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

2022 Fall Courses

MATH 631 - LINEAR ALGEBRA

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 222: DIFFERENTIAL EQUATIONS

MATH 337: LINEAR ALGEBRA

MATH 391: NUMERICAL LINEAR ALGEBRA

MATH 614: NUMERICAL METHODS I

Journal Article

Frederick, Christina, & Michalopoulou, Zoi-Heleni (2022). Seabed classification and source localization with Gaussian Processes and Machine Learning.

Frederick, Christina, & Egerstedt, Magnus, & Zhou, Haomin (2021). Collective motion planning for a group of robots using intermittent diffusion.

Frederick, Christina, & Mayeli, Azita (2021). Frame spectral pairs and exponential bases.

Nguyen, Quynh , & Oza, Anand, & Abouezzi, Joanna , & Sun, Guanhua, & Childress, Stephen , & Frederick, Christina, & Ristroph, Leif (2021). Flow rectification in loopy network models of bird lungs.

Frederick, Christina, & Okoudjou, Kasso (2020). Finding Duality and Riesz Bases of Exponentials.

*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, & Okoudjou, Kasso (2020). Finding Duality and Riesz Bases of Exponentials.

*Applied and Computational Harmonic Analysis*,*51*(2021), 104-117. SHOW MORE

Frederick, Christina, & Villar, Soledad, & Michalopoulou, Zoi-Heleni (2020). Seabed Classiﬁcation using Physics-based Modeling and Machine Learning.

Frederick, Christina, & Ren, Kui, & Vallelian, Sarah (2018). Image reconstruction in quantitative PAT with the simplified P2 approximation.

Frederick, Christina (2018). An L2-stability estimate for periodic nonuniform sampling in higher dimensions.

Frederick, Christina, & Engquist, Bjorn, & Zhou, Haomin , & Huynh, Quyen (2017). Seafloor identification in sonar imagery via simulations of Helmholtz equations and discrete optimization.

Frederick, Christina (2017). Numerical methods for multiscale inverse problems.

*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,