), 6.
SHOW MORE
Frederick, Christina, & Okoudjou, Kasso (2020). Finding Duality and Riesz Bases of Exponentials. Applied and Computational Harmonic Analysis, 51(2021), 104-117.
Frederick, Christina, & Villar, Soledad, & Michalopoulou, Zoi-Heleni (2020). Seabed Classification using Physics-based Modeling and Machine Learning. Journal of the Acoustical Society of America, 148, 859-872.
Frederick, Christina, & Ren, Kui, & Vallelian, Sarah (2018). Image reconstruction in quantitative PAT with the simplified P2 approximation. SIAM J. Imaging Sci, 11(4), 30.
Frederick, Christina (2018). An L2-stability estimate for periodic nonuniform sampling in higher dimensions. Linear Algebra and its Applications, 555, 361-372.
Frederick, Christina, & Engquist, Bjorn, & Zhou, Haomin , & Huynh, Quyen (2017). Seafloor identification in sonar imagery via simulations of Helmholtz equations and discrete optimization. Journal of Computational Physics, 338, 477-492.
Frederick, Christina (2017). Numerical methods for multiscale inverse problems. Communications in Mathematical Sciences, 15(2), 305 – 328.
Frederick, Christina, & Villar, Soledad, & Michalopoulou, Zoi-Heleni (2020). Seabed Classification using Physics-based Modeling and Machine Learning. Journal of the Acoustical Society of America, 148, 859-872.
Frederick, Christina, & Ren, Kui, & Vallelian, Sarah (2018). Image reconstruction in quantitative PAT with the simplified P2 approximation. SIAM J. Imaging Sci, 11(4), 30.
Frederick, Christina (2018). An L2-stability estimate for periodic nonuniform sampling in higher dimensions. Linear Algebra and its Applications, 555, 361-372.
Frederick, Christina, & Engquist, Bjorn, & Zhou, Haomin , & Huynh, Quyen (2017). Seafloor identification in sonar imagery via simulations of Helmholtz equations and discrete optimization. Journal of Computational Physics, 338, 477-492.
Frederick, Christina (2017). Numerical methods for multiscale inverse problems. Communications in Mathematical Sciences, 15(2), 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
Conference Abstract
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,
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,